Answer:
Hypotenuse² = Base² + Altitude²
35² = 15² + x²
1225 = 225 + x²
x² = 1225 - 225
x² = 1000
<u>X = 10√10</u>
It's 85 degrees. Hope this helps
Answer:
7/13
Step-by-step explanation:
P(A or B) = P(A) + P(B) − P(A and B)
P(red or jack) = P(red) + P(jack) − P(red and jack)
P(red or jack) = 26/52 + 4/52 − 2/52
P(red or jack) = 28/52
P(red or jack) = 7/13
The solution of the equation are as follows:
x = 6 and y = -5
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<h3>How to solve the system of equation?</h3>
4x + 5y = -1
-5x - 8y = 10
Therefore,
20x + 25y = -5
-20x - 32y = 40
-7y = 35
y = -5
Hence,
4x + 5(-5) = -1
4x - 25 = -1
4x = -1 + 25
4x = 24
x = 24 / 4
x = 6
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Well, we need to consider the x and y coordinates of the giben points, and check wether the y coordinate is greater than twice the x coordinate minus 1 (i.e. 2x-1):
- For the first point, the x coordinate is 0. So, 2x-1 = -1. The y coordinate is 2, and 2>-1. So, this point is a solution.
- For the second point, the x coordinate is 4. So, 2x-1 = 7. The y coordinate is 2, and 2<7. So, this point is not a solution.
- For the third point, the x coordinate is 0. So, 2x-1 = -1. The y coordinate is -10, and -10<-1. So, this point is not a solution.
- For the fourth point, the x coordinate is 4. So, 2x-1 = 7. The y coordinate is 1, and 1<7. So, this point is not a solution.