It is triangle ACK by the rule of AAS.
Angle, Angle, Side
Standard form: Ax + by =C
so
y+ 1 = 3/4(x - 16)
4(y + 1) = 3(x - 16)
4y + 4 = 3x - 48
3x - 4y = 52
Answer is D. last option
3x - 4y = 52
Answer:
<em>-1,3,5,9,13</em>
Step-by-step explanation:
2(-3)+5=-6+5=-1
2(-1)+5=-2+5=3
2(0)+5=0+5=5
2(2)+5=4+5=9
2(4)+5=8+5=13
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:
This is also known as the Counting rule.
The Fundamental Counting Principle is used in determining all the possible outcomes and the total possible ways different events can be combined with each other. It is usually done by multiplying all the events together to get the total possible outcome. Doing this also helps in determining the sample space of a probability.
For example there are events a, b and c. The total sample space or possible outcome will be a*b*c.
