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Marrrta [24]
2 years ago
6

Parallelogram ABCD has vertices: A(-3, 1), B(3, 3), C(4, 0), and D(-2, -2). In two or more complete sentences, explain how you c

an use the coordinates of the vertices to prove that parallelogram ABCD is a rectangle.
please help

Mathematics
1 answer:
marysya [2.9K]2 years ago
4 0

Step-by-step explanation:

via the distance formula (based on Pythagoras) I can prove that ABC is a right-angled triangle, and that ADC is fully congruent to ABC.

so, together these 2 triangles (joined at their Hypotenuses, the diagonal AC) build a rectangle.

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A woodchuck runs 20 m to the right in 5 s, then turns and runs 10 m to the left in 3 s. (a) What is the average velocity of the
Archy [21]

Answer:

<h2>a) Average velocity = 1.25 m/s to the right</h2><h2>b) Average speed = 3.75 m/s</h2>

Step-by-step explanation:

A woodchuck runs 20 m to the right in 5 s, then turns and runs 10 m to the left in 3 s.

Total displacement = 20 - 10 = 10 m to the right

Total time = 5+3 = 8 s

Total distance = 20 + 10 = 30 m

a) We have

         Total displacement = Average velocity x Time

         10 = Average velocity x 8

         Average velocity = 1.25 m/s to the right

b)We have

         Total distance = Average speed x Time

         30 = Average speed x 8

         Average speed = 3.75 m/s

3 0
3 years ago
Which is greater, the greatest whole number with 4 digits or the least whole number with 5 digits? Explain
mixas84 [53]
The least whole number with 5 digits is greater. The greatest number with 4 digits is 9999, and the least whole number with 5 digits is 10000. 9999 < 10000.
5 0
3 years ago
Write the equivalent logarithmic equation to 10^a = x+b
MA_775_DIABLO [31]

Answer:

The answer to your question is   log₁₀ x + b = a        

Step-by-step explanation:

General formula

                 Logarithmic function                Exponential function

                           log ₐ b = c                                  b^{c} = a

a = antilogaritm                                               c = exponent

b = base                                                          b = base

c = logaritm                                                     a = power

In your problem

10 = base

a = exponent

x + b = power

Exponential function              log₁₀ x + b = a                            

4 0
3 years ago
Suppose you deal three cards from a regular deck of 52 cards. What is the probability that they will all be jacks?
andrew-mc [135]

<u>Answer:</u>

Probability of getting three jacks = \frac { 3 } { 5 2 }

<u>Step-by-step explanation:</u>

It is given that you deal three cards from a regular deck which contains 52 cards.

We are to find the probability of getting all three Jack cards.

We know that there are a total of 4 jacks in a regular deck of 52 cards.

Therefore, the probability of getting three jacks = \frac { 3 } { 5 2 }

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=7%20%5Ctimes%203%20%5Ctimes%203%20%3D%20" id="TexFormula1" title="7 \times 3 \times 3 = " alt=
Eduardwww [97]

63 is your answer :)

8 0
3 years ago
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