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
sweet [91]
3 years ago
11

Number 24 only please help me please

Mathematics
1 answer:
asambeis [7]3 years ago
4 0

Check the picture below.

the idea being, that if we run an altitude segment from a right-angle in a triangle, and parallel to the opposite side, like in thise case, we end up with 3 similar triangles, a Large one, containing the other smaller ones, a Medium and a Small.

now, let's simply use proportions for those similar triangles.

\bf \stackrel{Large}{\cfrac{12}{4+x}}=\stackrel{Small}{\cfrac{4}{12}}\implies \cfrac{12}{4+x}=\cfrac{1}{3}\implies 36=4+x\implies \boxed{32=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Small}{\cfrac{4}{y}}=\stackrel{Medium}{\cfrac{y}{x}}\implies 4x=y^2\implies 4(32)=y^2\implies 128=y^2\implies \sqrt{128}=y \\\\\\ \sqrt{64\cdot 2}=y\implies \sqrt{8^2\cdot 2}=y\implies \boxed{8\sqrt{2}=y} \\\\[-0.35em] ~\dotfill

\bf \stackrel{Large}{\cfrac{z}{4+x}}=\stackrel{Medium}{\cfrac{x}{z}}\implies z^2=(4+x)x\implies z^2=4x+x^2\implies z = \sqrt{4x+x^2} \\\\\\ z = \sqrt{4(32)+32^2}\implies z = \sqrt{128+1024}\implies z = \sqrt{1152} \\\\\\ z = \sqrt{576\cdot 2}\implies z = \sqrt{24^2\cdot 2}\implies \boxed{z = 24\sqrt{2}}

You might be interested in
AABC has been translated 5 units to the right, as shown in the diagram. What
ANEK [815]
The length of ab is D. 15
4 0
3 years ago
Tomas works as an underwater photographer. He starts at a position that is 13 feet below sea level. He rises 6 feet, then descen
dangina [55]
Think of sea level as 0 on number line

-13 + 6 - 15
6 0
3 years ago
Select the correct answer.
9966 [12]

Answer:

C

Step-by-step explanation:

Because c has the variables in the right spot and the other ones don't make scene

7 0
3 years ago
What is 8/10 divided by 1 5/6
yulyashka [42]
The answer is <span>0.43 that is what i got</span>
7 0
3 years ago
Read 2 more answers
Simplify the expression. 4(11 + 7) ÷ (7 – 5) 40 36 47 5
vodomira [7]

Answer:

36

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • What is the domain and range of y=1+1/x
    10·1 answer
  • Simplify the expression. <br> 4 + 18 ÷ 2 – 1 <br> 20 <br> 22 <br> 12 <br> 10
    5·1 answer
  • Which of the following best describes the equation below?
    10·2 answers
  • Let f(x)=4x^2+13x-12 and g(x)=x+4. Perform the function operation <br> F•g(x)<br><br> Please help!!!
    12·2 answers
  • 5x+15+4x = 6x -3 (x+9)
    11·1 answer
  • What is the answer to this question?
    11·1 answer
  • The school hiking club has completed 4 out of 5 hikes so far this year. They have hiked 4.6 miles, 3.7 miles, 5.1 miles, and 2.9
    11·2 answers
  • If Bailey had 1015 jelly beans and Andrew had 1888 then Andrew gave Bailey 88 jellybean how many does Bailey have
    12·1 answer
  • Use pic for more info
    11·1 answer
  • Ariana has a points card for a movie theater.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!