Answer:
x = 59
Step-by-step explanation:
Here, we want to get the value of x
To do this, we use an important arc-angle relationship
we have this as:
x = (36 + 82)/2
x = 59
Answer:
1) x ≤ 2 or x ≥ 5
2) -6 < x < 2
Step-by-step explanation:
1) We have x^2 - 7x + 10, so let's factor this as if this were a regular equation:
x^2 - 7x + 10 = (x - 2)(x - 5)
So, we now have (x - 2)(x - 5) ≥ 0
Let's imagine this as a graph (see attachment). Notice that the only place that is above the number line is considered greater than 0, and that's when x ≤ 2 or x ≥ 5 (the shaded region).
2) Again, we have x^2 + 4x - 12, so factor this as if this were a regular equation:
x^2 + 4x - 12 = (x + 6)(x - 2)
So now we have (x + 6)(x - 2) < 0
Now imagine this as a graph again (see second attachment). Notice that the only place that is below 0 (< 0) is when -6 < x < 2 (the shaded region).
Hope this helps!
Answer:
H=81
Step-by-step explanation:
If 9=h/9 you multiply both sides by 9 to get h by itself, and end up with h=81.
Answer B
Step-by-step explanation:
Your answer should be written in paragraph/essay format.
Any sources used should be cited at the bottom of your paper.
All answers should show you have learned something from Unit 9. Material from other units will not be graded for this assignment.
If you are stuck, you can think about the following topics: textile mills, interchangeable parts, the Lowell System, unions, labor reform, steamboats, railroads, coal, the telegraph, and/or new inventions.
Using proportions, it is found that he has 14 more basketball tickets than baseball tickets.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
His proportion of baseball to basketball tickets is of 3:5. He has 21 baseball tickets, hence the amount of basketball tickets is found according to the following<em> rule of three</em>:
3/5 = 21/x
Applying cross multiplication:
3x = 105
x = 105/3
x = 35.
The difference is given by:
35 - 21 = 14.
He has 14 more basketball tickets than baseball tickets.
More can be learned about proportions at brainly.com/question/24372153
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