<span>Terry earned $3814 in gross pay over the last 2 weeks. How much income tax will be withheld from his paycheck this pay period? Use the table to answer the
</span>
22,884
It is B, rectangle. Sort of sideways.
Answer:Walnuts cost $1.25 and chocolate chips cost $3.25
Step-by-step explanation: Make walnuts x and chocolate chips y.
3x+5y=20
6x+2y=14
Multiply the first equation by 2 and then subtract it from the second.
-(6x+10y=40)
6x+2y=14
-8y=-26
y=3.25
Plug y back into either equation and isolate x to solve for x.
6x+2(3.25)=14
6x+6.5=14
6x=7.5
x=1.25
First we define the variables:
m = multiple choice questions
s = short answer questions
Next we need to satisfy 2 conditions:
1) There are a total of 40 questions. We can represent this mathematically using the variables I defined:
2) The multiple-choice questions are worth 2 points and the short-answer are worth 4 points but they need to total 100 points. This can also be represented mathematically:
By satisfying the conditions provided we were able to create the 2 equations!
Answer:
Step-by-step explanation:
I am assuming that by "interior" angle you do not mean the central angle.
This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.
Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:
180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.
