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Ugo [173]
4 years ago
13

In an isosceles triangle, the vertex angle is 112 degrees. What is the measure of each base.

Mathematics
1 answer:
jeka944 years ago
8 0

Answer:

A

Step-by-step explanation:

The base angles of an isosceles triangle are congruent

The sum of the 3 angles in a triangle = 180°, hence

180° - 112° = 68°

base angle = \frac{68}{2} = 34°

Thus each base angle equals 34° → A




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Complete the proof to the right:
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Step-by-step explanation:

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3 years ago
One of the team is from Greece and wants to change his wages from Pounds Sterling to Euros. The exchange rate is €1 = £0.72.
DedPeter [7]
Part A: 

To determine the amount of money in Euros that the team will get, we use the original amount given, the proper dimensional analysis and the conversion factor. For this item,
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Part B:

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3 0
3 years ago
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Please show work for number 3 and 4!
svetoff [14.1K]

Answer:

Three: x = 400

Four : 9

Step-by-step explanation:

Three

a = 10*√2

2a = √(2x)                    Square both sides.

4a^2 = 2x                     Divide both sides by 2

2a^2 = x                       Put a = 10√2 into a^2

2(10√2)^2 = x               Square a

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x = 400

Four

x^(a^2) / x ^(b^2) = x^36

Substitute a + b = 4 in for b.

x^(a^2) / x^(4 - a)^2 = x^36

Subtract powers

x^(a^2 - (4 - a)^2 = x^36

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Gather like terms

x^(8a - 16) = x^36

The powers are now equal

8a - 16 = 36      

Add 16 to both sides

8a = 36 + 16

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Divide by 8

a = 6.5

Solve for b

a + b = 4

6.5 + b = 4

b = 4 - 6.5

b = - 2.5

a - b = 6.5 - (- 2.5) = 9

7 0
3 years ago
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