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
hammer [34]
3 years ago
7

The triangles are similar by the AA Similarity Postulate. Find the value of x.

Mathematics
2 answers:
Vitek1552 [10]3 years ago
5 0
If the triangles are similar, then the sides are proportionate and the bases are as well.  Set up the proportion like this, with side lengths on top and base lengths on bottom: \frac{4}{5}= \frac{12}{x}.  Cross multiply to get 4x = 60.  That means that x = 20.
SashulF [63]3 years ago
3 0

Answer:

A. 15

Step-by-step explanation:

We have been given that the triangles are similar by AA similarity postulate.

Since we know that corresponding sides of similar triangles are always proportional. Let us set proportions of corresponding sides equal to find the value of x.  

\frac{4}{4+8} =\frac{5}{x}    

\frac{4}{12} =\frac{5}{x}

Upon cross multiplying our equation we will get,

4x =12\cdot 5

x=\frac{12\cdot 5}{4}

x=3\cdot 5

x=15

Therefore, the value of x will be 15 and option A is the correct choice.

You might be interested in
An isosceles triangle two sides equal is placed on top of the square as shown in the picture if the two equal sides are 22 ft lo
zmey [24]

Answer:

what we have to find , please complete the question

6 0
3 years ago
1.
GREYUIT [131]
People who picked up vanilla cupcakes = 80% x 53 

<u> 80% x 53  = 0.8 x 53 = 42 people </u>(nearest whole number)

42 people picked vanilla cupcakes


Volume of a sphere = 4/3πr³

<u>4/3πr³ = 4/3π(7)³ = 1436.8 cm³</u>

The volume of the sphere is 1436.8 cm³
3 0
3 years ago
Read 2 more answers
Find the equation for the inverse of the relation <br> Y=2x+1
Naddik [55]
I thank the answer is 4

8 0
3 years ago
Sigmund wrote four checks last month, and these were the only transactions for his checking account. According to his check regi
Lady bird [3.3K]

Answer:

The Check that hasn't been cleared yet is for $372.15.

Step-by-step explanation:

168.48+ 168.93+ 177.78+ 177.93= 693.12

887.79- 693.12= 194.67

1,065.27- 887.79= 177.48

194.67+ 177.48= 372.15

To check your answer:

372.15+ 693.12= 1,065.27

Hope this helped you!! (:

7 0
3 years ago
Read 2 more answers
543x​=244x​+255x​
RUDIKE [14]

Answer:

The answer is x = 0

8 0
3 years ago
Other questions:
  • If isme estimated that there are 50 students in the seventh grade class but there are actually 40 what is isme’s percent error?
    14·1 answer
  • Helpppppppppppppppppp
    14·2 answers
  • What is the period of the parent cosine function, y = cos(x)?
    11·2 answers
  • The circumference of circle P is 800 MM, the circumference of circle Q has 200 CM, and the circumference of circle R is 4 M. Wha
    12·1 answer
  • Which triangle is similar to pqr
    8·2 answers
  • If the pattern below follows the rule "Starting with five, every consecutive line has a number one more than the previous line,"
    13·1 answer
  • I am this number riddle i'm a odd number i am less than 100.the sum of my digits is 12.i am a multiple of 15.what number am i?
    15·1 answer
  • Im just lonely please drop ur social medias
    13·2 answers
  • Find the measure of angle a.
    11·1 answer
  • Beatrice has at least one quarter, one dime, one nickel, and one penny. She has exactly 13 coins total. Beatrice also has a tota
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!