Answer:
the two would 20 miles apart on a coordinate grid .
Step-by-step explanation:
if you look at a 60 by 60 coordinate grid (40,-30) is 20 spaces away from (-60,-30).
330-> -100 = 230, 230-> -100= 130
(I literally just watched a video how to do this, I never had to do it this way when I was in 2nd grade)
[130 final answer]
Step-by-step explanation:
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Answer:
d ≤ 30
Step-by-step explanation:
40 - 10 = 30
she will be able to spend at most 30 dollars
X = 5/3 and m∠SPY = 8 1/3°.
Since PQ bisects the angle, the two angles formed by the bisector are equal:
11/2x - 5 = 4x - 5/2
We will first multiply everything by 2 to eliminate the fractions:
(11/2x)*2 - 5*2 = 4x*2 - (5/2)*2
11x - 10 = 8x - 5
Subtract 8x from each side:
11x - 10 - 8x = 8x - 5 - 8x
3x - 10 = -5
Add 10 to both sides:
3x - 10 + 10 = -5 + 10
3x = 5
Divide both sides by 3:
3x/3 = 5/3
x = 5/3
Now we will plug this in for x in both smaller angles and add them together to find the measure of ∠SPY:
11/2(5/3) - 5 + 4(5/3) - 5/2
55/6 - 5 + 20/3 - 5/2
We will rewrite everything using a denominator of 6:
55/6 - 30/6 + 40/6 - 15/6 = (55-30+40-15)/6 = 50/6 = 8 2/6 = 8 1/3°
