An obtuse angle is an angle with more than 90 degrees and less than 180. so, we can add < 180 and > 90 to the expression, making it the inequality 180 < 3x + 24 > 90. we then solve.
3x + 24 > 90 and 3x + 24 < 180
3x > 66 and 3x < 156
x > 22 and x < 52
so x can be anything more than 22 and less than 52 (it cannot be 52 or more or 22 or less)
hope this helps!
Answer:
A = -1
So, option (B) is the correct answer.
Step-by-step explanation:
The two points on line have coordinates: p (x₁, y₁) = (0, A) and q(x₂, y₂) = (2 , -3)
Slope of line = A
Slope of line = ![\frac{y_{2} - y_{1}}{x_{2} -x_{1}}](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D%20-%20y_%7B1%7D%7D%7Bx_%7B2%7D%20-x_%7B1%7D%7D)
Now since the slope of line is A and its has two coordinates (0, A) and (2 , -3), ∴
![A = \frac{y_{2} - y_{1}}{x_{2} -x_{1}}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7By_%7B2%7D%20-%20y_%7B1%7D%7D%7Bx_%7B2%7D%20-x_%7B1%7D%7D)
![A = \frac{-3 - A}{2 - 0}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B-3%20-%20A%7D%7B2%20-%200%7D)
![2A = -3 - A](https://tex.z-dn.net/?f=2A%20%3D%20-3%20-%20A)
![2A + A = -3](https://tex.z-dn.net/?f=2A%20%2B%20A%20%3D%20-3)
![3A = -3](https://tex.z-dn.net/?f=3A%20%3D%20-3)
![A = -1](https://tex.z-dn.net/?f=A%20%3D%20-1)
So, option (B) is the correct answer.
No because 5 quarts are greater than 1 quart and 3 quarts are greater than 1 quart.
I answer this question before this is the solution just change the total of $2750:
Two mechanics worked on a car, The first mechanic worked for 20 hours and the second mechanic worked for 5 hours together they charged a total of $1150.
Let's make,
mechanic #1's rate = x
mechanic #2's rate = y
* Their rate is dollars per hour ($/hr)
mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1
and mechanic #2 worked for 5 hours
5y = money earned by mech#2
together they charged a total of $1150. So the amount of money earned by both mechanics.
20x + 5y = 1150
the sum of the two rates was $95 per hour.
x + y = 95
which means
x = 95 - y
plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.
20(95 - y) + 5y = 1150
solve for y
1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr
Now use this to solve for x
x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr
mech#1 charged 45$/hr
mech #2 charged 50$/hr
19
Explanation: shoes are worth 10. The boy is worth 5 and the paper 4