The area of a shape is the amount of space it can occupy.
<em>The surface area of the larger prism is 4 times the surface area of the smaller prism.
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<em>Let the dimension of one side of the smaller prism be: l and w</em>
<em>Let the dimension of one side of the bigger prism be: L and W</em>
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So, we have:
The area of these corresponding sides are:
---- the first
While, the area of the second is:
The ratio of these two sides are:
<em>This gives</em>
Cancel out common terms
Express as fractions
Also, we have:
This gives
Cross multiply
Hence, option (c) is true
Read more about areas at:
brainly.com/question/6465134
Answer:
its 10
Step-by-step explanation:
You have to put them from least to most and see the middle number.
M4 and m2 are equivalent
M2 and m3 are supplementary angles which mean they add up to 180°
M2+m3=180
Plug in the equation
3x+74+2x+11=180
Add up the x’s 3x+2x=5x
Add the constants on the left side
74+11=85
You get 5x+85=180
Subtract 85 from both sides
5x=95
Divide by 5
X=19
Now plug x into the m3 equation and get
2*19+11=49°
Because m4=m3, m4=49°
M3 and m1 are equivalent so set both equations equal to each other and solve bringing the same variables on each side
11x-9=7x+23
11x-7x=23+9
4x=32
X=8
Now plug x into either equation and you get
M3=79°