Answer:
Step-by-step explanation:
Use vertical angles to help solve the problem. Angles that are across from each other are congruent. For exmaple, <2 = 85 degrees because the angle across from it is 85 degrees. I assume angle 1 is 95 degrees, so angle 3 would also be 95 degrees.
Answer:
Dilation factor = 0.75.
Step-by-step explanation:
One point on the xy-plane is (-24,-12). The transformation is the dilation which is done on the point and the image is given by (-18,-9). Dilation changes the size of the shape according to the dilation factor. If the original x-coordinate is -24, then the image will be calculated by multiplying the original point with the dilation factor. Therefore, -18= -24 * k, where k is the unknown dilation factor. Simply solve the equation for k.
24k = 18.
k = 18/24 = 3/4 = 0.75.
Similarly, 12k = 9. k = 9/12 = 3/4 = 0.75.
So the point (-24,-12) dilated by k=0.75 to get to (-18,-9)!!!
Answer:
y = 1x + 2
Step-by-step explanation:
To fill in slope intercept form(y = mx + b) identify the initial value(b) and slope(m).
The initial value is the y coordinate when the x coordinate is 0. It is also known as the point where the line crosses the y axis. This point on the graph is (0, 2). So, the initial value is 2.
Slope is identified by finding a point on the graph that the line passes through and creating a right triangle to a point that is even with both point. Then, divide the y coordinate of that point by its x coordinate. One coordinate you could use is point (-2, 2). 2 divided by -2 is -1. But, since the line has a positive association, the slope is going to be a positive number. So, the slope is 1.
Now fill in the the slope intercept form.
y = mx + b ---> y = 1x + 2
Answer:
a.
b. 20
c. 
Step-by-step explanation:
a. 58 of 78 are from state A
b. 78 minus 58 equals 20
c. 20 of 78 are found in states other than state A
