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Harrizon [31]
3 years ago
10

Inside the square ABCD, side 15 cm, the point M is considered, so that the triangle ABM is equilateral. Show that:

Mathematics
2 answers:
katovenus [111]3 years ago
8 0

Answer:

Step-by-step explanation:

a) area of square: 15 x 15 = 225 cm²

b) The steps are illustrated in the picture.

ΔADM ≅ ΔBCM (sas)

DM = CM

ΔMDC is isoceles

Vlad1618 [11]3 years ago
3 0

Answer:

a) 15*15=225 that is the area

b)see picture that I drew (sorry I have terrible drawing skills on a computer) but in a an isosceles triangle the two legs are congruent and the base is not when you cut a square diagonally as you have done this one the base will not be the same as the other two legs.

Step-by-step explanation:

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Answer:

x=20.67\ ft

Step-by-step explanation:

we know that

The <u><em>Midpoint Theorem</em></u> says that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the third side

so

in this problem

Applying the midpoint theorem

x=\frac{124}{3}:2=\frac{124}{6}=\frac{62}{3}=20.67\ ft

7 0
3 years ago
Write an equation in slope-intercept form for the line that has the given slope and contains the point. Please show some work.(
zavuch27 [327]

Answer:

An equation in the slope-intercept form will be:

y=\frac{-1}{2}x+0

Step-by-step explanation:

Given the points

  • (4,-2)
  • (2,-1)

Finding the slope between points

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

\left(x_1,\:y_1\right)=\left(4,\:-2\right),\:\left(x_2,\:y_2\right)=\left(2,\:-1\right)

m=\frac{-1-\left(-2\right)}{2-4}

m=-\frac{1}{2}

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept.

substituting the values m=-1/2 and the point (4, -2) to determine the y-intercept i.e. 'b'.

y=mx+b

-2=\frac{-1}{2}\left(4\right)+b

-2+b=-2

b=0

substituting the values m=-1/2 and b=0 to determine the line equation in slope-intercept form

y=mx+b

y=\frac{-1}{2}x+0

Thus, an equation in the slope-intercept form will be:

y=\frac{-1}{2}x+0

8 0
3 years ago
How do i rearrange this equation into y=mx+b? y = - x - 5
MissTica

The Solution:

Given:

y=-x-5

Required:

To write the given equation in the form below:

y=mx+b

Clearly, the given equation is already in the required form.

The parameters are:

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2 years ago
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3 0
3 years ago
What is 2000÷1000= ​
olga2289 [7]

Answer:

The answer to your qeutsion is 2 or in a equation form it would be 2000 divided by 1000 equals 2.

3 0
3 years ago
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