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:
i'm not sure if this all correct
Step-by-step explanation:
part A you start at 8 from the first participant then you take away one from the last one. you add up all the numbers up to get the answer. 8+7+6+5+4+3+2+1=36.
part B the first part is 1x1x1x1x1x1x1x1=1. the second part is 8x7x6x5x4x3x2x1= 40,320. the third part is 1/40320
Answer:
B) $2508.53
Step-by-step explanation:
Please refer to the attached image for explanations
If we put it into an equation, and x was blue markers, we could say:
7x + x = 32
Then you'd simplify:
8x = 32
Then solve:
8x = 32
÷ 8
x = 4.
So now we know that there are 4 blue markers, we can multiply 4 by 7 to get the amount of red markers, which is 28. Hope this helps!
<h2>Hello!</h2>
The answer is: All of the above.
<h2>Why?</h2>
First, we need to know that both triangles have the same dimensions:
If two triangles have the same side length, the angles will be the same two.
Hence,
If both triangles have the same side length, they are congruent according to the Side-Side-Side(SSS) triangle congruence theorem. It also means that:
Both triangles have the same angles, meaning that its angles are congruent. If there is at least one angle which is congruent, and there are at least two sides that are equal for both triangles, the triangles are congruent according to the Side-Angle-Side (SAS) triangle congruence theorem.
If two angles and at least a side are congruent, the triangles are congruent. According to the Angle-Side-Angle(ASA), if two angles and the included side are congruent, the triangles are congruent.
For this case, each theorem will be satisfied because the triangles have the same side length, meaning that all of the above theorem can prove that the triangles ABC and DEF are congruent.
Have a nice day!