Answer:
D. 0.821
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The combinations formula is important to solve this question:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes
The order is not important. For example, Elisa, Laura and Roze is the same outcome as Roze, Elisa and Laura. This is why we use the combinations formula.
At least 3 girls.
3 girls
3 girls from a set of 5 and 2 boys from a set of 3. So

4 girls
4 girls from a set of 5 and 1 boy from a set of 3. So

5 girls
5 girls from a set of 5


Total outcomes
5 from a set of 8. So

Probability

So the correct answer is:
D. 0.821
<span>A radius of a circle is perpendicular to a chord if and only if it bisect the chord.</span>
Answer:
a
Step-by-step explanation:
Answer:
m∠K = 97°
Step-by-step explanation:
The sum of the measures of the angles of a quadrilateral is 360
127 + 5x + 3 + 10x + 7 + 88 = 360
15x + 225 = 360
15x = 135
x = 9
m∠K = 10x + 7 = 10(9) + 7 = 90 + 7 = 97°
Answer:
Step-by-step explanation:
Because MK is a diameter, then angle L is a right angle. We already know that the measure of angle K is 50, so the measure of angle M has to be 40 because of the triangle angle-sum theorem. The rule for inscribed angles and the arcs they cut off is that the angle is half the measure of its intercepted arc or, likewise, the arc is twice the measure of the angle that cuts it off. Since arc LK is across from angle M and is cut off by angle M, then arc LK is twice the measure of angle M, and is 80. That's the same reason why angle L is 90; arc MK is a semi-circle, with a degree measure of 180, and angle L is half of that.
Arc LK = 80