The log base 2 calculator quickly computes the value of the logarithm function with base two, i.e., log₂(x) for arbitrary (positive) x
What do we mean by an expression?
An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent rules.
To help determine the order of operations and other aspects of logical syntax, mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.
To find which expression is equivalent to log₅32:
Law of logarithms:
The law of logarithms states that: log(a) b = log(10)b/log(10)a
Given the log function, which is written as log₅32
a = 5
b = 32
Substitute as: log₅32 = log32/log5
Therefore, the given expression log₅32 is equivalent to the expression log32/log5.
learn more about logrithms here:
https://brainly.com/question/28596588
#SPJ4
Which of the following sets of ordered pairs represents a function? {(-8,-14), (-7,-12), (-6,-10), (-5,-8)} {(-4,-14), (-9,-12), (-6,-10), (-9,-8)} {(8,-2), (9,-1), (10,2), (8,-10)} {(-8,-6), (-5,-3), (-2,0), (-2,3)}
The correct answer is A. {(-8,-14), (-7,-12), (-6,-10), (-5,-8)} which sets of ordered pairs represents a function.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Here, we have,
sets of ordered pairs represents a function are,
{(-8,-14), (-7,-12), (-6,-10), (-5,-8)}
{(-4,-14), (-9,-12), (-6,-10), (-9,-8)}
{(8,-2), (9,-1), (10,2), (8,-10)}
{(-8,-6), (-5,-3), (-2,0), (-2,3)}
Now, we know that,
A function has no repeated values of the independent variable.
So, we have now,
Only choice A meets that requirement.
And,
B: (-9, 12) and (-9, 8) both have -9 as a first value; not a function.
C: (8, -2) and (8, -10) both have 8 as a first value; not a function.
D: (-2, 0) and (-2, 3) both have -2 as a first value; not a function.
To learn more on function click:
brainly.com/question/21145944
#SJP1
Albert has 225 strawberry plants that he wants to plant in a square formation in evenly spaced rows. How many strawberry plants should he plant in each row?
Answer:
15
Step-by-step explanation:
to determine the number of plants per row, take the square root of 225
sqrt(225) = 15
There should be 15 plants per row
Answer:
Step-by-step explanation:
Since the formation of the strawberry plants should represent a square, it implies that the dimensions of the formation (i.e length and breadth) must be equal.
To achieve this, we have to calculate its square root as the formula for the area of any square is given as (side)^2.
Now, [tex]\sqrt{225}[/tex] = 15
implies that each as well as each column will contain 15 strawberry plants
I dont know how to prove the equation below...pls help prove it with clear steps, i have no clue how does sin^2x can go into 1+cosx
Answer:
Answer:
Foci: (±5, 0)
Vertex: ( ±4 , 0)
Eccentricity: e = 5/4
Step-by-step explanation:
Hyperbola:
Write the equation of hyperbola in the form,
\boxed{\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1}
a
2
x
2
−
b
2
y
2
=1
9x² - 16y² = 144
Divide the entire equation by 144,
\begin{gathered}\sf \dfrac{9x^2}{144}-\dfrac{16y^2}{144}=\dfrac{144}{144}\\\\\\ \dfrac{x^2}{16}-\dfrac{y^2}{9}=1\\\\\\\dfrac{x^2}{4^2}-\dfrac{y^2}{3^2}=1\end{gathered}
144
9x
2
−
144
16y
2
=
144
144
16
x
2
−
9
y
2
=1
4
2
x
2
−
3
2
y
2
=1
a = 4 and b =3
Eccentricity: e
\boxed{e=\sqrt{1+\dfrac{b^2}{a^2}}}
e=
1+
a
2
b
2
\begin{gathered}\sf = \sqrt{1+\dfrac{9}{16}}\\\\=\sqrt{\dfrac{16}{16}+\dfrac{9}{16}}\\\\=\sqrt{\dfrac{25}{16}}=\sqrt{\dfrac{5*5}{4*4}}\\\\\\=\dfrac{5}{4}\end{gathered}
=
1+
16
9
=
16
16
+
16
9
=
16
25
=
4∗4
5∗5
=
4
5
Foci:
(ae, 0) & (-ae , 0)
\begin{gathered}\sf \left(4*\dfrac{5}{4},0 \right) \ ; \ \left( -4*\dfrac{5}{4},0 \right)\\\\\\(5, 0) \ ; \ (-5,0)\end{gathered}
(4∗
4
5
,0) ; (−4∗
4
5
,0)
(5,0) ; (−5,0)
Vertex of hyperbola:
The vertex of the hyperbola is a point where the hyperbola cuts the axis. (-a , 0) ; (a , 0)
Vertex : (-4 , 0) ; (4 , 0)
Select all the expressions that are equivalent to 0.3(9n + 22).
–2.7n – 6.6
2.7n + 6.6
2.7 + 6.6n
6.6 + 2.7n
6.6 – 2.7n
Answer:
2.7n + 6.6 or 6.6 + 2.7n
Step-by-step explanation:
Algebraic ExpressionsAlgebraic Expressions are just like Numerical Expressions but instead of numbers, alphabets are used, these alphabets can also be used as variables. (BODMAS rule applies to Algebraic Expressions as well.)
Eg. 45x + 31x(2) = 45x + 62x = 107x
SolutionGiven from the question:
[tex]0.3(9n + 22) \\ = 2.7n + 6.6 \: or \: 6.6 + 2.7n[/tex]
15. Find the lengths of the sides of the kite KITE. (Answer in simplest radical form and show work)
The lengths of the sides of the kite LM is 13√2.
How does Pythagoras' rule work?According to the Pythagorean theorem, the hypotenuse of a right-angled triangle's other two sides add up to a square whose length equals the hypotenuse's.
The hypotenuse (longest side) of a right-angled triangle's square is equal to the sum of its other two sides, according to the Pythagoras theorem (base and perpendicular). Hypotenuse2 = Base2 + Perpendicular2 is how this is expressed. A2 + B2 = C2 is the formula for the hypotenuse.
According to question:-
LM = 13√2
Hypotenuse = Base 2 + Perpendicular 2.
So,
LM = √7² + 17²
LM = √49 + 289
LM = √338
LM = 13√2.
To know more about lengths visit:
brainly.com/question/2217700
#SPJ1
Parallelogram MNPQ was dilated to create parallelogram M'N'P'Q'. On a coordinate plane, 2 parallelograms are shown. Parallelogram M N P Q has points (2, negative 2), (4, negative 2), (3, negative 3), and (1, negative 3). Parallelogram M prime N prime P prime Q prime has points (5, negative 5), (10, negative 5), (8, negative 7), and (3, negative 7). Which statements are true about the parallelograms?
Which statements are true about the parallelograms? Check all that apply.
The length of side MN is 2 units.
The length of side M'N' is 5 units.
The image is smaller than the pre-image.
Sides MQ and M'Q' both have the same slope, 1.
The scale factor is 2/5
Parallelogram M'N'P'Q' is larger than parallelogram MNPQ because MN and M'N' have lengths of 2 and 5 respectively, and parallelogram MNPQ is dilated by a factor of 5/2 to give parallelogram M'N'P'Q'.
What is parallelograms?A parallelogram is a straightforward quadrilateral in Euclidean geometry that has two sets of parallel sides. In a particular kind of quadrilateral known as a parallelogram, both sets of opposite sides are parallel and equal. There are four different kinds of parallelograms, including three unique kinds. Parallelograms, squares, rectangles, and rhombuses are the four different shapes. Having two sets of parallel sides makes a quadrilateral a parallelogram. In a parallelogram, the opposing sides and angles are both the same length. On the same side of the horizontal line, the interior angles are additional angles as well. 360 degrees is the total number of interior angles.
To make parallelogram M'N'P'Q, parallelogram MNPQ was enlarged.
Points include M(2, 2), N(4, 2), P(3, 3), and Q. (1,-3)
M'(5, 5), N'(10, 5), P'(8, 7), and Q' (3,-7)
A) First, determine Minnesota's length:
|MN| = 2
|M'N'| = 4
To know more about parallelograms visit:
https://brainly.com/question/29147156
#SPJ4
GIVING BRAINLIEST AND MANY POINTS FOR ANSWER I BEG PLEASE PLEASE
1. Use the Distributive Property to simplify the expression.
6(5 - q)
Group of answer choices
11 - 6q
11 - q
30 - 6q
1 - q
3.
Use the Distributive Property to simplify the expression.
(d + 2)(-7)
Group of answer choices
-7d - 14 OR -7d + -14
7d - 2 OR 7d + -2
d - 14 OR d + -14
d - 5 OR d + -5
4. Use the Distributive Property to simplify the expression.
-4(x - 6y)
Group of answer choices
4x + 24y
-4x + 24y
4x - 1.5y
-4x - 10y
5. Use the Distributive Property to simplify each expression.
a) -3(5 + b)
=
[ Select ]
+
[ Select ]
b
b) 3(-4x + 8)
=
[ Select ]
x +
[ Select ]
6. The table shows different prices of items at a movie theater.
Item Cost ($)
box of candy 2.25
drink 3.25
popcorn 4.50
ticket 7.50
Suppose Mina and her two friends want to go to the movies.
Which expression could be used to find the total cost if each of them buy one of each item?
[ Select ]
What is the total cost for all three people?
$
[ Select ]
Answer:
1. 30 − 6q
3. −7d − 14 OR -7d + -14
4. = −4x + 24y
5. a) −3b − 15 b)−12x + 24
6. For the first answer to this question: 3x + 3y OR 3x = t
For the second answer to this question: 3x = t and it costs 15 dollars in total with x = 5.
What is the smallest four-digit palindrome that is divisible by 4? (A palindrome is a number that reads the same forwards and backwards, like 61216.)
Answer:
1004 is the smallest four-digit palindrome that is divisible by 4.
A traffic study has shown that the probability that 5 cars will pass over a small bridge in a 4-minute period is 0.16.
What are the odds against exactly 5 cars passing over the bridge in that time?
Answer: The odds against an event occurring are the ratio of the probability that the event will not occur to the probability that the event will occur. To find the odds against an event, you can use the formula:
Odds against = (1 - probability of event occurring) / probability of event occurring
In this case, the event is that exactly 5 cars will pass over the bridge in a 4-minute period. The probability that this event will occur is 0.16. Therefore, the odds against this event occurring are:
Odds against = (1 - 0.16) / 0.16
= 0.84 / 0.16
= 5.25
So, the odds against exactly 5 cars passing over the bridge in a 4-minute period are 5.25 to 1.
It means that there are 5.25 times more likely that it will not happen compare to happen.
Step-by-step explanation:
Of the 360 members of the kennel club who were
surveyed, 190 said they would try a new dog food.
If the kennel club has 2,100 members, how many
could be expected to try the new dog food?
Please just write the numerical value of the volume of the prism.
I really need an answer for this FAST so if anybody can answer id really appreciate it :)
The volume of the prism in the attached figure is calculated to be
672 m³
How to find the volume of the prismIn the given problem, the formula used for volume of prism is
= area of base * height
Assuming a triangular base
area of triangular base = 1/2 * base * height
where
base = 12 m
height = 14 m
area of triangular base = 1/2 * 12 * 14
area of triangular base = 84 m²
The volume of the prism with a triangular base
volume of the prism = area of triangular base * height
where
area of triangular base = 84 m²
height = 8 m
volume of the prism = 84 * 8
volume of the prism = 672 m³
The volume of the prism is solved to be 672 m³
Learn more about prism at:
https://brainly.com/question/23963432
#SPJ1
Which graph represents the function?
f(x)=3√x + 2
Ali found out the number of rooms in each of 40 houses in a town. He used the information to complete the frequency table. Number of Rooms Frequency 4 4 5. 7 6 10 7 12 8 5 9 2 Calculate the mean number of rooms.
The mean number of rooms = 6
We know that the formula for the mean.
mean = sum of all observations / total number of observations
First we find thr total number of rooms, from given frequency table.
Number of Rooms Frequency Total number of rooms
4 4 16
5 7 35
6 10 60
7 12 84
8 5 40
9 2 18
So, the total number of rooms of 40 houses in a town would be,
16 + 35 + 60 + 84 + 40 + 18 = 253
And the total number of houses = 40
Using above formula of mean, the mean number of rooms would be,
x = 253/40
x = 6.325
Therefore, on an average there are 6 rooms in each house.
Learn more about the mean here:
https://brainly.com/question/15323584
#SPJ4
(6) (Bonus) A rectangular tank with a bottom and sides but no top is to have volume 500 cubic feet. Determine the dimensions (length, width, height) with the smallest possible surface area.
The dimensions length is 10 feet, width is 10 feet and height is 5 feet and the smallest possible surface area is 300 square feet.
Volume=lbh
lbh=500 cubic feet
h=500/lb
Surface area S=lb+2bh+2lh...(1) {rectangular tank has no top}
S=lb+2b(500/lb)+2l(500/lb) {substituting the value of h in 1}
S=lb+1000/l+1000/b { partially differentiating S with respect to l and b}
for S to be minimum dS/dl=0 and dS/db=0
dS/dl= b-1000/l^2
dS/dl=0
b=1000/l^2...(2)
dS/db= l-1000/b^2
dS/db=0
l=1000/b^2
l=1000/(1000/l^2)^2 {substituting the value of b from 2}
l=(1000 x l^4)/(1000000)
1000000/1000=l^4/l
1000=l^3
l=10 feet
b=1000/l^2
b=1000/100=10 feet
lbh=500
h=500/(10x10(
h=5 feet
S=10x10+2x5x10+2x10x5
S=300 square feet
Length is 10 feet, width is 10 feet and height is 5 feet and the smallest possible surface area is 300 square feet of the rectangular tank.
To know more about partial derivative:
https://brainly.com/question/14782333
#SPJ4
Radicals
How do I Simplify
(4√5-3)(√5-2)
Answer:
26 - 11√5
Step-by-step explanation:
(4√5-3)(√5-2)
= 4√5 (√5-2) -3 (√5-2)
= 4√5 √5 + 4√5 ⋅ -2 -3 (√5-2)
= 4√5 √5 + 4√5 ⋅ -2 -3√5 -3 ⋅ -2
= 26 - 11√5
If you can, please give me a Brainliest; thank you!
Find the coefficient of the $x^2$ term in the expansion of the product$$(2x^2 3x 4)(5x^2 6x 7).$$
The coefficient of [tex]x^{2}[/tex] in [tex](2x^{2}-3x-4)-(5x^{2}+6x-7)[/tex] is -3.
A coefficient is a multiplicative factor in a polynomial, series, or expression in mathematics. It is typically a number, although it can also be any expression (including variables such as a, b and c). They may also be referred to as parameters if the coefficients are variables in and of themselves. The coefficient in an expression that is not related to any variables is called the constant coefficient (also known as constant term or free coefficient).
Given equation,
[tex](2x^{2}-3x-4)-(5x^{2}+6x-7)[/tex]
= [tex]2x^{2}-3x-4-5x^{2}-6x+7[/tex]
= [tex]-3x^{2}-9x+3[/tex]
Hence, coefficient of [tex]x^{2}[/tex] is -3.
To learn more about coefficient here:
https://brainly.com/question/28975079
#SPJ4
How do you prove inverse?
To prove the inverse :
In the equation expressing the function, swap out f(x) for y.Swap out x and y. To put it another way, swap out every x for a y and vice versa.Solve for y.Change y to [tex]f^{-1}[/tex] (x).You assemble the functions (that is, insert x into one function, plug that function into the suggested inverse function, then simplify) and check that you end up with simply "x" to establish (or refute) that two functions are the inverses of one another. The functions are inverses if you get x; otherwise, they are not.
To learn more about inverse here:
https://brainly.com/question/2541698
#SPJ4
What is undecidable problem give two examples?
An undecidable problem is one for which it has been demonstrated that it is impossible to develop an algorithm that always leads to the correct yes-or-no answer. Two examples are:
The Whitehead problem The halting problemWhat the halting problem?The halting problem is the problem of determining whether a computer programme will finish running or continue to run indefinitely based on a description of the programme and an input. Alan Turing demonstrated in 1936 that a general algorithm for solving the halting problem for all possible program-input pairs does not exist.
A "pathological" programme g, when called with some input, can pass its own source and input to f and then specifically do the opposite of what f predicts g will do. This case cannot be handled by any f. A key part of the proof is a mathematical definition of a computer and programme, known as a Turing machine; the halting problem is intractable over Turing machines.
Learn more about undecidable problem
https://brainly.com/question/27345304
#SPJ4
Tlaloc pumped up 565656 ball. He pumped up 555 dodge ball for every 999 other ball. Complete the table. Original ratio Number Tlaloc pumped up
Dodge ball 555
Other ball 999
Total ball
5656
20 dodgeballs have been pumped up by Ttaloc.
Ttaloc has 36 additional pumped-up balls.
The complete ball's original number is 14.
The relationship between two or more numbers is expressed by the ratio. It displays the frequency of how often one value is encapsulated by another value (s).
The number of dodgeballs Ttaloc pumped up = (5/14) x 56 = 20
The number of other balls Ttaloc pumped up = (9/14) x 56 = 36.
A ratio in mathematics demonstrates how many times one number is present in another.
A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.
To learn more about Ratios :
https://brainly.com/question/2328454
#SPJ4
MATH PLEASE I NEED ANSWER
If it takes 9 hours to travel from North Carolina to Florida driving an
average speed of 55 mph, about how long will it take to travel from North
Carolina to Florida driving an average speed of 70 mph?
Time taken to travel from North Carolina to Florida driving an average speed of 70 mph is 7 hours.
What is the typical speed?Calculating average speed involves dividing the total distance traveled by the total time it took to cover that distance.
Given,
Time taken to travel = 9hours
average speed =55 mph
distance between North Carolina to Florida = speed x distance
distance= 55 x 9
distance= 495 miles
if driving at speed of 70 mph
time taken = distance/speed
time taken=495/70
time taken=7 hours
To know more about average speed visit:-
brainly.com/question/2004627
#SPJ1
Kendra used 6 loaves of bread on an 8 day hiking trip. She wants to know how many loaves of bread she should pack for a 12 day hiking trip if she eats the same amount of bread each day.
Answer:
9 loaves of bread
Step-by-step explanation:
We know
8 days = 6 loaves of bread
1 day = 0.75 loaves of bread
12 days = 0.75 x 12 = 9 loaves of bread
So, she should pack 9 loaves of bread for a 12-day hiking trip.
Answer: Kendra will need to back 9 loaves of bread for a 12 day hiking trip.
Step-by-step explanation:
Alright, the first step to solve any math problem is to take a look at the information we have. We know that Kendra has eaten through 6 loaves over the course of 8 days. We want to know how much bread she needs if she takes a 12 day hiking trip.
Because she's eating the same amount of bread each day, we need to find out how much of a loaf she eats daily. In order to find that number, we have to divide. In this case, it would be 6/8. (Amount of bread she has/Time taken to eat that bread).
This gives us 0.75. This means that Kendra eats 0.75 of a loaf of bread daily. In order to find out how much bread she needs for a 12 day hiking trip, all we have to do is multiply by 12.
0.75 * 12 = 9.
Kendra will need to back 9 loaves of bread for a 12 day hiking trip.
P.S. You could also do this with fractions by simplifying 6/8 to 3/4 (divide the numerator and denominator by 2, as they're both divisible by 2), and then multiply like 12 in the same way. They both yield the same answer, so it's a matter of preference. I used decimals as I found them easier to work with!
Tickets for all of the described charity raffle games cost $2 per ticket .identify the games in which a person who buys a ticket for each game every day for the next 400 days could expect to lose less than a total of $200
Answer: To determine the games in which a person who buys a ticket for each game every day for the next 400 days could expect to lose less than a total of $200, we need to find the games in which the probability of winning is greater than the probability of losing.
Since the tickets for all of the games cost $2 per ticket, the probability of winning any given game is equal to the prize money divided by the ticket cost. For example, if the prize money for a game is $10, the probability of winning is $10/$2 = 1/2.
If the probability of winning a game is greater than the probability of losing, the expected value of the game is positive, which means that the person can expect to win more than they lose over time. On the other hand, if the probability of winning is less than the probability of losing, the expected value of the game is negative, which means that the person can expect to lose more than they win over time.
Therefore, to determine which games the person could expect to lose less than $200 in total, we need to find the games in which the prize money is greater than $2 per ticket.
Step-by-step explanation:
What is the value of the polynomial 5x − 4x^2 3 at x =- 1?
The value of the polynomial "5x - 4x^2 + 3" at x =- 1 is -6.
The polynomial is 5x - 4x^2 + 3, and it is required to find its value at x = -1,
Now solve the polynomial by putting the value of x equal to -1:
5(-1) - 4(-1)^2 + 3 , x = - 1
-5 - 4 ( 1 ) + 3 , squaring -1 gives + 1
minus 5 minus 4 plus 3
( - 9 + 3)
( - 6 )
Hence, is shown that the value - 6 is obtained when the given polynomial "5x - 4x^2 + 3" is solved for x = -1.
You can learn more about polynomial at
https://brainly.com/question/2833285
#SPJ
How do you find the third angle of a triangle if two angles are given?
To find the third angle of a triangle if you know the measures of the other two angles, you can use the fact that the sum of the measures of the angles in any triangle is always 180 degrees.
For example, let's say you know that angle A measures x degrees and angle B measures y degrees. To find the measure of angle C (the third angle), you can use the following equation:
x + y + C = 180°
To solve for C, you can subtract x and y from both sides of the equation:
C = 180 - x - y
So, the measure of angle C is equal to 180 degrees minus the measure of angle A and angle B.
To know more on Angle sum property of a triangle
https://brainly.com/question/8492819
#SPJ4
solve for g here
[tex]55g + 25 = 625 \div 25[/tex]
Answer:
0
Step-by-step explanation:
625 / 25 = 25
55g + 25 = 25
55g = 25 - 25
55g = 0
g = 0/55
g = 0
Answer:
[tex] \sf \: g = 0[/tex]
Step-by-step explanation:
Given equation,
→ 55g + 25 = 625 ÷ 25
Now the value of g will be,
→ 55g + 25 = 625 ÷ 25
→ 55g + 25 = 25
→ 55g = 25 - 25
→ g = 0 ÷ 55
→ [ g = 0 ]
Hence, the value of g is 0.
Melody has two different posters to put up in her bedroom. Poster A has an area of 450 square inches. Poster B has an area of 326 square inches. How much area of Melody's bedroom wall will the two posters cover, in square inches?
The two posters will cover 776 square inches of Melody's bedroom wall.
To find this, you add the area of the two posters together. Poster A has an area of 450 square inches, and poster B has an area of 326 square inches. By adding these two values together, we get 450 + 326 = 776 square inches. This is the total area that the two posters will cover on Melody's bedroom wall. It is important to note that this is assuming that the posters do not overlap each other and that they are placed next to each other, covering an equal area of the wall.
Learn more about Simple Addition here:
https://brainly.com/question/28954094
#SPJ4
Expand 2/3(t - 2) pleaseee helppppp asap
Answer:
[tex]\frac{2t-4}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}[/tex][tex](t-2)\\[/tex]
=> [tex](\frac{2}{3} * t ) + (\frac{2}{3} * -2)[/tex]
=> [tex]\frac{2t}{3} + (-\frac{4}{3})[/tex]
=> [tex]\frac{2t-4}{3}[/tex]
Hope you understood!!
How many times smaller is 2.7 x 10^3 than 5.481 x 10^5?
Function: This means that 2.7 x 10^3 is about 201.593 times smaller than 5.481 x 10^5. This can also be expressed as 0.049 or 4.9%.
What is function?A function is a mathematical relation between two sets of values, usually between an input and an output. It can be thought of as a machine that takes a certain input and produces a certain output.
2.7 x 10^3 is about 0.049 times smaller than 5.481 x 10^5.
To determine this, we can divide the two numbers. 5.481 x 10^5 divided by 2.7 x 10^3 equals about 201.593.
This means that 2.7 x 10^3 is about 201.593 times smaller than 5.481 x 10^5. This can also be expressed as 0.049 or 4.9%.
To learn more about function
https://brainly.com/question/10439235
#SPJ1
PLS HELP ASAP 50 POINTS!!!
Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by AAS
The angles that would make triangle ABC congruent to triangle PDF by AAS are ∠ ACB and ∠ PFD i.e. ∠ ACB = ∠ PFD.
What is triangle?Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.
Given:
The triangle ABC and PDF are concurrent by AAS,
The AAS concurrency required two angles and one side to be equal,
Here,
AB = PD,
∠ ABC = ∠ PDF
Now one more angle is required to be equal,
∠ ACB = ∠ PFD
Thus, the missing angle is ∠ ACB and ∠ PFD.
To know more about Triangles:
https://brainly.com/question/16886469
#SPJ1