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White raven [17]
3 years ago
6

Given: QR = ST, QS = 5x + 17, RT = 10 - 2x, RS = 3 Find: QS and QT

Mathematics
1 answer:
spayn [35]3 years ago
7 0

Answer:

QS=12, QT=21

Step-by-step explanation:

QS=RT

5x+17=10-2x

x= -1

QS= 12

QS-RS=QR

QR=ST=9

QS+ST=QT

QT=22

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Answer:

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Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will  have a slope of 1/2.

Plug this value (1/2) into your standard point-slope equation of y = mx + b.

y = 1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 1/2(4) + b

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Plug this into your standard equation.

y = 1/2x - 4

This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)

Hope this helps!

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