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2 years ago

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Lucy’s house is located at the point shown on the coordinate grid. Ainsley’s house is located 2 units right and 3 units down fro

m Lucy’s house. Plot a point on the coordinate grid to represent the location of Ainsley’s house. What ordered pair represents the location of Lucy’s house

1 answer:

dybincka [34]2 years ago

5 0

Answer: 3,3

Step-by-step explanation:

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I answered it but I just need someone to answer just to make sure mine are right

Artemon [7]

<h2>The missing measures of the angles are:</h2>

$m\angle 1= 60^{\circ}\\\\m\angle 2= 39^{\circ}\\\\m\angle 3= 21^{\circ}\\\\m\angle 4 = 39^{\circ}\\\\m\angle 5 = 21^{\circ}$

<u>Given</u>:

$m\angle Z = 138^{\circ}$

<em><u>Note the following:</u></em>

An equilateral triangle has all its three angles equal to each other. Each angle = $60^{\circ}$ .

This implies that, since $\triangle WXY$ is equilateral, therefore, $m\angle Y = m\angle XWY = m\angle XYW = 60^{\circ}$

Base angles of an isosceles triangle are congruent to each other.

This implies that, since $\triangle WZY$ is isosceles, therefore, $m\angle 3 = \angle 5$

Applying the above stated, let's find the measure of each angle:

Find $m\angle 1$

$m\angle 1 = 60^{\circ}$ (an angle in an equilateral triangle equals 60 degrees)

Find $m\angle 2$

$m\angle 2 = 60 - m \angle 3$

$m\angle 2 = 60 -\frac{1}{2}(180 - 138)$ $(Note: \frac{1}{2}(180 - 138) = 1 $ base $ angle $ of $ \triangle WZY)$

$m\angle 2 = 60 -21\\\\m\angle 2 = 39^{\circ}$

Find $m\angle 3$ and $m\angle 5$ (base angles of isosceles triangle WZY)

$m\angle 3 = \frac{1}{2}(180 - 138) (1 $ base $ angle $ of $ \triangle WZY)$

$m\angle 3 = \frac{1}{2}(42) \\\\m\angle3 = 21^{\circ}$

$m\angle3 = m\angle 5$ (base angles of isosceles triangle are congruent)

Therefore,

$m\angle5 = 21^{\circ}$

Find $m\angle 4$

$m\angle 4 = 60 - m\angle 5$

Substitute

$m\angle 4 = 60 - 21\\\\m\angle 4 = 39^{\circ}$

The missing measures of the angles are:

$m\angle 1= 60^{\circ}\\\\ m\angle 2= 39^{\circ}\\\\m\angle 3= 21^{\circ}\\\\m\angle 4 = 39^{\circ}\\\\m\angle 5 = 21^{\circ}$

Learn more here:

brainly.com/question/2944195

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2 years ago

The product of two numbers is 144 and their difference is 10. What is the sum of the two numbers

Lyrx [107]

Answer:

18+8=26

Step-by-step explanation:

Their sum would be 18 and * because they have difference of ten. In order o get this you would have to multiply 1 X144 and so on.

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2 years ago

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Click on the number until you find the right quotient. 36m5n5 ÷ (12m3)

Len [333]

<em>So</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>3</em><em>m</em><em>^</em><em>2</em><em>n</em><em>^</em><em>5</em>

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3 years ago

What is the gcf of 10 and 25

HACTEHA [7]

The gcf of 10 and 25 is 5

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3 years ago

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Please help!!! 98 Points!!!<br><br>Find the values of x and z.

Anna007 [38]

Answer:

z=63°{vertically opposite angle}

now,

z+10x+97=18o°{straight angle}

63+10x+97=180°

10x=180-133

x=<u>2</u><u>0</u>

<u> </u><u> </u><u> </u><u> </u><u> </u>10

x=2

hope it helps.

<u> </u><u> </u><u> </u><u> </u><u> </u>

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2 years ago