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.
The exponent of a number says how many times to use the number in a multiplication.
For Example, In 8² , the 2 is the number of times 8 has to be multiplied. In this case It has to multiplied by itself 2 times, 8x8 = 64 so 8² = 64.
Another example is 9³ since the number above is 3 we have to multiply 9 three times, 9x9x9 = 729 which means 9³ = 729.
Hope this helps
Answer:
Mala had 14 sweets at the start.
Step-by-step explanation:
7 x 2 = 14
To check, 14/2 = 7. (Dividing by 2 is the same as multiplying by 1/2)
Answer:
Yes
Step-by-step explanation:
Yes , if both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram . The parallelogram has opposite sides equal and parallel . Diagonals bisect each other . The sum of alternate angles is 180° and the opposite angles are equal .
