Use the coordinate plane, the figure below, coordinate proof strategies, and the lengths and slopes of PM and GR to verify this theorem: Given: QUAD is a quadrilateral. P, G, R, M are the midpoints of the sides QU, UA, AD, and DQ respectively. Prove: The polygon formed by joining adjacent midpoints of a quadrilateral is a parallelogram.

Answers

Answer 1
Answer: The "respectively" part is removed so what is the question


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A bowl contains 8 blue marbles and 5 green marbles. Elizabeth randomly draws 4 marbles form the bowl. she does not replace the marbles after each draw. what is the probability that she draws 1 blue marble and 3 green marbles?A. 4/13B. 13/143C. 4/143D. 16/143

What will multiply to 16 and add to 1?

Answers

37 is the right answer because 47 is not mutable and 27 is too short 

Write the denominator of the fractiona 7/20 as the product of prime factors

Answers

Answer:

Step-by-step explanation:

prime factors of 20 = 2 * 2 * 5

(7)/(20)=(7)/(2*2*5)

Final answer:

The denominator of the fraction 7/20 can be written as the product of prime factors: 2 x 2 x 5.

Explanation:

The denominator of the fraction 7/20 can be written as the product of prime factors by finding the prime factorization of 20.

  1. Start by dividing 20 by the smallest prime number, which is 2. 20/2 = 10.
  2. 2 is a prime factor, so we continue to divide 10 by 2. 10/2 = 5.
  3. 5 is a prime number, so we have found the prime factorization of 20: 2 x 2 x 5 = 20.

Therefore, the denominator of the fraction 7/20 can be written as 2 x 2 x 5.

Learn more about Prime Factorization here:

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-16+5n=-7(-6+8n)+3

what is the work for this ?? this is the like only one i cant get

Answers

-16 + 5n = -7(-6 + 8n) + 3   Given
-16 + 5n = 42 - 56n + 3   Distribute
-16 + 5n = 45 - 56n   Collect like terms
61n = 61   Add 56n to the left side and add 16 to the right side
n = 1   Divide 61 from both sides

The answer is n = 1. Remember that when you have a number beside two or more numbers in parentheses, you have to distribute, or multiply the number outside the parentheses by each number inside the parentheses.

Hope this helps!

Fifty divided by a hundred is equivalent to 0.02?

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50 divided by 100 is .50 so no it is not equivalent .

The sum of the squares of two consecutive positive even numbers is 340. Find the numbers.

Answers

12 and 14
12x12=144
14x14=196
196+144=340

the answer is 12 and 14 100%

Nine more than thirty divided by ten

Answers

3.9

9 more than so 9+30 so 39÷10 so 3.9

Step-by-step explanation:

  • Nine more than thirty divided by ten

This is not algebra but a simple expression, but written like this it has 2 interpretations, so in mathematics numbers and signs are used instead of words, the two expressions could be 9 + 30 : 10 = or (9 + 30) : 10 =

9 + 30 : 10 =  (remember PEMDAS)

9 + 3 =

12

(9 + 30) : 10 =

39 : 10 =

39/10 or 3.9