Answer:
x=13
Step-by-step explanation:
vertical opposite angles are equal.
Answer:
49.92 miles/hour
Step-by-step explanation:
32 miles/hour = 32 * 5280 = 168960 ft/hour
For the collision to occur, both cars must arrive at the intersection at the same time.
The time it takes for the Mercedes to travel 400 feet at the rate of 168960 ft/hour is 400 / 168960 = 0.002367 hours
So the Ferrari should take the same time to travel 624 feet as well, its speed would be
624 / 0.002367 = 263577.6 ft/hour or 263577.6 / 5280 = 49.92 miles/hour
Answer:
141.5 in
Step-by-step explanation
AB // CD // EF
12 / 15 = 21 / y (By the property of 3 parallel lines and its transversals)
y = (15*21) / 12 = 26.25
CD // EF // GH
21 / y = x / 10 21 / 26.25 = x / 10
x = (21*10) / 26.25
x = 8
perimeter of ABHG = (y-14) +15 + y + 10 + (5x-3) + x + 21 + 12 = 141.5
Answer: 25
Step-by-step explanation:
There are two variables which is u and v and is given that u is 3 and v is 7 so input that into the expression and solve.
2(3)^2 + 7 Solve the exponent first
2(9) + 7 Now multiply then add
18 + 7 = 25
9514 1404 393
Answer:
(b) angle FOA
(c) angle EOA
(d) angle AOH
Step-by-step explanation:
(b) The rays of vertical angles are opposites that form intersecting lines.
The opposite of ray OG is OF. The opposite of ray OB is OA, so the vertical angle to GOB is angle FOA.
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(c) The opposite of ray OB is OA, so the supplement to angle EOB is angle EOA.
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(d) Similarly, the supplement to angle BOH is angle AOH.
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<em>Comment on supplementary angles</em>
Angles that form a linear pair are supplementary. Angles do not have to form a linear pair to be supplementary. They merely have to have a sum of 180°. Here, the supplementary angles of interest do form a linear pair, so finding the other angle of the pair means only finding the other point that names the line being formed by the pair.
