Find the values of x and y that make these triangles congruent by the hl theorem

Option C x=2, y=6

Step-by-step explanation:

we know that

The hypotenuse leg theorem, (HL theorem), states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent

so

In this problem

Equate the hypotenuses of both right triangles

x+3=y-1 > x=y-4 > equation A

Equate the legs of both right triangles

y-3=2x-1 > equation B

substitute equation A in equation B and solve for y

y-3=2(y-4)-1

y-3=2y-8-1

2y-y=-3+9

y=6

Find the value of x

x=y-4 > x=6-4=2

therefore

x=2, y=6

you ignore the remainder, therefore the answer is y = x+2

step-by-step explanation:

you have to divide the denominator by the numerator. you can use synthetic division or long division.

[-5] .     1 .     7 .     11

x + 2 + 1/x+5

110698.56 square miles

step-by-step explanation:

multiply 3.8 by 102

387.6

multiply 2.8 by 102

285.6

multiply those two to get