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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

Irina wants to tile her floor using the translation shown below. Which is the rule for this translation? T–3, 2(x, y) T2, –3(x,

Solnce55 [7]

Answer:

The answer is A, -3.2(x y).

Step-by-step explanation:

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2 years ago

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Parallelogram PQRS is shown. m/S=(3x), m/R=120, and m/Q=(2y). Find the value of y.A.

fomenos

Option B. From the parallelogram PQRS the value of y is given to be 30

<h3>How to solve for the value of y from the parallelogram</h3>

In order to get the value of y we have to use the formula

2y + 120 = 80

where the value 120 is the angle that is stated as 120 from the question

2y = 180 - 120

2y = 60

y = 60 / 2

y = 30

Hence the value of y = 30

We can go ahead to get the value of x as well

3x + 120 = 180

take the like terms

3x = 180 - 120

3x = 60

divide through by 3 to get x

60 / 3 = x

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Read more on parallelograms here: brainly.com/question/24056495

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1 year ago

Find two irrational numbers between 0.3 and 0.7?

Vesnalui [34]

Answer:

0.3101001000......

0.410100100010000....

Step-by-step explanation:

To find irrational number between any two numbers, we first need to understand what a rational and irrational number is.

Rational number is any number that can be expressed in fraction of form $p/q$ . Since q can be 1, all numbers that terminate are rational numbers. Example: 1, 12.34, 123.66663

Irrational number on the other hand can't be expressed as a fraction and do not terminate. Also, there is no pattern in numbers i.e. there is no repetition in numbers after the decimal point.

For example: 3.44444..... can be expressed as rational number 3.45.

But 3.414114111.... is an irrational number as there no pattern observed. Also,it does not terminate.

We can find infinite number of irrational numbers in between two rational numbers.

<u>Irrational numbers in between 0.3 and 0.7:</u>

0.3101001000......

0.410100100010000....

0.51010010001.......

0.6101001000....

There are many others. We can choose any two as answers.

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3 years ago

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Answer:

Step-by-step explanation:

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<u>He still needs the step:</u>

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2 years ago

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