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2 years ago

A quadrilateral is drawn on a coordinate plane with vertices at W(-3,1) X(-1,5). Y(0, 3), and Z(-2,-1).

Mathematics

1 answer:

lbvjy [14]2 years ago

3 0

The actions that prove that the quadrilateral is a parallelogram are:

Use the slope formula on each side of the quadrilateral and show that opposite sides have the same slope.
Use the distance formula on each side of the quadrilateral and show that opposite sides have the same length.

<h3>Quadrilaterals</h3>

Quadrilaterals are polygons that have four sides and four corners

<h3>Parallelograms</h3>

Parallelograms are quadrilaterals that have parallel and congruent opposite sides

For the quadrilateral to be a parallelogram, then the opposite sides must be congruent.

This can be proved using the distance formula

Also, for the quadrilateral to be a parallelogram, then the opposite sides must be parallel.

This can be proved using the slope formula

Hence, the possible actions are (a) and (b)

Read more about quadrilaterals and parallelograms at:

brainly.com/question/14708246

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Betsy, a recent retiree, requires $5000 per year in extra income. She has $60000 to invest and can invest in B-rated bonds p

solniwko [45]

Betsy needs to invest $32,000 in the B-rated bonds paying 13% interest and $28,000 in the certificate of deposit paying 3% interest.

Interest is calculated by multiplying the rate with the principal.

Let x = the amount Betsy will invest in the B-rated bonds paying 13% per annum. The remaining amount, $60,000-x , she will invest in the certificate of deposit paying 3% per annum.

We can express the earnings on these two investments, after converting the percentages to their decimal equivalents, as: 0.13x+0.03(60000-x) and this is to earn a total of $5,000

Now we can write the necessary equation to solve for x.

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So Betsy needs to invest $32,000 in the B-rated bonds paying 13% interest and the remainder ($60,000-$32,000 = $28,000) in the certificate of deposit paying 3% interest to obtain $5,000 in interest per annum.

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