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Ierofanga [76]
2 years ago
14

I need to solve for x

Mathematics
1 answer:
Andrei [34K]2 years ago
7 0

Answer:

x = 10

Step-by-step explanation:

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. The two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles.

In the given problem, the exterior angle is < JUV, and its corresponding remote interior angles are < V and < W.

Establish the following equation according to the exterior angle theorem:

< V + < W = < JUV

88° + (5x + 1)°  = (14x - 1)°

Solve for x algebraically:

88° + 5x + 1  = 14x - 1

89 + 5x = 14x - 1

89 + 1 + 5x = 14x - 1 + 1

90 +  5x = 14x

90 + 5x - 5x = 14x - 5x

90 = 9x

90/9 = 9x/9

10 = x

Therefore, the value of x = 10.

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vova2212 [387]

Answer:

2.5 hours

Step-by-step explanation:

We are given that

Original height of candle=5 in

Every hour candle loses =8% of 5 in=0.4

According to question

5-0.4x>4

Subtract 4 from both sides we get

5-4-0.4x>0

1-0.4x>0

-0.4x>-1

0.4x

Divide by 0.4 on both sides

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x=2.5 hours

Until the candle has been burning for at least 2.5 hours, the height of her candle will be more than four inches.

8 0
3 years ago
Complete the square for the expression. Also, identify the resulting expression as a binomial squared.
lakkis [162]

Answer:

20x?

Step-by-step explanation:

4 0
3 years ago
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Sam earns $54 275 in a year.
weqwewe [10]

Answer:

he would pay $8,293.5 in income tax.

b:

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5 0
3 years ago
Have a test tomorrow, need help with question! Thank you :-)
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If 1/4x - 1/4 = 2 then 2 + 1/4 = 1/4x.
so 3/4 = 1/4x
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8 0
3 years ago
Solve for y<br> 2(3 + 3y) + y = 11
garik1379 [7]
<h2><u>EQUATION</u></h2><h3>Exercise</h3>

2(3 + 3y) + y = 11

First, apply the distributive property:

2(3 + 3y) + y = 11

6 + 6y + y = 11

6 + 7y = 11

Substract 6 from both sides:

6 - 6 + 7y = 11 - 6

7y = 5

Divide both sides by 7:

\dfrac{7y}{7} = \dfrac{5}{7}

\boxed{y = \dfrac{5}{7}}

<h3><u>Answer</u>. The value of y = 5/7.</h3>

8 0
3 years ago
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