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nekit [7.7K]
3 years ago
6

PLEASE MATH HELP WILL GIVE BRAINLIEST What is BC? ​ Enter your answer in the box.

Mathematics
2 answers:
tatuchka [14]3 years ago
4 0

4x+1 = 2x+23

4x = 2x+22

2x = 22

x = 22/2 = 11

x = 11

3x-8 = 3(11)-8 = 33-8 = 25

BC=25

cupoosta [38]3 years ago
4 0

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  \angle B = \angle C i.e, base angles are equal.

By definition of isosceles triangle,

⇒ΔABC is an isosceles triangle

AB = AC

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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maria [59]

Answer:

No

Step-by-step explanation:

the quantities are not proportional because 7/8 is greater than 2/4. Hope this helps!

8 0
3 years ago
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Please help I dont understand​
Kitty [74]

Answer:

3rd option

Step-by-step explanation:

A direct variation is expressed in this form:

y = kx

1. y - 4x = 8

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2. y + 2 = 7x

y = 7x - 2 is not a direct variation

3. y - 3x = 0

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4. y = 5x - 2

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8 0
3 years ago
The solution to -35 x = -105 is -3. TrueFalse
Setler [38]

-35x = -105

divide -105 by -35 to get x by itself

x = 3

The answer is false because the real answer would be 3

6 0
3 years ago
A school dance committee has 14 volunteers. Each dance requires 3 volunteers at the door, 5 volunteers on the floor, and 6 float
siniylev [52]

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.

nC_{r}=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 =14C_{12}

=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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5 0
2 years ago
Solve the following by elimination method <br> 11x+15y+23=0 and 7x-2y-20=0
mr Goodwill [35]
Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)

Multiply equation (1) by 2:
22x + 30y + 46 = 0

Multiply equation (2) by 15:
105x - 30y - 300 = 0

Add equations (1) and (2):
22x + 105x + 30y - 30y + 46 - 300 = 0
127x - 254 = 0
127x = 254
x = 254/127
[x = 2]

Substitute x = 2 in equation (1) to find y:
11(2) + 15y + 23 = 0
22 + 15y + 23 = 0
15y + 45 = 0
15y = -45
y = -45/15
y = -3

Therefore, x = 2 and y = -3.
7 0
3 years ago
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