The measure of one acute angle of a right triangle is 12 more than 3 times the measure of the other acute angle. Find the measur
1 answer:
The sum of the two acute angles is 90 degrees. Set this up in the form of the following equation.
We know this because the two angles are x and 3x + 12.
From here you just need to solve.
, or 19.5
This is the measure of one angle. The measure of the other angle is therefore, after a few calculations, 70.5.
19.5 degrees, 70.5 degrees.
We know this because the two angles are x and 3x + 12.
From here you just need to solve.
This is the measure of one angle. The measure of the other angle is therefore, after a few calculations, 70.5.
19.5 degrees, 70.5 degrees.
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The highest rate on increasing is of 12x -6y = -24; Option B is the correct answer.
The options are given in the image attached with the answer
<h3>What is a Function ?</h3>A function is a law that relates a dependent variable and an independent variable.
It is asked among the options given , which is increasing at the highest rate.
To increase at a rate , the value of the slope , m should be > 0
For the Option 1
for a straight line function , the slope is given by
m = ( y₂ -y₁)/(x₂-x₁)
m = ( -3 -3)/(2- (-1)) = -6 /3 = -2
Therefore the function is decreasing
For Option 2
12x - 6y = -24
-6y = -12x -24
y = 2x +4
m = 2 (increasing)
For option 3
m = (-4 + 5)/(2-1) = 1
For Option 4
(8,0) (0,-4)
m = (-4 -0) /(0-8) = 4/8 = 1/2
The highest rate on increasing is of 12x -6y = -24
Therefore Option B is the correct answer.
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