Answer:
x = 13
Arc RQ = 180°
Step-by-step explanation:
PEQ is an inscribed angle and the measure of an inscribed angle in a circle is equal to half of the arc it sees.
The perimeter of a circle is always 360° therefore
2 × (5x + 15) + 9x + 17 + 6x - 12 = 25x + 35 = 360°
25x = 360 - 35
25x = 325
x = 13
Since arc RQ is equal to 10x + 30 we replace x with the value we just got
10×13 + 30 = 160°
Answer:
BUTTHOLE IS A BUTT THAT FARTS POOP....YA
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Answer:
Step-by-step explanation:
Let g and b represent the numbers of candy canes the girl and boy have, respectively.
g -1 = b +1 . . . . . . girl gives to boy, they're equal
g +1 = 2(b -1) . . . . boy gives to girl; she has double
Adding 1 to the first equation gives an expression for g that can be substituted into the second equation.
g = b +2
(b +2) +1 = 2b -2
5 = b . . . . . . . . . . add 2-b, simplify
g = 5+2 = 7 . . . . . find g
The girl has 7 candy canes; the boy has 5.
Let T = cost of a taco
Let S = cost of a salad
(2 tacos + 1 salad) + (8 % of 2 tacos and 1 salad) + 3 = 13.80
2T + S + .08(2T + S) + 3 = 13.80
2T + 2.5 + .08(2T + 2.5) + 3 = 13.80
2T + 2.5 + .16T + .20 + 3 = 13.80
2.16T + 5.7 = 13.80
2.16T = 8.10
T = 8.10/2.16 = $3.75
Check: 2T + S + .08(2T + S) + 3 = 13.80
2(3.75) + 2.50 + .08(2(3.75)+2.5) + 3 = 13.80
7.5 + 2.5 + .08(10) + 3 = 13.8
13.80 = 13.80
Answer checks as correct
<span>Let time taken by Luke to cover the distance = x hours
Speed of Luke = 6 miles per hour
Therefore, Distance covered by Luke = 6x ------(1)
Speed of Micah = 4 miles per hour
Since Micah walked 2 miles before Luke started running, Luke started 1/2 an hour after Micah started.
Therefore time taken by Micah to cover the distance = x+1/2
Distance covered by Micah = 4(x + 1/2) -------(2)
Equating (1) and (2)
6x = 4(x+1/2)
6x = 4x +2
2x = 2
x= 1
Therefore Luke would take 1 hour to cover the distance covered by Micah.</span>
