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3 years ago

Write a two-column proof. Given: Quadrilateral GKJH is a parallelogram Prove: △GLH ≅ △JLK

Mathematics

1 answer:

klio [65]3 years ago

4 0

Answer:

See explanation

Step-by-step explanation:

Statement Reason

1. GKJH is a parallelogram - Given

2. GH║KJ - Definition of the parallelogram

3. ∠HGL and ∠KJL are alternate interior angles - Definition of alternate interior angles

4. ∠HGL≅∠KJL - Alternate interior angles theorem

5. GH≅KJ - Property of parallelogram

6. ∠GLH and ∠JLK are vertical angles - Definition of vertical angles

7. ∠GLH≅∠JLK - Vertical angles thoerem

8. ΔGLH≅ΔJLK - AAS postulate

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3 years ago

Explain the difference between the graphs of :

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Answer:

The only difference is that for any positive value of 'x' g(X) and h(X) will be same and for any negative value of 'x' g(x) and h(x) will be different.

Step-by-step explanation:

Given

$f(x)= |x|$

$g(x) = |x+5|\\\\h(x)= |x| +5$

|x| is modulus of x so modulus makes negative value as psoitive

for example

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now we will solve for the above

For $x=4$

$g(4)=|4+5|\\=|9|\\=9$

and

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3 years ago

Order the set of integers from least to greatest 5, -3, -12, 9

Sauron [17]

Answer:

-12, -3, 5, 9

Step-by-step explanation:

ok. So the numbers are 5, -3, -12, and 9.

In these numbers, there are 2 negatives. They are -12 and -3.

In negatives, the bigger the number is, the number is smaller.

So we first put

-12, -3 as our 2 first. Then the other ones are 5 and 9.

and you obviously know that 5 is less than 9. try it out. 9-5 =4 which is positive

So then you put 5, 9

And our full answer is

-12, -3, 5, 9

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3 years ago

Read 2 more answers