The answer to the question is 8
Answer:
m<1 = 57°
m<2 = 33°
Step-by-step explanation:
To find the numerical measure of both angles, let's come up with an equation to determine the value of x.
Given that m<1 = (10x +7)°, and m<2 = (9x - 12)°, where both are complementary angles, therefore, it means, both angles will add up to give us 90°.
Equation we can generate from this, is as follows:
(10x + 7)° + (9x - 12)° = 90°
Solve for x
10x + 7 + 9x - 12 = 90
Combine like terms
19x - 5 = 90
Add 5 to both sides
19x = 90 + 5 (addition property not equality)
19x = 95
Divide both sides by 19
x = 5
m<1 = (10x +7)°
Replace x with 5
m<1 = 10(5) + 7 = 50 + 7 = 57°
m<2 = (9x - 12)
Replace x with 5
m<2 = 9(5) - 12 = 45 - 12 = 33°
Answer:
0.264 mm
Step-by-step explanation:
Number of sheets = 1000
Thickness of entire sheet = 264 mm
The thickness of the sheet is :
Thickness of entire sheet / number of sheets
264 mm / 1000
= 0.264 mm
Answer:
When we are dividing exponents, there is this rule:
![\frac{a^n}{a^m}=a^{(n-m)}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5En%7D%7Ba%5Em%7D%3Da%5E%7B%28n-m%29%7D)
So, in our case we have this:
![\frac{16a^5b^3}{8ab} = \frac{16}{8}a^{(5-1)}b^{(3-1)}](https://tex.z-dn.net/?f=%5Cfrac%7B16a%5E5b%5E3%7D%7B8ab%7D%20%3D%20%5Cfrac%7B16%7D%7B8%7Da%5E%7B%285-1%29%7Db%5E%7B%283-1%29%7D)
![=2a^4b^2](https://tex.z-dn.net/?f=%3D2a%5E4b%5E2)
Answer:
Step-by-step explanation:
p+1 +8 = 8p+16
p+9 = 8p+16
9-16 = 8p-p
-7=7p
-7/7 =p
-1=p