Answer:
A. 76
Step-by-step explanation:
Angle A is half the difference between the measures of arc DE and BC.
m∠A = (1/2)(DE -BC)
20 = (1/2)(116 -BC) . . . . substitute the given values
40 = 116 -BC . . . . . . . . multiply by 2
BC = 116 -40 . . . . . . . . add BC -40
BC = 76
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<em>Comment on intersecting secants</em>
When the secants intersect <em>inside</em> the circle, the angle where they cross is half the <em>sum</em> of the intercepted arcs. When they intersect <em>outside</em> the circle (as here), the angle where they meet is half the <em>difference</em> of the intercepted acs.
Sometimes it is easier to remember two related relationships than it is to remember just one of them.
Answer: the third angle is 106 degrees.
The base angles are 37 degrees each.
Step-by-step explanation:
In an isosceles triangle, the base angles are equal.
Let x represent the measure of each of the base angles.
The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. It means that the measure of the third angle would be
(2x + 32) degrees
The sum of the angles inna triangle is 180 degrees. It means that
x + x + 2x + 32 = 180
4x = 180 - 32
4x = 148
x = 37
The third angle is
2x = 32 = (2 × 37) + 32
= 74 + 32 = 106
Answer:
After 5 hours, they will each have 10 lily pads left..
Step-by-step explanation:
30|25|20|15|10|5|0
38|31|24|17|10|3
Answer:
Yes, Cecile factored the polynomial correctly.
Step-by-step explanation:
