Answer:
Using properties of parallelogram and angle sum property of a triangle in the figure as shown below in the attachment
In parallelogram ABCD, AC is a diagonal.
Given:
and
As, we know that opposite angles in parallelogram are equal.
therefore,

Now, in ΔADC
Sum of the measures of angles in a triangle is 180 degree.

Substituting the values of
and
we have;
or

Subtract
from both sides we get

Therefore, the measure of angle CAD is
.
Answer:
5. r(x) is f(x) translated down 16 units
7. g(x) is f(x) vertically scaled by a factor of 2/5
Step-by-step explanation:
5. Adding a number to a function value translates that value up by the amount of the number. If the number is negative, the translation is downward. Adding -16 to x^2 translates the graph down 16 units.
___
7. Multiplying a function value vertically scales the graph of the function by the multiplying factor. For factors greater than 1, the result is a vertical expansion; for factors less than 1, the result is vertical compression. Here, the function f(x) = x^2 is multiplied by 2/5, so the resulting g(x) is vertically scaled by a factor of 2/5 (compressed).
For a parabola, the effect is to make the graph appear "wider." Values some distance from the line of symmetry that would have been vertically off the page now appear on the page. Hence, the horizontal extent of the graph on the page has increased.
<em><u>16/4+12 ? 24/2</u></em>
<em><u>4+12 ? 12</u></em>
<em><u>16 ? 12</u></em>
<em><u>?=></u></em>
<em><u>ANSWER: A - ></u></em>
It could represent Range or domain
Answer:
if i subtract 3/8 with 2/5 i get 1/40
Step-by-step explanation:
i dont know if this is correct but it seems so