Answer: 21
Step-by-step explanation: We are given that angle ABC is dilated with center P.
Scale factor=3
Angle A'B'C' is formed after dilation of angle ABC.
Dilation: when a figure is dilated by scale factor a then, the figure shape does not change.
After dilation, the size of figure changes.
The initial figure and the figure obtained after dilation are similar in shape.
When two figures are similar then , the angles of one figure are congruent to its corresponding angles in other figure and ratio of their corresponding sides are equal.
The measure of angle ABC=21'
After dilation by scale factor 3 then, the measure of angle A'B'C' remains=21'
Because the shape does not change in dilation transformation.
Answer:
f=60 , c=30
Step-by-step explanation:
there are 2f and 2c in the graph and f=2c
So
f+f+c+c=180
2c+2c+c+c=180
6c=180
c=180/6
c=30
f=2c
f=2×30
f=60
Answer:
For the column "Slope Intercept", the graph is displaying y = -7/2x + 3. Because the line is going down 7 units and to the right 2 units, and the 3 is the point in which the line crosses the y-axis.
For the "Standard" column, it will be
7x + 2y = 6, because that's what it would look like in standard form. (To turn it from standard to slope intercept form, remember you must first subtract 7x on both sides to get 2y = -7x + 6, and then divide by 2 on both sides to get
y = -7/2x + 3.)
For column "Point Slope", I just realized you are supposed to pick a point on the line and plug the coordinates into this formula:⤵⤵⤵
<em>This is the point-slope formula.⤵⤵⤵</em>

For example we'll use point (2,-4). Also, remember that coordinates are written as (x,y), and that m represents slope.
So we have: y - (-4) = -7/2(x-2).
In other words, "Point Slope" would be
y + 4 = -7/2(x-2).
By the way, sorry this is a bit long, and took a while to complete. I had to re-educate myself on point-slope. Anyways hope this helps, I tried :)
Rational:5,737…..
Irrational:9