In ∆ASR, W, E and N are midpoints. Determine the lengths of each segment using the number bank.

9514 1404 393

  A)  AS = 60

  B)  WE = 20

  C)  EN = 25

  D)  AR+RS-AS = 30

Step-by-step explanation:

Each midsegment is half the length of the parallel side. Each side is twice the length of the parallel midsegment.

A) AS = 2(WN) = 2(30) = 60

B) WE = RS/2 = 40/2 = 20

C) EN = AR/2 = 50/2 = 25

D) AR +RS -AS = 50 +40 -60 = 30

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !