In equilateral δabc, ad, be, and cf are medians. if ac = 22, then bd

11.

Step-by-step explanation:

Basically without calculus we have the answer. As ABC is a equilateral triangle we have that then medians cut each side at the half. So, as you can see in the picture, BD=x is a half of BC and ABC is equilateral so BC=AC=22. Then, BD=22/2=11.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

the answer is a.

135 and 80

step-by-step explanation: