SP=2x+3, and LN=5x−14. Find SP.

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 =

(2x + 3) =

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.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!