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:
x=3
Step-by-step explanation:
3+x=2x
Subtract x from each side to get the variable on one side
3+x-x=2x-x
3 = x
So he has to paint 255 m from the 280 m of paint he has
First divide 255/280 to give you a decimal
You should get .9107
Since this is in decimal form (out of 1) you want to get percentage which is out of 100 you multiply by 100
So .9107 times 100
This gives you the percentage which is
91.07%
Now it says round to 1 decimal so it would be
91.1%
Answer:
no no yes yes
Step-by-step explanation:
took the test
