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olga_2 [115]
3 years ago
6

Please help me out it would be greatly appreciated

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

The area of the given parallelogram is 120.

Step-by-step explanation:

Step 1:

The parameters needed to determine the area of a parallelogram are the base length and height.

The base length of this parallelogram is 15 inches while its height is 8 inches.

The area of a rectangle is determined by multiplying the base length with the height.

Step 2:

The area of the parallelogram = (b)(h).

Here the base length is 15 inches and the height is 8 inches.

The area of the parallelogram =(15)(8) = 120.

So the area of the given parallelogram is 120.

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5x = 3y + 525 
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Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8
goblinko [34]
\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y  = \frac{17}{14} } \atop {x+7y=8}} \right.

To solve this system by substitution, first isolate x in the second equation.

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Now, plug this expression (8-7y) for x in the top equation to solve for y.

\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}
3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24}
72-63y+8y=17
72-55y=17
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Now that you have y, plug it into the second equation and solve for x.

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x+7(1)=8
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Last step is to plug your x- and y-values in to both equations to check your work.

\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}

\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ;  \frac{1}{3} * \frac{8}{8} = \frac{8}{24}

\frac{9}{24} + \frac{8}{24} = \frac{17}{24}  <--True

1+7(1)=8
1+7=8   <--True

Answer:
x=1 \\ y=1
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Answer:

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