Answer: 
<u>Step-by-step explanation:</u>

Answer:
Paige’s net income for December is $950
Step-by-step explanation:
Here in this question, we are interested in calculating Paige’s net income for December
Mathematically;
Net income = Monthly wage - Total Expenses
From the question, monthly wage = $1,850 while the total expenses = $900
Thus, the net income will be ; $1,850 - $900 = $950
Answer:
.15
Step-by-step explanation:
Probability of Rain = x
Probabiliy of No Rain = y
Y=1-X
Y=1-0.85
Y=.15
Given:
The value is:

To find:
The smallest positive degree angle measure equivalent to
.
Solution:
We have,

Using the scientific calculator, we get


Therefore, the smallest positive degree angle measure equivalent to
is 23 degrees.
Answer:
x = 14
y = 4
Explanation:
Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.
So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.
So we can write the equation x = y + 10.
Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.
So, we can write the equation 4y = x + 2.
Now we have the equations
you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.
If you graph these two equations they'll intersect at the solution ( 14, 4 ). I'll include the graph in my images as well.
To check your answer, you can plug in x and y and see if the triangle sides end up being the same length. I did and it was correct.