For the first triangle the sum of angles in any given triangle is equal to 180 degrees.

The equation for the first triangle would be: 60+80+x+51= 180

Solving it we get: 191+x=180
x=-11.

The second triangle’s equation is: 90+45+52+x= 180

Solving it we get: 187+x=180
x=-7

The third triangle’s equation is: 4+7x= 90
This is because it is a right angle.

Solving it we get: 12.2 (rounding)
x=about 12.2

For the fourth triangle the equation is: 6x-5+5x=105 (we subtract 75 to 180 to get the sum of the other two angles)

Solving it we get: 11x=110
x=10.

Hope this helps! ( and if you can please give brainliest, it would mean a lot!)

6 0

2 years ago

Read 2 more answers

Vertically stretched by a factor of 2, then translated<br> 4 units left and 1 unit down

drek231 [11]

A vertical stretch of scale factor 2, followed by a translation of 4 units left and 1 unit down is written as:

g(x) = 2*f(x + 4) - 1

<h3>How to write the given transformation?</h3>

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x).

<u><em>Horizontal translation:</em></u>

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

If N is positive, the shift is to the left.
If N is negative, the shift is to the right.

<u><em>Vertical translation:</em></u>

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

If N is positive, the shift is upwards.
If N is negative, the shift is downwards.

So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:

g(x) = 2*f(x)

Then we translate it 4 units left:

g(x) = 2*f(x + 4)

Then we translate 1 unit down:

g(x) = 2*f(x + 4) - 1

This is the equation for the transformation.

If you want to learn more about transformations, you can read:

brainly.com/question/4289712

6 0

1 year ago