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.
If the area is 90 square units. Then the dimension of the rectangle will be 5 units and 18 units.
<h3>What is the area of the rectangle?</h3>
Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L×W square units
The width of a rectangle is 13 units less than the length.
If the area is 90 square units.
W = L – 13
Then we have
90 = L(L – 13)
L² – 13L – 90 = 0
L² – 18L + 5L – 90 = 0
L(L – 18) + 5(L – 18) = 0
(L – 18)(L + 5) = 0
L = -5, 18
Then the width will be
W = 18 – 13
W = 5 units
Then the dimension of the rectangle will be 5 units and 18 units.
More about the area of the rectangle link is given below.
brainly.com/question/20693059
#SPJ1
Her argument is true because you can tell 492,111 and 409,867 are closer 1,025,680 snd 45,760 is alot farther away. Glad to help
Answer:
120
Step-by-step explanation:
all you have to do is twenty times six
You only need two points to describe a linear equation because there are only two unknowns from y=mx+b, namely m, the slope and b the constant or y-intercept.
You can find the slope by finding the change in y divided by the change in x from any two points...here I'll use (0,5) and (1,3)...so the slope or m is:
m=(dy/dx)=(3-5)/(1-0)=-2 now are line so far is:
y=-2x+b and we can use any point now to solve for be, I'll again use (1,3)
3=-2(1)+b
3=-2+b
5=b now we have solved for both m and b our line is:
y=-2x+5
