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Firlakuza [10]
3 years ago
7

Let n be an integer in the conditional statement below.

Mathematics
1 answer:
statuscvo [17]3 years ago
5 0

Answer:

The hypothesis is:   "The last digit of n is zero."

The conclusion is:   "n is divisible by five."

The converse is:   "If n is divisible by five, the the last digit of n is zero."

The contrapositive is:   "If n is not divisble by five, then n does not end in zero."

Step-by-step explanation:

I just took the test :)

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Find the values of x and y that make these triangles congruent by the HL Theorem.
RideAnS [48]

According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.

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

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By using equation (1) next step is to plug in y+1 for x in equation (2). So,

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

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2y + 5 = 3y + 3

2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.

2y = 3y - 2

2y - 3y = -2 Subtract 3y from each sides.

-y = -2

So, y=2

Next step is to plug in y=2 in equation (1) to get the value of x. Hence,

x= 2+1

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So, x=3 and y=2 make these triangles congruent.

So, the correct choice is 3. x = 3, y = 2.

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Can someone please explain to me how to calculate this?
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Step-by-step explanation:

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