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Andreas93 [3]
3 years ago
8

Need help plz thanks​ for the help

Mathematics
1 answer:
andrew-mc [135]3 years ago
6 0

Answer:

m<C = 66°

Step-by-step explanation:

Perpendicular bisector, AB divides angle CAD into two equal parts. Therefore:

(5x + 9)° = (7x + 3)°

Solve for x

5x + 9 = 7x + 3

Collect like terms

5x - 7x = -9 + 3

-2x = -6

Divide both sides by -2

x = 3

✔️m<C + m<CBA + m<BAC = 180° (sum of triangle)

m<C + 90° + (7x + 3)° = 180 (substitution)

Plug in the value of x and solve

m<C + 90 + 7(3) + 3 = 180

m<C + 90 + 21 + 3 = 180

m<C + 114 = 180

m<C = 180 - 114 (Subtraction property of equality)

m<C = 66°

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Step-by-step explanation:

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Read 2 more answers
Problem Set:
Hoochie [10]

Answer:

Part a) \frac{132}{89}

Part b) 132:89 vs 132 to 89

Part c) \frac{66}{7}

Part d) 66:7 vs 66 to 7

Step-by-step explanation:

Let

x ----> the number of boys

y ----> the number girls

z ----> the number of adults

we have

x=132, y=89, z=14

Part a) Write the ratio of the number of boys to the number of girls.

To find the ratio of the number of boys to the number of girls, divide the number of boys by the number of girls

so

\frac{x}{y}

substitute

\frac{132}{89}

Part b) Write the same ratio using another form (A: B vs. A to B)

we have

\frac{132}{89}

The other form is

132:89 vs 132 to 89

Part c) Write the ratio of the number of boys to the number of adults

To find the ratio of the number of boys to the number of adults, divide the number of boys by the number of adults

so

\frac{x}{z}

substitute

\frac{132}{14}

Simplify

\frac{66}{7}

Part d) Write the same ratio using another form

The other form is

66:7 vs 66 to 7

7 0
3 years ago
QUICK! WILL MARK BRAINLIEST!!
vova2212 [387]

Answer: They are not congruent.

Step-by-step explanation:

You need to find the distance between these points to find congruence. If just one of these doesn't match with its corresponding side, its not congruent.

DE: square root of 68

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GH: square root of 53

DE and GH are corresponding, but they are not congruent so these polygons are not congruent.

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4 years ago
Find the distance between the points A(13,2) and B(7,10)
Anna007 [38]

Answer:

10 = D

Step-by-step explanation:

Method #1

We can draw a <em>right triangle</em> on the graph upon where the points are located and use the Pythagorean Theorem:

{a}^{2} + {b}^{2} = {c}^{2}

{6}^{2} + {8}^{2} = {c}^{2}

36 + 64 = {c}^{2}

100 = {c}^{2}

10 = c

* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.

_______________________________________________

Method #2

Or, we can use the Distance Formula:

\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D

<em>B</em>[7, 10] <em>A</em>[13, 2]

\sqrt{[-2 + 10]^{2} + [-13 + 7]^{2}} = D

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\sqrt{64 + 36} = D

\sqrt{100} = D

10 = D

* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.

** You see? It does not matter which method you choose, as long as you are doing the work correctly.

I am delighted to assist you anytime.

6 0
4 years ago
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