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umka2103 [35]
3 years ago
13

What is the area, in square centimeters, of the figure below?

Mathematics
1 answer:
san4es73 [151]3 years ago
4 0

Answer: 39.52 cm

Step-by-step explanation: If you multiply 5.2 and 7.6 you would get 39.52 cm.

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Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,
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$ PS = \frac{4}{3} x

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$PT = x, \ PQ = 3x,  \ SR=\frac{8}{3}x

TQ=PQ-PT

TQ=3x -x=2x

<u>Triangle proportionality theorem,</u>

<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>

$\frac{PS}{SR} =\frac{PT}{TQ}

$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}

Do cross multiplication, we get

$ PS \times 2x=x \times \frac{8}{3} x

Divide by 2x on both sides, we get

$ PS = \frac{4}{3} x

4 0
3 years ago
Lines a and b are parallel.
Andreyy89

Answer:

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Step-by-step explanation:

∠t = 158° ( corresponding angles )

∠s = 180° - ∠t ( straight angle )

    = 180° - 158° = 22°

 

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