1. <span>4x – 20 = 5y
so 5y = </span><span>4x – 20
divide both sides by 5
y = (4/5)x - 4
2. x-intercept is at y=0
so (4/5)x - 4 = 0
x = 5
so it is (5,0)
3. y-intercept is at x=0, y = 0 - 4 = -4
so it is (0,-4)
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Because b^6 is present in both terms, we can factor it out.
b^6(7 + 12)
Combine like terms.
b^6(19)
Rearrange.
19b^6 is the fully simplified form of the given expression.
Since 5 winning numbers are draw and there are exactly 2 winning numbers, the other 3 numbers chosen have to be incorrect.
The 2 numbers picked right, there are 5C2=10 different possibilities.
The other 3 numbers are just picked from the rest of the 32 numbers. Getting there are 32C3=4960 different possibilities.
For each set of 2 correct winning numbers, you could have the 4960 different losing numbers to match up to make a unique set. This meant that there are 4690*10=46900 different total possibilities.
Now the total different outcomes of how you can choose the numbers are 37C5=435897 outcomes.
Now the way to find probabilities is want/total
The want is 46900 and the total is 435897
Doing the division you get the number rounded to the nearest thousandths as 0.107 or in percent form as
10.759% chance of picking exactly 2 winning numbers.
This seems like a competition problem of some sort therefore I assume that you already know what combinations in form nCk and permutation in form nPk means.
Answer:c
Step-by-step explanation:
hdjdbx
transverse s at angle 135°
180° - 135° = 45°
Angle 2 is congruent to 45° because they're alternate exterior angles.
transverse t at angle 120°
180° - 120° = 60°
Angle 3 is congruent to 60° because they're alternate exterior angles.
One rule for exterior angles in triangles is that the exterior angle is equal to the sum of the two angles adjacent to the opposite angle of the exterior angle.
135° = angle 1 + 60°
angle 1 = 75°
120° = angle 1 + 45°
angle 1 = 75°
Therefore angle 1 is 75°,angle 2 is 45° and angle 3 is 60°
