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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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3 years ago

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360

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3 years ago

. Statisticians use linear regression to a) Make sure the X and Y scores match b) Predict unknown Y scores from unknown X scores

cluponka [151]

Answer:

Step-by-step explanation:

In this question we are asked to pick the correct option that clearly states what statisticians use linear regression for.

To answer this question, I shall be considering the validity of the options one after the other.

But before that , what is a linear regression model?

A linear regression model employs a linear plot to explain the relationship between a dependent variable and another variable called the independent variable.

Option a is wrong.

A regression model does not say if the dependent and independent variables match

Option B is wrong

A linear regression model cannot be used to predict the value of an unknown dependent variable from the unknown Independent variables. X is the independent here with y the dependent

Option C is wrong

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3 years ago

What is the y coordinate of the center of the circle for the following equation? X squared plus y squared minus 10y plus 18x = 2

katrin2010 [14]

Answer:

Center of the circle is (-9, -7)

Radius of the circle = 5 units

Given question is incomplete: here is the complete question.

Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.

What is the center of this circle ?

What is the radius of this circle ?

Since equation of the circle has been given by the equation,

x² + y² + 18x + 14y + 105 = 0

Now we will convert this equation to the standard form of the circle.

x² + 18x + y² + 14y = -105

[x² + 2(9)x] + [y² + 2(7)x] = -105

[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105

(x + 9)² + (y + 7)² = 81 + 49 - 105

(x + 9)² + (y + 7)² = 25

(x + 9)² + (y + 7)² = 5²

By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²

Center of the circle is (-9, -7) and radius of the circle is 5 units.

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3 years ago