Answer:
m∠ TRS = 60° , m∠ SRW = 120°
Step-by-step explanation:
First, find x
∠TRS = ∠VRW (vertically opposite angles are equal)
x + 40° = 3x
x - 3x = -40
-2x = -40
x = -40/-2
x = 20
m∠ TRS = 60° [x + 40 = 20+40 = 60]
m∠ SRW + m∠ TRS = 180° (linear pair)
m∠ SRW + 60° = 180°
m∠ SRW = 180° - 60°
m∠ SRW = 120°
hope this helps you
Answer:
Step-by-step explanation:
Givens
Let the first piece be x
Let the second piece 4x
Let the third piece = 5x
Total length = 40 inches.
Equation
x + 4x + 5x = 40 Combine
Solution
10x = 40 Divide by 10
10x/10 = 40/10
x = 4
Answer
The smallest piece (x) = 4
The middle piece 4x = 4*4 = 16
The largest piece 5x= 5 * 4 = 20
Divide the bottom into the top for a decimal
To find the perpendicular line a y- 2 = 7/3 (x + 5) you must first observe that the slope is m = 7/3, therefore, the slope of the perpendicular line put of the reciprocal, that is, m = - 3/7. So the possible options are A or C, but since the point (-4, 9) must go through the line, we find that the equation that satisfies that is option C.Therefore the perpendicular line that passes through the point (-4, 9) is C. y - 9 = -3/7 (x + 4)
