Answer:
<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>
Step-by-step explanation:
Let's recall that the interior angles of a triangle add up to 180°, therefore we have:
Smallest angle = x
Largest angle = 7x
Third angle = 7x - 15
Now, we can solve for x, using the following equation:
x + 7x + 7x - 15 = 180
15x = 180 + 15
15x = 195
x = 195/15
x = 13 ⇒ 7x = 91 ⇒ 7x - 15 = 76
<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>
Answer:
x = 9
Step-by-step explanation:
Take the angle of LOJ (3x) and JOK (2x+12).
LOJ + JOK = LOK.
LOK = 57.
So, 3x + 2x + 12 = 57
3x + 2x = 5x
5x + 12 = 57
57 - 12 = 45
5x = 45
x= 9
<h3>
Answer: 680 different combinations</h3>
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Explanation:
If order mattered, then we'd have 17*16*15 = 4080 different permutations. Notice how I started with 17 and counted down 1 at a a time until I had 3 slots to fill. We count down by 1 because each time we pick someone, we can't pick them again.
So we have 4080 different ways to pick 3 people if order mattered. But again order doesn't matter. All that counts is the group itself rather than the individual or how they rank. There are 3*2*1 = 6 ways to order any group of three people, which means there are 4080/6 = 680 different combinations possible.
An alternative is to use the nCr formula with n = 17 and r = 3. That formula is

where the exclamation marks indicate factorials
Answer:
The graph will be an exponential function that crosses the y-axis at about (0, -4).
Step-by-step explanation:

That means that when x = 0...




So, the graph will be an exponential function that crosses the y-axis at about (0, -4).
Hope this helps!