Answers
Answer:
145°
Step-by-step explanation:
See the attachment. Angles A, B, and C all belong to the triangle.
We know that A + B + C = 180° since the angles of a triangle always add to 180°. We also know that when two lines meet that their sum is also equal to 180°. So we can write for each interior angle the following:
Result
<A = (180 - 88) 72
<B = (180-x) 180-x
<C = (180 - 127) 53
The sum of angles A, B, and C is equal to 180:
72 + (180-x) + 53 = 180
x = 145
Related Questions
One gallon is approximately 3. 875 liters. Mario buys 1. 5 gallons of gasoline for his lawn trimmer. How many liters of gasoline, to the nearest tenth, did Mario buy?.
Answers
Based on the amount of gasoline Mario bought in gallons, the amount in liters would be 5.8 liters.
A single gallon is equivalent to 3.875 liters.
If Mario bought 1.5 gallons of gasoline, the amount he bought in liters would be:
= Gasoline in gallons x Number of liters per gallon
= 1.5 x 3.875
= 5.8125
= 5.8 liters
In conclusion, Mario bought 5.8 liters of gasoline.
Find out more at https://brainly.com/question/237650.
If the triangles are similar, which must be true? StartFraction R Y Over Y S EndFraction = StartFraction R X Over X T EndFraction = StartFraction X Y Over T S EndFraction StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction X Y Over T S EndFraction StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction R S Over R Y EndFraction StartFraction R Y Over R X EndFraction = StartFraction R S Over R T EndFraction = StartFraction X Y Over T S EndFraction.
Answers
The correct relation between the triangles if the triangles are similar is, [tex]\dfrac{RY}{RS} = \dfrac{RX}{RT} = \dfrac{XY}{TS}[/tex].
Given that,
Consider [tex]\rm \triangle RST[/tex] and [tex]\rm \triangle RYX[/tex].
Triangle RST is shown.
Line XY is drawn parallel to side ST within triangle RST to form a triangle [tex]\rm \triangle RYX[/tex].
We have to determine,
If the triangles are similar, which must be true?
According to the question,
Consider [tex]\rm \triangle RST[/tex] and [tex]\rm \triangle RYX[/tex].
Triangle RST is shown.
The relationship between the triangles is line XY is drawn parallel to side ST within triangle RST to form [tex]\rm \triangle RYX[/tex].
The point X on side RT and point Y on side RS in [tex]\rm \triangle RYX[/tex].
Then,
The [tex]\rm \triangle RST[/tex] is similar to [tex]\rm \triangle RYX[/tex], the corresponding ratio of their sides are equal,
[tex]\dfrac{RY}{RS} = \dfrac{RX}{RT} = \dfrac{XY}{TS}[/tex]
Hence, The correct relation between the triangles if the triangles are similar is, [tex]\dfrac{RY}{RS} = \dfrac{RX}{RT} = \dfrac{XY}{TS}[/tex].
For more details about Triangle refer to the link given below.
https://brainly.com/question/13858149
Answer:
B.
Step-by-step explanation:
Edge 2022
Question
Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 of a gallon is drained from the tank. The third day, 810 of a gallon is added to the tank. The fourth day, 610 of a gallon is drained from the tank. The amount of water in the tank after 15 days is given by
910+(−710)+810+(−610)+⋯+310+(−110)+210.
How much water is in the tank after 15 days? Write your answer as a decimal.
Answers
Answer:
ililil
Step-by-step explanation:
Consider the function g(x) shown below over a domain of [1,∞).
g(x) = 2(x – 1)2 – 3
Part A
Determine g–1(x).
Part B
Identify the domain and range of g(x) and g–1(x). Represent the domains and ranges in inequality, interval, and set notation. Describe the relationship between the domains and ranges of g(x) and g–1(x).
Part C
Graph g(x) and g–1(x). Describe the relationship between the graphs of g(x) and g–1(x).
Answers
The inverse of a function may or may not be a function
The function g(x) is given as:
[tex]g(x) = 2(x - 1)^2 - 3[/tex]
(a) Inverse function g^-1(x)
We have:
[tex]g(x) = 2(x - 1)^2 - 3[/tex]
Replace g(x) with y
[tex]y = 2(x - 1)^2 - 3[/tex]
Swap the positions of x and y
[tex]x = 2(y - 1)^2 - 3[/tex]
Add 3 to both sides
[tex]x + 3 = 2(y - 1)^2[/tex]
Divide both sides by 2
[tex]\frac{x + 3}2 = (y - 1)^2[/tex]
Take square roots of both sides
[tex]\sqrt{\frac{x + 3}2} = y - 1[/tex]
Add 1 to both sides
[tex]1 + \sqrt{\frac{x + 3}2} = y[/tex]
Rewrite as:
[tex]y = 1 + \sqrt{\frac{x + 3}2}[/tex]
Express as inverse function of g
[tex]g^{-1}(x) = 1 + \sqrt{\frac{x + 3}2}[/tex]
Hence, the inverse function of g is [tex]g^{-1}(x) = 1 + \sqrt{\frac{x + 3}2}[/tex]
(b) The domain, and the range of g(x) and g^-1(x)
Function g(x)
The function g(x) is a quadratic function.
So, the domain is:
Inequality: [tex]-\infty < x < \infty[/tex]Interval: [tex](-\infty ,\infty)[/tex]Set: {R}The range is:
Inequality: [tex]f(x) \ge -3[/tex]Interval: [tex][-3 ,\infty)[/tex]Set: [tex]\{y|y\ge -3\}[/tex]Function g^-1(x)
The function g^-1(x) is a square root function.
So, the domain is:
Inequality: [tex]x \ge -3[/tex]Interval: [tex][-3 ,\infty)[/tex]Set: [tex]\{x|x\ge -3\}[/tex]The range is:
Inequality: [tex]-\infty < y < \infty[/tex]Interval: [tex](-\infty ,\infty)[/tex]Set: {R}The domain of g(x) is the range of g^-1(x), while the range of g(x) is the domain of g^-1(x).
(c) The graph
See attachment for the graph
Read more about inverse functions at:
https://brainly.com/question/14391067
4(2v+6)=[?]v+[ ]
what is the questionmark
Answers
Answer: 8v+24
Step-by-step explanation:
[tex]4(2v+6)=4(2v)+4(6)=8v+24[/tex]
(6x²+2x-1)-(8x²-x-5)
Answers
Answer:
-2x^2 + 3x + 4
Hope this helps. :D
Step-by-step explanation:
Pls give brainliest.
.RP.1.3 | JoAnn bought 2 shirts for $13.50 each and a purse for $8.
The sales tax was 6%. What is the total she paid for her
purchase, including tax?
Answers
Answer:
The answer is $22.79. Hope this helped! If the answer is wrong i'm super sorry!
Step-by-step explanation:
$13.50 + $8 = $21.50
0.06 x 21.50 = $1.29
$1.29 + $21.50 = $22.79
what is factoring: problems involving factors of polynomials
Answers
Answer: Factoring is essentially the reverse of the distributive property. You are basically trying to simplify the polynomial by taking out common factors. You also may try reducing the power (or the highest exponent) of the polynomial with factoring. I would say that factoring is the breaking down of a bigger polynomial into a product of two expressions that are usually multiplied by each other. One specific use of factoring we see a lot is the quadratic formula.
1. Quadratic Factoring --> [tex]x^2+2x-15[/tex] --> we have an [tex]x^2[/tex] but we want there to only be "[tex]x[/tex]"s. Here we need to constant numbers (integers), that multiply together to get [tex]-15[/tex], and add up to [tex]+2[/tex]. (5 and -3)
- [tex]x^2+2x-15[/tex] ==> [tex]x^2+5x-3x-15[/tex] ==> [tex]x(x+5)-3(x+5)[/tex] ==> [tex](x-3)(x+5)[/tex]
Above: We can see that we factor out [tex]x[/tex] from [tex]x^2+5x[/tex] (This shows that we are aiming to break it down to make it easier to evaluate).
Remember: Factoring does not always mean that the polynomial is in a simpler form. There are many situations where factoring is totally unnecessary and complicates the polynomial even more.
--------------------------------------------------------------------------------------------------------------On a separate note: Distributive Property, if you are unsure or not fully sure on what that means, is when you multiply two expressions together to create one expression. Multiple expressions are combining into one.
Factoring out the greatest common factor (GCF)
Find the GCF of all the terms in the polynomial.
Express each term as a product of the GCF and another factor.
Use the distributive property to factor out the GCF.
what comes after this:
2:4
4:8
8:10
_:_
Hint: Times two (x2) if you answer right then you shall get 30 points which is half of mine
You answer it you get 15 points so answer away
Answers
Answer:
16:20??
Lol I think it's wrong sorry.
Step-by-step explanation:
A vegetable cart sells potatoes for $0.24 and tomatoes for $0.76. Fred bought 12 vegetables in total. He only bought potatoes and tomatoes. If Fred paid $6.52 total, how many potatoes did he buy?
Answers
Let potatoes be a and tomatoes be b
[tex]\\ \sf\longmapsto a+b=12---(1)[/tex]
[tex]\\ \sf\longmapsto 0.24a+0.76b=6.52[/tex]
Simplify 2nd one
[tex]\\ \sf\longmapsto 0.06a+0.19b=1.63[/tex]--(2)
Solving both equations
b=7a=12-7=5Susan made 75 pieces of peanut brittle to share equally with her friends. She put 4 pieces of peanut brittle in each bag. She gave all the left over pieces of peanut brittle to her mom. How many pieces of peanut brittle did Susan give her mom?
Answers
Answer:
72/4=18 with remainder of 3 peices given to her mom
Step-by-step explanation:
Use the correct order of operations to solve the problem below.
26 - (5 + 4) - 20 ÷ 4
Answers
Answer:
15
Step-by-step explanation:
To solve this question we will be using BIDMAS.
This stands for, Brackets, indices, division, multiplication, addition and subtraction.
As brackets is first, we need to do 5+4, to get 9.
This gives us 26-9-20 divide 4
Next is division so we do 20 divide by 4, to get 5.
This gives us 29-9-5
So now we subtract 9 from 29 to get 20, and 5 from 20 to get 15, which is our final answer.
A red die is tossed and then a
green die
is tossed. What is the probability that
the red die shows an even number and
the green die shows an even number?
Make sure your answer is reduced.
Answers
Answer: 1/4
Step-by-step explanation:
There are three even numbers and three odd numbers on a 6 sided dice
The probability of rolling an even number on the red die is: p(red with even) = 3 / 6, or 1 / 2, since there are six numbers on a die.
The probability of rolling an even number on the green die is the same as the probability of rolling an even number on the red die, or 3 / 6, or 1 / 2.
Since rolling the red die and rolling the green die are independent events, to find the probability of both occurring, you need to multiply the individual probabilities.
P(of both red and green even) = 1/2 * 1/2, or 1/4.
Answer:
3/4
Step-by-step explanation:
This is what I got for Acellus
Compute the fare without tip: 1 passenger, 9.5 miles. Round to nearest fifth of a mile when dividing.
$28.53
$26.60
$27.83
$25.23
Answers
The fare without tip for the Metro Taxi is of 1 passenger and 9.5 miles is $27.83.
The given parameters:
Number of passenger = 1Total distance = 9.5 milesCost of first 0.2 mile = $0.75Cost of additional mile = $0.55Cost of a passenger = $1.50The fare without tip for the Metro Taxi is calculated as follows;
for the first 0.2 mile = $0.75the remaining distance = 9.5 - 0.2 = 9.3 miles[tex]cost \ of \ distance = \$ 0.75 \ \ + \ \ \frac{\$ 0.55}{0.2 \ mile} \times 9.3 \ miles\\\\cost \ of \ distance = \$ 26.325[/tex]
Cost of 1 passenger = $1.50
The total cost is calculated as follows;
total cost = $1.50 + $26.325
total cost = $27.83
Thus, the fare without tip for the Metro Taxi is of 1 passenger and 9.5 miles is $27.83.
The complete question is below:
Compute the fare without tip: 1 passenger, 9.5 miles. Round to nearest fifth of a mile when dividing.
Metro Taxi: first 1/5 mi= $0.75, each additional 1/5 mi= $0.55, each additional passenger= $1.50.
Learn more about cost per miles here: https://brainly.com/question/2513267
What is (f •g)(x)
f(x)= -3x^2-5x
g(x)=5x
Answers
Answer:
sorry I didnt get you. whats the mean of ^ symbole.
Which of the following is not true about the mean of a set of data?
The mean can be less than the minimum data value.
The mean can be the same value as the median.
The mean can be different from all the data values.
The mean can be one of the data values.
Answers
Answer:
i think the answer is -> "the mean can be less than the minimum data value."
Step-by-step explanation:
mean means the average and by finding the average you need to add up all your set values then divide it, so with that being said the mean will always need to be higher than the lowest data set of value.
Simplify.
46‾√+26‾√−6‾√
56‾√
518‾‾‾√
618‾‾‾√
66‾√
Answers
618 hope this helps you have an amazing week
I need help asap pls
Answers
Answer:
d? Kerana ianya tidak sama kaki
Hannah is making cakes for the bake sale at her school. Each cake requires 1 1/2 cups of sugar. How many complete cakes can Hanna make if she has 6 3/4 cups of sugar?
Help please ? :)
Answers
Answer:
4
Step-by-step explanation:
Divide 6 3/4 by 1 1/2
Convert into improper fractions, 27/4 and 3/2
[tex]\frac{27}{4} / \frac{3}{2}[/tex]
[tex]\frac{27}{4} * \frac{2}{3}[/tex]
[tex]\frac{9}{2} = 4.5[/tex]
The question asks for the number of whole cakes, so the answer would be 4.
Answer : 4
Step - by - step explanation :
In - order to find out how many cakes Hannah can make we need to find out how many 1 1/2 cups of sugar she has . . .
what is 6 3/4 divided by 1 1/2 --> 6 3/4 divided by 1 2/4 ? 4 1/2
SO ! Hannah can make 4 complete cakes
i need help please thanks
Answers
Answer:
I can't write the equation but getting the answer is easy.
The difference in volume of the 2 aquariums is .2 cubic feet.
The difference in weight is 12.48 pounds.
Therefore, .2 cubic feet of water weighs 12.48 pounds. Therefore the
weight of 1 cubic foot of water = 12.48 / .2 = 62.4 pounds.
Step-by-step explanation:
A town has two shopping malls. A survey conducted on the shopping preferences of the town's residents showed that 62% of the residents visit Comet Mall, 73% of the residents visit Star Mall, and 48% of the residents visit both malls. The probability that a resident is chosen at random shops at either Comet Mall or at Star Mall is
Answers
Using Venn probabilities, it is found that:
The probability that a resident is chosen at random shops at either Comet Mall or at Star Mall is 0.87 = 87%.In this problem, the events are:
Event A: Visits Comet Mall.Evenet B: Visits Star Mall.In this problem:
62% of the residents visit Comet Mall, hence [tex]P(A) = 0.62[/tex].73% of the residents visit Star Mall, hence [tex]P(B) = 0.73[/tex].48% of the residents visit both malls, hence [tex]P(A \cap B) = 0.48[/tex]The probability of either is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Hence:
[tex]P(A \cup B) = 0.62 + 0.73 - 0.48 = 0.87[/tex]
The probability that a resident is chosen at random shops at either Comet Mall or at Star Mall is 0.87 = 87%.You can learn more about Venn probabilities at https://brainly.com/question/25698611
Answer:
87%.
Step-by-step explanation:
The probability that a resident chosen at random shops at either Comet Mall or at Star Mall is 87%.
Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): -5, -3,1.
Assume the leading coefficient is 1.
Answers
Answer:
f(x) = x^3 + 7x^2 + 7x -15
Step-by-step explanation:
f(x) = (x+5)(x+3)(x-1)
f(x) = (x^2 + 3x + 5x + 15)(x-1)
f(x) = (x^2 + 8x + 15)(x-1)
f(x) = x^3 + 8x^2 + 15x -x^2 -8x -15
simplify
f(x) = x^3 + 7x^2 + 7x -15
Answer:
[tex]f(x) = (x + 5)\, (x + 3)\, (x - 1)[/tex].
Step-by-step explanation:
By the factor theorem, if a constant [tex]a[/tex] is zero of the polynomial [tex]f(x)[/tex], [tex](x - a)[/tex] would be a factor of this polynomial. (Notice how [tex]x = a[/tex] would indeed set the value of [tex](x - a)\![/tex] to [tex]0[/tex].)
For instance, since [tex](-5)[/tex] is a zero of the polynomial [tex]f(x)[/tex], [tex](x - (-5))[/tex] would be a factor of [tex]f(x)\![/tex]. Simplify this expression to get [tex](x + 5)[/tex].
Likewise, the zero [tex](-3)[/tex] would correspond to the factor [tex](x + 3)[/tex], while the zero [tex]1[/tex] would correspond to the factor [tex](x - 1)[/tex].
All three of these factors above are linear, and the degree of the variable [tex]x[/tex] in each factor is [tex]1[/tex]. Multiplying three such linear factors would give a polynomial of degree [tex]3[/tex].
Given the three factors, the expression of [tex]f(x)[/tex] in factored form would be:
[tex]f(x) = m\, (x + 5)\, (x + 3)\, (x - 1)[/tex] for some constant [tex]m[/tex].
When this expression is expanded, the constant [tex]m[/tex] would be the coefficient of the [tex]x^{3}[/tex] term (the leading term.) In other words, [tex]m\![/tex] is the leading coefficient of [tex]f(x)[/tex]. This question has required this coefficient to be [tex]1[/tex]. Thus, [tex]m = 1[/tex]. The expression of [tex]f(x)\![/tex] in factored form would be:
[tex]f(x) = (x + 5)\, (x + 3)\, (x - 1)[/tex].
When is new years????????????
Answers
Answer:
21 day
Step-by-step explanation:
EASY MArk as brainliest
Answer:
January 1 is new years day! can I get branliest:>
1. How many small squares are in Step 10?
Image below
A. 10
B. 11
C. 90
D. 110
Answers
Answer:
110 squares
Step-by-step explanation:
= 10 x 11
= 110 small squares.
From the question,
Step one : • • = 1(2) small squares
Step two : • • • = 3 squares in two layers = 2(3) = 6 small squares
• • •
Step three : • • • • = 4 squares in 3 layers = 3(4) = 12 small squares
• • • •
• • • •
Ann and Betty shared a sum of money in the ratio 2:3 respectively. Ann Received $120. What was Betty’s share?
Answers
Answer:
A:B::2:3
123:x
set up as fractions:
[tex]\frac{2}{3}[/tex] [tex]\frac{120}{x}[/tex] 120*3=360
360/2=180
Betty Received $180
A baker displays 72 muffins on 8 identical trays.
How many trays does the baker need to display 54 muffins?
Enter your answer in the box.
Answers
Explanation=72 divided by 8=9. 54 divided by 9=6
help pls will give brainliest
Answers
Answer:
$100-5(15) aka $25 still owed
will mark brainleist pls help
Answers
Step-by-step explanation:
Angle c + angle d = 180° ( linear pair)
given,
angle c = 5x + 9
angle d = 5x - 6
now,
5x + 9 + 5x - 6 = 180
10x + 3 = 180
10x = 180 - 3 = 177
10x = 177
x = 177/10 = 17.7
so,
angle C = 5x + 9 = 5(17.7) + 9 = 97.50°
angle D = 5x - 6 = 5(17.7) - 6 = 82.50°
Hope this answer helps you dear! take care!.
A ship leaves port at 10 miles per hour, with a heading of N 35° W. There is a warning buoy located 5 miles directly north of the port. What is the bearing of the warning buoy as seen from the ship after 7.5 hours?
Answers
The value of the angle subtended by the distance of the buoy from the
port is given by sine and cosine rule.
The bearing of the buoy from the is approximately 307.35°Reasons:
Location from which the ship sails = Port
The speed of the ship = 10 mph
Direction of the ship = N35°W
Location of the warning buoy = 5 miles north of the port
Required: The bearing of the warning buoy from the ship after 7.5 hours.
Solution:
The distance travelled by the ship = 7.5 hours × 10 mph = 75 miles
By cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)
Where;
a = The distance between the ship and the buoy
b = The distance between the ship and the port = 75 miles
c = The distance between the buoy and the port = 5 miles
Angle ∠A = The angle between the ship and the buoy = The bearing of the ship = 35°
Which gives;
a = √(75² + 5² - 2 × 75 × 5 × cos(35°))
By sine rule, we have;
[tex]\displaystyle \frac{a}{sin(A)} = \mathbf{ \frac{b}{sin(B)}}[/tex]
Therefore;
[tex]\displaystyle sin(B)= \frac{b \cdot sin(A)}{a}[/tex]
Which gives;
[tex]\displaystyle sin(B) = \mathbf{\frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }}[/tex]
[tex]\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx 37.32^{\circ}[/tex]
Similarly, we can get;
[tex]\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx \mathbf{ 142.68^{\circ}}[/tex]
The angle subtended by the distance of the buoy from the port, C is therefore;
C ≈ 180° - 142.68° - 35° ≈ 2.32°
By alternate interior angles, we have;
The bearing of the warning buoy as seen from the ship is therefore;
Bearing of buoy ≈ 270° + 35° + 2.32° ≈ 307.35°
Learn more about bearing in mathematics here:
https://brainly.com/question/23427938
What is the difference between the simple and compound interest if you borrow $3,000 at a 6%
interest rate for 2 years?
Answers
Compound is based on the principal amount and interest (interest on interest)
If we assume the money is compounded annually the total money owed would be
3000*1.06^2