Given that Ray B A bisects ∠DBC, which statement must be true? m∠ABD = m∠ABC AB ≅ BC B is the midpoint of DC. m∠DBC = 90°
2 answers:
Answer:
A.
Step-by-step explanation:
We are given that a ray BA bisects angle DBC.
We have to find true statement .
Angle bisector property:When a ray bisect any angle then the angles made by bisection of angle are equal.
When ray BA bisects angle DBC
Then,
By angle bisector property.
Therefore, option A is true.
Answer:A.
You might be interested in
The number of unique ways or permuations to arrange the seven letters in MINIMUM is all the letters are used each time is 420.
According to the given question.
We have a word MINIMUM.
Here, there are 7 letters in "MINIMUM" .
Now, in Minimum the number of letters which are repeated and which are not.
M = 3 times
I = 2 times
N = 1 time
U = 1 time
As, we all know if there is no repetitions in a word which is made of n letters, then we can arrange it by n! ways.
But if there is repetition, we use formula
where, n =
is objects of one type
is the objects of two types
is the objects of k types
Thereofore, the number of unique ways or permuations to arrange the seven letters in MINIMUM is all the letters are used each time
= 7!/ 3!2!
= 7(6)(5)(4)(3!)/3!(2)(1)
= 7(3)(5)(4)
= 420
Hence, the number of unique ways or permuations to arrange the seven letters in MINIMUM is all the letters are used each time is 420.
Find out more information about number of ways and permuations here:
#SPJ4
Answer:
A sample size of at least 228 must be needed.
Step-by-step explanation:
We are given that in the latest survey by the National Association of Colleges and Employers, the average starting salary was reported to be $61,238. Assume that the standard deviation is $3850.
And we have to find that what sample size do we need to have a margin of error equal to $500 with 95% confidence.
As we know that the Margin of error formula is given by;
<u>Margin of error</u> =
where, = significance level = 1 - 0.95 = 0.05 and
= 0.025.
= standard deviation = $3,850
n = sample size
<em>Also, at 0.025 significance level the z table gives critical value of 1.96.</em>
So, margin of error is ;
= 15.092
Squaring both sides we get,
n = = 227.8 ≈ 228
So, we must need at least a sample size of 228 to have a margin of error equal to $500 with 95% confidence.