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3 years ago

/ is a diagonal of square ABCD. If /, find x.

1 answer:

5 0

Given a diagonal of a square, /, we are asked to find x. Assuming that x is the length of one side of the square, we can establish a relationship between the diagonal and the side. Illustrate a square and a diagonal drawn across sides:

The result is two right triangles. If x is the length of one side, the two legs of the triangle is x and x. Therefore, the diagonal is the hypotenuse. Expressing / in terms of x:

/^2 = x^2 + x^2
/^2 = 2x^2
/ = √2 x

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3 years ago

Sam scored 43, 48, and 42 points on three tests. How many points should he get on the fourth test to get an average score of 50?

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3 years ago

find the values of x and y that make these triangles congruent by the hl theorem x=2,y=3 x=-2,y=3x=3,y=2x=4,y=8

AnnyKZ [126]

Answer:

The correct option is x=3 , y=2

Step-by-step explanation:

According to the HL theorem 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.

By using this theorem we can set up the system of equations as follows:

x=y+1 ...(1)

2x+3= 3y + 3 ..(2)

Now we will plug the value y+1 of equation 1 in equation 2.

2x+3 = 3y+3

2(y+1)+3=3y+3

2y+2+3=3y+3

2y+5=3y+3

Now combine the like terms:

5-3=3y-2y

2=y

y=2

Now plug the value y=2 in equation 1.

x=y+1

x=2+1

x=3

Thus the values of(x.y) are{(2,3)}

Therefore the correct option is x=3 , y=2 .....

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