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3 years ago

In triangle FGH, GJ is an angle bisector of ∠G and perpendicular to FH.

Mathematics

1 answer:

Citrus2011 [14]3 years ago

4 0

The picture in the attached figure

we know that
If line GJ bisects the angle FGH, that means we also know that the angle FGH is divided into two equal sizes.

Now, we have
Angle FGJ = Angle HGJ
Angle GJF = Angle GJH
This information means that angle GHJ = angle GFJ

We have two congruent right-angled triangle
We can then further deduce that
Side GF = Side GH
Since triangle FGJ and triangle GJH are congruent,
then
side FJ equals to side JH
3x-8=16
3x=16+8
3x=24
x=8 units
Hence,
the length of FH = 2×8=16 units

the answer is
FH=16 units

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Lilit [14]

Answer:

Kindly check explanation

Step-by-step explanation:

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2 years ago

Carleen deposited $16,400 in a bank account with an annual interest rate of 3.9%. How much interest was earned in 8 years?

Nesterboy [21]

The amount on interest he earned is $5116.8

Step-by-step explanation:

Given,

Principal(P) = $16400

Rate of interest(R) = 3.9%

Time(T) = 8 years

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Formula

Simple interest = $\frac{PRT}{100}$

Hence,

The interest =$ $\frac{16400X3.9X8}{100}$

= $5116.80

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3 years ago

Read 2 more answers

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Serggg [28]

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3 years ago

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-3y+1/3=-5/6y-5/2 what does y equal

kotykmax [81]

Answer:

17/13

Step-by-step explanation:

$- 3y + \frac{1}{3} = - \frac{5}{6}y - \frac{5}{2} \\ - \frac{18}{6}y + \frac{2}{6} = - \frac{5}{6} y - \frac{15}{6} \\ \frac{2}{6} + \frac{15}{6} = - \frac{5}{6} y + \frac{18}{6} y \\ \frac{17}{6} = \frac{13}{6} y \\ \frac{6}{13} \times \frac{17}{6} = y \\ \frac{17}{13} = y$

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2 years ago

She spent 1/4 of her money on a shirt and 2/5 on shoes. What fraction of money has been spent

likoan [24]

1/4 = 5/20
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8/20 + 5/20 = 13/20 has been spent

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3 years ago