Answer:
x = 30 ∠A = 132 degrees
Step-by-step explanation:
Set the equations equal to each other to solve for x
5x - 18 = 3x + 42
-3x - 3x Subtract 3x from both sides
2x - 18 = 42
+ 18 + 18 Add 18 to both sides
2x = 60 Divide both sides by 2
x = 30
Now plug this into the equation for angle A
∠A = 5(30) − 18 Multiply
∠A = 150 - 18 Subtract
∠A = 132 degrees
If this answer is correct, please make me Brainliest!
The answer is A because the variable can’t be no lower than 3 and every other answer has 2 in it. 2•(3) is equal to 6 and 2•(4) is greater than 6 which correlates with the sign (greater than or equal to).
Answer:
Step-by-step explanation:
Total number of red disk=6
Total number of yellow disk=2
Total disk=6+2=8
Odd number=1,3,5,7=4
Odd number on red disk=1,3,5=3
Probability,
Using the formula
The probability of getting odd number disk=
The probability of getting odd numbered red disk=
The probability of selecting a red disk,given that an odd numbered disk is selected=
Using conditional probability
Answer:
Number of nickels = 17
Number of dimes = 23
Step-by-step explanation:
Let
x = number of nickels
y = number of dimes
x + y = 40 (1)
0.05x + 0.10y = 3.15 (2)
From (1)
x = 40 - y
Substitute x = 40 - y into (2)
0.05x + 0.10y = 3.15 (2)
0.05(40 - y) + 0.10y = 3.15
2 - 0.05y + 0.10y = 3.15
- 0.05y + 0.10y = 3.15 - 2
0.05y = 1.15
y = 1.15/0.05
y = 23
Substitute y = 23 into (1)
x + y = 40 (1)
x + 23 = 40
x = 40 - 23
x = 17
Number of nickels = 17
Number of dimes = 23
To solve this, first subtract 3kx from both sides so that both the x variables are on the same side. This will result in: 24=9kx-3kx.
Since 9kx and -3kx are like terms, they will combine and you will get 24=6kx
Now, divide 6k from both sides to isolate x and you get x=24/6k.
However, you notice that 24 and 6k both have a common factor which is 6, so you simplify 24/6k to 4/k which gives you your answer of x=4/k
