1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stealth61 [152]
3 years ago
8

Angle FEG is similar to triangle IHJ. Find the value of X.

Mathematics
1 answer:
Oliga [24]3 years ago
5 0

Answer:

x = 14.8

Step-by-step explanation:

As these triangles are similar, every side and angle corresponds and this is key to calculating this equation.

First, look at the side that is labeled x + 8 and find the corresponding side on the other triangle. Write this out as a fraction as shown below. Now find two corresponding sides that are both marked (the base lines) and write them out as a fraction as well (note that which ever triangle you are solving for, it's numbers will go on the top of the fraction)

\frac{x + 8}{36} = \frac{38}{60}

We want to get the x by its self and at the moment it is divided by 36. To remove the 36, we need to multiply both sides of the equation by 36

36 x \frac{x + 8}{36} = \frac{38}{60} x 36

This cancels out both the 36s on the left leaving us with

x + 8 = \frac{38}{60} x 36

all that needs to happen now is to remove the +8 so we are just left with x. to do this, just subtract 8 from both sides and we are left with

x = \frac{38}{60} x 36 - 8

calculate 38 ÷ 60 x 36 - 8 = 14.8

∴ x = 14.8

I hope this was helpful and not too long :-)

You might be interested in
1. Given a right circular conea) What is the shape of a cross section parallel to the base of the cone?b) what is the shape of a
AlekseyPX

Given:

There are given the statement, shape of the cross-section that is parallel to the base of the cone.

Explanation:

If the base of the cone that parallels to tye cross-section.

So,

The shape of the cross-section is

8 0
9 months ago
Adding and Subtracting Decimals
Alex17521 [72]

Answer: 14.353 or 18.647

Step-by-step explanation:

Hi.

Subtracting:

16.5 - 2.147 = 14.353

Adding:

16.5 + 2.147 = 18.647

5 0
2 years ago
If h(x) = 5 x and k(x)=1/x, which expression is equivalent to (koh)(x)?
Anestetic [448]
(k\circ h)(x)=k(h(x))

\displaystyle k(h(x))= \frac{1}{h(x)}=  \frac{1}{5x}
6 0
3 years ago
Read 2 more answers
An exterior angle of a triangle is 180 degrees.
Lilit [14]
180 degrees of the triage
5 0
2 years ago
Determine the derivative of y=x^2+xy
ratelena [41]
Hey I just started this test to that's funny lol
7 0
3 years ago
Other questions:
  • Find the solution of the systems of equations x=8+y and x-11y= -12
    14·1 answer
  • Whats 2489534+32480923 solve.
    14·2 answers
  • A right triangle has a height of 20 centimeters and a base of 10 centimeters. What is the area of the triangle?
    11·2 answers
  • Help me plzzzzzzzzzzzz
    11·1 answer
  • 2x+3 ft <br>2x+3 ft <br>polynomial expression<br>​
    6·1 answer
  • How many times can 18 go into 357
    7·2 answers
  • Gary used 5,701 brick to build a building round the number of bricks to the nearest thousand​
    12·1 answer
  • Show me a number line
    6·2 answers
  • Identify the percent of change as an increase or decrease. Then find the percent of
    15·1 answer
  • What line plot are true?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!