Answer:
-6x-4
Step-by-step explanation:
Answer:
8 points
Step-by-step explanation:
Given that there are 4 teams and Each team plays each of the other teams exactly once, then each team plays 3 matches. The possible points after 3 matches are:
0: 3 lost
1: 2 lost, 1 tied
2: 2 tied, 1 lost
3: 3 tied
4: 1 won, 1 lost, 1 tied
5: 1 won, 2 tied
6: 2 won, 1 lost
7: 2 won, 1 tied
9: 3 won
Answer:
m∠7 = 63 degrees
m∠8 = 117 degrees
m∠9 = 63 degrees
Step-by-step explanation:
When two lines intersect at a point, then they formed 2 pairs of vertically opposite angles and 4 pairs of linear angles
- The vertically opposite angles are equal in measures
- The linear angles have a sum of 180°
In the given figure
∵ There are two lines intersected at a point
∴ The angle of measure 117° and ∠8 are vertically opposite angles
∴ ∠7 and ∠9 are vertically opposite angles
∴ The angle of measure 117° and ∠7 are linear angles
∵ The vertically opposite angles are equal in measures
∴ The angle of measure 117° and ∠8 are equal in measures
∴ m∠8 = 117°
∵ The sum of the measures of the linear angles is 180°
∴ m∠7 + 117° = 180°
→ Subtract 118 from both sides
∵ m∠7 + 117 - 117 = 180 - 117
∴ m∠7 = 63°
∵ m∠7 = m∠9 ⇒ proved up
∴ m∠9 = 63°
-5(-2b-1)
Collect like terms and simplify
(Multiply the number outside the bracket with the ones in the parentheses/bracket)
(-x-)= +
(+x+)= +
(-x+)= -
(+x-)= -
Basically same signs multiplied = +
Different signs multiplied = -
-5(-2b)= 10b
-5(-1)=5
10b+5 is your answer
