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s2008m [1.1K]
3 years ago
13

Can someone explain why the answer is true. Will Mark brainliest.

Mathematics
1 answer:
Reil [10]3 years ago
6 0

Answer:

I am going to try my best and say that the answer is B

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

<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
Can someone help me with this ASAP
Anastaziya [24]
Text my number ( 4015166761) i did all of that already im in 7th ill hook u up wit all the answers .
6 0
3 years ago
Read 2 more answers
Does anyone know what this equation is? I'm pretty sure the first part is surface area
LekaFEV [45]
There is so equation showed

sorry for incovinonce
6 0
3 years ago
4x(3x+8y)-7y(5x-1) simplify
Alex Ar [27]
4x(3x + 8) - 7y(5x - 1) =
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8 0
4 years ago
Factor completely 16a^3b^7 + 2a^6b^4 - 22a^4b^5
Alina [70]

Answer:

2a^3b^4(8b^3+a^3-11ab)

Step-by-step explanation:

as^3b^4(8b^3) +2a^6b^4-22a^4b^5\\2a^3b^4(8b^3)+2a^3b^4(a^3)-22a^4b^5\\2a^3b^4(8b^3)+2a^3b^4(a^3)+2a^3b^4(-11ab)\\2a^3b^4(8b^3+a^3)+2a^3b^4(-11ab)\\2a^3b^4(8b^3+a^3-11ab)

4 0
3 years ago
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