A triangle is 180°. So you can do:
3.2n + 6.4n + 2.4n = 180 Simplify
12n = 180
n = 15 Now that you know the value of n, you can plug it into each individual angle/equation
∠X = 3.2n plug in 15 for n
∠X = 3.2(15)
∠X = 48°
∠Y = 6.4(15)
∠Y = 96°
∠Z = 2.4(15)
∠Z = 36°
Answer:
Function 2 has a greater y intercept
Step-by-step explanation:
Function 1 has a y intercept of -6.5
This is where the value of the input is zero
Function 2 has a y intercept of -6
This is where it crosses the y axis and the input is zero
Function 2 has a greater y intercept is -6>-6.5
Answer:
7
Step-by-step explanation:
This is the sum of the first three terms of a geometric sequence, where the first term is 4 and the common ratio is ½.
We can use a formula to find the sum, or, since there's only three terms, we can find the value of each term then add up the results.
4 · (½)¹⁻¹ = 4
4 · (½)²⁻¹ = 2
4 · (½)³⁻¹ = 1
4 + 2 + 1 = 7
Make a scenario with a yard
Answer: The loser's card shows 6.
Explanation: Let's start by naming the first student A and the second student B.
Since the product of A and B are either 12, 15, or 18, let's list every single possibility, the first number being A's number and the second number being B's number.
1 12
1 15
1 18
2 6
2 9
3 4
3 5
3 6
4 3
5 3
6 2
6 3
9 2
12 1
15 1
18 1
Now, the information says that A doesn't know what B has, so we can immediately cross off all of the combinations that have the integer appearing once and once ONLY off, because if it happened once only, A would know of it straight away. Now, our sample space becomes much smaller.
1 12
1 15
1 18
2 6
2 9
3 4
3 5
3 6
6 2
6 3
Using this same logic, we know that we can cross off all of the digits that occur only once in B's column.
2 6
3 6
Now, A definitely knows what number B has because there is only one number left in B. Hence, we can conclude that the loser, B, has the integer 6.
