Answer:
The measure of angle x is 25 degrees.
Step-by-step explanation:
Since triangle ABC is an isosceles triangle, the measure of angle BAC is equal to the measure of angle ACB. Angle ABC = 80 degrees, leaving 100 degrees to be divided equally for the measures of the other two angles. Now that you know that angle ACB = 50 degrees, you can calculate the value of angle ACD and determine that angle ACD = 130 degrees. Triangle ACD is also an isosceles triangle, and the two equal legs are AC and CD. Since angle ACD = 130 degrees, the other two angles have a total of 50 degrees. Splitting the 50 degrees equally between the two angles gives you 25 degrees as the value of angle CAD, which is labeled "x."
Answer:
g(x) has an axis of symmetry at x = 3.
g(x) is shifted right 3 units from the graph of f(x)
g(x) is shifted up 4 units from the graph of f(x).
Step-by-step explanation:
The parent function is:
The transformed function is .
This new function can be rewritten in the vertex form as:
This function is obtained by shifting the parent function 3 units right and 4 units up.
The axis of symmetry is x=3;(x=h) and h=3.
There is no horizontal stretch or compression.
The new function is however reflected in the x-axis
3.6 * 10^(-3) is the scientific notation
Answer:
9
11
17
25
Step-by-step explanation:
Input the x into the equation
Answer:
$50.08
Step-by-step explanation:
We use x to represent the price of the cheapest hat. Since the more expensive hat is twice the price of the cheaper one, we use 2x to represent it. Therefore x + 2x, or 3x, equals $75.12. Divide 75.12 by 3 to find x, which is 25.04. The more expensive hat is 2x, so we must multiply 25.04 by 2 to find the price of the more expensive hat.