Answer:
23) x ≥ -140.
24) k > -9.
25) v ≥ 9.
26) m > 16.
Step-by-step explanation:
23) -14 ≤ ![\frac{x}{10}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B10%7D)
≥ -14
x ≥ -140
Since it is a ≥ sign, you will put a shaded circle at -140, and the line will stretch infinitely to the right of the circle.
24) -20 < k - 11
k - 11 > -20
k > -9
Since it is a > sign, you will put a non-shaded circle at -9, and the line will stretch infinitely to the right of the circle.
25) -6v ≤ 54
6v ≥ 54
v ≥ 9
Since it is a ≥ sign, you will put a shaded circle at 9, and the line will stretch infinitely to the right of the circle.
26) 8 < ![\frac{m}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7B2%7D)
> 8
m > 16
Since it is a > sign, you will put a non-shaded circle at 16, and the line will stretch infinitely to the right of the circle.
<h2>Hope this helps! </h2>
Answer:
The measure of the larger is
.
Step-by-step explanation:
Given:
The measure of an angle is
degrees less than three times the measure of another angle.
The two angles are supplementary.
To find: The measure of the larger angle.
Solution:
Let the measure of the smaller angle be
.
Then the measure of the larger angle be
.
The two angles are supplementary, so their sum is
.
So, ![x^{\circ}+3x^{\circ}-8^{\circ}=180^{\circ}](https://tex.z-dn.net/?f=x%5E%7B%5Ccirc%7D%2B3x%5E%7B%5Ccirc%7D-8%5E%7B%5Ccirc%7D%3D180%5E%7B%5Ccirc%7D)
![\Rightarrow 4x^{\circ}-8^{\circ}=180^{\circ}](https://tex.z-dn.net/?f=%5CRightarrow%204x%5E%7B%5Ccirc%7D-8%5E%7B%5Ccirc%7D%3D180%5E%7B%5Ccirc%7D)
![\Rightarrow 4x^{\circ}=180^{\circ}+8^{\circ}](https://tex.z-dn.net/?f=%5CRightarrow%204x%5E%7B%5Ccirc%7D%3D180%5E%7B%5Ccirc%7D%2B8%5E%7B%5Ccirc%7D)
![\Rightarrow 4x^{\circ}=188^{\circ}](https://tex.z-dn.net/?f=%5CRightarrow%204x%5E%7B%5Ccirc%7D%3D188%5E%7B%5Ccirc%7D)
![\Rightarrow x^{\circ}=\frac{188^{\circ}}{4}](https://tex.z-dn.net/?f=%5CRightarrow%20x%5E%7B%5Ccirc%7D%3D%5Cfrac%7B188%5E%7B%5Ccirc%7D%7D%7B4%7D)
![\Rightarrow x^{\circ}=47^{\circ}](https://tex.z-dn.net/?f=%5CRightarrow%20x%5E%7B%5Ccirc%7D%3D47%5E%7B%5Ccirc%7D)
So, the measure of the smaller angle is
.
And, the measure of the larger angle is
.
Hence, the measure of the larger is
.
Answer:
it s d
Step-by-step explanation:
Answer:
−
1
5
Step-by-step explanation: Find
f
(
x
+
h
)
and
f
(
x
)
, and plug these values into the difference quotient formula.
Answer:
-3018
Step-by-step explanation:
hope this helps