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MatroZZZ [7]
3 years ago
9

Solve for x in the diagram.

Mathematics
2 answers:
BARSIC [14]3 years ago
8 0

Answer:

x = 20

Step-by-step explanation:

x° + 2x° + (x+10)° = 90°

3x° + x° + 10° = 90°

4x° + 10° = 90°

4x° = 90°-10°

4x° = 80°

x = 80/4

x = 20

olga nikolaevna [1]3 years ago
4 0

Answer:

20°

Step-by-step explanation:

The sum of all three angles combined is 90°.  You can see this by the square at the corner.  This means that you have to add all of the angles together and set it equal to 90° to solve for x.

x° + 2x° + (x + 10)° = 90°

3x° + (x + 10)° = 90°

4x° + 10° = 90°

4x° = 80°

x = 20°

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A person places $290 in an investment account earning an annual rate of 2.2%, compounded continuously. Using the formula V = Pe^
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Answer:

<h2> $430.90</h2>

Step-by-step explanation:

Given that the principal p= $290

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time t= 18years

by applying the expression

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We have

V = 290e^{0.022*18}\\\\V=290e^{0.396}\\\\V=290*1.48586931755\\\\V=$430.90

Hence after 18years the money in the account will be $430.90

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3 years ago
Four interior angles of a pentagon measure 156 degrees 72 degrees 98 degrees and 87 degrees. What is the measure of the final in
zepelin [54]

Answer:

127°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180°(n - 2) ← n is the number of sides

here n = 5 ( Pentagon), hence

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To find the fifth angle subtract the sum of the 4 given angles from 540

angle = 540° - (156 + 72 + 98 + 87) = 540° - 413° = 127°


6 0
4 years ago
A horse had 4 1/5 scoops of oats in his bucket. He ate 2 1/2 scoops of oats. How much scoops of oats are left in his bucket? Ent
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Step-by-step explanation:

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8 0
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Write a proof for the following
anastassius [24]

Answer:

What will help is labeling the diagram with the given info..A proof always ends with the statement you have to prove.

Step-by-step explanation:

STATEMENT..............REASON

1) ∠F≅∠C             1) Given

2) E is the midpoint of GD     2) Given

3) GE≅ED       3) If a point is a midpoint then 2 ≅ segments are formed

4) FE≅EC        4)   Same as 3

5)∠G≅∠D     5)  

6) FG≅CD       6)

I tried my best with step 5 and 6..but you know step 6 has to be the prove statement but i don't know what the reason would be. I hope i helped a bit though.

4 0
4 years ago
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