Answer:
See explanation
Step-by-step explanation:
Let be the coordinates of the point which has to be dilated with the scale factor of
with the center of dilation at point
(the origin).
The dilation with the scale factor and the center of dilation at the origin has the rule
So, you have simply to multiply each coordinate of the point by to get the image's coordinates.
Answer:
62°
Step-by-step explanation:
Given that the triangle has two angle measures of 41° and 77°.
All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:
Let x = the missing measure
Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation:
Then we subtract 118 from both sides to isolate x - this will give us the value of this variable:
Therefore, the third angle must have a measure of 62°.
Answer:
5
Step-by-step explanation:
We are asked to find the value of A. We know from the question that we need to have the sum of -3x and (A)x equal the third term of the original polynomial, which is 2x. written out in an equation, it looks like this.
We can simplify the equation if we add 3x to both sides, which then leaves us with this.
We can further simplify the equation by dividing both sides by x. This leaves us with our last equation for this problem.
Finally, we have our answer. We can also verify that this is a valid integer by multiplying our, now completed, quotient by the divisor and adding the remainder, which in this case, our remainder is 0, so we will not be including it in our operation.
If our calculations were all correct, the product of these polynomials should equal our dividend, verifying our integer is valid; lo' and behold, it is.
