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BartSMP [9]
2 years ago
10

5. A, b, c plsssssss rn

Mathematics
1 answer:
Over [174]2 years ago
5 0

5a. a° = 128°

5b. b° = 1.3°

5c. c° = 341°

<h3>How to determine the unknown sides</h3>

5a

a° = 128°

This is because parallel angles are equal and angles a° and 128° are parallel to each other

5b

Angles (4b-10)° and (2b - 2)° are equal.

This is because alternate angles are equal and they are alternate to each other

To find b , equate both angles

4b - 10 = 2b - 2

collect  like terms

4b + 2b = -2 + 10

6b = 8

Make 'b' subject of formula

b = 8/6

b = 1.3°

5c.

c° is at angle at a point.

19° is alternate to the other part of the point

We have, c° + 19° = 360° (angle at a point)

c° + 19° = 360°

Make 'c' subject of formula

c° = 360° - 19°

c° = 341°

Thus, the unknown angles are given as a = 128°, b = 1.3°, c = 341°

Learn more about interior angles here:

brainly.com/question/24839702

#SPJ1

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8 0
3 years ago
A fish tank, in the shape of a rectangular prism with dimensions 51 cm by 39 cm by 28 cm, is 95% filled with water. A solid log
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Answer:

The end answer is 669.4

Step-by-step explanation:

So you take the volume of the fish tank: 51*39*28=55692, but the tank is only 95% full, so you take 55692 and divide it by 100 and multiply it by 95, you get 52907.4. Then you calculate the volume of the log: 3.14*5^2*44=3454.

Now that we know these values, we take the volume of the water which is 52907.4 and add the volume of the log 3454 which gets you 56361.4.

Now we know the combined volume of the water and the log, we can remove the volume of the tank, which will still be holding the water that hasn't exceeded the capacity of the tank: 56361.4-55692=669.4

So then we know what has exceeded the capacity of the tank, which is how much water has spilled

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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x₍₃₎ = (-2) x (-5)³⁻¹ = (-2) x (-5)² = -50

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