The answer to the question is B.
Answer:

Step-by-step explanation:
The complete question in the attached figure
step 1
Find the measure of angle QPZ
we kno that
---> by supplementary angles (form a linear pair)
we have
---> given value
substitute



step 2
Find the measure of angle YSV
we know that
When two lines are crossed by another line, <em><u>Alternate Exterior Angles</u></em> are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. If the two lines are parallel then the alternate exterior angles are congruent.
In this problem
The transversal is the line XY
The two parallel lines are RQ and VW
therefore
---> by alternate exterior angle
we have

therefore

2 triangle+square=23
square=60/triangle
2 triangle+60/triangle=23
2 triangle^2+60=23 triangle
2 triangle^2-23 triangle+60=0
solving quadratic equation we get
triangle=15/2 , 4
15/2 is not possible so triangle=4
square=15
Answer:
12/13
Step-by-step explanation:
sin can be remembered by opposite over hypotenuse.
the length of the side opposite to angle B is 12, and the hypotenuse is 13. therefore, sin B will be 12/13.
Answer:
14/27 feet
Step-by-step explanation:
2 1/3 feet : 4 1/2 feet
= 7/3 : 9/2
= 7/3 ÷ 9/2
= 7/3 × 2/9
= (7*2)/(3*9)
= 14/27 feet
2 1/3 feet : 4 1/2 feet = 14/27 feet