Answer:
m∠Q = 121°
m∠R = 58°
m∠S = 123°
m∠T = 58°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Create an expression for the sum of all the angles and equate it to 360, then solve for x:
∠Q + ∠T + ∠S + ∠R = 360
⇒ 2x + 5 + x + 2x + 7 + x = 360
⇒ 6x + 12 = 360
⇒ 6x = 360 - 12 = 348
⇒ x = 348 ÷ 6 = 58
So now we know that x = 58, we can calculate all the angles:
m∠Q = 2x + 5 = (2 x 58) + 5 = 121°
m∠R = x = 58°
m∠S = 2x + 7 = (2 x 58) + 7 = 123°
m∠T = x = 58°
Answer:
The length of the board is 60 inches. It's cut into two parts so that the longer piece is 5 times of the shorter part. The equation is formed as under...
Let's assume the shorter part is … x then the longer part is... 5x. The total parts are..
x + 5x = 6x and given that 6x is equal to 60 inches. Therefore...
If 6x = 60 inches then
x = 60/6 = 10 inches and the longer piece is 5x = 5.10 = 50 inches.
The shorter piece is 10 inches long and the length of the longer piece is 50 inches. Answer. Thanks.
Step-by-step explanation:
not sure
Answer:
Please provide a picture.
Step-by-step explanation:
