The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 45 are 1, 3, 5, 9, 15, 45
Hence the common factors are only 1 and 5.
The highest common factors in this case is only 5.
Hope this helps : )
Answer: Choice C
x/w and z/(y+v)
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Explanation:
All answer choices have that first fraction with a denominator of w. This implies that AB = w is the hypotenuse. This only applies to triangle ABD.
Focus on triangle ABD. It has an opposite leg of AD = x, when the reference angle is ABD (or angle B for short).
So we can say sin(ABD) = opposite/hypotenuse = AD/AB = x/w
x/w is one of the answers
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Also note how y+v is the same for each denominator in the second fraction. y+v is the hypotenuse of triangle ABC. When the reference angle is ABD (aka angle ABC), the opposite side of this same triangle is AX = z
Therefore,
sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)
z/(y+v) is the other answer
Side note: triangle ACD is not used at all.
Answer:
Slope = y2-y1/x2-x1
Slope = (7-3)/(3-1)
Slope = 4/2
Slope 2
Let me know if this helps!
First of all, x =-1 (y don’t change) so first 2 answer is out.
Now mirror to x-1 >>>
A(0,-1)
0 >> -1 is left one step so -1 left one step is -2
A(0,-1) >> A’(-2,-1)
A(-5,0)
-5 >> -1 is right 4 step so -1 right 4 step is 3
A’(3,0)
This is correct
Answer is D
You can see explain here:
https://youtu.be/Zro30Ui9FXs
Wouldn’t be 0 because that’s where the line cross the middle line