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klio [65]
2 years ago
15

Please help if you know how to do the base angle theorem I could really use some help

Mathematics
1 answer:
jenyasd209 [6]2 years ago
7 0

Answer:

<em>x = 22°, y = 70°</em>

Step-by-step explanation:

<u>Isosceles Triangles</u>

The base angles of an isosceles triangle are those formed by the base and one leg of the triangle.

On the other side, the base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent.

We are given an isosceles triangle with base angles 3x-11 and 2x+11. Applying the theorem as explained above:

3x - 11 = 2x + 11

Subtracting 2x:

x - 11 = 11

Adding 11:

x = 22

The base angles have a measure of

3x - 11 = 3*22 - 11 = 55°

Thus, the remaining angle of the triangle is:

y = 180° - 2*55° = 180° - 110° = 70°

x = 22°, y = 70°

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2 years ago
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Answer:

Step-by-step explanation:

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3 years ago
Show the work please
Kay [80]

Answer:

1) (x + 3)(3x + 2)

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Step-by-step explanation:

3x^2 + 11x + 6 = 0 (mid-term break)

using mid-term break

3x^2 + 9x + 2x + 6 = 0

factor out 3x from first pair and +2 from the second pair

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rearrange the equation

5x^2 + 2x - 1 = 0

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rearranging the equation to gain a+b=c form

x^2 + 2x/5 = 1/5

adding (1/5)^2 on both sides

x^2 + 2x/5 + (1/5)^2 = 1/5 + (1/5)^2

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(x + 1/5)^2 = 5 + 1 by 25

(x + 1/5)^2 = 6/25

taking square root on both sides

root(x + 1/5)^2 = +/- root(6/25)

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shifting 1/5 on the other side

x = +/- root6 /5 - 1/5

x = +/- root6 - 1 by 5

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4 0
3 years ago
Two trains begin in Milford and end in Pinkerton, which is 300 miles away. Train A leaves Milford at 10:00 a.m. and travels at a
Dvinal [7]

Answer:

A. Train A

Step-by-step explanation:

Hope this helps!!

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2 years ago
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For any circle the diameter is 2 times the radius,

d = 2r

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2 years ago
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