state if the triangles in each pair are similar, if so state how you know they are similar.
Answers
Answer:
Looking at both triangles, angle P in triangle PQR = 38 degrees. Angle N in triangle LMN = 38 degrees. Both angles are equal.
Side PQ in triangle PQR = 16
Side MN in triangle LMN = 8
Therefore,
PQ/MN = 16/8 = 2
Side PR in triangle PQR = 14
Side LN in triangle LMN = 7
Therefore,
PR/LN = 14/7 = 2
Therefore, triangle PQR is similar to
triangle LMN because
1) the length of PQ is proportional to the length of MN.
2) the length of PR is proportional to the length of LN
3) angle P = angle N
4) Therefore, QR is also proportional to ML
Therefore,
PQ/MN = PR/LN = QR/ML = 2
Step-by-step explanation:
The pair of the first two triangles are not similar triangles, while the pair of the next two triangles are similar triangles.
What are similar triangles?If the respective angles are congruent and the corresponding sides are proportional, two triangles are said to be similar. To put it another way, comparable triangles are similar in shape but not necessarily in size. In addition, the triangles are congruent if their corresponding sides are of identical length.
As it we know that for the two triangles to be similar triangles, the ratio of their corresponding sides should be the same.
A.) In the first pair of triangles,
For the first pair of triangles to be similar,
[tex]\dfrac{US}{UD}=\dfrac{UT}{UE}=\dfrac{ST}{DE}[/tex]
The above ratio should be similar, but since we can see that the ratio,
[tex]\dfrac{US}{UD}\neq \dfrac{UT}{UE}[/tex]
[tex]\dfrac{39}{16}\neq \dfrac{40}{16}[/tex]
As we can see that the ratio of the sides of the triangle is not the same therefore, the two of the given triangles are not similar triangles.
B.) In the second pair of triangles,
For the second pair of triangles to be similar,
[tex]\dfrac{AB}{HG}=\dfrac{BC}{GF}=\dfrac{CA}{FH}[/tex]
The above ratio should be similar, and as we can see that the ratio,
[tex]\dfrac{72}{12}=\dfrac{48}{8}=\dfrac{84}{14} =6[/tex]
As we can see that the ratio of the sides of the triangle is the same therefore, the two of the given triangles are similar triangles.
Learn more about Similar Triangles:
https://brainly.com/question/25882965
Related Questions
Help!! NO SPAM!!!! I will mark brainliest. A phone banking password consists of 2 letters followed by 4 digits. The letters B and X are not used, and the last digit cannot be 0. How many different passwords are possible?
Answers
In this exercise we have to use the combination knowledge to calculate the different possibilities, so we have to:
5184000 possible ways
in this way, when we deal with possibilities it is the same as talking about multiplication, so we have that:
[tex]24*24*10*10*10*9=5184000[/tex]
See more about possibilites at brainly.com/question/488013
Your bank account starts with $1550 and every month $50 is automatically deducted for the cable bill. You want to know how long, x, it would take your account to drop below $0. How many months would it take for your account to drop BELOW $0?
Answers
Step-by-step explanation:
C(x) = 1550 - 50x
With C(x) the cash you have every month (x).
Now we solve:
1550 - 50x < 0
So it becomes:
50x > 1550
x > 31
The 32nd month you'll be broke.
in baseball the home plate is shaped like the one shown it has three right angles and two other congruent angles A and B find measurement of angle a and measurement of angle B
Answers
Answer:
135
Step-by-step explanation:
the triangle is 90-45-45
the square is 90-90-90-90
where the two meet just add 45 + 90
135
find the ratio of : 800 ml to 4.8 litres
Answers
Answer:
The ratio is [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
We have
[tex]\frac{800mL}{4.8L} \\\\\frac{0.8L}{4.8L}\\\\\frac{1}{6}[/tex]
Officer Brimberry wrote 32 tickets for traffic violations last week, but only 12 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent. [The percent decrease is___%
Answers
Answer:
62.5 %
Step-by-step explanation:
you have to subtract 32-12, which equals 20
then divide 20 by the original amount (20/32)
20/32= .625, then you have to multiply to get the final answer...hope this helped!
A motorcycle can run 108km in 2h20mn Find the average speed
Answers
Answer:
do it got a picture
on the edge2020
Step-by-step explanation:
A water cooler holds 1536 ounces of water each water bottle holds 16 ounces how many water bottles can be filled from the water cooler
Answers
Answer:
96 water bottles
Step-by-step explanation:
1536/16 = 96
can someone please help me with this?!
Answers
what is 2x+3=4 [tex]mbjbjjnjnjknjn[/tex]
Answers
Answer:
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
2x + 3 = 4
subtract 3 from both sides to get x by itself on the left side:
2x = 1
divide both sides by 2:
x = [tex]\frac{1}{2}[/tex]
A= (4,-1)
B= (0,-5)
which one is right ,two answer choices.
Answers
Answer:
A
Step-by-step explanation:
A cylinder has a height of 7 centimeters and a diameter of 4 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
V = 87.92 cubic cm
Step-by-step explanation:
V(cyl) = πr²h
V = 3.14(2²)(7)
V = 87.92
The diameter of a circle is 3 miles what is the area
Answers
Answer:
[tex]2.25\pi[/tex] or [tex]7.07 mi^{2}[/tex]
Step-by-step explanation:
The formula for the area of a circle is:
[tex]\pi r^{2}=A[/tex]
Radius is half of the diameter of a circle so you will get this:
[tex]\pi (\frac{3}{2}) ^{2}\\\\\pi (1.5)^2\\\\2.25\pi \\\\7.07[/tex]
In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and g (x) = x-5/2 to determine if f(x) and g(x) are inverse of each other.
Answers
Answer:
In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and to determine if f(x) and g(x) are inverses of each other?
It is very difficult to know because you did not include the function g(x), you only gave us f(x).
Given two lists of ordered pairs [x,f(x)] and [x,g(x)]. If for every ordered pair on the f(x) list the reverse is on the g(x) list the functions are inverses.
f(0) = 5 so for (0,5) on the f(x) list then (5,0) must be on the g(x) list
f(1) = 7 so for (1,7) on the f(x) list then (7,1) must be on the g(x) list
f(2) = 9 so for (2,9) on the f(x) list then (9,2) must be on the g(x) list
So even though you didn’t list g(x), g(x) = (x/2) - 5/2
please help me with this as soon as possible
Answers
Answer:
the answer is i dont know XD
Step-by-step explanation:
So if we want to do the first one it will be
Y = 4 x (1) - 3
Y = 4 - 3
Y = 1
For the second one we got x = 6
So we do the same thing but with 6 and say
Y = 4 x (6) - 3
Y = 21
It seems confusing at first but I’m sure you’ll get the hang of it
simplify the quotient. Write the answer in sn.
Answers
Answer: 2.25 x 10 -7 -7 is the exponent
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10 If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
A set of 3 consecutive integers has a sum of 15. Which integers are they?
Answers
The answer is 4+5+6=15.Hope that helps. :)
Answer:
Step-by-step explanation:
Let the first number be x,
The second number (since it is consecutive) will be = x + 1
The third number (since it is right after the second) = (x+1) + 1 = x + 2
x + x + 1 + x + 2 = 15
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12/3 = 4
If the first number = 4,
Second number will be = 5 [(x+1) = 4+1]
Third number will be = 6 [(x+2) = 4 + 2]
The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it - IM JUST KIDDING I ACTUALLY NEED HELP THO
Answers
Therefore, we can create an equation to find the measure of angle 1, given the two other angles.
76+59+x=180. x=the measure of angle 1 (unknown).
135+x=180. [76+59=135]
135-135+x=180-135 [Isolate x by subtracting 135 from both sides]
x=45.
Therefore, the angle measure of angle 1 = 45°
The point (-1, 5) is reflected over the y-axis. Where is the location of the new image?
(-1, -5)
(5, 1)
(1, 5)
(1, -5)
Answers
X
18. MODELING WITH MATHEMATICS The inequality
3x + 2y 2 93 represents the numbers x of multiple-
choice questions and the numbers y of matching
questions you can answer correctly to receive an A on
a test. You answer 20 multiple-choice questions and
18 matching questions correctly. Do you receive an A
on the test? Explain.
Answers
Answer:
yes
Step-by-step explanation:
Put the numbers into the inequality and see if it is true.
Given x = 20, y = 18, ...
3x + 2y = 3(20) +2(18) = 60 +36 = 96 ≥ 93 . . . . true
You have met the requirements for an A on the test.
1.
Solve using traditional division: 7,925 divided by 25.
Answers
Lila planted a tree in her backyard. She made a graph to show the tree growth over 5 years.
1) What does the slope mean in real life in the context of the problem?
2) What does the y-intercept mean in real life in the context of the problem?
Answer in complete sentences.
Answers
Answer:
1. Growth rate of tree 3 ft per year, 2. Beginning height of tree 5 feet, rise/run = 3/1 = 3
Step-by-step explanation:
The solution is
1) The slope of the graph m = 3 represents the growth of the tree per year
2) The y-intercept means the initial height of the tree , when x = 0
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P = P ( 3 , 14 )
Let the second point be Q = Q ( 1 , 8 )
Now , the slope of the two points on the line is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 14 - 8 ) / ( 3 - 1 )
Slope m = 6/2
Slope m = 3
Therefore , the slope is 3 feet per year
b)
The y intercept is calculated from the equation of line , when x = 0
So , the equation of line is given as
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 14 = 3 ( x - 3 )
On simplifying the equation , we get
y - 14 = 3x - 9
Adding 14 on both sides of the equation , we get
y = 3x + 5
Now , when x = 0
y = 3 ( 0 ) + 5
y = 5 feet
From the graph we can see that , at 0 years the initial height of the tree is also 5 feet
Therefore , the y intercept is 5 feet
Hence , The slope of the equation is 3 and y intercept is 5
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ2
Select the correct answer.
Simplify the following expression.
Answers
Please help! IXL math problem
Answers
Answer:
224, 755
Step-by-step explanation:
you first have to find the differnce between 177 and 47 which equals to 133.
so you have to do 94+133
and 885-133
pls help me with math asap pls no links thx
Answers
Answer:
8
Step-by-step explanation:
Divide 192 by 24 and you'll get 8 classes per grade as the answer
Answer:
8 classes
Step-by-step explanation:
To find the minimum amount of classes, you divide 192 by 24 and you get 8 classes.
PLs help me 15 points on total
Answers
Answer:
i think its C
Step-by-step explanation:
Plz help fast I will mark Brainlyist
Answers
Answer:
-4 -2 1 the top are 2/6 -2/8
Step-by-step explanation:
I don't know if that's right but yea hope that helps
If 8 drinks cost 12 dollars how much will 12 drinks cost
Answers
Hello there for this problem we can make a proportion
[tex]\frac{8\:drinks}{12\:cost}=\frac{12\:drinks}{x}[/tex], we are trying to find how much x is
cross multiply and we get that [tex]8x=144[/tex]
divide both sides by 8 and we get [tex]x=18[/tex], 12 drinks would've cost 18 dollars
Answer:
1 drink = 12 ÷ 8
= 1.5
So 12 drink = 12 × 1.5
= 8 dollars
Find the 82nd term of the arithmetic sequence —8, 9, 26, ...
Answers
82+17 = 99
Can i get some help :
Answers
Answer:
is not equal to sign is used
please answer, click on file, thank you
Answers
Answer:
3x²
im lazy to solve right now
hope it helps
Answer:
Step-by-step explanation:
half of the circle is 180 degrees
so x + 3x = 180
4x = 180
x = 45