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zloy xaker [14]
3 years ago
9

-5x + y = 56 and x + y = -4

Mathematics
1 answer:
12345 [234]3 years ago
6 0
The slope of -5x + y = 56 is 5

the slope of x + y = -4 is -1
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Explanation

Two Angles are Supplementary when they add up to 180 degrees

Step 1

Let

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The measure of one angle is four times the measure of the other angle,then

\begin{gathered} \text{angle}1=4\cdot\text{angle}2\text{    } \\ x=4y\text{   Equation(1)} \end{gathered}

x and y are supplementary angles , then

x+y=180\text{   Equation (2)}

Step 2

use Equation (1) and (2) to find x and y

\begin{gathered} x=4y \\ x+y=180 \end{gathered}

replace Equation (1) in Equation (2)

\begin{gathered} 4y+y=180 \\ 5y=180 \\ y=\frac{180}{5} \\ y=36 \end{gathered}

replace the value of y= 36 in equation (1) to find x

\begin{gathered} x=4y \\ x=4\cdot36 \\ x=144 \end{gathered}

Hence, the answer is 36 and 144

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