Check the picture.
The figure shows lines m, n and the line through points A And B, call it

.
1. The angles ABC and CBP are "supplementary" angles, that is angles whose sum is 180°, because together they form one straight angle.
thus,
(2x+5°)+(7x-14°)=180°
9x-9°=180°
9x=189°
x=189°/9=21°.
2. Remark, m and n are parallel, otherwise we can say nothing about the measure of angle P
check the second picture, notice the F shape formed by CBP and P.
Angles CBP and P are called "angles F" or "corresponding angles".
Corresponding angles formed by a line cutting 2 parallel lines, are always congruent (that is equal) so:
m(P)=m(CBP)=7x-14°=7.21°-14°=147°-14°=133°
Answer: 133°
Answer:
79
Step-by-step explanation:
if you take a look at the problem it looks like it has an even with, so you subtract 152 by 73 to get 79.
Answer:
42 Dimes, 10 Nickels.
Step-by-step explanation:
Dimes are worth $0.10, nickels are worth $0.05.
If D = number of dimes, and N = number of nickels, then the following equations are true:
0.10D + 0.05N = 4.70
D + N = 52
Next, let's multiply the first equation by 10 so that we can subtract the second one from it.
D + 0.50N = 47
(-) D + N = 52
Subtracting the second equation from the first one gives:
-0.5N = -5
-0.5N/-0.5 = -5/-0.5
N = 10
Finally, substitute N in the original second equation to find D.
D + 10 = 52
D + 10 - 10 = 52 - 10
D = 42
Answer:
n-7=13
Step-by-step explanation:
We need to find an equation that represents the expression: "Seven less than a number is thirteen".
It means that a number minus 7 equals 13. So, the correct option is: n-7=13
Bonus: Solving for 'n' we have that n=20.
So, Seven less than 20 equals 13!!