D.12 geometry math question no guessing and show work

First, mark all the values at their designated location.

SM=3x-4

RN=9x-20

Now, we can say that RP=PN and RP=1/2RN.

RP is parallel to SM and SR is parallel to MP. This suggests that MRSP is a parallelogram, where opposite sides are parallel and congruent. This means that RP=SM.

Since

RP=1/2RN

We can say that

1/2RN=SM using substitution.

1/2(9x-20)=3x-4

9x-20=6x-8

3x=12

x=4.

Answer is B.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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