Answer:
a. 21: 45
d. 63: 135
Step-by-step explanation:
Ratio or Relationship of two quantities is the result of comparing two quantities.
Such a comparison could be indicated as a reason, in four different ways, in this way:
1)a: b
2)a ÷ b
3)a/b
d)The reason for a is a b.
Equivalent ratios can be used to show the same relationship between two quantities. Remember that the word "equivalent" means the same.
Problem development
We observe what are the equivalent relationships 7:15 and conclude that they are the following:
a.To find the equivalent ratio, we divide the numerator and denominator by the same number , In this case we divide by 3:
21: 45 = 21/45 = 21÷3 /45÷3 = 7/15
d.To find the equivalent ratio, we divide the numerator and denominator by the same number , In this case we divide by 9:
63: 135= 63/135 = 63÷9 /135÷9= 7/15
Answer:
its the 3rd choice.
Step-by-step explanation:
Firstly, we find angle BDC (180-90-30=60)
Now that we found it we can use the sine rule to find DB (which i put as an x), which is sin60/14=sin30/x, by cross multiplication, we find that its equal to a decimal number, i will use its root version to this easier, its equal to 14sqrt3/3 inches.
And now we use the pythagorean theorem to find DC, we find that it is equal to 28sqrt3/3
Now, we find angle BAC (180-90-(30+15)=45)
Again, we use the sine rule to find AB (whom i will refer to as x and from whom we will subtract DB to find the length of AD), so we cross multiply in sin45/14=sin(30+15)/x, it is equal to 14.
So since AB-DC=AD
14-(14sqrt3/3)= 5.917096231 (and we ound that to a 5.9)
It looks like you have to do distance formula. It's basically this:
D =
(ignore the A, i dont know how to get rid of it sorry)
I would then plug in the points of A(1,7) and B(10,3).
D = 
Then I would get the square root of 4^2 + 9^2
= square root of 16 + 81
= square root of 97
So the length of AB would be the square root of 97
The best and most correct answer among the choices provided from your question about the triangle is the third choice or letter C. <span>4 < x < 14. The solution for the answer is as follows:
</span>9-5 = 4
<span>9+5 = 14 </span>
<span>Therefore, 4<x<14
I hope that helps you.
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