A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

5 0

Answer:

16 units.

Step-by-step explanation:

Just to make things easy, let's name the points A(3,9) B(5,9) C(3, 3) and D(5, 3).

Because this question wants perimeter, we'll just use the distance formula twice, then l*2 + w*2 = p.

Distance formula is sqrt((x1 - x2)^2 + (y1 - y2)^2) = d.

sqrt((5 - 3)^2 + (9 - 9)^2) = 2

sqrt((5 - 5)^2 + (9 - 3)^2) = 6.

The distance of points A and B is 2 units, and B to D is 6 units, multiply both by 2, (2*2=4, 6*2=12) and add the values to find 16 units.

Hope this helps, and if this is for OW, I feel your pain.

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PLS HELP!

ELEN [110]

Answers:

x = 6

Each angle is 45 degrees

The diagram is shown below

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Explanation:

Vertical angles are always congruent

Set the two expressions equal to each other and solve for x.

5x+15 = 3x+27

5x-3x = 27-15

2x = 12

x = 12/2

x = 6

As a way to check the answer, replace x with 6 in each expression. We should get the same thing on both sides

5x+15 = 3x+27

5*6+15 = 3*6+27

30+15 = 18+27

45 = 45

Each angle is 45 degrees, so the answer is confirmed.

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The diagram is shown below. There are infinitely many ways to draw out the diagram. In the version I drew, the angles aren't vertically aligned but instead they are opposite one another in this X configuration. So the vertical angles could be vertically aligned, but they don't have to be.

In short: draw an X shape and mark any two opposite angles to form the vertical angles.