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worty [1.4K]
3 years ago
9

Examine the diagram.

Mathematics
1 answer:
wolverine [178]3 years ago
3 0

Answer:

m\angle 1 =60.75^\circ \\m\angle 2 =119.25^\circ

Step-by-step explanation:

From the diagram:

m\angle 1 =60.75^\circ $(Corresponding Angles)\\

Now Angle 1 and Angle 2 are on a straight line, therefore:

m\angle 1 +m\angle 2 =180^\circ $(Linear Postulate)\\Since m\angle 1=60.75^\circ\\60.75^\circ +m\angle 2 =180^\circ\\m\angle 2=180^\circ-60.75^\circ\\m\angle 2 =119.25^\circ

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triangle ABC is isosceles, angle B is vertex angle , AB = 20x -2, AC =25x, and BC =12 x +20. Find x and the length of each side
lisov135 [29]

Length of AB = 18. 92

Length of AC = 26. 15

Length of BC = 32. 552

<h3>How to determine the sides of the triangle</h3>

Using the Pythagorean theorem, we have that

(20 x-2)^2 = (12x + 20)^2 + (25x)^2

Expand the bracket

400x^2- 4 = 144x^2 + 400 + 625x^2

Collect like terms

400x^2 - 144x^2 - 625x^2 = 400 + 4

-369x^2 = 404

Make x^2 subject

x^2 = \frac{404}{369}

x = \sqrt{1.0948}

x = 1. 046

Thus,

Length of AB = 20x -2 = 20(1. 046) - 2 = 18. 92

Length of AC = 25x = 25* 1.046 = 26. 15

Length of BC = 12x + 20 = 12(1. 046) + 20 = 32. 552

Learn more about isosceles triangles here:

brainly.com/question/1475130

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8 0
2 years ago
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ratelena [41]
Answer : -7

Step- by- step- explanation:
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Hope this helps
7 0
3 years ago
Can someone help please<br> ;((
Luba_88 [7]

Answer:

see explanation

Step-by-step explanation:

A

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let n be the number of packages , then

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B

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256=(1/4)3x+2Solve the exponential equation for x.
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Answer:

Exact Form:

x =1016 /3

Decimal Form:

x = 338. ¯ 6

Mixed Number Form:

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Step-by-step explanation:

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Vedmedyk [2.9K]

Answer:3.162e+7

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