Answer:
Step-by-step explanation:
y + 47° = 90° {Complementary angles}
y = 90° - 47°
y = 43°
x = y {Vertically opposite angles}
x = 43°
Let X be the number of hours
Brady drives 60 mph for X number of hours, which is written as 60x.
Mary drives 45 mph for x number of hours, which is written as 45x.
The equation to solve for the number of hours is:
60x + 45x = 1365
Simplify:
105x = 1365
Divide both sides by 105:
x = 1365 / 105
x = 13 hours.
21.7 so you would probably round down too 21 because you can't have 0.7 of a person
Answer:
{-8, 8}
Step-by-step explanation:
Simplify 7· |n| = 56 by dividing both sides by 7:
|n| = 8
Because this is an absolute value equation, there are two separate solutions. One is n = +8 and the other is n = -8.
We need to write the sum in this form:
So, we need to find an appropriate sequence, such that 
is the i-th even number.
You can easily check that this series is 
. In fact, you have
and so on. Finally, we have to observe that we want the first 50 elements of this sequence, since 
.
So, the sum can be written as
