Triangles ABC and ADE are similar triangles. That means the sides are all scaled by the same factor.
To go from side BC to side DE, you multiply by 1.25. That means 1.25 is your scale factor. Now apply that factor to the bottom side to get your answer.
Side AB is 6. That means side AD is 6 x 1.25 = 7.5. That means x = 7.5 - 6 = 1.5
Answer:
Converges, 57.6
Step-by-step explanation:
48, 8, 4/3, 2/9...
ratio = 8/48 = 1/6
A sequence converged if the ratio is between -1 and 1.
So, this sequence converges
Limit = a/(1-r)
Where a is the first term, and r is the common ratio
Limit = 48/[1 - (1/6)]
= 48/[5/6]
= 48 × 6/5
= 57.6
.66 is 66 out of 100. "out of" means divide
66/100
We can reduce this by dividing each number by the same amount - 2
33/50
Answer:
The answer is 8
Step-by-step explanation:
Plug -2 in for x. The double-negative inside the parenthesis makes it positive, then do the exponent.