Answer:
Step-by-step explanation:
Question (1).
OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.
A). ∠OPS ≅ ∠RSU [corresponding angles]
B). m∠OPS + m∠RSP = 180° [Consecutive interior angles]
C). m∠OPS + m∠OPN = 180° [Linear pair of angles]
D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]
And m∠TSP + m∠TSU = 180° [Linear pair of angles]
Therefore, Option (A) is the correct option.
Question (2).
A). m∠RSP + m∠RSU = 180° [Linear pair of angles]
B). m∠RSP + m∠PST = 180° [Linear pair of angles]
C). ∠RSP ≅ ∠TSU [Vertically opposite angles]
D). m∠RSP + m∠OPS = 180° [Consecutive interior angles]
Therefore, Option (C) will be the answer.
the answer is
<span>[√8k ]² =k²,
so 8k=k² which implies k² - 8k= 0, and (k
– 8)k= 0, so k = 8 or k =0</span>
Answer:
Alisa practiced for 240 minutes (4 hours). In total, they practiced for 288 minutes (4.8 hours).
Step-by-step explanation:
If James practiced for 48, and Alisa practiced 5 times as long, then we would multiply 48 by 5 (240 minutes).
If we want to find how many minutes in total they practiced, then we would add 240 minutes (Alisa's practice time) and 48 minutes (James' practice time) together, which would equal 288 minutes (4.8 hours).
Equation: y=48+x
Answer:
You can buy 35.0
Step-by-step explanation:
(2.5+(22.5+10.0))