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2 years ago

What is the reason for statement 3 in this proof?

Mathematics

1 answer:

const2013 [10]2 years ago

3 0

Answer:

A. Definition of angle bisector

Step-by-step explanation:

Given that ΔABC is an isosceles triangle where AB = BC, and that BD bisects ∠ABC, then by the definition of angle bisection of ∠ABC, we have;

m∠ABD = m∠CBD

The correct option is option A. Definition of angle bisector

Also, given that ΔABC is an isosceles triangle and BD is the angle bisector of ∠ABC, we get;

AD = CD and BD = BD

We can therefore, also find that ΔABD ≅ ΔCBD by Side Side Side (SSS) rule of congruency

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Solve for W. 4w-4+2(5w+8)=-2(w+3) Simplify your answer as much as possible.

gayaneshka [121]

Answer:

w = $-\frac{9}{8}$

Step-by-step explanation:

The question is $4w-4+2(5w+8)=-2(w+3)$

We can first use distributive property to simplify, the distributive property is $a(b+c)=ab+ac$

Thus we have:

$4w-4+2(5w+8)=-2(w+3)\\4w-4+10w+16=-2w-6$

Now we combine like terms and simplify to get the final answer for w.

$4w-4+10w+16=-2w-6\\14w+12=-2w-6\\14w+2w=-6-12\\16w=-18\\w=\frac{-18}{16}\\w=-\frac{9}{8}$

Thus, w = $-\frac{9}{8}$

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3 years ago

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H. 2x – 7 = 3 squared

Lubov Fominskaja [6]

Answer:

h. x=8

Step-by-step explanation:

$2x-7=3^2$

Step 1) Square the 3

$2x-7=9$

2) Add 7 to both sides

$2x-7(+7)=9(+7)$

$2x=16$

3) Divide both sides by 2

$\frac{2x}{2} =\frac{16}{2}$

$x=8$

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3 years ago

What is $50.31 into a fraction

bonufazy [111]

Answer:

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Step-by-step explanation:

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Answer:

Its the bottom-right one

Step-by-step explanation:

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inysia [295]

I'm 100% sure that the answer is C

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