Answer:
Step-by-step explanation:
1). Since angles P and Q are supplementary,
m∠P + m∠Q = 180°
(5x + 3)° + (x + 3)° = 180°
6x + 6 = 180
6x = 174
x = 29
Therefore, Option (3) is the answer.
2). If a point P lies in the interior of ∠RST,
m∠RST = m∠RSP + m∠TPS
(Since, line SP is bisector of angle RST)
m∠RST = 40° + 10°
= 50°
Therefore, option (2) is the answer.
3). AB = distance between two points A and B on a number line
= 8 - (-12)
= 8 + 12
= 20
Therefore, length of AB = 20 units.
Answer:
? i need help
Step-by-step explanation:
As we move from point Z to point Y, x increases by 8 and y increases by 3. Thus the length of line segment ZY is sqrt(8^2 + 3^2) = sqrt(73), by the Pythagorean Theorem. That's approx. 8.54.
You could also leave your answer in the form √(8^2 + 3^2).
