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Vanyuwa [196]
3 years ago
9

What is the m Show work

Mathematics
1 answer:
Ghella [55]3 years ago
8 0

Answer:

measure of angle A is 80 degree.

Step-by-step explanation:

isosceles triangle will have same base angles

first base angle is 50, and the second will also be 50

3 angles of a triangle will add up to be 180 degree.

A is the vertex angle.

So 50 + 50 + A = 180

100 + A = 180

A = 80.

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Step-by-step explanation:

Pythagoras' theorem for the smallest one :

c^2 = 4^2 + 6^2

c^2 = 16 + 36

c^{2} = 52

Pythagoras' theorem for the middle one :

b^{2} = 6^{2} + a^{2}

Pythagoras' theorem for the biggest one :

(4+a)^2 = c^2 + b^2

16 + 8a + a^2 = 52 + b^2

Using the formula before (for b^2) it becomes :

16 + 8a + a^2 = 52 + (6^2 + a^2)

16 + 8a + a^2 = 52 + 6^2 + a^2

16 + 8a = 52 + 6^2

16 + 8a = 52 + 36

16+8a = 88

8a = 88-16

8a = 72

a = \frac{72}{8}

a = 9

Verifying :

b^2 = 6^2 + a^2

b^2 = 36 + 81

b^2 = 117

b^{2} = 117

The biggest one :

(4+a)^2 = c^2 + b^2

(4+9)^2 = 52 + 117

13^2 = 169

True

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3 years ago
Which of the following is the surface area of the right cylinder below?
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D

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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