Answer:
Step-by-step explanation:
<u>A and B are same side interior angles and hence supplementary:</u>
<u>Substitute values and solve for x:</u>
- 6x - 18 + 14x + 38 = 180
- 20x + 20 = 180
- 20x = 160
- x = 160/20
- x = 8
<u>Find the measure of ∠A:</u>
You must do to the left hand side what you do to the right hand side.
We just want to get only A on the LHS and how much A is on the RHS.
A + 24 - 24 = -15 - 24 // we get rid of the +24 to only leave A and we do it on the other side because we always do that
A = -39
Answer:
13
Step-by-step explanation:
Since x is squared, the inverse operation would be square root. So, the square root of 169 is 13.
P'Q'R'S' is the refection of PQRS in the y-axis.
So they are the same shape ( similar).
It's B.
Answer:
(x, y ) = (3 , - 4 )
Step-by-step explanation:
given the 2 equations
2x - 3y = 18 → (1)
4x + y = 8 → (2)
multiply (2) by 3
12x + 3y = 24 → (3)
add (1) and (3) term by term to eliminate the term in y
(2x + 12x) + (- 3y + 3y) = (18 + 24)
14x = 42 ( divide both sides by 14 )
x = 3
substitute x = 3 in (1) or (2) to evaluate for y-coordinate
(2) → 12 + y = 8 ⇒ y = 8 - 12 = - 4
solution is (3, - 4 )
