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
romanna [79]
2 years ago
7

In the diagram below, GH is parallel to DE . If GH is 3 more than EH FH=10, and DE=12 find the length of EH. Figures are not nec

essarily drawn to scale. State your answer in simplest radical form, if necessary.

Mathematics
1 answer:
steposvetlana [31]2 years ago
6 0

Answer: 5

Step-by-step explanation:

Since \overline{GH} \parallel \overline{DE}, by the corresponding angles theorem, \angle FGH \cong \angle FDE, \angle FHG \cong \angle FED. This means \triangle FGH \sim \triangle FDE by AA.

As corresponding sides of similar triangles are proportional,

\frac{10}{x+3}=\frac{10+x}{12}\\(10)(12)=(10+x)(x+3)\\120=x^{2}+13x+30\\x^{2}+13x-90=0\\(x+18)(x-5)=0\\x=-18, 5
However, as distance must be positive, we consider the positive solution, x=5.

Therefore, the answer is <u>5</u>

You might be interested in
PLEASE HELP ME I DONT KNEO HOW TO DO IT
just olya [345]

You learn more from failure than from success. Don’t let it stop you. Failure builds character.

7 0
3 years ago
Express the fractions 1/2, 3/16, and 7/8 with an LCDA.8/16 3/16 14/16B. 1/4 3/4 7/4C. 1/32 3/32 732D. 4/8 6/8 14/8
NISA [10]
The least (or lowest) common denominator of 3, 16 and 8 is 16. That already points us to answer A.

Checking for each fraction:

1/2 * 8/8 = 8/16
3/16 * 1/1 = 3/16
7/8 * 2/2 = 14/16

Yep. Answer A.
3 0
3 years ago
Two more than than 4 times a number is -18
wolverine [178]
-4..................
7 0
3 years ago
Plz, help! I don't know this ! will give brainlest!
Jlenok [28]

Answer:

its the mean for the data, its showing you the average studying time

7 0
3 years ago
A store sold 2.5 times as many footballs as basketballs last year. What is the number of footballs sold for every basketball sol
bixtya [17]

Answer:

Step-by-step explanation:

You aren't able to figure out an exact number of either footballs or basketballs because you don't have enough information for that, but you do have enough to get an expression for one in terms of the other, which I imagine is the point here.  We know that for every 1 basketball sold, we sold 2.5 footballs, so the algebraic expression for that is

1 bball = 2.5 fballs

This gives us the number of bballs in terms of fballs but we want the number of fballs in terms of bballs, so solve that expression for fballs:

1 fball = 1/2.5 bballs

or, in words, for every single football sold, 2/5 of a basketball was sold.  Sounds silly, but I think your teacher is trying to get you to figure out how to express one thing in terms of another so you can use the expressions in solving story problems.

:/

6 0
3 years ago
Other questions:
  • I really need help please
    6·1 answer
  • I need this answered soon please
    14·1 answer
  • Find m∠OLM?????????????
    9·1 answer
  • 4−6=−2−16−2<br> 4<br> k<br> -<br> 6<br> =<br> -<br> 2<br> k<br> -<br> 16<br> -<br> 2<br> for
    10·1 answer
  • WILL MARK BRAINLIEST IF CORRECT! :)
    14·1 answer
  • When adding or subtracting with scientific notation,why is it important to have the same power of 10?
    9·1 answer
  • Determine whether the triangles are similar. or not.
    11·1 answer
  • Simplify the left side of equation so it looks like the right side. cos(x) + sin(x) tan(x) = sec (x)
    13·1 answer
  • 6+12x2-18 please answer
    9·1 answer
  • Evaluate 4.68 + 2.7 + 13.289
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!