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4 years ago

SP=2x+3, and LN=5x−14. Find SP.

Mathematics

1 answer:

dolphi86 [110]4 years ago

4 0

Answer:

SP = 43 units

Step-by-step explanation:

Given question is incomplete: find the complete question in the attachment.

From the figure attached,

Length of LN = (5x - 14)

Length of SP = (2x + 3)

By the mid-segment theorem,

"Segment connecting the mid points of two sides of a triangle is parallel and half the length of the third side."

SP = $\frac{1}{2}(\text{LN})$

(2x + 3) = $\frac{1}{2}(5x - 14)$

4x + 6 = 5x - 14

5x - 4x = 14 + 6

x = 20

SP = (2x + 3)

= (2×20) + 3

= 43 units

Therefore, measure of SP = 43 units is the answer.

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2 years ago

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3 years ago

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anyanavicka [17]

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Answer:

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3 years ago

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