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Drupady [299]
3 years ago
11

POLYGONS ABCD & EFGH ARE SIMILAR. WHAT IS THE PERIMETER OF EFGH WHEN AD = 12, BC = 8, FE = 15, FG = 10, and GH = 5?

Mathematics
1 answer:
zzz [600]3 years ago
5 0
It would be helpful to draw the figures, you will see that for ABCD there 2 lacking side lengths which are AB and CD. For EFGH, there is one lacking side length which is EH. We use the ratios of the corresponding sides to determine side EH. We do as follows:

FG / BC = EH / AD
10 / 8 = EH / 12 
EH = 15

Therefore, the perimeter would be:

15+10+5+15 = 45 units
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Step-by-step explanation: process of elimination

7 0
3 years ago
Little help please? and thank you​
Aneli [31]

Answer:

45.7

Step-by-step explanation:

Hello there!

We can calculate the missing angle using trigonometry

here are the trigonometric ratios

sin = opposite over hypotenuse

cos = adjacent over hypotenuse

tan = opposite over adjacent

We are given x's opposite side length (8) and x's adjacent side length (7.8)

we are given the information to use the trigonometric ratio tangent

so now we create an equation (remember tan - opposite over tangent)

tan(x)=\frac{8}{7.8}

now we solve for x

\frac{8}{7} =1.025641026

we're left with

tan(x) =1.025641026

finally we want to get rid of the tan

To do so we take the inverse of tan (arctan^-1) and apply it to each side

arctan^-^1tan(x)=x\\arctan^-^1(1.025641026)=45.7252243

so x = 45.7252243

finally we round to the nearest tenth and get that the answer is

45.7

4 0
3 years ago
Please answer ASAP............
aleksklad [387]
D because you can’t put a negative over a exponent
7 0
3 years ago
An equation is shown below:
natka813 [3]
1. Distribute the 4 with (2x-5)
2. Then add 15 to -20
3. Isolate x by adding 5 to the other side of the equal sign
4. Finally divide by 8 on both sides

6 0
3 years ago
Read 2 more answers
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