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2 years ago

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In the figure below, triangle ABC undergoes a reflection and a translation to become triangle PQR. In triangle ABC, m T

he angle measures of triangle PQR are: m

1 answer:

olga nikolaevna [1]2 years ago

7 0

Answer:

Step-by-step explanation:

A corresponds to angle P, so angle P measues 70 degrees.

Similarly, angle Q measures 60 degrees and angle R measures 50 degrees.

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The perimeter of the rectangle is 76 units. Find the length of side pq

larisa [96]

Answer: $PQ=16\ units$

Step-by-step explanation:

The missing figure is attached.

The perimeter of a rectangle is:

$P=2l+2w$

Where "l" is the lenght and "w" is the width.

You can identify in the figure that:

$w=SR=PQ=2z+2\\\\l=QR=PS=3z+1$

Then, knowing the perimeter of the rectangle, you can make the subsitution into the formula:

$76=2(3z+1)+2(2z+2)$

Now you must simplify and solve for "z"

$76=6z+2+4z+4\\\\76-6=10z\\\\70=10z\\\\\frac{70}{10}=z\\\\z=7$

Finally, substituting the value of "z" into $PQ=2z+2$ , you get:

$PQ=2(7)+2=16\ units$

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nexus9112 [7]

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