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a rule to know: a median divides the side into equal parts.

we know:

PR = -2a + 34

SR = 2a + 26

- based on the rule, SR is half of PR. in other words, PR is two times greater than SR.

so,

2SR = PR (now simply pluggin the expressions we have)

2(2a + 26) = -2a + 34 (solve the equation like any other equation prob.)

4a + 52 = -2a + 34

6a + 52 = 34

6a = -18

a = -3

- inorder to check if this is correct, simply reverse what we did. so pluggin the value of a to see if its correct.

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step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b