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!
First, let's add 2.75 + 0.158. First, we add the thousandths places. Now, we have 2.758 + 0.15. Next, let's add the hundredths place. This is equal to 2.808+0.1. Finally, we have the tenths place. Now, our number is 2.908.
To finish this problem, we add 0.003. 2.908 + 0.003 = 2.911, so 2.911 is the answer to this problem.
Answer:
400
1.05
Step-by-step explanation:
Answer:
y≥5
Step-by-step explanation:
The range is the output values
y is greater than or equal to 5
y≥5
