If x2 = 40, what is the value of x?

Given line AB and point O on that line, any ray that can be drawn with its endpoint at O can be put into a one- to-one correspon

natima [27]

Answer:

Protractor

Step-by-step explanation:

A POSTULATE, LAW OR THEORY SHOULD NEVER BE ALTERED

∴ The protractor postulate states that the measurement of an angle between two rays can be designated as a unique number, and this number would be between 0 and 180 degrees, Hence for every angle A, there corresponds a positive real number less than or equal to 180. This postulate guarantee the use of a protractor to measure angles.

Hence, Given line AB and point O on that line in such a way that any ray that can be drawn with its endpoint at O can be put into a one- to-one correspondence with the real numbers between 0 and 180 is a statement that explains Protractor's Postulate.

4 0

3 years ago

Write the equation of a line that is parallel to the line 2x - 3y = 5 and passes through the point (2, -1)

jek_recluse [69]

Answer:

The equation of the line is 2x - 3y = 7 ⇒ answer A

Step-by-step explanation:

* Lets revise the relation between the parallel lines

- If two lines are equal then their slopes are equal

- We can make an equation of a line by using its slope and

a point on the line

- If the slope of the line is m and passing through the point (x1 , y1),

then we can use this form [y - y1]/[x - x1] = m to find the equation

* Lets solve the problem

- The line is parallel to the line 2x - 3y = 5

∴ the slope of the line = the slope of the line 2x - 3y = 5

- Rearrange the terms of the equation to be in the form

y = mx + c to find the slope of it

∵ 2x - 3y = 5 ⇒ subtract 2x from both sides

∴ -3y = 5 - 2x ⇒ divide two sides by -3

∴ y = 5/-3 - 2x/-3 ⇒ y = 2/3 x - 5/3

∴ The slop of the line is 2/3

∵ The line passes through point (2 , -1)

* Lets use the rule to find the equation of the line

∵ y - (-1)/x - 2 = 2/3

∴ y + 1/x - 2 = 2/3 ⇒ by using cross multiplication

∴ 3(y + 1) = 2(x - 2) ⇒ open the brackets

∴ 3y + 3 = 2x - 4 ⇒ put x an d y in one side

∴ 2x - 3y = 3 + 4

∴ 2x - 3y = 7

* The equation of the line is 2x - 3y = 7

8 0

3 years ago

Find the missing angle measure. then classify the triangle by its angles and by its sides.

iren [92.7K]

Answer:

Part a) The measure of the missing angle is $90\°$

Part b) The triangle of the figure is a right triangle

Part c) The triangle of the figure is a scalene triangle

Step-by-step explanation:

we know that

The sum of the interior angles of a triangle is equal to $180\°$

so

Let

x------> the missing angle

we know that

$x\°+50\°+40\°=180\°$

solve for x

$x=180\°-90\°=90\°$

The triangle of the figure is a right triangle --------> by its angles

Because the triangle has an angle measure of $90\°$

The triangle of the figure is a scalene triangle --------> by its sides

Because the three angles and the three sides measures are different

8 0

3 years ago

Read 2 more answers

a manufacturer is designing a flashlight for the flashlight to admit a focused beam the bull needs to be on the central axis of

Helen [10]

Answer:

y= 1/12(x-0)^2+0

this answer works as an upward parabola

Step-by-step explanation:

The formula for a veritcal parabola is y=1/4p(x-h)^2+k
(h,k)= coordinates of the vertex of the parabola
p= absolute value of the distance from the vertex to the focus/directrix
In this problem, it is given that the vertex is at the origin (0,0) and the focus (the bulb), is 3 centimeters away from the vertex.
Now, you know the values of the variables. Fill in the values
FROM THE FORMULA: 1/4p turns into 1/12 since p is 3.
(x-h)^2+k turns into (x-0)^2+0, since h and k where the values of the vertex which was 0,0
once all the variables are given values (except x and y) you have made your equation!
The answer is y=1/12(x-0)^2+0

MARK BRAINLIEST! this took forever, and I know this is the right answer since I got a perfect grade when I turned mine in.

8 0

3 years ago

Which transformations of RST will result in the same image? Check all that apply.

Lelechka [254]

Answer:

I think sentences 1 and 2

Step-by-step explanation:

If triangle translated 2 units left, (x,y)-----(x-2,y)

and then reflected over the y-axis, (x-2,y)-----(-x+2,y)

The relation between image and pilgrimage is (x,y)-----(-x+2,y)

The vertices of image are S(-4,4),T(-1,4), R(-1,1)-----S'(6,4),T'(3,4), R'(3,1)

Therefore the vertices of image are S'(6,4),T'(3,4), R'(3,1).

1. A reflection over the y-axis and then a translation 2 units right is defined as (x,y)-----(-x+2,y)

It is equivalent to relation 1, therefore option 1 is correct.

2. A 180 rotation about the origin, then a translation 2 units right, and then a reflection over the x-axis is defined as (x,y)-----(-x+2,y)

It is equivalent to relation 1, therefore option 2 is correct.

3. A reflection over the y-axis and then a translation 2 units left is defined as (x,y)-----(-x-2,y)

It is not equivalent to relation 1, therefore option 3 is incorrect.

4. A 180 rotation about the origin, then a translation 2 units left, and then a reflection over the x-axis is defined as (x,y)-----(-x-2,y)

It is not equivalent to relation 1, therefore option 4 is incorrect.

5. A reflection over the x-axis and then a translation 2 units right is defined as (x,y)-----(x+2,-y)

It is not equivalent to relation 1, therefore option 5 is incorrect.]

6. A reflection over the x-axis and then a translation 2 units left is defined as (x,y)-----(x+2,-y)

It is not equivalent to relation 1, therefore option 6 is incorrect.

So for that reason im pretty sure the correct options are 1 and 2.

8 0

3 years ago