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°
Answer:
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Step-by-step explanation:
(
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Factor the polynomial completely.
Group and factor out the greatest common factor (GCF), then combine.
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
So the answer is 
Hope this helps out :)
Answer:
12 miles
Step-by-step explanation:
sorry if im wrong
Answer:
106
Step-by-step explanation:
1272/21
Given:
The endpoints of a line segment are (-5,12) and (-5,0).
To find:
The coordinates of a points which divides the line segment in 2:1.
Solution:
Section formula: If a point divides a line segment in m:n.

Let point P divides the given line segment in 2:1. They, by using section formula, we get




Therefore, the coordinate of the point that partitions the given segment in the ratio 2:1 are (-5,4).