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3 years ago

The triangles are similar by the AA Similarity Postulate. Find the value of x.

Mathematics

2 answers:

cricket20 [7]3 years ago

3 0

Line x is the midsegment of the triangle.

5/2= 2.5

I hope this helps!
~kaikers

CaHeK987 [17]3 years ago

3 0

Answer: 2.5

Step-by-step explanation:

Given: The triangles in the picture are similar by the AA Similarity Postulate.

We know that is two triangles are similar triangles then its corresponding sides are proportional [Larger side is proportional to larger side of another triangle or vise versa].

$\Rightarrow\frac{x}{5}=\frac{3}{3+3}\\\\\Rightarrow\frac{x}{5}=\frac{3}{6}\\\\\Rightarrow x=\frac{1}{2}\times5\\\\\Rightarrow x=2.5$

Hence, the value of x is 2.5 .

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3 years ago

HELPPPPPPPP PLSSSS I HAVE 30 BEFORE THIS IS DUE

postnew [5]

Answer:

The line equation in slope-intercept form is:

$y\:=-\frac{2}{5}x+4$

Hence, option D is true.

Step-by-step explanation:

Given the points

(0, 4)

(5, 2)

Finding the slope between the points

$\left(x_1,\:y_1\right)=\left(0,\:4\right),\:\left(x_2,\:y_2\right)=\left(5,\:2\right)$

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{2-4}{5-0}$

$m=-\frac{2}{5}$

As the y-intercept is obtained by setting the value x = 0.

As we know that when x = 0, the vale of y-intercept y = 4

so the y-intercept is b = 4.

As the slope-intercept form is

substituting the slope m = -2/5 and the y-intercept b=4

$y = mx+b$

$y\:=-\frac{2}{5}x+4$

Therefore, the line equation in slope-intercept form is:

$y\:=-\frac{2}{5}x+4$

Hence, option D is true.

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2 years ago