Answer:
x=12
Step-by-step explanation:
The two angles shown are complementary angles, so the add to 90 degrees
x+42 + 3x = 90
Combine like terms
4x+42 = 90
Subtract 42 from each side
4x+42-42 = 90-42
4x = 48
Divide by 4
4x/4 = 48/4
x = 12
Changing the 30 to 10 is a 20 unit drop ( 30-10=20)
so the line would shift vertically down by 20
<span>The line will shift vertically down by $20.</span>
Answer:
The nominal GDP growth rate between 1998 and 2018 was 126.20 percent.
Step-by-step explanation:
Given that in 1998 the country's GDP was $ 9,063 and in 2018 it was $ 20,501, to determine the nominal growth rate of the nation's GDP, the following calculation must be made:
9,063 = 100
20,501 = X
((20,501 x 100) / 9,063) = X
2,050,100 / 9,063 = X
226.20 = X
226.20 - 100 = 126.20
Therefore, the nominal GDP growth rate between 1998 and 2018 was 126.20 percent.
Answer: 
Step-by-step explanation:
<h3>
The exercise is: "To visit his grandmother, Michael takes a motorcycle 3.85 kilometers and a horse 3.32 kilometers. In total, the journey takes 50.54 minutes. How many kilometers is Michael's journey in total?"</h3>
To solve this exercise you must pay attention to the data given.
According to the information provided in the exercise, Michael's journey is divided into two parts:
Part 1:
(Traveling in a motorcycle)
Part 2:
(Traveling in a horse)
Based on the given data, you can conclude that the the total distance in kilometers of Michael's journey to the house to his grandamother, is the sum of those distances (
and
)
Therefore, you need to add them in order to solve the exercise.
So, You get that the result is:
Answer:
The equivalent function: 
Step-by-step explanation:
The x-intercepts of the given function on the graph can be obtained by equating the function to zero.
This is because on the x-axis, the y-coordinate is zero.

The function that has the same x-intercepts on the graph from the given options is:

Alternate Method:
The answer can also be obtained by factorizing the question.