The answer of the next term is 31
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:
Step-by-step explanation:
Simplify 4*(7-c)
4
⋅
(
7
−
c
)
4
⋅
(
7
-
c
)
Apply the distributive property.
4
⋅
7
+
4
(
−
c
)
4
⋅
7
+
4
(
-
c
)
Multiply.
Tap for more steps...
Multiply 4
4
by
7
7
.
28
+
4
(
−
c
)
28
+
4
(
-
c
)
Multiply
−
1
-
1
by
4
4
.
28
−
4
c
28
-
4
c
28
−
4
c
0.473176473 litres are in a pint.
