The exterior angle at the intersection of the tangent and secant has a measure that is half the difference between the intercepted arcs.
... ((10x+20) -80)/2 = 2x+15
... 5x -30 = 2x +15
... 3x = 45
... x = 15
So, the unknown arc to the right has measure
.. 10x + 20 = 10·15 +20 = 170
And the arcs of the circle total 360°.
... 80 + z + 170 = 360
... z = 360 - 250 = 110 . . . subtract 250 from both sides
The appropriate choice for the value of z is
... B. 110
Answer:
x = 5/2
Step-by-step explanation:
Isolate x by adding 2x to both sides, obtaining: 5 - 2x + 2x = 2x. Then 5 = 2x, and dividing both sides by 2 results in x = 5/2.
Answer:
Two trains leave a town at the same time heading in opposite directions. One train is traveling 12 mph faster than the other. After two hours, they are 232 miles apart. What is the average speed of each train?
52 mph; 64 mph
55 mph; 70 mph
92 mph; 104 mph
98 mph; 110 mph
Step-by-step explanation:
Answer:
c) slope: -7 ; y-intercept: 2
Step-by-step explanation:
Note the slope intercept form:
y = mx + b
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
Note in this case:
y = (-7)x + 2
y = y
m = -7
x = x
b = 2
c) slope: -7 ; y-intercept: 2 is your answer.
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Answer:
2. n = 11
4. g = -2
6. t = 21
8. n = 4
10. y = -1
Step-by-step explanation:
2. 63 = -3(1 - 2n)
Dividing both the side by negative 3 we get
4. -g + 2(3 + g) = -4(g + 1)
First we will open the bracket by distributive property A( B +C) = AB + AC
6.-3(t +5 ) + (4t + 2) = 8
Using distributive property A( B +C) = AB + AC we get
8. -8 - n = -3(2n -4)
Using distributive property A( B +C) = AB + AC we get
10. -4( 2 - y) + 3y = 3(y - 4)
Using distributive property A( B +C) = AB + AC we get
