Answer:
Step-by-step explanation:
b/c we can substructure 5cd and 3dc b/c it doesn't matter if the place of cd and dc change. what I mean if 5 ×3=15 and it is the same with 3×5=15 both of the product are the same but, if it is - and ÷ it wil be wrong for example 5-3=2 but 3-5= -2
if is helpful ❤❤
THANK YOU
Answer:
<u>5</u> is the GCF
Step-by-step explanation:
The factors of 35 are: 1,5,7,35
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 25 are: 1, 5, 25
The highest or greatest factors that all of them have in common is 5.
Answer:
7 1/2
Step-by-step explanation:
2 1/2 ÷ 1/3
Change the mixed number to an improper fraction
2 1/2 = (2*2+1)/2 = 5/2
5/2 ÷ 1/3
Copy dot flip
5/2 *3/1 = 15/2
Changing back to a mixed number
2 goes into 15 7 times with 1 left over
7 1/2
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!
