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3 years ago

Answer correctly please !!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

valina [46]3 years ago

8 0

Answer:

74º

Step-by-step explanation:

Ray TV bisects ∠RTS, so ∠RTV=∠STV=(16x-6)º
We also know that ∠RTS=(26x+18)º
So, (16x-6)º+(16x-6)º=(26x+18)º
We don't need parenthesis, 16x-6+16x-6=26x+18
Combine like terms, 32x-12=26x+18
Add, 32x=26x+30
Subtract, 6x=30
Divide, x=5
∠RTV now is [16(5)-6]º=(80-6)º=74º

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Answer:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

Step-by-step explanation:

Given

Represent the rate of the first mechanic with x and the second with y.

So, we have:

$x + y = 160$

The total earnings is: $1850, so we have:

$5x + 15y = 1850$

Required

Determine the rate of each

The equations are:

$x + y = 160$ --- (1)

$5x + 15y = 1850$ --- (2)

Divide (2) through by 5

$x + 3y = 370$ --- (3)

Subtract (1) from (3)

$x - x + 3y - y = 370 - 160$

$2y = 210$

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$y = \frac{210}{2}$

$y = 105$

Substitute 105 for y in (1)

$x + y = 160$

Make x the subject

$x = 160 - y$

Substitute 105 for y

$x = 160 - 105$

$x = 55$

Hence:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

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Answer:

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3 years ago

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To learn more about probability, please check: brainly.com/question/13234031

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