Joyce rode her bicycle 4 miles from her house to the library, and she rode the same distance from the library to the gym. Her average speed from the library to the gym was 15 miles per hour less than her average speed from her house to the library. Joyce modeled the trip from her house to the gym with the following expression.

What does x - 15 represent in this situation?

A.
the distance between the library and the gym
B.
Joyce's average speed from the library to the gym
C.
Joyce's average speed from her house to the library
D.
the total time taken from Joyce's house to the gym

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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.

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

ratio is 2 : 9

the answer is three

13.5 : 3

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

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