34255 = 5 * 13 * 17 * 31
203515 = 5 * 13 * 31 * 101
So GCD(34255, 203515) = 5 * 13 * 31 = 2015
The angle is 80 degrees. The measure of an angle is the exact same as the angle measure of the included arc, so that makes angle BAC 80 degrees
Answer:
3
Step-by-step explanation:
A dog buried 18 bones
On Monday he dug up 1/2 of the bones
On Tuesday he dug up 1/3 of the bones
= 1/2 × 18
= 9
= 1/3×18
= 6
Therefore the remaining bones still buried in the ground can be calculated as follows
= 9+6
= 15
= 18-15
= 3
Hence 3 bones are still buried in the ground
Let x be the number of weeks; therefore, the two linear equations are

Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.
Solving by substitution. Set T=C, then

Thus, substitute the value of x=3 into the first equation,

Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.