A pair of angles, which are either adjacent or non-adjacent, whose sum is 90 degrees, is classified and known as Complementary Angles. Complementary Angles are made from adjacent or non-adjacent angles, when added to together, their sum is equal to 90 degrees.
<span>4x + 1 = 6x - 2, Prove: x = 3/2
-4x =-4x
1 =2x-2
-1 =-1
0 =2x-3
0 =2x+(-3)
2/3=2/3
</span><span>3x - 4 = 2(x + 8), Prove: x = 20
3x- 4 =2x+16
+4 =+4
3x =2x+20
-2x =-2x
1x =20
</span><span>
</span>
Answer:
5/9
Step-by-step explanation:
red pair + blue pair / all pair
So,
All we have to do is multiply. But first, we need to convert all mixed numbers into improper fractions.
![1 \frac{3}{4} --\ \textgreater \ \frac{7}{4}](https://tex.z-dn.net/?f=1%20%20%5Cfrac%7B3%7D%7B4%7D%20--%5C%20%5Ctextgreater%20%5C%20%20%20%5Cfrac%7B7%7D%7B4%7D%20)
Now we multiply.
![\frac{2}{3} * \frac{7}{4} = \frac{14}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20%2A%20%20%5Cfrac%7B7%7D%7B4%7D%20%3D%20%20%5Cfrac%7B14%7D%7B12%7D%20)
![\frac{2*7}{2*2*3} --\ \textgreater \ \frac{7}{2*3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%2A7%7D%7B2%2A2%2A3%7D%20--%5C%20%5Ctextgreater%20%5C%20%20%20%5Cfrac%7B7%7D%7B2%2A3%7D%20)
![\frac{7}{6}\ or\ 1 \frac{1}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B6%7D%5C%20or%5C%201%20%5Cfrac%7B1%7D%7B6%7D%20)
The correct answer is A.
when you get this kind of exercise, you just need to check which equations resemble the graph
A. y= 6-4x
y= -4x+6
B. y= -4x+8-2
y= -4x+6
C. y= -4x-8-1
y= -4x-9
D. y= -4x+6
-> A, B and D are the same equations
-> the easiest way to find which graph is correct (A/B/D OR C), is to create the graph yourself using the drawn graph:
y= ax+b
a= negative (the line goes down)
to find the a you go 1 step to the left and look which point of the graph has the same x. in this exercise it's when y=4
a=-4
b= the y-coordinate of the point where the graph cuts the y-axis.
b=6
-> graph shown in picture is y= -4x+b
-> graph A/B/D is correct
-> C is does not represent this line