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Semmy [17]
1 year ago
9

Find the value of X:

Mathematics
1 answer:
olga55 [171]1 year ago
8 0

Answer:

x = 31 and x = 15

Step-by-step explanation:

(a)

(3x + 31) and (2x - 6) are a linear pair and sum to 180° , then

3x + 31 + 2x - 6 = 180

5x + 25 = 180 ( subtract 25 from both sides )

5x = 155 ( divide both sides by 5 )

x = 31

(b)

3x and (4x - 15) form a right angle and sum to 90° , then

3x + 4x - 15 = 90

7x - 15 = 90 ( add 15 to both sides )

7x = 105 ( divide both sides by 7 )

x = 15

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2(x -5) - 5x = -4 i need help
inysia [295]

Answer:

x = -2

Step-by-step explanation:

2(x - 5) - 5x = -4

Distrubute the 2 into the parentheses

2x - 10 - 5x = -4

Add 10

    +10           +10

2x - 5x = 6

Simplify

-3x = 6

Divide

÷ -3   ÷ -3

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3 0
3 years ago
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire f
Phoenix [80]

Answer:

51 meters

Step-by-step explanation:

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

We are to find the meters of fencing for the diagonal.

We solve the question using Pythagoras Theorem

= c² = a² + b²

Where

c = Diagonal

a = Width

b =Length

Diagonal² = Width² + Length ²

Hence:

Diagonal ² = 45² + 24²

Diagonal = √45² + 24²

Diagonal = √(2601)

Diagonal = 51 m

Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters

7 0
3 years ago
Solve the trigonometric equation such that 0 ≤ x ≤ 2????. Round to three decimal places.
raketka [301]

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Step-by-step explanation:

Given the equation √5 cos(x) − 2 = 0

To make 'x' the subject of the formula

√5cosx = 2

Cosx = 2/√5

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x = arccos 0.89

x = 0.463

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3 years ago
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hope it's clear :)
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The 199.99 game console Amy purchased was on sale for 10% off. how much did she pay?
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Answer:179.991

Step-by-step explanation:

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