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3 years ago

14

Which explains whether ΔFGH is congruent to ΔFJH?

2 answers:

Lina20 [59]3 years ago

5 0

Given two triangles, one can explain if they are congruent using the following postulates;
side-side-side (SSS) this is used when the corresponding sides of a triangle are similar
Side-angle-side (SAS) is used when the 2 corresponding sides are equal and at least one of the angles;
Angle-side-angle (ASA) is used when to corresponding angles and at least one side are equal

Gala2k [10]3 years ago

4 0

Answer:

Which explains whether ΔFGH is congruent to ΔFJH?

-C. They are not congruent because only one pair of corresponding sides is congruent.

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3 years ago

Line m has the equation y = 1/2x - 4

Mandarinka [93]

Answer:

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is

$y=mx+b$

Where m is the slope and b is the y-intercept

Given the equation of the line m

y = 1/2x - 4

comparing with the slope-intercept form of the line equation

y = mx + b

Therefore,

The slope of line 'm' will be = 1/2

We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

Checking the equation of the line 'n'

$x-2y=4$

solving for y to writing the equation in the slope-intercept form and determining the slope

$x-2y=4$

Add -x to both sides.

$x - 2y + (-x) = 4+(-x)$

$-2y = 4 - x$

Divide both sides by -2

$\frac{-2y}{-2}=\frac{-x+4}{-2}$

$y=\frac{1}{2}x-2$

comparing ith the slope-intercept form of the line equation

Thus, the slope of the line 'n' will be: 1/2

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

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Step-by-step explanation:

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