Answer:
x = 13°
Step-by-step explanation:
5x+15°=7x-11°
5x-7x = -11°-15°
-2x = -26° divide both sides by -2
x = 13°
5x+15° = 5×13°+15° = 80°
7x-11° = 7×13° -11°. = 80°
1/5 is equal to 2/10 so the one with 3/10 has more
Answer:
x = -4
Step-by-step explanation:
You kind of didn't capture the directions in your image, but it looks like maybe they want you to write the equation of the line.
So this is what you need to know: the equation of a vertical (up and down) line is
x = anumber
For future reference on the next question, the equation of a horizontal (flat, left and right) line is
y = anumber
For this question, though, it's vertical.
so x = -4
You can check by picking as many points as you like and find that they ALL have -4 as the x value. Also, you will find the slope formula gives you an answer that is undefined. That's why you can't write an equation using y=mx+b. Hope this helps! I can edit if the question is something wildly different for real.
We will be using the Angle Addition Postulate in this problem.
This states that if <em>c</em> is on the interior
of <ABD, then m<ABC + m<CBD = m<ABD.
Since m<ABC is 4x + 2, m<CBD is 3x - 7, and m<AVD is 100,
our equation will be 4x + 2 + 3x - 7 = 100.
Solving from here, we first simplify the left side to get 7x - 5 = 100.
Now add 5 to both sides to get 7x = 105.
Dividing both sides by 7, we find that <em>x = 15</em>.
Now we can use the value of x to help us find m<ABC.
Since the m<ABC is 4x + 2, we can substitute a 5 in for x.
This gives us 4(15) + 2 or 60 + 2 which is 62.
So m<ABC is 62°
Answer:
42% of the students prefer a concert over a movie.
A greater ratio of 11th graders prefer a concert to a movie.
The difference in the percent of students who prefer a movie over a concert is16%.
Step-by-step explanation:
10th 11th 12th total
movie .18 .16 .24 .58
concert .15 .18 .09 .42
total .33 .34 .33 1
The marginal relative frequency for 10th graders is 0.18. This is an incomplete statement
The marginal frequency is a number not a percent
42% of the students prefer a concert over a movie. 42% preferred a convert to the 58% who preferred a movie. True
A greater ratio of 11th graders prefer a concert to a movie. 18/100 concert to 16/100 for the movie for 11th graders
18:16 This is true
More 12th graders were surveyed than any other grade level.
There were more 11th graders surveyed (34%) to (33%) for 12 graders False
The difference in the percent of students who prefer a movie over a concert is16%. True
