Yes, you are correct.
From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.
All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).
We can gather the following information from the given information.
- The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
- The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9
We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:
12/x = x/9
Using the cross product property gives us:
x² = 9 × 12
x² = 108
Taking the square root of both sides gives us:
x = √108
= 6 √3
Thus, your answer is correct. Great job!
Let me know if you need any clarifications, thanks!
Answer:
the correct answer is: 5
Step-by-step explanation:
i put -5 at first and that was incorrect so then i put 5 and it said that was correct
Company A : 15h + 20
Company B : 5h + 40
when would company B be cheaper....
15h + 20 > 5h + 40 ...put the less then sign towards Company B, then solve
15h - 5h > 40 - 20
10h > 20
h > 20/10
h > 2
Company B would be cheaper when the hours (h) are greater then 2
Answer:
y=3x
Step-by-step explanation:
The line keeps going up by 3 and over by 1 and the y intercept is 0.
1) local shopping mall
This is most relevant to spending habits. This would be where people would be spending money on a lot of different things and where their spending habits would show. It'd make the most sense to survey people there.
