If in the triangle ABC , BF is an angle bisector and ∠ABF=41° then angle m∠BCE=8°.
Given that m∠ABF=41° and BF is an angle bisector.
We are required to find the angle m∠BCE if BF is an angle bisector.
Angle bisector basically divides an angle into two parts.
If BF is an angle bisector then ∠ABF=∠FBC by assuming that the angle is divided into two parts.
In this way ∠ABC=2*∠ABF
∠ABC=2*41
=82°
In ΔECB we got that ∠CEB=90° and ∠ABC=82° and we have to find ∠BCE.
∠BCE+∠CEB+EBC=180 (Sum of all the angles in a triangle is 180°)
∠BCE+90+82=180
∠BCE=180-172
∠BCE=8°
Hence if BF is an angle bisector then angle m∠BCE=8°.
Learn more about angles at brainly.com/question/25716982
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Answer:
You are looking at a computer printout of 100 test scores, which have been converted to standard units. The first 10 entries are - 3.1 2.4 0.18 0.56 0.32 0.74 0.99 0.0244 3.7. Does the printout look reasonable, or
There are 3,300 different ways to select the committee.
First, we need to determine the total number of ways the 6 members can be selected.
For the chair and vice chair, it would be 5 x 4 = 20, but then that has to be divided by 2. (Because the order doesn't matter)
20 / 2 = 10
For the rest, it would be 11 x 10 x 9 x 8 = 7920, but again divide it by 4! because the order doesn't matter.
7920 / 24 = 330
To find the total ways for both, multiply 10 by 330 to get 3300.
Answer: first option.
Step-by-step explanation:
The formula you must use to calculate the volume of the figure shown is the following:
Where B is the area of the base and H is the height.
Assuming that the base of the pyramid is a square, you have that B is:
Substitute values into the formula, Then you obtain:
set is the collection of well defined object having some common property
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