Answer:
mean
Step-by-step explanation:
mean .
mean is regarded as the average value calculated from a data set .
mean = total sum of values / total number of values.
Answer:
∠A = 30°
∠B = 60°
∠C= 90°
Step-by-step explanation:
This is a right triangle, you can see it mainly by the red square in C, and it is always used to mark 90 degrees.
Knowing that, you now know <em>∠C is 90°</em>
Now, to find ∠B, you should use the following equation:
This means that the sum of the three angles of a triangle gives 180. ALWAYS. So to find the missing angle, ∠B, do the following:
Fill the values of the equation with the angles you now know:
Solve the equation, passing the 30° and 90° to the other side of the equal sing with Inverse Operation:
<em>B = 60</em>
<em>Hope it helps!!</em>
If you're only provided with the lengths of a triangle, and you're asked to determine whether or not the triangle is right or not, you'll need to rely on the Pythagorean Theorem to help you out. In case you're rusty on it, the Pythagorean Theorem defines a relationship between the <em>legs</em> of a right triangle and its <em>hypotenuse</em>, the side opposite its right angle. That relationship is a² + b² = c², where a and b are the legs of the triangle, and c is its hypotenuse. To see if our triangle fits that requirement, we'll have to substitute its lengths into the equation.
How do we determine which length is the hypotenuse, though? Knowledge that the hypotenuse is always the longest length of a right triangle helps here, as we can clearly observe that 8.6 is the longest we've been given for this problem. The order we pick the legs in doesn't matter, since addition is commutative, and we'll get the same result regardless of the order we're adding a and b.
So, substituting our values in, we have:
(2.6)² + (8.1)² = (8.6)²
Performing the necessary calculations, we have:
6.76 + 65.61 = 73.96
72.37 ≠ 73.96
Failing this, we know that our triangle cannot be right, but we <em>do </em>know that 72.37 < 73.96, which tells us something about what kind of triangle it is. Imagine taking a regular right triangle and stretching its hypotenuse, keeping the legs a and b the same length. This has the fact of <em>increasing the angle between a and b</em>. Since the angle was already 90°, and it's only increased since then, we know that the triangle has to be <em>obtuse</em>, which is to say: yes, there's an angle in it larger than 90°.
Answer:
We know that the factors of the number 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
Step-by-step explanation:
so it would be 1,2,3,5,6,9 hope it helps :)
Suppose nick spent x number of tokens on day 1
So he spent x + 5 on day 2
He spent x + 10 on day 3
He spent x + 15 on day 4
He spent x + 20 on day 5
On day 6 he spent x + 25
And on day 7 he spent x + 30
So in all he spent
x + x + 5 + x + 10 + x + 15 + x + 20 + x + 25 + x + 30
= 7x + 105
But total token spent = 203
So
7x + 105 = 203
Subtracting 105 from both sides
7x = 203 - 105
7x = 98
Dividing by 7 on both sides
x = 14
So on third day he spent x + 10
= 14 + 10
= 24 tokens
Tokens spent on day 3 = 24
