X = 10
The triangles are similar by SAS, so we can set up a proportion of their sides.
9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2
Reduce
3/8 = 12/3x+2
Cross multiply
3(3x+2) = 12*8
Distribute and multiply
9x + 6 = 96
Subtract 6
9x = 90
Divide by 9
x = 10
Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
i think that's the answer
Answer:
The correct answer is second option option
9¹/⁸ ˣ
Step-by-step explanation:
<u>Points to remember</u>
<u>Identities</u>
ᵃ√x = = x¹/ᵃ
√x = x¹/²
(xᵃ)ᵇ = xᵃᵇ
<u>To find the correct option</u>
It s given that,
(⁴√9)¹/² ˣ
By using the above identities we can write,
(⁴√9)¹/²ˣ = (9¹/⁴)¹/²ˣ [ since ⁴√9 = 9¹/⁴]
= 9⁽¹/⁴ * ¹/²⁾ ˣ
= 9¹/⁸ ˣ
Therefore the correct answer is second option option
9¹/⁸ ˣ
