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kramer
3 years ago
10

Find the value of the variables

Mathematics
1 answer:
salantis [7]3 years ago
3 0
To solve for the values in the variable knowing that the sum of all angles in a triangle add to 180 degrees. Simply use this fact to determine the value of z.

Z = 180 - 115 = 165

Then to solve for x, do the same thing. Add up 51 and 45 and subtract the sum by the 165 degrees.

To solve for y, simply knowing the angle that is present for both 70 and the unknown is 180. Subtract 180 from y.

To actually solve for y add up the value for x and 51 and subtract that amount by 180 degrees.
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Singh works at a restaurant where he is paid by the hour plus time-and-a-half for his hours over 40. Last week he worked 3 hours
Stolb23 [73]

Answer:

The hourly wage is $8.55 per hour

Step-by-step explanation:

Step 1: Determine the expression for the gross pay

Total gross pay=(Unit rate per hour×number of hours(≤40))+(Overtime rate×number of overtime hours)

where;

Total gross pay=$380.48

Unit rate per hour=x

Number of hours=40 hours

Overtime rate=x×(1 1/2)=1.5 x

Number of overtime hours=3 hours

Step 2: Replace to solve for hourly wage

380.48=(x×40)+(1.5 x)×3

40 x+4.5 x=380.48

44.5 x=380.48

x=380.48/44.5

x=8.55

The hourly wage is $8.55 per hour

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3 years ago
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Olivia will walk 8 miles per hour
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drag equations to each row to show why the equation of a straight line is why equals 3X, where three is the slope
DiKsa [7]

Answer:

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8 0
4 years ago
Solve the following system of equations.
Luden [163]
Hey Kayla!

Let me help you out real quick.

x - 2y = 5
-3x + 2y = 7

We need to solve x - 2y =5 for x
x - 2y = 5
x = 5 + 2y
Now substitute 2y + 5 for x in -3x + 2y = 7
-3x + 2y = 7
-3(2y + 5) + 2y = 7
-6y - 15 + 2y = 7
-4y - 15 = 7
-4y = 7 + 15
-4y = 22
y = 22/-4
y = -11/2

Now we need to substitute -11/2 for y in x= 2y + 5
x = 2y + 5
x = 2(-11/2) + 5
x = -22/2 + 5
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Thus,

The answer is x = -6 and y = -11/2

The correct answer is option D

Good luck with your studies :)

You got it! 
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6 0
3 years ago
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