Answer:
71°
Step-by-step explanation:
In order to be able to solve this problem, we must assume the relation between lines "a" and "b" is that they are parallel.
If a║b, then ∠1 and ∠2 are corresponding, hence congruent.
m∠1 = m∠2 = 71°
Answer:
2.45, -2.45
Step-by-step explanation:
Since the equation has only one term in the unknown "x", we can solve for it isolating "x" on one side of the equal sign:

Which we can round to: x = - 2.45 and x = 2.45
Answer:
Step-by-step explanation:
<u>Perimeter of garden A is
</u>
- P = 2(w + l) = 2( 2x - 3 + 5(2x - 3)) = 24x - 36
<u>Perimeter of garden B is
</u>
-
5x + 5 + 4x + 2 + 8x - 8 = 17x - 1
<u>Sum of perimeters:</u>
- 24x - 36 + 17x - 1 = 41x - 37
The statement 2 is FALSE as number we got is different from the one in the statement
a. The first part asks for how many ways they can be seated together in a row. Therefore we want the permutations of the set of 6 people, or 6 factorial,
6! = 6
5
= 30
4
= 360
2 = 720 possible ways to order 6 people in a row
b. There are two cases to consider here. If the doctor were to sit in the left - most seat, or the right - most seat. In either case there would be 5 people remaining, and hence 5! possible ways to arrange themselves.
5! = 5
4
= 20
3
= 120
1 = 120 possible ways to arrange themselves if the doctor were to sit in either the left - most or right - most seat.
In either case there are 120 ways, so 120 + 120 = Total of 240 arrangements among the 6 people if the doctor sits in the aisle seat ( leftmost or rightmost seat )
c. With each husband on the left, there are 3 people left, all women, that we have to consider here.
3! = 3
2 6 ways to arrange 3 couples in a row, the husband always to the left