In ΔABC shown below, line segment AB is congruent to line segment BC:

Mathematics

2 answers:

yan [13]3 years ago

6 0

Answer:

∠ABD ≅ ∠CBD

Step-by-step explanation:

Given: line segment AB ≅ line segment BC

Prove: The base angles of an isosceles triangle are congruent.

Statement Reason

1. Segment BD is an angle bisector of ∠ABC - By construction

2. ∠ABD ≅ ∠CBD - Definition of an Angle Bisector

3. Segment BD ≅ segment BD - Reflexive Property

4. ΔABD ≅ ΔCBD - Side-Angle-Side (SAS) Postulate

5. ∠BAC ≅ ∠BCA - CPCTC

alisha [4.7K]3 years ago

6 0

Answer:

It is ABD = CBD I just got it right!

Step-by-step explanation:

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Which of the following represents the zeros of f(x) = x3 − 11x2 + 38x − 40?

Delvig [45]

The answer is 5, 4, 2

Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
x³ - 11x² + 38x - 40
(x - 5) * x² = x³ - 5x² Subtract
____________________________
-6x² + 38x - 40
(x - 5) * (-6x) = -6x² + 30x Subtract
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8x - 40
(x - 5) * 8 = 8x - 40 Sutract
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0

Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)

Now, let's simplify x² - 6x + 8.

x² - 6x + 8 = x² - 2x - 4x + 8 =
= x² - 2*x - (4*x - 4*2) =
= x(x - 2) - 4(x - 2) =
= (x - 4)(x - 2)

Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0 or x - 4 = 0 or x - 2 = 0
x = 5 or x = 4 or x = 2

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3 years ago

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Ilia_Sergeevich [38]

Answer:

2x+2

Step-by-step explanation:

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