Multiply both sides of the equation by 20. 2z-3-5(z-6)=60. 2z-3-5z+30=60. -3z-3+30=60. -3z+27=60. -3z=60-27. -3z=33. Divide both sides by 3. Answer is: Z= -11
Answer:
cos 60° = one half because the angles are complements
Step-by-step explanation:
the length of SR is
.
<u>Step-by-step explanation:</u>
Here we have , On square PQRS below, if Q is located at (7,0) and R is located at (5,-8) . We need to find Length of side SR . Let's find out:
We know that , In a square there are 4 sides , and length of every side is same . So side length of SR = side length of QR . Now , Let's find side length of QR .
We know that distance between two points
given by :
⇒ 
Two points given are
:
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
But QR=SR , Therefore , the length of SR is
.
For 11, we can subtract x from both sides for the first equation to get y=8-x, making the slope -1 for both equations and therefore making it parallel.
For 13, we can solve for y in the first equation by subtracting 14 from both sides and therefore getting 2x-14=y. For the next one, we can subtract 4x from both sides to get 10-4x=2y. Dividing both sides by 2, we get 10-2x=y. Since for the equations to be parallel they must be the same and for perpendicular they must be -1/(slope), this fits neither.
Using those two explanations, I implore you to solve the other two on your own!