Okay, first let's look at what they give us!
The measure of angle 2 is 3x + 1
Measure of angle 3 is 2x + 4
And they give us that one angle is right which means it is 90°
Now if we use what we know of triangles, we know that all the angles in a triangle add up to equal 180 which means if we add angle 2, angle 3, and the right angle together we should get 180. Let's write an equation for it:
3x + 1 + 2x + 4 + 90 = 180
First we will add together liked terms!
3x + 2x = 5x
1 + 4 + 90 = 95
This gets us:
5x + 95 = 180
Second, let's get rid of that 95 by subtracting it from both sides, after doing this it should leave us with:
5x = 85
Third we need to get the x by itself and we can do it by dividing both sides by 5 to get:
x = 17
Now the question asks to find the measure of angle 2, given that angle 2 is 3x + 1 all there is left to do is to plug in 17 for x!
3(17) + 1
51 + 2 to get us 52!
Answer: 52
It is experimental (aka empirical) because its based on prior data recorded from past games of the current season or prior seasons. Empirical probability is always based on past data. Another example is let's say you flipped a coin 10 times and got 4 tails, so that means the empirical probability of getting tails is 4/10 = 0.4. The theoretical probability is 0.5 if its assumed each side is equally likely to be landed on.
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Answer:
The answer is 1/2 inches
Step-by-step explanation:
Answer:
$7.20
Step-by-step explanation:
The formula for simple interest is I = Prt, where P = principal, r = interest rate, t = time (usually in years), and I = amount of simple interest.
Thus, the answer is $7.20.
