Parallel lines have the same slope. The slope of y = -1/3 x + 4 is -1/3.
The equation is
(y - 5) = -1/3 (x - 6)
y = -1/3 x -1/3 (- 6) + 5 = -1/3 x + 2 + 5 = -1/3 + 7
The equation is: y = - 1/3 x + 7
y = -1/3 x
Answer:
x>=35
Step-by-step explanation:
-4(x+10)>= -7x + 65
-4x-40>= -7x+65
-4x+7x>=65+40
3x>=105
x>=105/3
x>=35
Answer:
<M = <S
Step-by-step explanation:
If ΔMNO ≅ Δ SQR then
<M = <S
supplementary angles add up to 180°.
x = measure of such angle
x + 20 = measure of her sibling.
since "x" has 20 less than her sibling, then clearly her sibling has to have 20 more than "x".

There are two ways to work this out: normal variables or using "imaginary" numbers.
Normal variables:
![(7+2i)(3-i)\\(7*3)+[7*(-i)]+(3*2i)+[2i*(-i)]\\21-7i+6i-2i^{2}\\\\21-i-2i^{2}](https://tex.z-dn.net/?f=%20%287%2B2i%29%283-i%29%5C%5C%287%2A3%29%2B%5B7%2A%28-i%29%5D%2B%283%2A2i%29%2B%5B2i%2A%28-i%29%5D%5C%5C21-7i%2B6i-2i%5E%7B2%7D%5C%5C%5C%5C21-i-2i%5E%7B2%7D)
Imaginary numbers:
Using the result from earlier:

Now since

, then the expression becomes: