Answer:
n is 
, p is 
, and r has infinitely many different lines that have this property.
Step-by-step explanation:
If two lines have no solutions, that means that they are parallel. The slopes of two lines are the same if they are parallel. So n's slope is 
. The y-intercept can be anything except -5, or +b. If two lines have infinitely many solutions, those two lines are exactly the same. So p is just m. If two lines have one and only one solution, that just means the slopes and y-intercepts are different. Since we don't know anything else about line r, we an't model an equation for it.
Answer:
x=-21
Step-by-step explanation:
x-7=2x+14
-7=x+14
-21=x
Answer:
8. x = 16
9. x = 10
14.
m ∠RSU = 130°
m ∠UST = 50°
15.
m ∠RSU = 124°
m ∠UST = 56°
Step-by-step explanation:
8.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is , (x + 15)° = 31°
x = 31 - 15 = 16
9.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is ,
(6x - 4)° = 56°
6x = 56 + 4
6x = 60
x = 10
14.
13x + 5x = 180° [straight line angles ]
18x = 180
x = 10
m ∠RSU = 130°
m ∠UST = 50°
15.
4x + 12 + 2x = 180° [ straight line angles]
6x = 180 - 12
6x = 168
x = 28
m ∠RSU = 4(28) + 12 = 112 + 12 = 124°
m ∠UST = 2(28) = 56°
Answer:
5 times a number increased by 2 is the same as 8 more than 3 times the number.
Step-by-step explanation:
Answer:the number of coach tickets that she bought is 5
the number of first class tickets that she bought is 6
Step-by-step explanation:
Let x represent the number of coach tickets that she bought.
Let y represent the number of first class tickets that she bought.
The total number of people that went for the round trip is 11. This means that
x + y = 11
She was able to purchase coach tickets for $340 and first class tickets for $1190. She used her total budget for airfare for the trip, which was $8840. This means that
340x + 1190y = 8840 - - - - - - - 1
Substituting x = 11 - y into equation 1, it becomes
340(11-y) + 1190y = 8840
3740 - 340y + 1190y = 8840
- 340y + 1190y = 8840 - 3740
850y = 5100
y = 5100/850 = 6
x = 11 - y
x = 11 - 6 = 5
