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raketka [301]
3 years ago
14

Layanas house is located at (2 2/3, 7 1/3) on a map the store where she works is located at (-1 1/3, 7 1/3) what is the distance

from layanas home to the store
Mathematics
2 answers:
alexira [117]3 years ago
6 0

Answer:

11 Hope it helps out!

Gemiola [76]3 years ago
6 0

Answer:

4

Step-by-step explanation:

To know the distance between two places we have to get the distance of a straight line. To get the distance between two points we have a formula:

distance = \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }

<em>The first point is (2 2/3, 7 1/3)</em><em> (x1,y1)</em>

<em>the second point is (-1 1/3, 7 1/3) </em><em>(x2,y2)</em>

Now we have to substitute in the formula:

distance = \sqrt{(-1 \frac{1}{3} -2\frac{2}{3} )^{2}+(7\frac{1}{3} -7\frac{1}{3})^{2}   }

Now we have to solve each part of the formula:

distance = \sqrt{(-4)^{2}-0 }

distance = \sqrt{16}

Distance = 4

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Figure ABCD is a rhombus where the m∠ABC = 84 and m∠ABE = 3x − 6. Solve for x. Rhombus ABCD with diagonals AC and BD and point E
bazaltina [42]

Answer:

<u> x = 16</u>

Step-by-step explanation:

See the attched figure

We should know that, one of the properties of the rhombus is the diagonals bisect the angles of the rhombus.

Given:

m∠ABC = 84  and m∠ABE = 3x − 6

So, m∠ABE = 0.5 * m∠ABC = 0.5 * 84 = 42

∴ 3x - 6 = 42

Solve for x

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<u>∴ x = 16</u>

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Step-by-step explanation:

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