Answer:
70 degrees
Opposite angles are equal to each other
The total ratio is 5
The number of comedy movies watched is 12
The number of other movies watched is 18
<h3>What is a ratio?</h3>
Ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. Therefore,
He has watched 2 comedy movies for every 3 other movies. The total movies he has watched is 30. Therefore,
Ratio of comedy to total movies is as follows:
number of comedy movies watched = 2 / 5 × 30 = 60 / 5 = 12
number of other movies watched = 3 / 5 × 30 = 90 / 5 = 18
Therefore,
total ratio = 5
number of comedy movies watched = 12
number of other movies watched = 18
learn more on ratios here: brainly.com/question/10080852
Answer:
x=8
z = 115
Step-by-step explanation:
65 and 13x - 39 are vertical angles so they are equal
65 = 13x - 39
Add 39 to each side
65+39 = 13x - 39+39
104 = 13x
Divide each side by 13
104/13 = 13x/13
8 =x
65 and z are supplementary angles because they form a straight line. This means they add to 180
65+z = 180
Subtract 65 from each side
65+z-65 = 180-65
z = 115
Answer:
Step-by-step explanation:
<u>Find zeros first:</u>
- x² + x - 6 = x² + 3x - 2x - 6 = x(x + 3) - 2(x + 3) = (x - 2)(x + 3)
- x = 2, x = -3, x = 7 (but x ≠ 7 as no division by zero)
<u>We have 4 intervals:</u>
- x ≤ - 3, three negatives, the result is negative or zero
- -3 ≤ x ≤ 2, two negatives and one positive, the result is positive or zero
- 2 ≤ x < 7, two positives and one negative, the result is negative or zero
- x > 7, three positives, the result is positive or zero
<u>The solution is:</u>
Correct choice is A
