The sum of two angle measures 130 degrees. the difference in the two angle measures is 12 degrees. what are the two angle measures ?

  59°, 71°

Step-by-step explanation:

This is a "sum and difference" problem. All problems of this type have the same the larger of the two numbers is the average of those given.

Then the larger angle is (130 +12)°/2 = 71°. The smaller is 71° -12° = 59°.

More detailed solution

There are several ways to get there using equations. You can, for example, let L represent the larger number. Then L - D will be the smaller one (where D represent the difference). The sum of the two numbers (S) is ...

  L + (L -D) = S

  2L = S + D . . . . collect terms, add D

  L = (S+D)/2 . . . the larger number is the average of the sum and difference

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.