126k views
0 votes
Options are:

X=2, y=3

X=3, y=2

X= -2, y=3

X=4, y=8

Options are: X=2, y=3 X=3, y=2 X= -2, y=3 X=4, y=8-example-1
User Gsiener
by
7.1k points

2 Answers

2 votes

Answer:

x = 4, y = 8

Explanation:

For the triangles to be congruent by the HL theorem

Then the hypotenuse and legs must be congruent , that is

x + 1 = y - 3 → (1)

2x - 5 = y - 5 → (2)

Subtract (1) from (2) term by term to eliminate y

2x - x + (- 5) - 1 = y - y + (- 5) - (- 3) , that is

x - 6 = - 2 ( add 6 to both sides )

x = 4

Substitute x = 4 into either of the 2 equations and solve for y

Substituting into (1)

4 + 1 = y - 3

5 = y - 3 ( add 3 to both sides )

8 = y

User Nadir Sampaoli
by
7.8k points
4 votes

Explanation:

2x - 5 = y - 5

2x = y

x = y/2

y - 3 = x + 1

Substitute the value of x here,

y - 3 =
\rm{(y)/(2) + 1}

y - 3 =
\rm{(y + 2)/(2)}

2y - 6 = y + 2

y = 8

Now, x = 8/2

x = 4

So, go for D part, it is the correct answer.

Good Night/Day !

User Shimrod
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories