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
aivan3 [116]
3 years ago
6

What is x in the similar triangles? Please help:)

Mathematics
1 answer:
topjm [15]3 years ago
5 0

Answer:

x = 18

Step-by-step explanation:

Since both right triangles are similar, therefore:

\frac{2x - 6}{20} = \frac{39}{x + 8}

Cross multiply

(2x - 6)(x + 8) = 39*20

2x(x + 8) -6(x + 8) = 780

2x^2 + 16x - 6x - 48 = 780

2x^2 + 10x - 48 = 780

Subtract 780 from both sides

2x^2 + 10x - 48 - 780 = 0

2x^2 + 10x - 828 = 0

2x^2 + 46x - 36x - 828 = 0

2x(x + 23) - 36(x + 23) = 0

(x + 23)(2x - 36) = 0

x + 23 = 0

x = -23

Or

2x - 36 = 0

2x = 36

x = 18

You might be interested in
Which of the rectangles below have an area of 18 cm²?
Elenna [48]

\textsf{Rectangle A}

\implies \mathsf {Area = 3 \times 6 = 18cm^{2}}

\implies \bf {Yes}

\textsf {Rectangle B}

\implies \mathsf {Area = 2 \times 9 = 18cm^{2}}

\implies \bf {Yes}

\textsf {Rectangle C}

\implies \mathsf {Area = 5 \times 4 = 20cm^{2}}

\textsf {Rectangle D}

\implies \mathsf {Area = 9 \times 2 = 18cm^{2}}

\implies \bf {Yes}

5 0
2 years ago
Read 2 more answers
So is 80 kilometers bigger than 1000 meters
Sergeu [11.5K]
80 kilometers is equal to 80,000 meters. This is greater than 1000 meters.
3 0
3 years ago
Read 2 more answers
Guys I am going to run out of points. Help with 19?<br> I don't need an explanation.
nasty-shy [4]

Answer:

A.) 20x + 2y = 500

B.) y-intercept = 250; its meaning is how many boxes of pencils they started with.

C.) x-intercept = 25; How many T-shirts they can sell at most

Step-by-step explanation:

2y - 500 = -20x

20x + 2y - 500 = 0

20x + 2y = 500

y-intercept = 250; its meaning is how many boxes of pencils they started with.

20x + 2y = 500

20(0) + 2y = 500

2y = 500

2y/2 = 500/2

y = 250

x-intercept = 25; How many T-shirts they can sell at most

20x + 2y = 500

20x + 2(0) = 500

20x = 500

20x/20 = 500/20

x = 25

4 0
3 years ago
When two numbers are not equal, an ___ is a sentence that uses the symbols &gt;, &lt;, ≥, ≤, or ≠ to show a relationship.
alukav5142 [94]

Answer:

Inequality

Step-by-step explanation:

Inequality is show a comparison between the two quantities which are unequal.

It can be represented:

≤  ⇒  less than or equal to

< ⇒ less than

≠ ⇒ not equal to

> ⇒ greater than

≥ greater than or equal to

<u><em>Kavinsky</em></u>

5 0
2 years ago
Please help i have an assignment due TODAY i need to get this done
wel

Answer:

r = 50 degrees.

Step-by-step explanation:

r = 50 degrees ( vertical angles are congruent).

3 0
2 years ago
Read 2 more answers
Other questions:
  • A box contains 146 marbles which are either red or blue. there are 28 more blue marbles than red marbles. how many blue marbles
    8·1 answer
  • Simplify PLEASE SHOW WORK!!
    12·1 answer
  • Is 3 years greater than 30 months
    5·2 answers
  • Earnie borrowed 3,000 from the bank. The interest is $4 for every 100 he borrowed. How much money must Ernie repay the bank for
    9·1 answer
  • Plz help its a test<br><br> It will help a lot
    6·1 answer
  • What are the solutions of 3x2 + 14x + 16 = 0?<br><br> x = , –2<br> x = –2, <br> x = , 2<br> x = , 2
    7·2 answers
  • Please help me thank you.
    15·2 answers
  • Mrs. Murphy earns a 3.5% commission at her job in retail. How much does she need to sell in order to earn $630
    10·2 answers
  • What is the total area of the shape shown? All units are in feet
    13·2 answers
  • Share 4000 in a ratio 3:4:1​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!