Answer:
12 cm
Step-by-step explanation:
1. Consider right triangle MNK. In this triangle angle N is right and m∠M=60°, then m∠K=30°. Thus, this triangle is special 30°-60°-90° right triangle with legs MN and NK and hypotenuse MK=16 cm. The leg MN is opposite to the angle with measure of 30°, then this leg is half of the hypotenuse, MN=8 cm.
2. Consider right triangle MNH, where NH is the height of trapezoid drawn from the point N. In this triangle m∠M=60°, angle H is right, then m∠N=30°. Similarly, the leg MH is half of the hypotenuse MN, MH=4 cm.
3. Trapezoid MNOK is isosceles, because MN=OK=8 cm. This means that NO=MK-2MH=16-8=8 cm.
4. The midsegment of the trapezoid is

Yes. The two smaller squares have a sum of 169 which is the value of the larger square.
a^2 + b^2 = c^2
25 + 144 = 169
It can be done. Notice the figure below shows you how to arrange the squares to give the answer of a^2 + b^2 = c^2
Answer:
c2=a2+b2 1. 172=square +b2 289=225+b2 2.
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Answer:
7/10
Step-by-step explanation:
To find the probability that a student is a liberal arts or female, we have to add together all of the people who were female or liberal arts majors in the study. If we add those together, (15 + 18 + 17 + 20) we get 70. 70/100 can be simplified to 7/10.
Since the two triangles are proportional, there is a scale for going from one triangle to the other