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Pani-rosa [81]
3 years ago
12

Are the two triangles similar? How do you know?

Mathematics
2 answers:
Finger [1]3 years ago
6 0
D. Yes, by AA~   :):):):)
Tatiana [17]3 years ago
3 0

Answer:

Option D

Yes. By AA~

Step-by-step explanation:

Given are two lines JMG and HMK intersecting at M.

To check whether two triangles are similar

Consider the two triangles HMG and JMK

We are going to compare the angles of the two triangles

We have

Angle H = angle K =39 (given)

Angle HMG = Angle JMK (Vertically opposite angles)

Since two angles of a triangle are congruent the third angle also will be congruent

Thus we find that the two triangles have AAA congruence

Hence the two triangles are similar by AA~.

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Find the equation of the line that passes through point A (1,7) and B (-3, -1)
amid [387]

Answer:

The equation of the line is 2 x - y + 5 = 0.

Step-by-step explanation:

Here the given points are A( 1, 7) & B( -3, - 1) -

Equation of a line whose points are given such that

( x_{1}, y_{1} ) & ( x_{2}, y_{2} )-

 y - y_{1}  = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }   ( x - x_{1}  )

i.e. <em> y - 7= \frac{- 1 - 7}{ -3-1}  ( x- 1)</em>

<em>       y - 7 =  \frac{- 8}{- 4} ( x -1)</em>

<em>       y - 7 =  2 ( x - 1) </em>

<em>       y - 7  =   2  x - 2</em>

<em>       2 x - y + 5 = 0</em>

Hence the equation of the required line whose passes trough the points ( 1, 7) & ( -3, -1)  is 2 x - y  + 5 = 0.

6 0
3 years ago
Find the y intercept of the line on the graph
saul85 [17]
It’s the vertical line on the graph
4 0
2 years ago
Consider the following relation.
Jet001 [13]

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(0,-1),(1,0),(2,1),(3,2)

Step-by-step explanation:

We are given that a relation

y=x+1y=x+1

We have to find the four points contained in the inverse

The given function is linear function

Therefore,

Domain of function=R

Range of function=R

x=y-1x=y−1

Now, replace x by y and y replace by x

y=x-1y=x−1

Now, substitute y=f^{-1}(x)=f

−1

(x)

f^{-1}(x)=x-1f

−1

(x)=x−1

It is linear function and defined for all real values.

Substitute x=0

f^{-1}(0)=-1f

−1

(0)=−1

Substitute x=1

f^{-1}(1)=1-1=0f

−1

(1)=1−1=0

f^{-1}(2)=2-1=1f

−1

(2)=2−1=1

f^{-1}(3)=3-1=2f

−1

(3)=3−1=2

Therefore, four points contained in the inverse (0,-1),(1,0),(2,1) and (3,2)

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