civonamzuk

corrections:

(50 + x - 1/3(50 + x)) / (x - 3/5x) = 2   

Such triangles are NOT possible!!!

For the given perimeter, the equilateral triangle has the largest area.

P = 3x (units)               A = 3x (square units)

x = 4√3 

You too! 

John bought some pens and pencils. After he sold 1/3 of the pens and 3/5 of the pencils, he had twice as many pens as pencils left. Given John bought 50 more pens than pencils, how many pens and pencils did John have altogether?

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John bought 50+x pens and x pencils.

(50 + x - 1/3(50 + x)) / (x + 3/5x) = 2

x = 250

50+x + x = 550

That was easy.

Can you find the coordinates of the 2 remaining vertices? 

[DEF] / [ABC] = 37 / 80

1/   Similar math problem::: https://web2.0calc.com/questions/help_54234

Scale factor = - 4/3

A / [XYZ] = 851 / 999

If x, y, and z are real numbers for which

x + y - z = -8

x - y + z = 18

-x + y + z = 30

 Then what is xyz?

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2x = -8 + 18         x = 5

2y = -8 + 30         y = 11

2z = 18 + 30        z = 24

xyz = 1320

BY / YA = 6√2 / 6√8

In triangle ABC the angle bisectors are AD BE  and CF, which intersect at the incenter I. If Angle ACB = 38 degrees then find the measure of AIE in degrees.

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Let angle BAC be 90 degrees

∠IAE = 45º

∠AEI = 90 - 1/2(∠ABC) = 64º

∠AIE = 180 - (∠IAE + ∠AEI) = 71º

Shortcut:::

∠AIE = 90 - 1/2(∠ACB)