What is BC? enter your answer in the box units

Mathematics

2 answers:

Blababa [14]4 years ago

7 0

Since Angles B and C are equal, the sides AB and AC must also be equal, so you can set the equations equal to each other and solve for x. Then to find the length of BC, x can be plugged into the equation for that side length.

4x+4=6x-14
Add fourteen to each side to get x alone on the right side
4x+4+14=6x-14+14
4x+18=6x
Subtract 4x from each side to get all of the x's on one side of the equation
4x+18-4x=6x-4x
18=2x
Divide each side by two to find the value of one x
18/2=2x/2
9=x
Now that you know x equals 9, plug that into the equation for side length BC:
2x+7
2(9)+7
Multiply 2 by 9 to get rid of the parentheses
18+7
Add to simplify
25

The side of the triangle, BC, equals 25

alisha [4.7K]4 years ago

4 0

The answer is 25 i hope this is right

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Anit [1.1K]

Hi!

Your answer is 52.

To start off, let's start with some facts that will help us solve this:

Supplementary angles are two angles whose angle measures add up to 180 degrees. You can know that they are supplementary because they can be connected by a straight line.

Triangles (all of them) have angles that add up to 180 degrees.

We can start by using supplementary angles to solve. See where the angle of 67 degrees is? The one to the right of it is supplementary to it since they are on a straight line. That means their sum adds up to 180 degrees:

$67 +?=180$

$?=113$

That angle is 113 degrees.

Now, we have 2 out of 3 angles in the triangle. Since we know that triangles' angles add up to 180 degrees, we can make an equation:

$15+113+x=180$