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
Serggg [28]
3 years ago
8

Find the exact value of x

Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0

ΔABC and ΔCBD are similar. Therefore we have the proportion:

\dfrac{AB}{BC}=\dfrac{BC}{BD}\\\\AB=6;\ BC=x;\ BD=2

Substitute:

\dfrac{6}{x}=\dfrac{x}{2}    <em>cross multiply</em>

(x)(x)=(6)(2)\\\\x^2=12\to x=\sqrt{12}\\\\x=\sqrt{4\cdot3}\\\\x=\sqrt4\cdot\sqrt3\\\\\boxed{x=2\sqrt3}

You might be interested in
A piece of space junk travels 5 miles in 8 seconds. How far does it travel per second?
Mrrafil [7]

Answer:

1.6 Miles

Step-by-step explanation:

A piece of space junk would travel 1.6 miles per second.

--Divide--

8 ÷ 5 = 1.6

7 0
3 years ago
(6-d)(d^2-5+3D) please help me answer this hahaha
levacccp [35]
If you're simplifying the equation your answer is going to become -d^3 +3d^2 +23d -30

3 0
3 years ago
Please Help 7th grade math
Allisa [31]

The signs of the numbers in the problem matter because if a number is negative in the equation than you're answer could be negative.  ex. -3/9= -3   but if the negative sign wasn't there than the answer would be wrong bc the answer would be positive.



hope thats what you need hope it helps.

6 0
3 years ago
Bernard solved the equation 5x+(-4)=6x+4 using algebra tiles. Which explains why Bernard added 5 negative x-tiles to both sides
densk [106]
A) He wanted to create zero pairs on the left side of the equation to get a positive coefficient of x on the right side
7 0
3 years ago
Read 2 more answers
−6y=4,3x-18y=43x−18y=4 has no solution. Change one constant or coefficient to make a new system with an infinite number of solut
Lelu [443]

Answer: the anwer is =46.76

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • A person who is 5.8 feet tall is standing in a pool. The top of the person's head is 1.6 feet above the surface of the water. Ho
    13·1 answer
  • The claim is that the proportion of peas with yellow pods is equal to 0.25​ (or 25%). The sample statistics from one experiment
    7·1 answer
  • What is the answer to <br> 2(6d+3)=18-3(16-3d)
    10·2 answers
  • Amalia has the flu, a communicable disease that causes a cough and a runny nose. Which best describes how she likely got
    13·2 answers
  • Solve the algebraic expressions y+4 if y =3.6
    8·2 answers
  • By what percent will the fraction change if its numerator is increased by 25% and its denominator is increased by 20%
    14·1 answer
  • 1. You get a student loan from the New Mexico Educational Assistance Foundation to pay for your educational expenses this year.
    7·1 answer
  • Okay yes I know it's messy it was a long stressful day lol so just check the last two, are they written right? are they even rig
    12·2 answers
  • Which expression is equivalent to 4(3+5) - 3 ⋅ 92?
    11·2 answers
  • The graph shows which equation?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!