Answer:
The area of the shaded figure is:
Step-by-step explanation:
To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):
- Area of a rectangle = long * wide
- Area of a rectangle = 6 * 4
- Area of a rectangle = 24 units^2
How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):
- Area of a triangle =

- Area of a triangle =

- Area of a triangle =

- Area of a triangle = 4 units^2
In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:
- Area of the shaded figure = Area of the rectangle - Area of the triangle
- Area of the shaded figure = 24 units^2 - 4 units^2
- <u>Area of the shaded figure = 20 units^2</u>
I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.
Answer:
m<6 = 130°
Step-by-step explanation:
If m∠2 = 130°, what is m∠6?
Find the diagram attached
From the digram we can see that the vertical lines are parallel. Hence based on geometry;
m<2 = m<6 (corresponding angles)
Given m<2 = 130°, hence m<6 = 130°
Answer:
10x + 16
Step-by-step explanation:
Doing the distributive property, we get the answer 10x + 16.
Answer:
To Calculate the monetary value of both jobs, you would have to calculate the percent tax rate of each salary and add the nontaxable benefit after taxes.
Step-by-step explanation:
Reminder: since the 25% is a tax rate which we need to <u>subtract</u> from the salary, 75% would be what is left over from the salary after taxes.
<u>Job 1:</u> Job 1 pays a salary of $41,000 and $5,525 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.

<em><u>So the monetary value of Job 1 would be $36,275</u></em>
<u>Job 2:</u> Job 2 pays a salary of $40,400 and $7,125 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.

<em><u>So the monetary value of Job 2 would be $37,425</u></em>
Answer:
-207xy
Step-by-step explanation:
-6x^3 - 9xy + 18x
-216x -9xy +18x
-225xy + 18x
-207xy
If I'm not mistaken.