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AleksandrR [38]
3 years ago
6

△ABC△ABC is similar to △QRS△QRS. Also, sideABsideAB measures 50 cm, sideACsideAC measures 60 cm, and sideQSsideQS measures 6 cm.

What is the measure of sideQRsideQR ?
Show all your calculations!
Mathematics
1 answer:
anzhelika [568]3 years ago
6 0
The is that side QR is 5 cm.
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The window in Mr. Rodriguez's attic is in two parts, each shaped like a trapezoid and each with identical dimensions.
WINSTONCH [101]
<h2>Answer:</h2>

\boxed{A=552in^2}

<h2>Step-by-step explanation:</h2>

The window is shown below, so we have two trapezoids. A trapezoid is a quadrilateral (polygon with exactly 4 sides) where at least one pair of opposite sides are parallel. The area of a trapezoid can be found as:

A=\frac{(b_{1}+b_{2})h}{2} \\ \\ Where: \\ \\ b_{1} \ and \ b_{2} \ are \ the \ parallel \ sides \ and \ h \ the \ height

Since there are two trapezoids and each with identical dimensions, we can find the area of the window by finding the area of one trapezoid and multiplying this result by 2:

A=2 \times \frac{(b_{1}+b_{2})h}{2} \\ \\ A=(b_{1}+b_{2})h \\ \\ where: \\ b_{1}=30in \\ b_{2}=16in \\ h=12in

Finally:

A=(16+30)\times 12 \\ \\ \therefore \boxed{A=552in^2}

4 0
3 years ago
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