Answer:
23 degrees
Step-by-Step Explanation:
SU is the transversal between the two parallel lines ST and RU
so angle SUR is equal to angle TSV=31 degrees
angle RVU is 126 degrees also because it is a vertical angle with angle SVT
angle URV is the angle being looked for in the triangle URV, and we know the two others sum to 157 degrees.
Therefore, it is 23 degrees.
Answer:

Step-by-step explanation:
The total length of the belt is:


see the attached figure to better understand the problem
we know that
In a parallelogram opposite angles are congruent, and consecutive angles are supplementary
So
in this problem
∠Y=
°
∠W=∠Y
∠W=
°
∠Z=∠X
∠Y+∠Z=
°
∠Z=
∠Z=
°
∠X=∠Z
∠X=
°
therefore
the answer is
∠Y=
°
∠W=
°
∠X=
°
∠Z=
°
Answer:
$156.86
Step-by-step explanation:
To calculate tip, you need to multiply the total bill by the percent tip you are going to leave. In this case the bill is $136.40, and the customer is going to leave a 15% tip. So, you would want to move the decimal place over to the left by 1, which you should get 13.64 as your number. Then divide it in half, which should give you 6.82. Now add 13.64 and 6.82 with the original bill price. If you don't add the 13.64 you would've forgotten the 10% part of the tip. At the end you should get $156.86 as your final bill.