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
A sequence is defined recursively using the formula f(n + 1) = –0.5 f(n) . If the first term of the sequence is 120, what is f(5
Svetllana [295]
7.5
f(1) = 120
f(2) = -60
f(3) = 30
f(4) = -15
f(5) = 7.5
6 0
3 years ago
Read 2 more answers
Help! explanation pls!!
My name is Ann [436]

Answer:

they are equat by alternet angle

3 0
3 years ago
un aranjament floral din 4 lalele si 3 frezii costa 36 lei iar altul compus din 5 lalele si 6 frezii este egal cu 50 de lei afla
butalik [34]

Answer:

cred că 34 îmi pare rău că nu am un român bun ;w;

Step-by-step explanation:

6 0
2 years ago
What is the solution of the system pf equations y=-4x+6 y= -5x - 4
kakasveta [241]

that's the solution of the system

6 0
3 years ago
Read 2 more answers
HELLPPPPPPPP ASAPPPPPPPP PLEASEEEEE
marin [14]

Answer:

B=fh

Step-by-step explanation:

I think?

Basically divided by b to get h over b and then times by h to get b=fh (you want to be get on its own)

4 0
3 years ago
Read 2 more answers
Other questions:
  • 6b < 24 or 4b + 12 > 4.
    15·2 answers
  • Mily was born, she weighed 8.2 pounds. Two months later she weighed 10.15 pounds. How much weight did Emily gain in two months?
    10·2 answers
  • When you solve the equation x + 1 = 2x for x, the solution is 1. 1) Square both sides of the equation, and verify that your solu
    11·1 answer
  • A store is selling a black pair of shoes for $79.45 and a brown pair of shoes for $133.99. the black pair of shoes is marked up
    13·2 answers
  • A function of the form f(x)=mc+b, where m and b are real numbers is called a ____ function ?
    15·1 answer
  • Which transformation has been applied?
    8·2 answers
  • In right triangle ABC with right angle B, the sin 48° is equal to the cosine of what angle measure?
    5·1 answer
  • Hello I need some help with my last Question pls..
    15·1 answer
  • Lol please help I'm struggling so hard I'm literally in tears (photo)​
    12·1 answer
  • Write an explicit formula for an,the Nth term of the sequence 4,12,36
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!