Answer:
1st ∡ = 15.5°
2nd ∡ = 77.25°
3rd ∡ = 87.25°
Step-by-step explanation:
1st ∡: x
2nd ∡: y
3rd ∡: z
Equations we can create from data given in problem:
y + z = 5x
z = 5x + 10
We have enough expressions to create an equation:
x + 5x + 5x + 10 = 180
11x = 170
x = 15.5
y = 5(15.5) = 77.25
z = y + 10 = 87.25
Answer:
domain (−∞,∞)
range (−∞,∞)
n = 40 and it refers to the fact that after delivering 40 newspapers, there will be no paper left in the bag
Step-by-step explanation:
To find the zero, we equate the linear equation to zero
w = 30 - 3n/4
3n/4 = 30
3n = 120
n = 120/3
n = 40
What this mean in this context is that the the bag becomes empty after he has delivered 40 newspapers or we can say that the maximum number of papers the bag can take is 40
The range refers to the number on the y-axis
Here the range is (−∞,∞)
The domain refers to the x axis values
We have (−∞,∞)
Let the acute angle be 2x.
Its complement is 90 - 2x.
It is given that this complementary angle is less than each of the bisected angle.
Therefore, 90 - 2x < x
90 < 3x
or, x > 30.
2x > 60
Therefore, the statement is true for all angles that are greater than 60 degrees.
Yes. since half of 50 is 25 it is correct to say that 18 is less than half
For this case we have the following equation:
y = 150 * (1.06) ^ t
For the first month we have:
y = 150 * (1.06) ^ 1
y = 159 $
For the second month we have:
y = 150 * (1.06) ^ 2
y = 168.54 $
For the third month we have:
y = 150 * (1.06) ^ 1
y = 178.65 $
Answer:
d. $ 159.00 + $ 168.54 + $ 178.65
