PLEASE MATH HELP WILL GIVE BRAINLIEST What is BC? Enter your answer in the box.
2 answers:
Answer:
Value of BC is 25 units.
Step-by-step explanation:
Given: AC = 2x+23 units , AB = 4x+1 units and BC = 3x-8 units.
Isosceles triangle states that a triangle with two congruent sides and congruent base angles.[Congruent means equal]
Since, in the given triangle ABC i.e, base angles are equal.
By definition of isosceles triangle,
⇒ΔABC is an isosceles triangle
4x + 1 = 2x + 23
Subtract 2x from both sides we get;
4x + 1 -2x = 2x + 23 -2x
Simplify:
2x + 1= 23
Subtract 1 from both sides we get;
2x +1 -1 = 23-1
Simplify:
2x = 22
Divide both sides by 2 we get;
x = 11
BC = 3x -8 = 3(11) - 8 = 33 -8 = 25 units
Therefore, the value of side BC is, 25 units.
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There are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned from 14 volunteers.
Given that a school dance committee has 14 volunteers and each dance requires 3 volunteers at the door, 5 volunteers on the floor and 6 on floaters.
We are required to find the number of ways in which the volunteers can be assigned.
Combinations means finding the ways in which the things can be choosed to make a new thing or to do something else.
n=n!/r!(n-r)!
Number of ways in which the volunteers can be assigned is equal to the following:
Since 2 have not been assigned so left over volunteers are 14-2=12 volunteers.
Number of ways =14
=14!/12!(14-12)!
=14!/12!*2!
=14*13/2*1
=91 ways
Hence there are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned.
Learn more about combinations at brainly.com/question/11732255
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