Use integration by parts:
For the integral of tangent, multiply by sec on top and bottom.
Use u-substitution:
Answer can also be written as
20 boys signed up
# of girls who signed up was 195% of the number of boys who signed up
Find 195% of 20:
1.95 * 20 = 39
So 39 girls signed up.
To find out what percent of girls who signed up for the play attended the auditions, divide 26 to the total number of girls who signed up:
26 / 39 = 0.666666667
Multiply by 100:
0.666666667 * 100 = 66.6666667%
So approximately 66.67% or 66 2/3%
Let O be the center of a circle. If <span>the measure of arc RS is 84 degrees, then m∠SOR=84^{0}. The triangle SOR is isoscales (because SO=OR as radii), so m∠RSO=m∠ORS=(180^{0}-84^{0}):2=48^{0}.
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Line RU is tangent to the circle in point R, this means that m∠ORU=90^{0}.
Consider the triangle SRU. m∠RSU=30^{0} and m∠SRU=48^{0}+90^{0}=138^{0}, then m∠RUS=180^{0}-30^{0}-138^{0}=12^{0}.
ANSWER: Correct choice B - 12^{0}.
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Answer:
1.the corresponding angles are propositional
2.the corresponding sides are proportional