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
nekit [7.7K]
3 years ago
9

Triangle ABC and Triangle DEF are similar. For triangle ABC, AB = 2x , AC = 24 inches and BC = 20. For triangle DEF, EF = 5 and

DF = x - 2 . What is the value of x?
Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0
X=8.

Following the similarity statement, we know that AC is to DF as BC is to EF.  The ratio would be:

24/(x-2) = 20/5

Cross multiply:
24*5 = 20(x-2)

Use the distributive property:
120 = 20x - 40

Add 40 to both sides:
120+40 = 20x - 40 + 40
160 = 20x

Divide both sides by 20:
160/20 = 20x/20
8 = x
You might be interested in
What does this add to 3/11 x 3 1/4
Nuetrik [128]

Answer:

0.

Step-by-step explanation:

8 0
2 years ago
Which of the following have exactly one solution
Vanyuwa [196]
The answer is c 6+15x+15x
8 0
2 years ago
Read 2 more answers
Last month, a car dealership sold 80 cars. Of all the cars sold, 15% of them were red. How many cars that were sold were red?
horsena [70]

Answer:

12 red cars

Step-by-step explanation:

15% is 0.15

So, you do 80 × 0.15, which is 12.

8 0
3 years ago
FIND THE VOLUME OF THE TRIANGULAR PRISM<br> height=6cm<br> side=7cm<br> length=10cm
Dima020 [189]

Answer:

210cm^3

Step-by-step explanation:

Given the triangular prism with:

  • Height of the Triangle =6cm
  • Base of the Triangle =7cm
  • Length of the Prism =10cm

Volume of a Prism= Base Area X Length of the Prism

=\frac{1}{2}X6X7X10\\ =210cm^3

The volume is 210 cubic centimeter.

6 0
3 years ago
Read 2 more answers
What is 5 and 2/3 as an improper fraction?
OLga [1]

Answer:

17/3

Step-by-step explanation:

You would need to convert 5 into a fraction with the denominator 3, so 5 = 15/3. 15/3 + 2/3 = 17/3

4 0
3 years ago
Other questions:
  • 3x + y = 17<br> 4x - y = 18
    13·2 answers
  • Factor 1/2 out of 1/2x + 3/2
    11·1 answer
  • 2 1/2 cases of soda to split between 5 families
    11·1 answer
  • 4. The hypotenuse of a 30°- 60°- 90° right triangle measures 22 cm. What are the lengths of the longer leg and shorter leg? 4. T
    6·1 answer
  • What is an equation of the line that passes through the points (3, 4) and (-4, -3)? Put your answer in fully reduced form.​
    10·1 answer
  • Please solve this question
    12·2 answers
  • Which triangle is congruent to KLM?​
    15·2 answers
  • (04.05)Marisa painted 1 of her bedroom in 3 of an hour. At this rate, how long would it take her to paint the entire room?
    6·1 answer
  • Bubbles the fish is 4 feet below sea level. Swimmy the fish is 3 feet below sea
    11·1 answer
  • Use the equation y = 7x to complete the table. What are the missing values of
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!