Given: ΔABC, where AB = BC Prove: m∠BAC = m∠BCA Statement Reason 1. Let ΔABC be an isosceles triangle with AB = BC. given 2. Create point D on side so bisects ∠ABC. constructing an angle bisector 3. M∠ABD = m∠CBD definition of angle bisector 4. BD = BD Reflexive Property of Equality 5. ΔABD ≅ ΔCBD 6. M∠BAC = m∠BCA Corresponding angles of congruent triangles have equal measures. What is the reason for statement 5 in this proof? A. ASA B. SSS C. AAS D. SAS

Answers

Answer 1

Answer:

D. SAS

Step-by-step explanation:

Given: ΔABC

Bisecting <ABC to create point D implies that BD is a common side to  ΔABD and ΔCBD.

Also,

m<ABD = m<CBD (angle bisector)

BA = BC (given property of the isosceles triangle)

Therefore,

ΔABD ≅ ΔCBD (Side Angle Side)

The reason for statement 5 in this proof is that ΔABD ≅ ΔCBD by SAS (Side-Angle-Side) relations of the congruent triangles.

Answer 2

Answer:

Option D is correct trust me

Step-by-step explanation:


Related Questions

The temperature fell from 0Degrees Fahrenheit to 6 and three-fifthsDegrees Fahrenheit below 0Degrees Fahrenheit in 2 and one-fifth hours. What was the temperature change per hour? -3 Negative 4 and two-fifths 3 4 and two-fifths

Answers

Answer:

the answer is A i think

Step-by-step explanation:

Answer:

your answer is

A. -3

good luck (:

-1/10 divided by 1/6

Answers

[tex]-0.6[/tex]

For more help, Take a look at this chart.

Answer:

-3/5

Step-by-step explanation:

-1/10 divided by 1/6

-1/10 x 6/1

-6/10 the divided by 2

-3/5

Find the LCM (least common multiple) of 15 and 8.

LCM =

Answers

Answer:

120

Explanation:

Because I need 20 characters

Answer: The answer to this math question about finding The Least Common Multiple (LCM) of 15 and 8 is 120.

Step-by-step explanation: This is the same thing, according to the online calculator website called, "Calculatorsoup.com", I chose to find the list of the multiples given with the pair of the numbers, so anyways, here are the following steps in order to find The Lowest Common Multiple (LCM) with the given following pairs #15 and #8 are being shown here below:

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

1. Here are the list of the multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136.

2. Here are the list of the multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150.

So, therefore, the answer to this math question about finding The Lowest Common Multiple (LCM) of the given pair numbers for #15 and #8 is LCM(8, 15) = 120. As always to remember the legends, according to the online calculator website is called, "Calculatorsoup.com", the bold and the underline is being indicated that the first common multiple is founded, and without the given bold and the underline is being indicated that the first common multiple has not been found yet.

I hoped that my given answer with my given explanation is very helpful to your own math question about finding The Lowest Common Multiple (LCM) of the given pair numbers, also using my given hint to find the first common multiple is also helpful to your own math question as well according to the online calculator website is called, "Calculatorsoup.com", that's all for today, please mark me as Brainliest and have a rest of a great day! :D

Sincerely,

Jason Ta,

The ambitious of Brainly and the role of The TDSB and WHCI Student of The High School.

what is (b-8)x4? math homework:)

Answers

Answer:

4b-32

Step-by-step explanation:

(b-8) •4

=4(b-8)

=4b-4•8

=4b-32

please help. you can select a,b,c,d or multiple.

Answers

Answer: b & d

Step-by-step explanation:

These are complex roots because they do not have x-intercepts.

Hope this helps!

Elimination


- 14x - 18 y = 18
7x + 9y = -9

Answers

Answer:

Your answer is: (x , -1 -7x/9 )

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Step-by-step explanation:

Hope this helped : )

Jody and her friends are playing a game in which the person who scores closest to zero points after three rounds wins! Jody's friend Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round. Jody scored 10 points in the first round and lost 4 points in the second round. What will Jody need to score in the third round to win the game? (3 points)

Answers

Answer:

Jody needs to lose the third round by 6 points to win the game.

Step-by-step explanation:

The rule of the game is the person who scores closest to zero points after three rounds win.

Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round.

So, total points for Robyn = 5-8+4=1

So, the magnitude of the closeness of Robyn's score from zero

=|1-0|=1

Jody scored 10 points in the first round and lost 4 points in the second round.

Let Jody score x point in the third round.

Total points for Jody= 10-4+x=6+x

So, the magnitude of the closeness of Jody's score from zero

=|6+x-0|=|6+x|

The condition for Jody to win the game is his points must be closer to zero than Robyn's points, i.e

|6+x|<1

Case 1: If  [tex]x\geq -6[/tex],

6+x<1

[tex]\Rightarrow x<-5[/tex], which is not possible for this case.

Case 2: If  [tex]x\leq -6[/tex],

-(6+x)<1

[tex]\Rightarrow x+6>1[/tex]

[tex]\Rightarrow x>-5[/tex]

For this case [tex]x= -6[/tex] is the only possibility.

So, Jody must score -6 in the third round to win the game. i.e Jody needs to lose the third round by 6 points.

PLSS!!!! HELP!!! ME I WILL MARK U!!!!

Answers

Answer:

562

Step-by-step explanation:

Plug in the values of x, y, and z provided.

(5(5)-1)^2-2(7)

Solve.

(25-1)^2-14

(24)^2-14

576-14

562

Answer: 562

Step-by-step explanation:

(5x+y)^2-2z

first put in the known values. (5(5)+(-1))^2-2(7)

(25+-1)^2-14

Second, do 25+-1=24

(24)^2-14

Third, do 24 squared

576-14

Subtract

562

I need help on this question

Answers

Answer:

alright so after it said 4 count by 4 so 4 8 12 16 18 and until u get to 18 go by 2 i think

What's 30% of 40 and how much are you saving

Answers

30% of 40 is 12. What do you mean how much you are saving?

In the book,the distance between two planets is given as 4.07×10^¹² kilometres. The speed of light is 1.1×10^⁹ kilometres per hour. Calculate the time taken for light to travel from one of these planets to the other. Give your answer in days and hours.

Answers

Answer:

3700hours

154days

Step-by-step explanation:

Speed can be defined as the distance cover per time, it can be expressed as

Speed= distance/ time........eqn(1)

Given:

distance between two planets= 4.07×10^¹²

speed of light = 1.1×10^⁹ kilometres per hour

Time= ??

Then substitute the values into equation (1) we have

Speed= distance/ time

1.1×10^⁹ kilometres per hour= 4.07×10^¹²kilometre/ time

Cross multiply, we have

Time= (4.07×10^¹²kilometre) /(1.1×10^⁹ kilometres per hour)

Time= 3700hours.

To convert to day, we know that

60 minute= 1hour

24hour=1day

Time= (3700hour×1day)/24hour

Time= 154days approximately.

Hence, the time taken for light to travel from one of these planets to the other is 154days or 3700hours

is this a function or not pt.3

Answers

Answer:

Yes, it is a function.

Step-by-step explanation:

We can determine a relation is a function when the domain is assigned each to one range number. All the domain values are different and all the range values are different which proves that definition. Thus, makes it a function.

Best of Luck!

what's the answer??​

Answers

Answer:

2/3

Step-by-step explanation:

2/3 is equal to 0.6 repeating. Hope this helps and good luck on your assignment.

Eight times the length of a segment x is 5 ft.

Answers

Answer:

8x=5

Step-by-step explanation:

A local carpenter uses the function LaTeX: f\left(x\right)=180xf ( x ) = 180 x to determine the amount earned after selling LaTeX: xx number of book cases. He has to sell between 5 and 10 bookcases each month in order to meet his sales goal. Find the domain for this situation. Group of answer choices

Answers

Given:

A local carpenter uses the function f(x) to determine the amount earned after selling x number of book cases.

[tex]f(x)=180x[/tex]

He has to sell between 5 and 10 bookcases each month in order to meet his sales goal.

To find:

The domain for this situation.  

Solution:

We have,

[tex]f(x)=180x[/tex]

where, f(x) is the amount earned be carpenter after selling x number of book cases.

Domain is the set of input values.

Here, input values are number of books he has to sell, which can be a fraction value.

Since, he has to sell between 5 and 10 bookcases each month in order to meet his sales goal, therefore the x values must be integers between 5 and 10.

Therefore, the domain for this situation is set of integers between 5 and 10, i.e., {5,6,7,8,9,10}.

Which of Talia's steps is incorrect? Step 1 is incorrect because it uses a point that is not on the line. Step 2 is incorrect because it uses a point that is not on the line. Step 3 is incorrect because it shows an incorrect ratio for the slope. Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.

Answers

Answer:

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step-by-step explanation:

The correct question is:

Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:

Step 1: Choose a point on the line, such as (2, 5).

Step 2: Choose another point on the line, such as (1, 3).

Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .

Step 4: Substitute those values into the point-slope form.

y – y1 = m(x – x1)

y – 3 = (x – 1)

Which of Talia’s steps is incorrect?

Step 1 is incorrect because it uses a point that is not on the line.

Step 2 is incorrect because it uses a point that is not on the line.

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.

Answer:

Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.

Step 2 is also correct.

Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.

Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2

Therefore the correct point-slope form is:

y – y1 = m(x – x1)

y – 3 = 2(x – 1)

Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.

Answer:

c

Step-by-step explanation:

took the quiz!!

A model car is for sale online. The owner discounts the price by 5% each day until it sells. On the third day, the car sells. If the original price of the model car was $40, how much did the car sell for to the nearest cent?




If the original price of the model car was $40, how much did the car sell for to the nearest cent?

Answers

Answer: $34.30

You start off by dividing 40 by 100 and you get 0.4, you then multiply .4 by 95 and you get 38. Then you divide 38 by 100 and get .38, then multiply that by 95 to get 36.1. Then divide 36.1 by 100 and get .361, multiply that by 95 and you get 34.295, round up to get 34.30. Now just add your units to get your answer of $34.30.

Troy has a price chart below for various ingredients he needs to order for his sandwich bar. Sandwich Ingredients Item Cost (per pound) Onions $0.79 Tomatoes $0.93 Cheese $1.85 Ham $3.15 Turkey $3.40 Troy has to order 8 pounds of ham, 15 pounds of cheese, and 12 pounds of turkey. What is the total cost of Troy's order? $93.75 $110.25 $204.23 $293.66

Answers

Answer:

$93.75

Step-by-step explanation:

The computation of the total cost of order is shown below:

The Cost of 8 pounds of Pepperoni is

=  8 × $3.15

= 25.2

The Cost of 15 pounds of cheese is

= 15 × $1.85

= $27.75

The Cost of 12 pounds of sausage is

= 12 × $3.40

= $40.8

So, The total cost is

= $25.2 + 27.75 + $40.80

= $93.75

Answer:

a

Step-by-step explanation:

Who has algebra 2 on edge ?

Answers

Answer:

i do, if uu need help hmu

Step-by-step explanation:

PLEASE ANSWERR I CANT GET IT RIGHT

Answers

wait i think i know hold on haha
first, we have to find the slope of the line using the slope formula: m = y2-y1/x2-x1

substitute: -3 + 1/2-0
then, solve: -2/2 = -1
so the slope (m) = -1

next, pick any point (i’m going to use (0,-1)) and plug that in along with the slop into the point slop formula: y-y1 = m(x - x1)

y + 1 = -1(x - 0)

then, just solve

y + 1 = -x + 0
y = -x -1

ANSWER: y = -x -1

SOMEONE PLSS HELP MEE!!!! ASAP!!

Answers

9514 1404 393

Answer:

  a.  300 ≤ m ≤ 350

  b.  18,000 ≤ p ≤ 21000

  c.  no

Step-by-step explanation:

a. If we let m represent the monthly payment, the absolute value equation is ...

  |m -325| ≤ 25

  -25 ≤ m -325 ≤ 25 . . . . rewrite as a compound inequality

  300 ≤ m ≤ 350 . . . . . . . add 325

The range of affordable payments is $300 to $350 per month.

__

b. If financing is for 5 years, that's a total of 5×12 = 60 monthly payments. For a car price of p, the monthly payment is p/60, so the above inequality becomes ...

  300 ≤ p/60 ≤ 350

Multiplying by 60 gives the range of affordable car prices:

  18000 ≤ p ≤ 21000

An affordable car will have a price between $18,000 and $21,000 (inclusive).

__

c. If the 0% offer is extended to 6 years, the maximum affordable car price can be 6/5 of the upper limit of the range just found:

  6/5×$21,000 = $25,200

This is still less than the price of the car you want.

You cannot afford to buy the car you want.

graph y= -x -6 please

Answers

Use desmos and type in coordinates

Answer:

Correct

Step-by-step explanation:

Your graph is correct. The y-intercept is -6 and the slope is negative one, so you count one down and one to the right.

The question is: You and your second favorite pet moose each start a new job. After w weeks, you have (10w +120) dollars in your bank account and your pet moose has (45w + 25) dollars in their account. How much money do you have after 5 weeks? How much money does your pet moose have after the same 5 weeks?

Answers

Money after w weeks in my account :

[tex]M_m=10w+20[/tex]

Money after w weeks in pet moose account :

[tex]M_p=45w+25[/tex]

Now,

Money I have after 5 weeks, [tex]M_m=10w+20=(10\times 5)+20=\$70[/tex]

Money pet have after 5 weeks, [tex]M_p=(45\times 5)+25=\$250[/tex]

Hence, this is the required solution.

Help I’m so confused

Answers

Answer:

a

Step-by-step explanation:

90 minutes=1 and a half hour

hour=60 min

answer: A

explanation:
liz and mike both started at 4:15 pm.

mike stopped 90 minutes later. if liz stopped half an hour less than mike, then that means she stopped 60 minutes later. this is because half an hour is 30 and 90-30= 60.

therefore, we would add 60 minutes (or 1 hour because 60 minutes= 1 hour) to when she started, which is 4:15 pm.

4:15 pm + 1 hour = 5:15 pm

PLZ HELP!! ALGEBRA! WILL GIVE U BRAINLIEST!

Answers

Answer:

a. -21 b. 14

Step-by-step explanation:

For a, -3x4=-12, and then -12-9=-21. For b, -1/3x-3=1, and then 1+13=14. Hope it helps!

Answer: A.) -21

               B.) 14

Step-by-step explanation:

f(-3)=x

A.) f(-3) = 4(-3) - 9

           = -12-9

           = - 21

B.) f(-3) = -1/3(-3) + 13

           = 1 + 13

           = 14

Have a nice day good night

PLEASE HELP ITS DUE IN 5 MIN Solve for x in the following equation and upload a picture of your work step-by-step

Answers

Answer:

1.25 = X

Step-by-step explanation:

5-2x+2=12-4x-2x

Combine all like terms here.

7-2x=12-6x

Add 2x on both sides.

7=12-4x

Subtract 12 on both sides.

-5=-4x

Divide by -4.

1.25=X

f (x) = 8x^4 – 64

Factor completely

Answers

Answer:

8(x^4 - 8)

Step-by-step explanation:

Factor out an 8, since both 8 and 64 are divisible by 8:

f(x) = 8x^4 - 64

f(x) = 8(x^4 - 8)

So, the equation factored completely is 8(x^4 - 8)

Answer:

[tex]\huge\boxed{f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+2\sqrt2)}[/tex]

[tex]\huge\boxed{f(x)=8(x-2)(x^2+2x+4)}[/tex]

Step-by-step explanation:

[tex]f(x)=8x^4-64\qquad|\text{distribute}\\\\f(x)=8(x^4-8)=8\bigg[(x^2)^2-\left(\sqrt8\right)^2\bigg]\qquad|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x^2-\sqrt8)(x^2+\sqrt8)=8\bigg[x^2-\left(\sqrt[4]8\right)^2\bigg](x^2+\sqrt8)\\\\|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+\sqrt8)\\\\\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]

taking into account the correction from the comment

[tex]f(x)=8x^3-64=8(x^3-8)=8(x^3-2^3)\\\\\text{use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\f(x)=8(x-2)(x^2+(x)(2)+2^2)=8(x-2)(x^2+2x+4)[/tex]

If SV is a perpendicular bisector of RT, which statement is true?

Answers

The correct answer is A. :)).

Answer:

The correct answer is A

Step-by-step explanation:

Dr. Leo’s new office is 2.8 yards by 4 yards. She plans to run a decorative boarder around the perimeter of the office. How many yards of wallpaper border should she purchase?

Answers

Answer:

13.6 yards

Step-by-step explanation:

The equation for perimeter is P=2L+2W

So P=2(4 yards)+2(2.8 yards)

P=13.6 yards

Or you can write the formula as P=L+L+W+W and get the same answer

12x+8y=240

How do I solve for y ?

Answers

Get y on to one size. Subtract 12x from each side to get 8y=-12x+240. Then simplify by dividing each side by 8 to get y alone. y=3/2x+30 or y=1.5x+30

A relation between a collection of inputs and outputs exists comprehended as a function.

If the equation be 12x + 8y = 240 then the value of y exists  30 - (12x/8).

What is meant by function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A relation between a collection of inputs and outputs exists comprehended as a function.

Let the equation be 12x + 8y = 240

8y = 240 - 12x

simplifying the above equation, we get

y = (240 - 12x) / 8

y = 30 - (12x/8)

Therefore, the value of y = 30 - (12x/8).

To learn more about function refer to:

https://brainly.com/question/11624077

#SPJ2

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