Since these are supplementary angles (two angles which sum to 180°) we can say:

4x+x=180 combine like terms on left side

5x=180 divide both sides by 5

x=36°

3 0

3 years ago

The point B(1, 1) is rotated 90° counterclockwise around the origin. What are the co

Thepotemich [5.8K]

Given that the point B is (1,1) is rotate 90° counterclockwise around the origin.

We need to determine the coordinates of the resulting point B'.

<u>Coordinates of the point B':</u>

The general rule to rotate the point 90° counterclockwise around the origin is given by

$(x, y) \rightarrow(-y, x)$

The new coordinate can be determined by interchanging the coordinates of x and y and changing the sign of y.

Now, we shall determine the coordinates of the point B' by substituting (1,1) in the general rule.

Thus, we have;

Coordinates of B' = $(1,1) \rightarrow(-1,1)$

Thus, the coordinates of the resulting point B' is (-1,1)

3 0

2 years ago

In a recent survey 7 out of 10 people prefer coffee in the morning the rest said they prefer tea if 27 people said they prefer t

prohojiy [21]

<span>To find the answer to this equation, use the result of "27 people" who prefer tea. This is equivalent to 3 out of 10 people in the whole survey sample. Using equivalent fractions to find the total sample, we see that "3/10 = 27/x." Multiplying 3 by 9 gives 27, so multiplying 10 by 9 gives a total sample size of 90 people.</span>

8 0

3 years ago