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°
The best bench mark to use is an inch. She should use an inch because centimeters are too small and the steps might be less than a foot.
14. t=d/r
15. m=e/c^2
16. c=-p+r
Answer:
y = -5x + 7
Step-by-step explanation:
Graph has a slope of -5, which is the gradient
y = -5x + c
To find c you have to sub in the point (2, -3)
-3 = -5(2) + c
-3 + 10 = c
c = 7
Hence equation is:
y = -5x + 7
