3 years ago

EXTRA POINTS-- find the value of x and the measure of each angle

Mathematics

1 answer:

earnstyle [38]3 years ago

4 0

Answer:

x= 25

3x-4=71

2x+3=53

2x+6=56

Step-by-step explanation:

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Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,

nlexa [21]

$$ 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$

$TQ=PQ-PT$

$TQ=3x -x=2x$

Triangle proportionality theorem,

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

$$\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$

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Answer:

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Step-by-step explanation:

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Lina20 [59]

Answer: 24.7

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Step-by-step explanation:

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