Answer:
55° and 125°
Step-by-step explanation:
Formulate an equation x + (x+70) = 180
Combine like terms to get 2x + 70 = 180
Subtract 70 on both sides to get 2x = 110.
Divide both sides by 2 to get x = 55.
Add 70 to 55 to get 125.
Check your answer by adding 55 + 125. It equals 180, so the angles are equal to 55 and 125.
Line y=mx+b has point (0,b).
If you've got poind (0,4) - you can write, that b=4.
So this is line y=mx+4
Now slope. You've got point (1,0), so for x=1, y=0. Substitute:
m * 1 + 4 = 0
m+4 = 0
m=-4
So equation of this line is: y=-4x+4
The LCD is 42 because that is the least number that they both are factors of.
Hope this helps :)
Answer:
The image of p is (2.5x , 2.5y)
Step-by-step explanation:
* Lets talk about dilation
- A dilation is a transformation that changes the size of a figure.
- It can become larger or smaller, but the shape of the
figure does not change.
- The scale factor, measures how much larger or smaller
the image will be
- If the scale factor greater than 1, then the image will be larger
- If the scale factor between 0 and 1, then the image will be smaller
* In our problem
- Point p is (x , y)
- Center of dilation is (0 , 0)
- The scale factor is 2.5
* To get the image multiply each coordinates of p by 2.5
∴ The image of p is (2.5x , 2.5y)