Absolute value is the magnitude of a number without regard to its sign. for example, the absolute value of 5 is 5, and the absolute value of -5 is also 5!
Angles 1 and 4 are alternate angles and thus have the same measurement. You will set their equations equal to each other and solve for the variable.
6n + 1 = 4n + 19
Subtract 1 and 4n from both sides to get variables on one side and constants on the other.
6n - 4n = 19 - 1
Combine like terms and solve for n.
2n = 18
n = 18 / 2
n = 9
Angles 1 and 2 are congruent as labeled in the graph.
So angle 2 is also 6n + 1
Plug in for 9 for n
6(9) + 1
54 + 1
55
Option C is your answer.
Answer:
x = -3/16
Step-by-step explanation:
6x + 5x - 25 = -5x - 28
11x - 25 = -5x - 28
Add 5x to both sides.
16x - 25 = -5x + 5x - 28
16x - 25 = -28
Add 25 to both sides.
16x - 25 + 25 = -28 + 25
16x = -3
Divide both sides by 16
16/16 = 1
-3/16
x = -3/16
Answer:
7a-7
Step-by-step explanation:
2a+2−3a−5+a−4+7a.
Combine like terms
2a-3a+a+7a+2-5-4
7a-7
Answer:
Dave is 18 and his sister is 6.
Step-by-step explanation:
If you do 38 -7x2 you can work out the combined ages of them now which is 24 (you have to do 7x2 because there are two of them and its seven years in the future). Then you can work out their ages using a ratio. Dave’s age : his sister’s age is 3:1 so if you divide 24 by 4 (3+1 = 4 so your can work out one portion of their age) you can find out how old the sister is which is 6. Times that by 3 to get Dave’s age which is 18. A formula for this (where x is his sisters age) would be 3x=38-7x2 which cancels down to 6.
