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°
<span>1.35x10^10
should be the answer. Hope it helped :)
this is the number expanded: 1,350,000,000,000</span>
They will be in the form: a/b / c/d
you can re-write it as a/b * d/c...then it will be easy for you!!!
Answer:
7. 
8. l=11cm and w=7 cm
9. 
10. 
Step-by-step explanation:
Question 7.
The given expression is:

Expand the parenthesis using the distributive property:

Group similar terms:

Simplify

Divide both sides by -10

Question 8:
Let the width of the rectangle be;
The length of the rectangle is 
The perimeter is given as: 
Given that the perimeter P=36, then:
![36=2[(w+4)+w)]](https://tex.z-dn.net/?f=36%3D2%5B%28w%2B4%29%2Bw%29%5D)

Divide both sides by 2:

Subtract 4 from both sides:



The dimensions of the rectangle is: w=7 cm and l=7+4=11cm
Question 9
Let the number be x.
"5 fewer than the number" is written as 
"5 fewer than a number is at least 12" becomes

Question 10:
Let the number be x.
The quotient of a number and 3 is written as:

The quotient of a number and 3 is no more than 15 is written as;
