Answer:
x=70, y=55
Step-by-step explanation:
Since the angle "y" and 2x-15 form a straight line, that means the sum of the angles, must be 180 degrees.
So using this we can derive the equation: 
The next thing you need to know is that the sum of interior angles of a triangle is 180 degrees, so if we add all the angles, we should get 180.
So using these we can derive the equation: 
So, in this case we simply have a systems of equations. We can solve this by solving for x in the second equation (sum of interior angles), and plug that into the first equation.
Original Equation:
Subtract 2y from both sides
Now let's plug this into the first equation
Plug in 180-2y as x
Distribute the 2
Combine like terms
Subtract 345 from both sides
Divide both sides by -3
So we can plug this into either equation to solve for x
Substitute in 55 as y
Subtract 110 from both sides
Answer:
25%
Step-by-step explanation:
First we calculate the probability of rolling a number greater than 3, that is, it can be 4, 5 or 6.
The probability of each number is 1/6, so:
P1 = (1/6) + (1/6) + (1/6) = 3/6 = 1/2
Then, we calculate the probability of rolling a prime number, that is, 2, 3 or 5.
As we have again 3 numbers, the probability P2 will also be 1/2
Then, the final probability is the product of both P1 and P2:
P = P1 * P2 = (1/2) * (1/2) = 1/4 = 25%
Answer:2 or 2/1
Step-by-step explanation:
Start a 0
Count up until the line perfectly hits in the center of the lines
Answer:
im pretty sure all you have to do is switch the signs (if its negative it will become positive) but only for the points on the x axis so basically (-12,13) would become (12,13)
Short answer: 100
I assume you want to find x.
We want an equation that says that x is equal to 105cm, minus that 5 percent, because that is his height before the 5% was added. That looks like:
x + 0.05x = 105
(0.05 is 5% in decimal form, which is necessary in equations like this).
x + 0.05x = 1.05x
1.05x = 105.
Isolate x by dividing both sides by 1.05
1.05x / 1.05 = x, 105 / 1.05 = 100
x = 100, so he was 100cm tall before summer
My original answer was 99.75. This is wrong because I used the 5% of 105, which is wrong because in the question it says his original height (which is x) had 5% added to it. So its 5% of x, not 5% of 105. This changes the whole equation.
