3 hours 54 minutes is the answer
The two similar triangles are triangle BXY and triangle BAC. Since line XY is parallel to segment AC, angle BXY is congruent to angle A, and angle BYX is congruent to angle C. Since two corresponding angles are congruent, we use one of our similarity conjectures, Angle-Angle, to show these triangles are congruent.
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Given, arc QR is congruent to arc LN and arc OP is congruent to arc VW.
And the expressions for each arc in the diagram also given as:
Arc QR = 2x - y, arc LN = 11 , arc OP= 10 and arc VW=5x+y.
Hence, we will get the system of equations as following:
Arc QR = Arc LN
2x - y = 11 ...(1)
Arc OP = Arc VW
5x + y = 10 ...(2)
Next step is to add the two equation to eliminate y so that we can solve the equations for x. Therefore,
2x+5x = 11 + 10
7x = 21
Divide each sides by 7.
So, x= 3
Now plug in x=3 in equation (2) to get the value of y.
5(3) + y = 10
15 + y =10
15 + y - 15 = 10 - 15 Subtracting 15 from each sides.
y = -5
So, x=3 and y =-5
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Answer:
Q1) 7/8
Q2) 1/2
Q3) (-3)
Q4) 1
Step-by-step explanation:
(-2,-2) (-10,-9)
slope = (y₂ - y₁)/(x₂-x₁)
= (-9 -{-2}) / (-10-{-2})
= (-9+2)/(-10+2) = -7/-8
= 7/8
Q2) Slope= (-2+4)/7-3 = 2/4 = 1/2
Q3) slope = (4-10)/(-1+3) = -6/2 = (-3)
Q4) slope = (0+2)/(-1+3) = 2/2 = 1