answer:
measure of angle 1 is 130°.
step by step:
angle 8 = 50
angle 6 = 50 (because of vertical angles)
angle 4 = 50 (because fo alternate interior angles)
therefore, angle 1 = 130 (because of linear pairs)
angle 1 and angle 4 add up to 180°
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The <em>correct answer</em> is:
y less than or equal to 0
, or y ≤ 0.
Explanation:
The line drawn tells us what the equation will be that the inequality is formed from. Since the line is a horizontal line, this means it is of the form y=c, where c is some constant.
Since the horizontal line goes through the origin, (0, 0), this means the equation of the line is y=0.
Since the line drawn is solid, this means the inequality symbol will be either greater than or equal to, or less than or equal to. This is because the line is included in the solution set.
Since the graph is shaded below this line, this means our inequality is
y ≤ 0, or
y is less than or equal to 0.
Answer:
Their y-intercepts are equal
Step-by-step explanation:
The y-intercept is the y-value where the function crosses the y-axis. In this problem, functions are presented in 2 ways: algebraically and in a table.
1) Fortunately, the algebraic equation is written in slope-intercept form; this means that intercept is easy to find. The slope-intercept form is y=mx+b, where b is the y-intercept. In function 1, the b value is 10.
2) Another way to describe the y-intercept is the y-value when x=0. So, the y-intercept on a table is wherever the x-value is 0. In this case, the first row represents when x=0. The table says that when x=0, y=10. This means that the y-intercept for function 2 is 10.
Since the y-intercept for both of the functions is 10, it can be said that the 2 functions have equivalent y-intercepts.
Answer:
The answer is $12,000. 12 months × $1,000 per month = $12,000 minimum annual base rent; $435,000 gross sales × 2% = $8,700. The tenant paid $12,000 because the minimum base rent was more than the percentage of gross sales.
Step-by-step explanation:
Answer: 40,320
Step-by-step explanation:
By Permutation,
The number of arrangements for n things is given by n!.
[Here order matters]
Given: Number of people will give a presentation in class =8
Then, the number of different orders = 8!
= 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 40320
Hence, the number of different orders = 40,320
