The measure of first angle is 34 degrees and measure of second angle is 56 degrees
<em><u>Solution:</u></em>
Given that, the exterior sides of two adjacent angles make a right angle
Therefore, these adjacent angles forms 90 degrees
Let the second angle be "x"
The first angle has a measure that is six more than half the second
Therefore,
first angle = 6 + half of "x"
![\text{ first angle } = 6 + \frac{x}{2}](https://tex.z-dn.net/?f=%5Ctext%7B%20first%20angle%20%7D%20%3D%206%20%2B%20%5Cfrac%7Bx%7D%7B2%7D)
Since these two angles forms 90 degrees,
first angle + second angle = 90
![x + 6 + \frac{x}{2} = 90\\\\\frac{2x + 12 + x}{2} = 90\\\\2x + 12+x = 180\\\\3x + 12 = 180\\\\3x = 180 - 12\\\\3x = 168\\\\x = 56](https://tex.z-dn.net/?f=x%20%2B%206%20%2B%20%5Cfrac%7Bx%7D%7B2%7D%20%3D%2090%5C%5C%5C%5C%5Cfrac%7B2x%20%2B%2012%20%2B%20x%7D%7B2%7D%20%3D%2090%5C%5C%5C%5C2x%20%2B%2012%2Bx%20%3D%20180%5C%5C%5C%5C3x%20%2B%2012%20%3D%20180%5C%5C%5C%5C3x%20%3D%20180%20-%2012%5C%5C%5C%5C3x%20%3D%20168%5C%5C%5C%5Cx%20%3D%2056)
<em><u>Therefore, first angle is:</u></em>
![\rightarrow 6 + \frac{56}{2} = 6 + 28 = 34](https://tex.z-dn.net/?f=%5Crightarrow%206%20%2B%20%5Cfrac%7B56%7D%7B2%7D%20%3D%206%20%2B%2028%20%3D%2034)
Thus measure of first angle is 34 degrees and measure of second angle is 56 degrees
Answer:
y=3x-4
Step-by-step explanation:
Slope intercept form is :
y=mx+b
where m is the slope, and b is the y intercept.
We are given the slope, it is 3. we are also given the y intercept, it is (0,-4). For this form, the 0 in (0,-4) is ignored, and we consider the y intercept to be -4.
So, m is 3, and b is -4. Substitute the values into the equation
y=3x+ -4
y=3x-4
So, the equation in slope intercept form is
y=3x-4
Answer:
run / rise =5/1
Step-by-step explanation:
The run is 5 and the rise is 1