Solution:
<u>Note that:</u>
- AB = EF
- BC = EG = 6x - 8
- 7x - 19 = 2x + 11
- Perimeter of triangle: 24 + 2x + 11 + 6x - 8
<u>Solving for x:</u>
- 7x - 19 = 2x + 11
- => 7x - 2x = 19 + 11
- => 5x = 30
- => x = 30/5 = 6
<u>Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8): </u>
- 24 + 2x + 11 + 6x - 8
- => 24 + 2(6) + 11 + 6(6) - 8
- => 24 + 12 + 11 + 36 - 8
- => 24 + 12 + 3 + 36
- => 75 units
The perimeter of the triangle ABC is 75 units.
I think the correct answer from the choices listed above is option A. The statement that determines how many batches of cookies he can make would be that he <span> can make fewer than 13 batches of cookies. Hope this answers the question. Have a nice day.</span>
Answer:
Domain: {-2,6,18}
Range: {-1,2,3}
This relation is not a function.
Step-by-step explanation:
The domain is all of the x values given listed in order from least to greatest and not repeating any numbers. The range is the same thing, but with the y values given. This is not a function because multiple ordered pairs have more than one output for the input. Let's take -2 in these ordered pairs. It has two different outputs, 3 and 2. Because of this, it is not a function.
Hope this helps!!
Answer:
Step-by-step explanation:
If the Number of Sales of x units, N(x) is defined by the function:
Next, we text the critical points and the end points of the interval to see where the derivative is increasing.
Thus, the rate of change of sales is increasing in the interval on 10≤x≤40.
Answer:
P (not drawing a black marble) = 4/5
P (red marble) = 3/10
Step-by-step explanation:
The total number of marbles is
5 blue marbles +2 black marbles+ 3 red marbles = 10 marbles
P (not drawing a black marble) =
The marbles that are not black/ total marbles
(blue + red)/ total
(5+3)/10
8/10
4/5
P (red marble) = red marble/ total
= 3/10