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Mathematics

2 answers:

Andrei [34K]3 years ago

4 0

Man you gonna need to ask the teacher on dis one

belka [17]3 years ago

4 0

X =12

Step-by-step explanation:

Supplementary Angels means the angles are added up to 180 degrees.

So , <1 + <2 = 180

Given that,

<1 = 2x +6

Now lets find the size of <2.

We know that, 

Angles in a Straight line is also added up to 180 degrees.

So, 

<2+ < 3 = 180

Let's Solve.

 $< 2 + < 3 = 180 \\ < 2 +( 3x - 6) = 180 \\ < 2 = 180 - (3x - 6) \\ < 2 = 180 - 3x + 6 \\ < 2 = 186 - 3x$ 

Now we know the size of <2

lets find out the value of x

 $< 1 + < 2 = 180 \\ 2x + 6 + 186 - 3x = 180 \\ 186 + 6 - 180 = 3x - 2x \\ 12 = x$ 

Let's check whether the answer is correct.

We know that <1 =<3 (Alternative Angles)

$< 1 = < 3 \\ 2x + 6 = 3x - 6 \\ 2 \times 12 + 6 = 3 \times 12 - 6 \\ 24 + 6 = 36 - 6 \\ 30 = 30$

<h3>Answer is Correct !!!</h3>

<h2>Hope this helps you...</h2>

Have a nice day

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Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they

inysia [295]

You have two unknown rates, so we need to develop two equations to solve for these unknowns (based on the information given on the problem statement):

5x + 10y = 725
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By substitution, we get:

5x + 10(100 - x) = 725
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x = -275/-5 = 55

100 - 55 = 45

Thus:
The mechanic who worked for 5 hours charged his time at $55/hr, and the mechanic who worked for 10 hours charged his time at $45/hr.

To verify, plug and chug the results back into the original equations:

5(55) + 10(45) = 725
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725 = 725 [OK]

55 + 45 = 100 [OK]

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