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3 years ago

Which point is the incenter of △ABC ?

Mathematics

1 answer:

serious [3.7K]3 years ago

6 0

Answer:

Point D is the incenter of the ΔABC.

Step-by-step explanation:

Incenter is a point inside the triangle, where all the angle bisectors of all the angles of the triangle meet. Rest all the data, given about the perpendicular bisectors and points G and E is irrelevant and unnecessary.

D is the incenter of the circle, for more reference see the figure attached.

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Answer:

Step-by-step explanation:

total money = $2.25 = 225 cents

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dime = 10 cents , nickel = 5 cents

twice of dimes to nickels

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our equation

10x + 5y = 225

x = 2y

10(2y) + 5y = 225

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weeeeeb [17]

Short Answer C
Nice little problem. The catch is that alpha and beta both add up to 90 degrees.
Here's why.

α + β + right angle = 180° All triangles have 180° A right and = 90°.
α + β + 90 = 180 Right angles are 90° Now subtract 90° from both sides
α + β = 180 - 90
α + β = 90

Now all you have to do is put in the x values for alpha and beta and equate them to 90

5x/3 + 20 + 2x/3 + 14 = 90 Collect the light terms.
5x/3 + 2x/3 + 20 + 14 = 90
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7x/3 = 56 Multiply by sides by 3
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That's not quite the answer
The question wants alpha.
α = 5x / 3 + 20
α = 5*24/3 + 20
α = 120/3 + 20
α = 40 + 20
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Answer C <<<<<<

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