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Vilka [71]
2 years ago
12

Kyle said that it is not possible to draw a trapezoid that is a rectangle. Trisha said it is possible. Who is correct? Support y

our answer using the properties of sides and angles.
Mathematics
1 answer:
neonofarm [45]2 years ago
6 0

Answer:

Kyle is correct, because it is not possible to draw  a trapezoid that is a rectangle.

Step-by-step explanation:

Trapezoid:

  • It is a quadrilateral with only one pair of of parallel sides
  • Also in Trapezoid all the four angles are not right angle
  • In Trapezoid is it not necessary that the diagonals bisect at all the cases
  • The opposite angles are supplementary

Rectangle:

  • Opposite sides of a rectangle are parallel and equal, thus having two pairs of parallel lines
  • In a Rectangles all the four angles are 90 degrees  i.e, right angle
  • Diagonals of rectangles must bisect each other
  • The sum of any two angles is supplementary
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Find the magnitude of wx for w(-3 5 4) and x(9 5 3)
Hatshy [7]

Answer:  Magnitude of wx is \sqrt{145}

Step-by-step explanation:

Since we have given that

w(-3,5,4)=-3\hat{i}+5\hat{j}+4\hat{k}\\\\x(9,5,3)=9\hat{i}+5\hat{j}+3\hat{k}

Now, first we will find 'wx':

wx=Initial-Final\\\\wx=(9+3)\hat{i}+(5-5)\hat{j}+(3-4)\hat{k}\\\\wx=12\hat{i}-1\hat{k}

We need to find the "magnitude":

\mid wx\mid=\sqrt{12^2+1^2}=\sqrt{144+1}=\sqrt{145}

Hence, Magnitude of wx is \sqrt{145}

3 0
2 years ago
Read 2 more answers
Mike's closing costs will add up to 4 percent and he'll make a down payment of 20 percent on a house that costs $210,000. Over t
postnew [5]
<span>For the question "Mike's closing costs will add up to 4 percent and he'll make a down payment of 20 percent on a house that costs $210,000. Over the life of his loan, he will pay $197,040.76 in monthly payments. What is the total cost of his house?" To obtain the total cost of the house, we first obtain the amount he paid as the closing costs and the down payment he paid which we will add to the total amount paid in monthly payments. Closing cost = 4% of $210,000 = 0.04 x 210,000 = $8,400 Down payment = 20% of $210,000 = 0.2 x 210,000 = $42,000 Total monthly payments = $197,040.76 Total cost of the house = $8,400 + $42,000 + $197,040.76 = $247,440.76</span>
7 0
2 years ago
what is f(x) = 2x2 28x – 5 written in vertex form? f(x) = 2(x 7)2 – 19 f(x) = 2(x 7)2 – 103 f(x) = 2(x 14)2 – 14 f(x) = 2(x 14)2
Katarina [22]
Hello,
++++++++++++++++++++++
Answer B
++++++++++++++++++++++

2x²+28x-5=2(x²+2*7x+49)-5-2*48
=2(x+7)²-103

++++++++++++++++++++++++++++++
4 0
2 years ago
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There are 10 pots exposed in the shop, 2 of which have hidden defects. the customer buys two pieces. what is the probability tha
Tpy6a [65]
Check the tree diagram, of all the possible scenarios and the probabilities.

All the possible scenarios are: 

1st.non defective,  2nd.non defective
1st.non defective,  2nd. defective
1st. defective,  2nd. non defective
1st. defective,  2nd. defective

consider the case 1st.non defective,  2nd.non defective

the probability that the first one is non defective is 8/10, since 8 out of 10 are non defective.

In this scenario, the second one is non defective as well. The probability for this to happen is 7/9, since now we have 7 non defective pots, and 9 in total.

This means that the probability of the first to be non defective, and the second non-defective is (8/10) * (7/9)=0.622

similarly we calculate the other cases, as shown in the picture.

P(at least one is defective)=
P(1st.non defective,  2nd. defective)+P(1st. defective,  2nd. non defective)+P(1st. defective,  2nd. defective)=
0.178+0.178+0.022=0.378


Answer: 0.378

8 0
2 years ago
For all real numbers a and b, 2a • b = a2 + b2 Is this true or false? Explain why it false or true.
Andru [333]

Answer:

It's false.... correct is a2+2ab+b2

Step-by-step explanation:

This cannot be factored anymore although. when we try to substitute a with 5 and b with 2, the answer in the right hand side of the equation is -9.

That's why it's false.

3 0
2 years ago
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