Answer:
X = 35
Step-by-step explanation:
Since the line is crossing two parallel lines the measurements are equal then you solve for X.
2X + 20 = 3X - 15
-2X -2X
20 = X - 15
+15 +15
35 = X
7p-(3p+4)=-2(2p-1)+10
7p-3p-4=-4p+2+10
collect the like terms
7p-3p+4p=2+10+4
8p=16
p=2
Answer:
Step-by-step explanation:
Amount charges by plumber = £ 167.00
Call out fee = £ 18.50
Charge excluding the call out fee = 167 - 18.50 = £ 148.50
Total hours worked = 9 hours
Charge per hour = charge excluding the call out fee ÷ total hours
= 148.50 ÷ 9
= £ 16.50
Answer:
Length of Arc = 4
Step-by-step explanation:
Circumference is the whole circle's perimeter.
Arc length is a "part" of the circumference.
Whole circle is 360 degrees, so the arc length with a central angle of 72 degrees will be:
72/360 = 1/5th of the whole circle
The whole circle has circumference of "20", so 1/5 th of that would be:
(1/5) * 20 = 4
Length of Arc = 4
Answer:
7: ![-(3a^2)](https://tex.z-dn.net/?f=-%283a%5E2%29)
8: ![4y](https://tex.z-dn.net/?f=4y)
9: ![-(4ab)](https://tex.z-dn.net/?f=-%284ab%29)
10: ![\frac{7m^3n}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B7m%5E3n%7D%7B9%7D)
11: ![\frac{-x^4y}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-x%5E4y%7D%7B3%7D)
12: ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
Question 7:
1.
2.
3.
Question 8:
1.
2. ![4y^2^-^1](https://tex.z-dn.net/?f=4y%5E2%5E-%5E1)
3.
Question 9:
1. ![\frac{16ab^4}{4b^3}](https://tex.z-dn.net/?f=%5Cfrac%7B16ab%5E4%7D%7B4b%5E3%7D)
2. ![-(4ab^4^-^3)](https://tex.z-dn.net/?f=-%284ab%5E4%5E-%5E3%29)
3.
Question 10:
1.
2.
3. ![\frac{7m^3n}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B7m%5E3n%7D%7B9%7D)
Question 11:
1.
2.
3.
Question 12:
1.
2.
That was quite a handful.