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
A developer has 7 1/2 acres of land to build houses on. If each house is to be built on a 1/4 acre plot, how many can he build?
schepotkina [342]
The developer can build 30 houses.
7 0
3 years ago
Read 2 more answers
What’s the cube root of -9
Aneli [31]
It might be -3 because 3•-3 is -9?
7 0
3 years ago
PLSS HELP ASAP!! WILL GIVE YOU BRAINLYEST!!
Sholpan [36]

Answer:

5/9

Step-by-step explanation:

Experimental was what actually happened.

Theoretical was what should happen in a perfect, equal world.

E: 6/6 = 1

T: 4/9

E-T= 1-4/9=5/9

3 0
3 years ago
How many times more respondents chose sliver than red
PilotLPTM [1.2K]
Is there a chart because there is no reference..
5 0
4 years ago
Can someone please help
Gala2k [10]

Answer:

\sqrt{160}

Step-by-step explanation:

Te equation of line is:

y = 3x + 12

Plug x = 0 in the above equation of line, we find:

y = 3*0 + 12

y = 0 + 12

y = 12

y-intercept = (0, 12)

Plug y = 0 in the equation y = 3x + 12

0 = 3x + 12

-3x = 12

x = 12/(-3)

x = - 4

x-intercept = (-4, 0)

Distance between x-intercept and y--intercept

=  \sqrt{ {( - 4 - 0)}^{2} +  {(0 - 12)}^{2}  }  \\  \\  =  \sqrt{ {( - 4 )}^{2} +  {(- 12)}^{2}  }  \\  \\  =  \sqrt{16 + 144}  \\  \\  =  \sqrt{160}

8 0
3 years ago
Other questions:
  • Theresa and her brother, Ruben, are getting phones that each have 32 gigabytes of storage. How many bits of storage come with ea
    14·2 answers
  • Arnold made the following grades on his quizzes and assignments: 80, 92, 88, 90, 75, 38, 92, 95 2. Arnold wants to present his s
    11·1 answer
  • A youth soccer field is a rectangle 110 yards long and 60 yards wide. A professional soccer field is a rectangular 110 yards lon
    14·1 answer
  • What is k(3) for the function k(n) = 4n to the 2 power?<br> A. 36 <br> B. 24<br> C. 10 <br> D. 49
    7·1 answer
  • Which is greater -31 3/7 or 31.1
    5·2 answers
  • What is the domain for y=2x
    7·1 answer
  • Which situation is most likely to have a constant rate of change?
    7·1 answer
  • An insect egg can be as small as two hundredths of a millimeter long. What is this number written as a decimal? The decimal numb
    5·1 answer
  • Please help ASAP! Willing to give brainliest if correct!
    14·1 answer
  • 12) Anna is putting a ribbon around a
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!