What is the value of x and the last answer is 30

x=30

Step-by-step explanation:

The two angles are on a straight line, so they are supplementary. They add to 180 degrees.

4x+20+40=180

Combine like terms

4x+60=180

Subtract 60 from both sides

4x+60-60=180-60

4x=120

Divide both sides y 4

4x/4=120/4

x=30

30°

Step-by-step explanation:

The two angles: 4x + 20° and 40° are supplementary.

This means that when added, they will equal 180°. I know that these angles are supplementary because they form a straight line.

Let's write this as an equation:

4x +  20° + 40° = 180°

Solve:

4x + 20 + 40 = 180

Combine like terms (add 20 and 40):

4x + 20 + 40 = 180

4x + 60 = 180

Subtract 60 on both sides:

4x + 60 = 180

     -60     -60

4x = 120

Divide by 4 on both sides:

4x = 120

/4     /4

x = 30

Therefore, the value of x is 30 degrees.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

29 is the correct answer

step-by-step explanation: