Solution:
Vertical angles are a pair of opposite angles formed by intersecting lines. re vertical angles. Vertical angles are always congruent.
These two angles (140° and 40°) are Supplementary Angles because they add up to 180°:
Notice that together they make a straight angle.
Hence,
From the image
The following pairs form vertical angles
![\begin{gathered} \angle1=\angle3(vertical\text{ angles)} \\ \angle2=\angle4(vertical\text{ angles)} \\ \angle5=\angle7(vertical\text{ angles)} \\ \angle6=\angle6(vertical\text{ angles)} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cangle1%3D%5Cangle3%28vertical%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle2%3D%5Cangle4%28vertical%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle5%3D%5Cangle7%28vertical%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle6%3D%5Cangle6%28vertical%5Ctext%7B%20angles%29%7D%20%5Cend%7Bgathered%7D)
Hence,
One pair of the vertical angles is ∠1 and ∠3
Part B:
Two angles are said to be supplementary when they ad together to give 180°
Hence,
From the image,
The following pairs are supplementary angles
![\begin{gathered} \angle5+\angle6=180^0(supplementary\text{ angles)} \\ \angle5+\angle8=180^0(supplementary\text{ angles)} \\ \angle7+\angle8=180^0(supplementary\text{ angles)} \\ \angle6+\angle7=180^0(supplementary\text{ angles)} \\ \angle1+\angle2=180^0(supplementary\text{ angles)} \\ \angle1+\angle4=180^0(supplementary\text{ angles)} \\ \angle2+\angle3=180^0(supplementary\text{ angles)} \\ \angle3+\angle4=180^0(supplementary\text{ angles)} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cangle5%2B%5Cangle6%3D180%5E0%28supplementary%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle5%2B%5Cangle8%3D180%5E0%28supplementary%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle7%2B%5Cangle8%3D180%5E0%28supplementary%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle6%2B%5Cangle7%3D180%5E0%28supplementary%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle1%2B%5Cangle2%3D180%5E0%28supplementary%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle1%2B%5Cangle4%3D180%5E0%28supplementary%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle2%2B%5Cangle3%3D180%5E0%28supplementary%5Ctext%7B%20angles%29%7D%20%5C%5C%20%5Cangle3%2B%5Cangle4%3D180%5E0%28supplementary%5Ctext%7B%20angles%29%7D%20%5Cend%7Bgathered%7D)
Hence,
One pair of supplementary angles is ∠5 and ∠6
Answer:
$40,000
Step-by-step explanation:
25% of x = $10,000
0.25x = 10,000
x = 10,000/0.25
x = 40,000
Answer: $40,000
I don't know about the first one but the second one is 34.9°. It would be that because are right angles add up to 90° and if you subract 55.1 and 90 it would equal 34.9. But this rule only works on right angles.
In your situation you said that
Putting those together, you'd have
because
.
To evaluate the difference quotient, first find each piece on it's own:
because
no matter what your x-value is.
So putting those together:
![f(x+1) - f(x) = b-b = 0](https://tex.z-dn.net/?f=f%28x%2B1%29%20-%20f%28x%29%20%3D%20b-b%20%3D%200)
Remember that the difference quotient is basically finding the slope of something. Since you were given that the slope is 0, the difference quotient should work out to match that.
What i did was add 40 to 120 to get 160. then i devided 160 by the 6.25 she got per hour and i got 25.6 and rounded to 26 which would end up being the least amount of hours she could’ve worked. so 26 is the answer i’m pretty sure