Are the two triangles similar? How do you know?

 Are The Two Triangles Similar? How Do You Know?

Answers

Answer 1

Answer:

Yes the triangles are similar.

if you look at Angle C it's 60° and F is also 60°

60 + 67 is 127

127 + 53 is 180° which is the amount a triangle is. (assuming that E is 67°)

Answer 2

Similar triangles may or may not be congruent triangles.

The two triangles are similar.

From the figure, we have:

[tex]\mathbf{\angle F \cong \angle C = 60}[/tex] ----- Angles F and C are corresponding

[tex]\mathbf{\angle D \cong \angle G = 53}[/tex] ----- Angles D and G are corresponding

[tex]\mathbf{\angle H \cong \angle E = 67}[/tex] ----- Angles H and E are corresponding

Add the above angles.

[tex]\mathbf{Sum = 60 + 53 + 67}[/tex]

[tex]\mathbf{Sum = 180}[/tex]

The sum of the angles equal 180 degrees,

Hence. the triangles are similar triangles.

Read more about similar triangles at:

https://brainly.com/question/14926756


Related Questions

Find the length of AB.
140°/6 in
19%
AB = [ ? ]in
B
Round your answer to the nearest hundredth.

Answers

Answer: 14.66 in

Step-by-step explanation:

solve for x please thanks

Answers

Answer:

x=[tex]\frac{10}{14}[/tex]

Step-by-step explanation:

y=7x-2

2(7x-2)-4x=10

14x-4-4x=10

14x-4x=10-4

10x=14

x=[tex]\frac{10}{14}[/tex]

The person that just answered is wrong the answer is x=7/5

The students in Mr.Collin's class used a surveyor's measuring device to find the angle from their location to the top of a building. They also measured their distance from the bottom of the building. The diagram shows the angle measure and the distance. To the nearest foot, what is the height of the building?
a. 105 ft
b. 116 ft
c. 32 ft
d. 54 ft

Answers

The height of the building is approximately 105 ft.

According to the question,

We have the following information:

The angle made from their location to the building = 59°

The distance of the building from their location = 63 ft

Now, we can find the height of the building by using trigonometric function of tan.

We know that tan is equal to perpendicular/base.

In this case, perpendicular is the height of the building and base is the distance of the location from the building.

We have:

Tan 59° = Height of the building/distance of the building from the location

We know that the value of tan 59° is 1.6643.

Let's take the height of the building to be H ft.

1.6643 = H/63

H = 1.6643*63 ft

H = 104.85 ft

Now, this number can be rounded off to 105 ft.

Hence, the correct option is a.

To know more about height here

https://brainly.com/question/10726356

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Plzzzz help ASAP!!!!!!

Answers

Answer:

J+9=S

Step-by-step explanation:

Answer:

j+9=s

Step-by-step explanation:

My lil sister said she needs help with ALL of the questions..........if you help i will give you brainliest

Answers

Answer:

MONDAY: 2 hours

Tuesday: $34.65

Thursday: -54

Friday: 5 complete bags

Sorry that I did not do the question below wednesday but I still hope this helps.

Pls mark me brainliest.

express in exponential form 200×75​

Answers

Do you mean exponential form as in scientific notation or as in prime factorization.

Now matter I will do both.

As in scientific notation.

200*75

=150*100

=1.5*10000

=1.5*10^4

As in prime factorization.

200*75

=2^3*5^2*3*5^2

=2^3 * 3 * 5^4

Do the one your teacher ask for :) Hope it helps!

Determine the x-intercept and y-intercept of the line
2x - 5y = 20.
Express your answer as an ordered pair pleas
x-intercept: ( , )

y-intercept: ( , )​

Answers

Step-by-step explanation:

step 1. the x intercept is when y=0.

step 2. 2x -5(0) = 20 or x = 10.

step 3. the x intercept is (10, 0)

step 4. the y intercept is when x=0.

step 5. 2(0) - 5y = 20 or y = -4

step 6. the y intercept is (0, -4).

What is 12.70 - n + 9 + n/4?

Answers

Answer:

21.70-3/4n

Step-by-step explanation:

A bicycle helmet has a selling price of $50. The helmet is discounted 30% off the selling price. The sales tax rate is 6%. What is the total cost of the helmet?

Answers

Convert 30% to a decimal by dividing by 100 = 0.30

Multiply by the cost of the helmet, $50
50 x 0.30 = $15, the amount of the discount.

50-15 = $35, the sale price of the helmet.

For the sales tax, again, convert to a decimal by dividing by 100 = 0.06

35 x 0.06 = 2.10, the amount of sales tax

$35 + $2.10 = $37.10, total cost with tax

what is the value of -3(7+5)/ 3^2 + 9(2)

A. -6
B. -2
C. 14
D. 22​

Answers

Answer: C.

Step-by-step explanation: 14

Answer:

C. 14

Step-by-step explanation:

Simplify the expression.

-3(7 + 5) ÷ 3² + 9(2)

-3 ⋅ 12 ÷ 3² + 9(2)

-36 ÷ 3² + 9(2)

Simplify each term.

Raise  

-36 ÷ 9 + 9(2)

Divide

-4 + 9(2)

Multiply

-4 + 18

Add

14

good luck, i hope this helps :)

The chart shows the low temperature each day in International Falls, Minnesota, during the month of February 2009. What was the median low temperature in International Falls for the first week of the month?
6 -9 -29 -31 -8 4 3
anwsers
a -9
b -9
c -8
d -31

Answers

-31,-29,-9,-8,3,4,6. Median = -8. Answer is C

plsss help i have a d in this classsssssssssssssssssssssssssssssssssss

Answers

Answer:

73.5

Step-by-step explanation:

Answer:

86.64 uwu

Step-by-step explanation:

Find the slope of the line y=-6x-4. Type your answer as an integer.

Answers

Answer:

The slope is -6

Step-by-step explanation:

In the slope intercept form, it is y=mx+b, where m is the slope and b is the y-intercept

Therefore, -6 is slope and -4 is y-intercept

What is the slope of the line that passes through the points (10,8) and (-15,18) wrote the answer in simplest form

Answers

Answer:

-2/5

Step-by-step explanation:

Simplify: (9a* - 5a'-1)+7a*

Answers

Answer:

The answer is -2a because first you multiple the number and eliminate redundant perenthese then last combine like terms and that how you get -2a



Find the Surface Area of the following figure:
16 ft
10 ft
7 ft

Answers

Answer:

1120

Step-by-step explanation:

Help me plsssss!!!!!!!!

Answers

Answer:

use math -way it helps a lot

Step-by-step explanation:

which relation represents a function ​

Answers

Neither because neither of them have a consistent rate of change

Tom takes two walks every day, one in the morning and one in the evening, and walks for a total of 5 ¼ hours in a 7-day week If he walks for 15 minutes each morning, how many minutes does he walk for each evening?
Write an equation to represent this problem and then solve it. Show all your steps.

Answers

Answer:

30 minutes each evening

Step-by-step explanation:

5.25 / 7 = 0.75 hours each day = 45 minutes

45 - 15  = 30 minutes

What is the slope of a line parallel to the line with equation 2x+4y=8

Answers

Answer:

m = [tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

To find the slope of most lines, we should rearrange the equation into the slope-intercept form or y = mx + b.

So,

2x + 4y = 8

4y = -2x + 8

[tex]y=\frac{-2x +8}{4}[/tex]

[tex]y=\frac{-2}{4}x+\frac{8}{4}[/tex]

[tex]y=\frac{-1}{2}x+2[/tex]

The slope is the coefficient of the x term, so

m = [tex]\frac{-1}{2}[/tex]

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

2x+4y=8

4y = -2x +8

y = [tex]-\frac{2}{4}[/tex]x + [tex]\frac{8}{4}[/tex]

y = [tex]-\frac{1}{2}[/tex]x + 2

y=mx+b so the slope is m=[tex]-\frac{1}{2}[/tex].  

parallel lines have the same slope.

find the value of y

Answers

Answer:

Step-by-step explanation:

[tex]sin90/10=sin45/y\\ \\ y=10sin45\\ \\ y=5\sqrt{2}[/tex]

Answer:

The answer is

[tex]5 \sqrt{2} [/tex]

Step-by-step explanation:

By using Pythagoras

Then

[tex] {y}^{2} + {y}^{2} = {10}^{2} \\ 2 {y}^{2} = 100 \\ {y}^{2} = 50 \\ y = \sqrt{50} = \sqrt{2 \times 25} = 5 \sqrt{2} [/tex]

Solve the equations
3a + b = 10 and 2a + 4b =0.
3a + b = 10
2a + 4b=0​

Answers

Answer:

a = 4 , b = -2

Step-by-step explanation:

3a + b = 10

2a + 4b = 0

(By using elimination method, eliminate one variable) - to get only one equation

(3a + b = 10 ) 4

2a + 4b = 0

12a + 4b = 40

(minus)

2a + 4b = 0

10a = 40

a = 40/10

a = 4

(substitute a into an equation to get b)

2a + 4b = 0

2(4) + 4b = 0

4b = 0 - 8

b = -8/4

b = -2


3 pencils cost $0.45. What is the cost per pencil?

Answers

Answer:

0.15

Step-by-step explanation:

What is the slope of the line
help me plz ​

Answers

Answer: 2/3

Step-by-step explanation:

y=mx+b

Answer:

2/3

Step-by-step explanation:

the equation is in y=mx+b form and m=slope so 2/3 would be the slope.

hope this helped :)

To get into an amusement park, people have to pay an entrance fee. Then they pay additional amount for each ride
(every ride costs same amount of money). John rode 8 rides and spent a total of $32 (including the entrance fee). Michael
rode 11 rides and paid $41. How much was the entrance fee and the cost of each ride?

Answers

Answer:

entrance fee: $8

cost of each ride: $3

What does the graph of a geometric sequence look like?

Answers

here is one I hope this helps lol I'll follow u if u follow me

A hollow cylinder has solid hemisphere in one end and on the other end it is closed with a flat circular plate. The height of water is 10cm when flat circular surface is downward. Find the level of the water, when it inverted upside down, common diameter is 7cm and height of the cylinder is 20 CM.​

Answers

Answer:

this will be the correct answer

An isosceles triangle has a base of 44 inches and an altitude of 58 inches. What is the length of each leg?

Answers

Answer:

hello! although i am not really knowlegeble about this subject,  i hope the lengths below can help you solve the problem :)

Step-by-step explanation:

side length: 62.03inches

perimeter: 168.06

area:1276

if this does help you, a brainliest would be appreciated!

HELP PLS I GIVE BRAINLIEST

Answers

Answer:

1. $200

2. $65

3. $70

Step-by-step explanation:

1. 4x50=200

2. 200-135= 65

3. 135-65= 70

A snail travels at an average speed of 0.1 feet per hour for 15 minutes. How many feet will the snail travel?

Answers

Answer:

1.5 Feet

Step-by-step explanation:

15 x .1 = 1.5

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