Find the measure of the reference angle for each given angle. Part 1

Mathematics

1 answer:

bezimeni [28]3 years ago

5 0

Answer:

10. 85°

11. 70°

12. 50°

Step-by-step explanation:

Please see attached picture for full solution.

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Score: 0 of 1 pt

nignag [31]

Answer:

1/18

Step-by-step explanation:

10 over 180 (60 minutes * 3 hours) = 10/180 = 1/18

6 0

4 years ago

#19 apparently it has 8 lines of symmetry (according to the answer key) :/ pls explain how thx

zzz [600]

If u connect each of the triangle shape thingy all the way to the other side it makes 4 lines of symmetry then if u go between the triangles you will get another 4 lines of symmetry which gives u 8 lines of symmetry

4 0

3 years ago

George found that he blinked 85 times in 15 minutes. At this rate, how many SECONDS passed during 51 blinks?

Nady [450]

To solve this first we have to find out how many seconds are in 15 minutes.
So, 15 x 60 since there is 60 seconds in a minute, and of course there are 15 minutes.

15 x 60 = 900 seconds.

Now we need to find out about how many seconds does it take George to blink once. So we divide 900 seconds by 85 blinks.

900 / 85 = About 11 seconds for one blink.

Now we use the rate of 1 blink = 11 seconds and multiply. Since they said 51 blinks you would multiply 51 blinks by 11 seconds.

51 x 11 = About 561 seconds.

Answer: About 561 seconds passed in 51 blinks.

6 0

3 years ago

Write the equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6)

Lady bird [3.3K]

Answer <u>(assuming it can be in slope-intercept form)</u>:

$y = -2x +10$

Step-by-step explanation:

1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula $y = mx + b$ . Isolate y:

$2x + y = 3\\y = -2x + 3$

The number in place of $m$ , or the coefficient of the x-term, represents the slope of the equation. So, the slope of the given equation is -2.

Lines that are parallel share the same slope. So, the slope of the new equation will be -2 as well.

2) Now, remember that the slope-intercept form is represented by the formula $y = mx + b$ . In order to write an equation of a line using that formula, we need to substitute values for $m$ and $b$ . We know $m$ is the slope, so we already know what that equals. Now, we just need to find $b$ .

To do that, substitute -2 for $m$ in the slope-intercept formula. Additionally, substitute the x and y values of the point (2,6) for the x and y in the formula as well. This sets up the equation so that we can isolate $b$ and find its values:

$y = mx +b\\6 = (-2)(2)+b\\6 = -4 + b\\10 = b$