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galben [10]
3 years ago
13

What is the equation of this circle?

Mathematics
1 answer:
Marat540 [252]3 years ago
7 0

you have to show us the circle mate???

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rewona [7]
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°
3 0
3 years ago
The subtotal of your computer purchase was $398.50. If the sales tax rate is 7.25%, how much will you pay in tax for the compute
Hatshy [7]

Answer:

54.97

Step-by-step explanation:

6 0
3 years ago
GJ bisects ∠FGH and is a perpendicular bisector of FH. What is true of triangle FGH?
professor190 [17]
Referring to the image attached:

this is an isosceles triangle

6 0
3 years ago
Read 2 more answers
Simplify the expression by combining like terms 2x+8-x+10
svp [43]

Answer:

x+18

Step-by-step explanation:

Let's simplify step-by-step.

2x+8−x+10

=2x+8+−x+10

Combine Like Terms:

=2x+8+−x+10

=(2x+−x)+(8+10)

=x + 18

8 0
2 years ago
How do i make 5x+2y=4 into the form of y=mx+b
malfutka [58]

First you minus 2y on both sides and you get: 5x=-2y+4. Then you minus 4 on both sides to get 5x-4=-2y which in turn is y (-2y) = mx (5x) + b (-4) : -2y=5x-4

6 0
3 years ago
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