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
Pie
4 years ago
14

The figures are similar. Find the area.

Mathematics
1 answer:
ioda4 years ago
8 0

Answer:

The area of triangle DEF is 101\ cm^{2}

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its heights is proportional and this ratio is called the scale factor and the ratio of its areas is equal to the scale factor squared

step 1

Find the scale factor

Let

z ----> the scale factor

z=\frac{13}{5} ----> ratio of its heights

step 2

Find the area of triangle DEF

Let

z ----> the scale factor

x ----> the area of triangle DEF

y ----> the area of triangle ABC

so

z^{2}=\frac{x}{y}

we have

z=\frac{13}{5}

y=15\ cm^{2}

substitute and solve for x

(\frac{13}{5})^{2}=\frac{x}{15}

x=(\frac{169}{25})(15)

x=101\ cm^{2}

You might be interested in
What is the measure of EG?
ella [17]
149 dergrees
83 + 66
4 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (-6,-7) and has a slope of 0?
lora16 [44]
Y=-7
When a slope is zero the line will be vertical so basically all you need to do is get the Y of your points and use that in your sub intercept equation
6 0
3 years ago
Help please! Thank you! :D❤️
MissTica
I believe it is GCF because 9v^3 can be factored out of the expression, becoming:
9v^3 (4 - 3v^2)
9v^3 (-3v^2 + 4)
The quadratic in parentheses can be solved, but with the quadratic equation or by graphing.
7 0
3 years ago
sorry if you can’t see BUT PLEASE HELP IM TIMED AND MY TEACHER IS GOIGN TO SUBMIT IT PLS ANSWER ONE BY ONE
Elan Coil [88]

Answer:

7.) a. 84 hundredths

8.) 6(.36)= 2.16 meters

9.) 9.40÷4= 2.34 meters

I cant see 10 clearly

11.) No because if you multiply 2×4 you get 8 so .814 wouldn't be reasonable

7 0
3 years ago
A bird catches a fish flies 100 yards upward in a straight line and then drops the fish the fish Atlanta at a spot that is 50 ya
labwork [276]
Cos(x) = 50/100 

part a) x= 60°
<span>part b) height is 86.60254040</span>
4 0
4 years ago
Other questions:
  • −2x+30&gt;4x+12-2x+30&gt;4x+12<br> Express the set using interval notation.
    8·1 answer
  • 7x+5x-7=21+10x
    14·2 answers
  • (4 questions, 25 points) I know it's a lot, but I really need to get this done! Thank you so much!
    10·2 answers
  • SAT scores probability 1​
    6·1 answer
  • I have done this for a million times and I always get this one wrong I need the correct answer
    9·2 answers
  • Does anyone know what this equation is? I'm pretty sure the first part is surface area
    8·1 answer
  • 4166666666.67 in scientific notation
    7·1 answer
  • If fixed costs are 30, variable costs per unit are Q + 3 and the demand function is
    12·1 answer
  • Sorry i'm the most non-smart person on the planet someone help me please! PLease show work.
    14·1 answer
  • (x+y)²<br> expresar en lenguaje normal
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!