Answer:
1) m<1 = 25
2) m<4 = 155
3) m< 5 = 25
4) m<7 = 25
5) 110
6) 30.5
7) 74
Step-by-step explanation:
1)
x + 155 = 180
x = 25
2)
<4 = 155 because of vertical angle thm
3)
<5 = 25 (congruent to <1) b/c of corresponding angles thm
4)
<7 = <5 (25) because of vertical angles thm
5)
5x + 15 = 8x - 42
-3x = -57
x = 19
5(x) + 15
5(19) + 15 = 110
6)
180 - 110 = 70
3x + x + 4 + 70 = 180
4x + 74 = 180
4x = 106
x = 26.5
x+ 4 = 30.5
7)
180 - 115 = 65
x + 4 + 2x + 65 = 180
3x + 69 = 180
3x = 111
x = 37
2x = 74
Answer:
10 ways
Step-by-step explanation:
The number of ways in which five basketball players could be placed in three positions is:
5
= 
= 
= 
= 5 × 2
= 10
The basketball players can be arranged in 10 ways.
Answer:
$13.
Step-by-step explanation:
Let x represent money that Alison has.
We have been given that Leo has 7 times as much money as Alison had. So the amount of money that Leo has, would be
.
We are also told that Leo had $91, so we will equate
with 91 and solve for x as:

To solve for x, we will divide both sides by 7:


Therefore, Alison has $13.
Answer:
75
Step-by-step explanation:
We know that 80% of Andrew's (former) baseball card collection is 60. Thus, We divide 60 by 80% (equal to 0.8) to obtain
.