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absolute 17 would be greater because the absolute signs cancel out the negatives
Answer:
3*x
Step-by-step explanation:
If Becca has 3 times the amount of games as Susan then you would multiply the number of games Susan has by 3. So we can use X (or another letter) to represent the number of games Susan has. Giving us 3*x
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:
The correct option is D ....
Step-by-step explanation:
Angle is ending at the point = (-3, -4)
Signs of both x and y are negative therefore it is in the third quadrant.
To find the the tangent of an angle we have to find the ratio of the length of the opposite side to the length of the adjacent side.
In this question the opposite side of the angle is of 4 units and the adjacent side of the angle is 3 units.
tanθ = y/x
tanθ = -4/-3
tanθ = 4/3
Thus the correct option is D ....
So assuming simplet interest
find the change to find the interest
change=186000-129000=57000
simple interest=time times rate times principal
time is in years (8)
rate is in decimal
principal is amount invested (129000)
so
interest is 57000
57000=(8)(r)(129000)
57000=1032000r
divide both sides by 1032000
0.05523255813953488372093023255814=r
or
5.523255813953488372093023255814%
rounded
5.5%
