The two angles shown are vertical angles. They form when you cross two lines. They are opposite one another. Note: They don't have to be vertically up and down in relation to each other. It's possible to have them horizontally side by side like this.
So because they are vertical angles, they are congruent. This means they are equal in measure
x+90 = 4x
x+90-x = 4x-x
90 = 3x
3x = 90
3x/3 = 90/3
x = 30
Therefore the answer is choice C) The value of x is x = 30
We can check it by plugging this into the original equation above
x+90 = 4x
30+90 = 4*30
120 = 120
our answer checks out
The geometric mean is defined as the nth root of the product of n numbers.
This means, you multiply all the numbers together
5×8=40
And then you take the nth root of that number. In this case, it's the square root, but if there were more numbers, like three or four, it would be the cube and fourth root, respectively.
√40 = 6.32455532
So, the geometric mean of 5 and 8 is 6.32455532
Answer:
(2,7)
Step-by-step explanation:
y=6x-5
y=x+5
Since they are both equal to y, set them equal to each other
6x-5 = x+5
Subtract x from each side
6x-x-5 = x+5-x
5x-5 = 5
Add 5 to each side
5x-5 +5 = 5+5
5x=10
Divide by 5
5x/5 = 10/5
x=2
y = x+5
y = 2+5
y =7
Answer:
71%
Step-by-step explanation:
All you have to do is divide 142 by 200 to get the percent, which is 70.
