Answer:
A, D
Step-by-step explanation:
Put x = 6 in equations and resultant is 12.
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Answer:
- x +3x = 180
- x = 45 . . . . . . . choice C
- 3x = 135 . . . . . choice F
Step-by-step explanation:
Let x represent the measure of the original angle in degrees. Three times its measure is 3x. That will be the supplement if the sum of the two angles is 180°.
x + 3x = 180 . . . . . . . . . equation for finding the angle
x = 180/4 = 45 . . . . . . divide both sides by 4
3x = 3(45) = 135
The first angle is 45°. The second angle is 135°.
Answer:
Both and are solutions to the system.
Step-by-step explanation:
In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.
Step 1: Plug into
The solution verifies the equation.
Step 2: Plug into
The solution verifies both equations. Therefore, is a solution to this system.
Now we must check if the second point is also valid.
Step 3: Plug into
Step 4: Plug into
The solution verifies both equations. Therefore, is another solution to this system.
Answer:
Answer: The answer is option B.
Step-by-step explanation:
Here,
We have,
So, it's true; and it lies in quadrant 1 and 4.
The reason according to the "CAST" rule cos theta is in 1st and 3rd quadrant cos theta is positive.
Complete question :
The sugar maple tree in Joshua's yard is 1/4 the age of the oak tree in his yard. The sugar maple tree is 20 years old. How old is the oak tree?
Answer:
80 years
Step-by-step explanation:
Given that :
Sugar maple tree = 1/4 age of oak tree
Age of sugar maple tree = 20
Age of oak tree = x
20 = 1/4 * x
20 = x / 4
Multiply both sides by 4
20 * 4 = (x / 4) * 4
80 = x
Hence, Age of oak tree = 80 years