we know that
The quadrilateral ABCD is a isosceles trapezoid. The properties of the isosceles trapezoid are as follows:
-The lower base angles are congruent.
So
m∠A=m∠D
m∠B=m∠C
m∠A+m∠B=
°
m∠D+m∠C=
°
therefore
m∠D=m∠A=
°
m∠B=
-m∠A
m∠B=
-
m∠B=
°
m∠C=m∠B=
°
<u>the answer is</u>
The measure of angle ADC is
°

Taking 4 out from first two terms, we will get

Now we divide the coefficient of x by 2 and add and subtract the square of the result, we will get

Distributing 4

Cancelling 9

And that's the required standard form.
Answer:
V = pi times r-squared times h.
pi = 3.14
Step-by-step explanation:
or simply it means V= 251.327
Answer: B. The procedure for constructing the confidence interval is robust. The larger the sample size, the more resistant the mean. Therefore, the confidence interval is more robust.
Step-by-step explanation:
Large sized data samples usually have more stability than data with small samples, they yield a mean value which edges closer to the value of the population data. This means that large size data samples will have a mean which is more resistant to change than samples with a lower sample size. The confidence interval gives robustness while constructing a model by giving te leverage for a range of values based in a certain level of confidence upon which a statistical vale can be tested for validity.
The picture in the attached figure
we know that
RS=ST----------------> because is a square base
so
QS is the diagonal of the square base
applying the Pythagoras Theorem
QS²=RS²+ST²------> 6²+6²-----> QS²=72------> QS=√72----> QS=6√2 units
the answer isQS=6√2 units