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3 years ago

I need help with this proof.

Mathematics

1 answer:

mylen [45]3 years ago

4 0

Answer:

My proof is in the explanation.

Step-by-step explanation:

This is a two-column proof.

One column for statements and the other for the reason for that statement.

Hopefully it shows up well on your screen. Let me know if it doesn't.

Statement | Reason

1) CD is the perpendicular 1) Given

bisector of AB

2) AD=DB 2) Definition of bisector

3) CD=CD 3) Reflexive property

4) mAngleCDA=90 4) Definition of perpendicular

5) mAngleCDB=90 5) Definition of perpendicular

6) mAngleCDA=mAngleCDB 6) Substitution property

7) Corresponding parts of each 7) SAS

triangle are congruent (side-angle-side)

8) AC=CB 8) The two triangles are ............................................................................congruent so

the corresponding parts ............................................................................are

congruent.

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Nataly [62]

Given:

Number of red marbles = 4

Number of blue marbles = 8

Number of yellow marbles = 6

Number of green marbles = 2

To find:

The probability of getting a blue marble then a red marble, i.e., P(blue, red).

Solution:

Using the given information,

The total number of marbles = 4+8+6+2

= 20

Probability of getting a blue marble in first draw is

$P(Blue)=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}$

$P(Blue)=\dfrac{8}{20}$

$P(Blue)=\dfrac{2}{5}$

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$P(red)=\dfrac{4}{20}$

$P(red)=\dfrac{1}{5}$

Now, the probability of getting a blue marble then a red marble is

$P(blue,red)=\dfrac{2}{5}\times \dfrac{1}{5}$

$P(blue,red)=\dfrac{2}{25}$

Therefore, the required probability P(blue, red) is $\dfrac{2}{25}$ .

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2 years ago

Simplify using the distributive property, Show all work (-2x - 9)(-4).

fgiga [73]

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3 years ago

What’s the answer to this ?

gladu [14]

Answer:

x = 17

Step-by-step explanation:

Since the triangles are similar then corresponding angles are congruent.

∠ I = ∠P ← substitute values and solve for x

3x + 4 = 72 - x ( add x to both sides )

4x + 4 = 72 ( subtract 4 from both sides )

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3 years ago

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skad [1K]

Answer:

option A and B

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and

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Step-by-step explanation:

we have

$2x^2+7x+4=0$

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$ax^{2} +bx+c=0$

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in this problem we have

$2x^2+7x+4=0$

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substitute in the formula

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2 years ago

I need help with this proof.​

I need help with this proof.