Given: m∠ABC = m∠CBD Prove: Ray B C bisects ∠ABD. 3 lines extend from point B. One line extends to point A, another to C, and another to D. Justify each step in the flowchart proof. A flow chart with 3 boxes that are labeled A, B, C, from top to bottom. Box A contains m angle A B C = m angle C B D. Box B contains angle A B C is-congruent-to angle C B D. Box C contains Ray B C bisects angle A B D.

Answers

Answer 1

Answer:

Given that m∠ABC = m∠CBD, and m∠ABD = m∠ABC + m∠CBD BC bisects m∠ABD (Definition of angle bisector)

Step-by-step explanation:

The given information are;

m∠ABC = m∠CBD

To prove that Ray BC bisects m∠ABD

The description is therefore;

Three lines (AB, BC, and BD) that meet at a point

The content of Box A = m∠ABC = m∠CBD

The content of Box B = m∠ABC ≅ m∠CBD

The content of Box C = Ray BC bisects  m∠ABD

Therefore, we have;

m∠ABD = m∠ABC + m∠CBD (Angle addition postulate)

m∠ABC = m∠CBD (Given)

∴ m∠ABC ≅ m∠CBD (Definition of congruent angles)

m∠ABC is adjacent to m∠CBD (Description of the angles)

Line BC is common to m∠ABC and m∠CBD (Description of the angles)

Therefore, given that m∠ABC = m∠CBD, and m∠ABD = m∠ABC + m∠CBD BC bisects m∠ABD (Definition of angle bisector).

Answer 2

Answer:

c

Step-by-step explanation:

edg


Related Questions

Please help me this problem

Answers

Answer:

d) line l and m

Step-by-step explanation:

Line l and line m are parallel because <2 = <16 by the alternate exterior theorem.

(-7/10 + .15) divided by (-.125)

Answers

Answer:

4.4

Step-by-step explanation:

What is the solution of the system shown in the graph?
Can anyone help out?? ​

Answers

Answer:

Where is the graph ?? It's missing.

I REALLY NEED HELP!!!!!!!!!!!!!!!!!!!! 25 POINTS AND BRAINLY

Answers

Answer:

I think the final price is $252.19.

Step-by-step explanation:

Hope it's right! Good luck, dear! <3

201.75 price after reduction then with the mark up it gets changed to 252.19

Find the length of the diagonal of the square 9m

Answers

The answer is : 6.36 m

The sum of 19 and a number x is equal to 22

Answers

Answer:

x = 3

Step-by-step explanation:

19+1=20

19+2=21

19+3=22

Or you can subtract 22 and 19 to find x

I'm so sorry if I get it wrong. Have a great day and good luck!

The answer is X:3
Explications
19+1=20
19+2=21
19+3=22

What are the slope and the y-intercept of the linear function that is represented by the equation y = negative 10 x + 1?
The slope is –10, and the y-intercept is –1.
The slope is –10, and the y-intercept is 1.
The slope is –1, and the y-intercept is –10.
The slope is 1, and the y-intercept is –10.

Answers

Answer:

B) the slope is -10 and the y-intercept is +1

Step-by-step explanation:

The lope comes before the x, and the y-intercept comes after the x. Hope this helps.

Answer:

the answer is B

Step-by-step explanation:

i did the math QUIZ 8th grade EDG

Calculate the probability of rolling a 1 or 2 when using two dice (order does NOT
matter). Now calculate how often a 1 or 2 appeared in the scenario above against the
total number of appearances. Explain why these two numbers are the same or different.

Answers

The probability of rolling a 1 or a 2 is P = 4/9, this means that around 4/9 out of the N times we perform the experiment, we will see a 1 or a 2.

How to find the probability?

We assume that each number has the same probability of rolling up in both dices.

So, in each dice, the probability of rolling a 1 or a 2 is 2 out of 6, or:

p = 2/6 = 1/3

And if we get these on one of the dice, we don't want them in the other,

The probability of not rolling a 1 or a 2 is:

q = 4/6 = 2/3

The joint probability is the product of the two individual probabilities:

P = (1/3)*(2/3)

But, we also need to consider the case where we don't get an 1 or a 2 in the first dice roll, and we do get it on the second dice, then there are 2 permutations, so we need to add a factor 2.

P = 2*(1/3)*(2/3) = 4/9

Now we want to find how often a 1 or a 2 appear against the total number of appearances.

If the total number of appearances is N, then in 4/9 of these, the number 1 or 2 will appear, this is:

N*(4/9) times.

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

what is exponential growth ?

Answers

growth whose rate becomes ever more rapid in proportion to the growing total number or size.

The growth rate keeps exceeding itself, it would not be considered “steady” growth.

QUICK whoever gives correct answer will get brainliest please and thank you.​

Answers

Answer:

A i think

Step-by-step explanation:

when theres function i like to think of vending machines

if you pick 5 you get soda

but in b if you pick 5 you get soda,candy,orange juice, etc.

so b is wrong

c is the same

if you pick 1 you get chips

but in c if you pick 1 you can also get chips, gummies, etc

i feel like D is wrong but im still thinking of how to explain it, ill edit my comment when i figure it out!

Edit:

D may look right, but pay very attention! theres some where 1 is equal to another number and where 2 also equals another number

(1, 2) and (1, 0)

(2, 3) and (2,1)

5% commission rate of 14.98

Answers

Answer:  If you mean 5% of $14.98, it is $0.75  75 cents

If you mean 14.98 represents a 5% commission on what sale amount

The sale amount was $299.60

Step-by-step explanation:

Change the percent to a decimal and  multiply by the sale amount.

0.05 × 14.98 = .749  Round to .75

If 14.98 is the 5% commission,  divide 14.98/.05= 299.60

ASAP drusilla built a model airplane using the scale 1/2 in = 7 ft the wingspan of the model is 15 inches what is the actual wingspan
b 100ft
d 210ft

Answers

Answer:

D, 210 ft

Step-by-step explanation:

half in inch equals 7 ft and if theretheres 15 in

15x2=30

30×7=210

hich of these expressions is true?
a
2 < V10 <3
Ob
3 < V10 < 4
Pleaseeeee I have a midterm rn

Answers

Answer:

B

Step-by-step explanation:

[tex] \sqrt{10} = 3.162277...[/tex]

[tex]3 < \sqrt{10} < 4[/tex]

A city's bus system has a red-line and a blue-line. Both a red-line bus and a blue-line bus are currently at the City Hall Station. If a red-line bus arrives at the City Hall Station every 12 minutes and a blue-line bus arrives at the City Hall Station every 10 minutes, after how many minutes will the two buses next arrive at the City Hall Station at the same time?

Answers

Answer:

5.45minutes

Step-by-step explanation:

Given that the arrival time of the redline bus= 12minutes

arrival rate = 1/12 arrival per minutes

arrival time of the blueline bus= 10minutes

arrival rate = 1/10 arrival per minutes

the combined arrival rate is given by the expression

let redline be A

and blueline be B

and let the combines arrival rate be x

A+B/(A*B)=1/x

1/12+1/0=1/x

12+10/12*10=1/x

22/120=1/x

x=120/22

x=5.45minutes

(I have more questions unanswered around this point value in the subject of quadratic formula.)

Answers

Answer:

we dont know

Step-by-step explanation:

whwhhsjsksnd

Answer:

y =3 x 2 6 x +3 is the answer

Step-by-step explanation:

The town of Manchester contains a business area in the center ​of town that has the shape of a disk with a radius of 11 mile.



​If ​no one resides in the business area, what is the population ​density in Manchester, in people per square mile, outside of the

​business area?



​Round your answer to the nearest whole ​number of people per square mile.

Answers

Answer:

58,241

Step-by-step explanation:

I just searched it up and it said the answer!

What is an equation of the line that passes through the point (6,1) and is parallel to the line x+3y=15

Answers

Answer:

y=−1/3x+3

Step-by-step explanation:

1/4 x 32= ? please help thank you

Answers

Answer:

8

Step-by-step explanation:

32x1 over 4 is 32 over 4, or 32 divided by 4, which is 8.

Natalie is hiking up a mountain while simone is hiking down.

Answers

need more information

use the distributive property to fill in the blanks: 5 × (3 + 7) = (5 × ) + (5 × )​

Answers

It is (5 • 5) + (5•5)

Good Luck and be careful from suspicious links.

Brian is 1 meter 87 centimeters tall. Bonnie is 58 centimeters shorter than
Brian. Betina is 26 centimeters taller than Bonnie. How tall is Betina?

Answers

brian is 6’1 ish bonnie is about 2 feet shorter making her a whopping 4 feet, Betina is about 4’10 or 1 meter 45 centimeters i think

2(x-6) + 6 = 4x - 4
Find X

Answers

Step by step explanation:

Step 1:

[tex]2(x-6) + 6 = 4x - 4[/tex]

Step 2:

[tex]⇒2x - 12 + 6 = 4x - 4[/tex]

Step 3:

[tex]⇒2x - 6 = 4x - 4[/tex]

Step 4:

[tex]⇒ - 6 + 4 = 4x - 2x[/tex]

Step 5:

[tex]⇒2x = - 2[/tex]

Step 6:

[tex]⇒x = \dfrac{ - 2}{2} [/tex]

Step 7:

[tex]⇒x = - 1✓[/tex]

[tex]◈verification◈[/tex]

Step 1:

[tex]2( - 1-6) + 6 = 4( - 1) - 4[/tex]

Step 2:

[tex]⇒2( - 7) + 6 = - 4 - 4[/tex]

Step 3:

[tex]⇒ - 14 + 6 = - 8[/tex]

Step 4:

[tex]⇒ - 8 = - 8[/tex]

[tex]†hence \: vertified†[/tex]

!PLEASE HELP, THANK YOU!

Which 3-D figure matches the surface area formula?

Figure A
Figure B
Figure C
Figure D

Answers

Answer:

D

Step-by-step explanation:

you mean the formula is 4×pi×r² (not 4×pi/r²), right ?

then the correct answer is the sphere (ball).

the surface area of a cylinder is

top and bottom circle area = pi×r² each = 2×pi×r² both

and the mantle is 2×pi×r×height

the surface area of a block has nothing to do with pi.

it is the sum of 6 rectangles.

the surface area of a cone is

A = πr(r + sqrt(h² + r²))

again, also depending on "hight"

If x= 2 find the value of 80 - 4x^2

Answers

Answer:

It's 16

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x^2+(x-4)^2-(80^2)=0

Step by step solution :

STEP

1

:

1.1     80 = 24•5

(80)2 = (24•5)2 = 28 • 52

Equation at the end of step

1

:

 ((x2) +  ((x - 4)2)) -  (28•52)  = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  2x2 - 8x - 6384  =   2 • (x2 - 4x - 3192)

Trying to factor by splitting the middle term

3.2     Factoring  x2 - 4x - 3192

What is the X and Y for this??????

Answers

X=2 Y=6 because we did this last week and I stilll have mine

Fill in the blank. Using the number line below, the plotted number is
when rounded to the nearest hundred.
150
200
250
300
350

Answers

I think it’s 400 hope it helps

Question Progress
Alan sees this offer.
Refurbished phone
45% OFF
Now only £88
How much was the phone before the discounted price?

Answers

Answer:

 x        45

___ = ____ (solve for x) = 39.6

88      100

88 + 39.6 = £127.60, was the original price.

The price before discount would be 127.6

solve for the variable​

Answers

For this problem your going to want to do the equation backwards 100-4=96 then you want to divide 96 by -12 we already know that the variable is going to be a negative because two negatives equal a positive so if it’s easier for you to divide by taking off the negative sign you can go ahead and do so but 96/-12=-8 (please mark brainliest)

If 50 miles in 2 hours a rate

Answers

Answer:

25 mph

Step-by-step explanation:

50/2 = 25 mph

You travel 25 mph

Have a good day!

Please rate and mark brainliest!!

The answer to this question is 25 mph.

Solve this inequality. 9p < -81

A.
p > 90

B.
p < -9

C.
p < -90

D.
p < 72

Answers

Answer:

B.  p < -9

Step-by-step explanation:

Given inequality:

[tex]9p < -81[/tex]

divide both sides by 9:

[tex]\implies \dfrac{9p}{9} < -\dfrac{81}{9}[/tex]

[tex]\implies p < -9[/tex]

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