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:
b = 2a + c
Step-by-step explanation:
Given
a = 
(b - c)
Multiply both sides by 2 to clear the fraction
2a = b - c ( add c to both sides )
2a + c = b
Answer:
I think A. Reflexive Property but if I am wrong, I am so sorry
Step-by-step explanation:
because 6 + 1 is is not subtracting or multiplying
Hope this helps
Answer:
G
Step-by-step explanation:
Since there are 50 students being asked, to find a percentage, put the output (the number of students that chose each genre) and the input (the number of students asked all together) in ratio form as a fraction. You will get the fractions 10/50, 16/50, 20/50, and 4/50. Multiply each denominator by two to get the percentage. You will get 20/100, 32,/100, 40/100, and 8/100. If you look at the four answers provided, you can cross out J immediately because it shows that "Other" was the greatest percentage, when it is in fact the smallest. H can be crossed out as well, since the percentage for "Mystery" is over 20% when it should be exactly at 20%. F can be crossed out as well because it shows that "Other" takes up 10%, when it is actually a bit less, 8%. G is the best choice because the percentage that "Other" takes up is a bit less than 10%, so it's safe to say that it shows 8%.
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
Maybe you want to find x such that ...
2/7 = x/(x +10)
2(x +10) = 7x . . . . . . multiply by 7(x+10)
20 = 5x . . . . . . . . . . subtract 2x, simplify
4 = x . . . . . . . . . . . . divide by 5
_____
<em>Additional comment</em>
You can almost solve this "by inspection" if you recognize the difference of the denominator and numerator is 5 on the left and 10 on the right. If you multiply the fraction on the left by 2/2, you get 4/14, the values in x/(x+10) in the fraction on the right.
