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atroni [7]
3 years ago
9

Prove that if AC=DF and AB=DE then BC=EF

Mathematics
1 answer:
Step2247 [10]3 years ago
8 0
In triangle ABC and DEF
AC =DF, [ given ]
AB =DE, [ given ]
angle A = angle D
by SAS
ABC congruent to triangle DFE
so
BC = EF, [ CPCTC]
hence proved
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Suppose x, y and z are integers. Prove that, if 3x−y + 5z is even, then at least one of x, y or z is even.
Elden [556K]

Given:

x, y and z are integers.

To prove:

If 3x-y+5z is even, then at least one of x, y or z is even.

Solution:

We know that,

Product of two odd integers is always odd.          ...(i)

Difference of two odd integers is always even.          ...(ii)

Sum of an even integer and an odd integer is odd.      ...(iii)

Let as assume x, y and z all are odd, then 3x-y+5z is even.

3x is always odd.          [Using (i)]

5z is always odd.          [Using (i)]

3x-y is always even.       [Using (ii)]

(3x-y)+5z is always odd.       [Using (iii)]

3x-y+5z is always odd.

So, out assumption is incorrect.

Thus, at least one of x, y or z is even.

Hence proved.

4 0
3 years ago
Which of the following does NOT represent a function?
ser-zykov [4K]

Answer:

c

Step-by-step explanation:

because a function has no repeating x values. and 5 repeats

5 0
3 years ago
Read 2 more answers
Can someone help me please this is due tomorrow
anzhelika [568]

Answer:

1. (2/3, -2)

2. (-3/2, 3)

3. (9/4, 3)

4. (4/5, -1)

5. (doesn't show the question, ill answer if u tell me what it is)

6. (4/3, 4)

7. (-3, 3/2)

8. (-2, 3)

9. (3, -2)

10. (doesn't show the question, ill answer if u tell me what it is)

Step-by-step explanation:

I'm a master at graphing :3. Also just if you forgot or don't know it's like (x, y). Hope I helped :)

8 0
3 years ago
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kykrilka [37]

Answer:

infinite solutions

Step-by-step explanation:

Hello!

Since 3r - 5 is on both sides of the equation we can put any number in for r and it would still be true so the answer is infinite solutions

The answer is infinite solutions

Hope this helps!

5 0
3 years ago
The number of calories is correlated with the amount of vitamin c
Elza [17]

Step-by-step explanation:

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vitamin C

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4 0
3 years ago
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