<span> 1.5(0.8x-1.2) = 0.2x+1.2
1.2x-1.8=0.2x+1.2
+1.8 +1.8
1.2x=0.2x+3
</span>
1.2x=0.2x+3
-0.2x -0.2x
x=3
Supplementary angles by definition means the sum is 180.
From that knowledge we can write up some equations.
Let angle 1 = x, and angle 2 = y
x + y = 180
"The larger of two supplementary angles measures 20° less than four times the measure of the smaller angle"
(Let x be the larger angle)
x+20 = 4y
Since there are two different equations, and two variables, this means we have a set of simultaneous equations.
We can solve this via the substitution method or the elimination method.
I choose to solve it via the substitution method cause of personal preference.
x + y = 180 => x = 180- y
x+20 = 4y => x = 4y - 20
Make them equal each other..
180 - y = 4y - 20
200 = 5y
40 = y
Now that we know y we can sub it into any equation to find x
x + 20 = 4y
x + 20 = 4(40)
x + 20 = 160
x = 140
So the angles are 40° and 140°
X² + ((1.5x + 3) - 3)² = 16
<span>x² + (1.5x)² = 16 </span>
<span>x² + 2.25x² = 16 </span>
<span>3.25x² = 16 </span>
<span>x = 8√(13)/13 </span>
<span>x ≈ 2.219 </span>
<span>and so </span>
<span>y = 1.5(8√(13)/13)+ 3 </span>
<span> ≈ 6.328 </span>
<span>so </span>
<span>(2.219, 6.328) </span>
The two angles are supplementary.
6x + 4 + 10x = 180
16x + 4 = 180
16x = 176
x = 11
Hope this helps :)
Answer:
<u>Option 3</u> satisfies the equation y = -2x + 1.
Step-by-step explanation:
7 = -2*-3 + 1 makes sense
-5 = -2*3 + 1 also makes sense
-9 = -2*-9 + 1 is correct
Have a nice day!
