D would be the answer.Since you are adding the sum first hence the parentheses.
Answer:
2 quarters and 5 dimes
Step-by-step explanation:
(2) 25 cent coins = 50 cents
(5) 10 cent coins = 50 cents
equals $1
Answer:
Dilation followed by Translation.
Step-by-step explanation:
We have the function
.
The new transformed function is 
Now, the transformation applied to f(x) to obtain g(x) are:
1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.
Since, we are dilating the given function by 2 units, the new dilated function becomes
.
2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.
As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes
.
Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.
The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.
In this case, the angle is subtended by an arc measuring 180°. So
(4x + 6)° = 1/2 • 180°
4x + 6 = 90
4x = 84
x = 21