Step-by-step explanation:
Hey there!
By looking at the figure, the given "2x" and "6x + 28" are co-interior angle.
So,
2x + 6x + 28 = 180°. ( sum of co-interior angle is 180°)
8x + 28°=180°
8x = 180° - 28°
8x = 152°
X = 19°
<u>There</u><u>fore</u><u>,</u><u> </u><u>X </u><u>=</u><u> </u><u>1</u><u>9</u><u>°</u><u>.</u>
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Exponential functions are in the form
, where <em>a</em> is the initial value, <em>b</em> is the growth rate (percent increase) + 1, and <em>x</em> is the number of time periods. Our initial value is 100, and we're given the growth rate + 1 (tripling is the same as increasing by 200%; 200%=2.0; 2.0+1=3). Therefore our function is
.
Answer:
f(x)=2x
Step-by-step explanation:
You can get your (a)term by finding rise/run, and there is no y-intercept so the (b)term is not known. Thus you get f(x)=2x.
When dilation is about the origin, as it is here in every case, the image point coordinates are the original (pre-image) coordinates multiplied by the scale factor.
1. Multiply every coordinate value by 5:
... W' = (-5, 10), X' = (-15, -5), Y' = (25, -5), Z' = (15, 10)
2. Multiply every coordinate value by 1/3:
... A' = (-2, 5), B' = (0, 5/3), C' = (1, 10/3)
3. A' = (2, 8), B' = (6, 2), C' = (2, 2)
4. The image coordinates are 5 times the original coordinates, so ...
... the scale factor of the dilation is 5.
6z - 4 = 60
6z = 64
z = 10.66666666666666 (repeating)
