Answer:
v = 21
Step-by-step explanation:
the sum of the interior angles of a triangle is 180 degrees
add all 3 angle measures and set equal to 180:
4v + 2v + 54 = 180
6v = 126
v = 21
Answer:

Step-by-step explanation:

Convert the above mixed numbers to improper fractions through this simple approach: 3 × 10 + 1 /10 = 31/10. Similarly, 2 × 6 + 5 /6 = 17/6

Take the LCM of the denominators and simplify. LCM = 60. Thus, 60/10 = 6; 6 × 31 = 186. Also, 60/6 =10; 10×17 =170 all divide by 60:

Common factors between the numerator and denominator is 4, therefore 16/4 = 4 and 60/4 = 15.

Therefore the answer is 4/15 in simplest form.
Answer:

Step-by-step explanation:
Since Quadrilateral ABCD ~ PQRS, therefore:

Let's find the value of x by using the ratio of two corresponding sides of both quadrilaterals. Let's use:

CD = 5
RS = 4.5
DA = 4
SP = x

Cross multiply


Divide both sides by 5


40 / 4 = 10
10 x 9 = 90
it will take him 90 minutes to complete the workout. (or and hour and 30 minutes)