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Alex
3 years ago
9

Options are: X=2, y=3 X=3, y=2 X= -2, y=3 X=4, y=8

Mathematics
2 answers:
enot [183]3 years ago
7 0

Answer:

x = 4, y = 8

Step-by-step 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

trapecia [35]3 years ago
5 0

Step-by-step explanation:

2x - 5 = y - 5

2x = y

x = y/2

y - 3 = x + 1

Substitute the value of x here,

y - 3 = \rm{\dfrac{y}{2} + 1}

y - 3 = \rm{\dfrac{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 !

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3 years ago
Solve for x: 3(x + 1)=2(x - 1)
blagie [28]

Answer:

x=-5

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3(x + 1)=2(x - 1)

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10 1/2 cups.

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Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (4, 4, 7) and use it to approximate the number 4.022
miss Akunina [59]

Answer:

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Step-by-step explanation:

L\left( x \right) = f\left( a \right) + f'\left( a \right)\left( {x - a} \right)

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Since we have three variables,

L(x, y,z) = f(a, b,c) + f_x (a, b,c) (x - a) + f_y (a, b,c) (y - b) +f_z(a,b,c)(z-c)

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f(4.02, 3.99, 6.97) =81+ 8(4.02 - 4) + 8 (3.99 - 4) +14(6.97-7)=80.66.

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3 years ago
What is 34.5 divided by 4
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8.625
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