Answer:
108 degrees
Step-by-step explanation:
Since angles A and B are supplementary, they both add up to 180. Angle A = 7x+10, and angle B = 7x-26. You can set up the equation A + B = 180, and then plug in angles A and B, which gives you 7x+10 + 7x-26 = 180. Then you just need to isolate x:
Combine like terms: 14x - 16 = 180
Add 16 to both sides: 14x = 196
Divide both sides by 14: x = 14
Now that you know x, you can plug it into the expression for angle A (7x+10):
A = 7(14) + 10 = 98+10 = 108
Answer:
6/36 as simplified as 1/6
Step-by-step explanation:
The value of a is 80
Step-by-step explanation:
The distance of a point
from the y-axis can be written as

because the x-coordinate of the y-axis is zero.
Similarly, the distance of a point
from the x-axis can be written as

Since the y-coordinate of the x-axis is zero.
In this problem:
- The distance of the point A (−30, −45) from the y-axis can be written as

- The distance of point B (a,a) from the x-axis can be written as

Since
.
We are told that 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), which means

Therefore,

And solving for a,

Learn more about distance:
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