Answer:
1/2
Step-by-step explanation:
slope equals rise over run, so you go from your first point which is (0,0) and go up to (2,1), so you rise one and then go over 2, which gives you 1/2
Answer:
x = 90, y = 43
Step-by-step explanation:
By the SAS theorem (as you can tell by the picture) angles B and C are similar, which means they are both 47 degrees.
Since the triangles are similar (SAS theorem) then angle x must be equal to 90 degrees, because they are on a straight line both angles would need to add up to 180 degrees.
Now that you have two angles out of three, you can solve for the last angle by setting up this equation:
B + D + A = 180
47 + 90 + A = 180
Add 47 and 90 together.
137 + A = 180
Subtract 137 from both sides.
A = 43
x = D and y = A, therefore x = 90 and y = 43.
This is subtraction property of equality.
Answer:B)
A withdrawal from an account means taking money out of your account. That means whatever money you have in there becomes a smaller amount because you're subtracting money from the account.
So, to work out how much money Jan withdrew as a negative sum, you just have to look at how much she took out:
-25 - 45 - 75 = -$145
This means Jan took out $145 from her account, and we write it with a negative sign because it's money that's going to be taken away from whatever's in there.
The same thing applies to Julie:
-35 - 55 - 65 = -$155
Julie took out $155 from her account, so her withdrawals were -$155.
Therefore, your final answer for 24a. is -$145 and your answer for 24b. is -$155.
