Answer:
30 and 60
Step-by-step explanation:
1. "The measure of angle is twice the measure of its complement" means that one angle is twice the amount of another angle, and when both of them are added together, they equal 90°.
2. 60 is twice the amount of 30, and when both of them are combined, they equal 90°.
Therefore, the answer is 30 and 60.
Answer: The price of each small box is $4.8 and the price of each large box is $10.8.
Step-by-step explanation:
Let x = Price of each small box, y= price of each large box.
As per given,
3x+2y= 36 ...(i)
4x+y= 30 ...(ii)
Multiplying 2 to (ii), we get
8x+2y =60...(iii)
Subtract (i) from (iii), we get
5x= 24
x= 4.8
From (ii)
4(4.8)+y= 30
19.2+y=30
y= 10.8
Hence, the price of each small box is $4.8 and the price of each large box is $10.8.
Answer:
then she only has eight pencils in the bag.
Step-by-step explanation:
Answer:
The smaller board would be 2.75 feet and the longer one would be 10.25 feet.
Step-by-step explanation:
In order to find this, assume the shorter board is equal to x. Next, we would know that the longer board would be equal to x + 7.5. Using these two assumptions, we can add the lengths together, set equal to 13 and then solve for x.
x + (x + 7.5) = 13
2x + 7.5 = 13
2x = 5.5
x = 2.75
Now that we have the length of the shorter board, we can add 7.5 to it to get the larger one.
2.75 + 7.5 = 10.25
Answer:
4x + 4
Step-by-step explanation:
F(x) = 2x - 1
G(x) = 3x + 2
H(x) = x²
We have to calculate the expression F(G(x)) - F(x)
F(G(x)) means the composition of functions F(x) and G(x). In order to find F(G(x)) we have to replace ever occurrence of x in F(x) with the value of G(x). So,
F(G(x)) = 2(3x+2) - 1 = 6x + 4 - 1 = 6x + 3
Thus,
F(G(x)) - F(x) = 6x + 3 - (2x - 1)
= 6x + 3 -2x + 1
= 4x + 4
Therefore, the expression F(G(x)) - F(x) equals 4x + 4
