A random sample of 100 observations yields a confidence interval with a margin of error of 60. In a new study we would like to estimate the same population parameter with a margin of error of 30 (half of the old margin of error). How many observations should we sample for this new study

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

any options?

step-by-step explanation:

c. side angle side. u shares the same sides