ST = 2TW since W is the midpoint of ST. So:-
8x + 10 = 2(6x - 7)
8x + 10 = 12x - 14
24 = 4x
x = 6
Therefore SW = ST = 58 and TW = 29
1 1/2 or 3/2 because there is 4 more than 8 which is a half.
I believe the answer is D, I’m almost 100% positive this is correct
Answer:
12c +9 = Perimeter
Step-by-step explanation:
The perimeter of a triangle is found by adding all the sides
3c+4 + 5c-2 + 4c +7 = Perimeter
Combine like terms
12c +9 = Perimeter
Answer:
∠S = 151
Step-by-step explanation:
The figure shown is a pentagon
The angles in a pentagon add up to equal 540
Thus, ∠Q + ∠P + ∠T + ∠S + ∠R = 540
Or 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540
This is the equation we will use to solve for x
Step 1 combine like terms
10x = 5x + 7x + 13x + 8x = 43x
-3 + 2 - 11 - 31 - 19 = -62
We now have 540 = 43x - 62
Step 2 add 62 to each side
-62 + 62 cancels out
540 + 62 = 602
we now have 602 = 43x
Step 3 divide each side by 43
43x / 43 = x
602 / 43 = 14
we're left with x = 14
Finally we plug in 14 for x in the given expression for ∠S
∠S = 13x - 31
* substitute 14 for x *
∠S = 13 ( 14 ) - 31
∠S = 13 * 14 = 182
182 - 21 = 151
Thus, ∠S = 151