Answer:
(2, - 1 )
Step-by-step explanation:
3x - y = 7 → (1)
2x + 3y -= 1 → (2)
multiplying ( 1) by 3 and adding to (2) will eliminate y
9x - 3y = 21 → (30
add (2) and (3) to eliminate y
11x = 22 (divide both sides by 2 )
x = 2
substitute x = 2 into either of the 2 equations and solve for y
substituting into (2)
2(2) + 3y = 1
4 + 3y = 1 (subtract 4 from both sides )
3y = - 3 ( divide both sides by 3 )
y = - 1
solution = (2, - 1 )
Answer:
The answers are given below.
Step-by-step explanation:
7. EFGH is a rectangle. Slope of HE is 
So, the slope of EF is 
= 
8 .PQRS is a square.
So, m∠QSR = 45°
[since the diagonals bisect the internal angles of a square]
9. m∠PTQ = 90°
[since the diagonals of a square intersect each other at right angles]
10. RT = 24 unit ,
so,
PR =
unit
= 48 unit [since the diagonals of a square bisect each other]
So, SQ = PR = 48 unit
[since the diagonals of a square are equal]
11. Yes, a squae is a rectangle
12. Since RSTU is a rectangle,
so, ∠RUS + ∠SUT = 90°
⇒3x + 6 + 5x - 4 = 90°
⇒x = 11°
So, ∠RUS = 3x + 6 = 39°
They are congruent is the answer
It’s option a. The question is a bit tricky because you’re given the image and asked to find the pre image.