One of the unknown angles (let's called it n) has a complement (meaning their sum adds up to 90 degrees) and the other angle is 8 times the unknown angle (8n)
With all this information, you should have the equation:
n + 8n = 90
To solve, combine like terms to get:
9n = 90
Divide by 9 on both sides to isolate the variable n.
n = 10
Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees.
This question is not correctly written
Complete Question
The Henderson Hawks minor-league baseball team is giving away baseballs an
game. The balls cost $3 each and the towels cost $2 each. The team wants to give away 200 items and have 500 to spend. How many of each item should the team give away Show your
work or explain your reasoning.
Answer:
They should give away 100 balls and 100 towels
Step-by-step explanation:
Let the number of balls = x
Let the number of towels = y
x + y = 200........ Equation 1
y = 200 - x
$3 × x + $2 × y = $5000
3x + 2y = 5000...... Equation 2
3x + 2(200 - x)= 5000
3x + 400 - 2x = 5000
Collect like terms
3x - 2x = 500 - 400
x = 100
Number of balls to be given away = 100
Note:
y = 200 - x
y = 200 - 100
y = 100
Number of towels to be given away = 100
Therefore, they should give away 100 balls and 100 towels
Answer:
2100
Step-by-step explanation:
In how many ways can a group of 10 people be divided into three groups consisting of 2,3, and 5 people?
First, you need to choose 4 people to fill the first group.
The number of ways is (104) which equals to 210.
Then, pick 3 more people out of the remaining 6 to be in the second group. And then, pick 3 more out of the remaining 3.
However, we need to divide it by 2, since we don’t really care on the order of selection of group.
(63)(33)/2=10
So, there are 210 x 10 = 2100 ways
Answer:
a) -7 & b) -6
Step-by-step explanation:
Here,
a) x = 0
Solution ↦
b) x = -1
Solution ↦
