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inn [45]
3 years ago
7

HELP PLEASE! PRE-ALGEBRA!

Mathematics
1 answer:
serious [3.7K]3 years ago
6 0

Answer:

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees

Step-by-step explanation:

Step 1: Dilation by a scale factor of 1/2.

A point (x, y) is sent to (1/2 x, 1/2 y).

A(2, 2) ---> (1, 1)

B(2, 10) ---> (1, 5)

C(8, 12) ---> (4, 6)

Step 2: Rotate about the origin 180 degrees

A point (x, y) is sent to (-x, -y).

(1, 6) --->  A'(-1, -1)

(1, 5) --->  B'(-1, -5)

(4, 6) ---> C'(-4, -6)

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Marysya12 [62]

Answer:

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Step-by-step explanation:

3 0
3 years ago
19, find the direction angle of vector v to the nearest tenth of a degree
labwork [276]
The vector v is given by:
 v = (7, 2) - (-5, 0)
 v = ((7 - (- 5)), (2-0))
 v = ((7 + 5), 2)
 v = (12, 2)
 Then, the angle is given by:
 tan (theta) = 2/12
 theta = atan (2/12)
 theta = 9.46 degrees
 Answer:
 
The direction angle of vector to the nearest tenth of a degree is:
 
theta = 9.5 degrees
6 0
3 years ago
True or False, when graphing an inequality that has no solutions, you shade the entire number line.
Over [174]

Answer:

True or False

2. When graphing inequalities, a dashed line is used for < or > signs.

True or False

3. If you were to graph x > 6, the circle would be closed and to the left.

True or False

4. On a number line, if you were to graph an equation with a less than sign or a great than sign, < or > respectively, you would use an open circle

True or False

6 0
3 years ago
Find the slope of the line 7x-4y=10
Harman [31]

Answer:

The slope is m=(7/4)

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have

7x-4y=10

so

Convert to slope intercept form

Isolate the variable y

4y=7x-10

y=(7/4)x-(10/4)

y=(7/4)x-(5/2)

The slope is m=(7/4)

5 0
3 years ago
Solve the linear system of equations using addition. Graph the equations to verify your solution. required.
zhenek [66]
<h3>Answer:</h3>

infinite solutions

<h3>Step-by-step explanation:</h3>

Add the two equations.

... (-4x) + (y) = (y +3) +(-4x -3)

Add 4x -y to both sides.

... -4x +y +4x -y = -4x +y +4x -y

... 0 = 0 . . . . . true for all values of x (or y)

Both equations describe the same line.

_____

The graph shows the first equation as a red line. The second equation is shown using a "blue dot" texture, so you can see it overlays the red line.

8 0
3 years ago
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