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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Answer:
The common difference is 3
Step-by-step explanation:
we know that
In an <u>Arithmetic Sequence</u> the difference between one term and the next is a constant called the common difference
we have
so
therefore
The common difference is 3
Answer:
Yes, the given parallelogram is a rectangle.
Step-by-step explanation:
The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).
The slope formula is
The slopes of opposites sides are same it means they are parallel to each other.
The product of slopes of two consecutive sides is
Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.
Yes, the given parallelogram is a rectangle.
