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

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

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.

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.

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

Answer:

The correct answer is A

Step-by-step explanation:

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:

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.

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.

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

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

Answer:

8x=5

Step-by-step explanation:

Answer:

the answer is A i think

Step-by-step explanation:

Answer:

your answer is

A. -3

good luck (:

Answer: b & d

Step-by-step explanation:

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

Hope this helps!

Answer:

i do, if uu need help hmu

Step-by-step explanation:

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:

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.

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}.

Answer:

2/3

Step-by-step explanation:

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

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!!

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!

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

[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

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

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).

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

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]

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.

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 : )

Answer:

4b-32

Step-by-step explanation:

(b-8) •4

=4(b-8)

=4b-4•8

=4b-32

Answer:

a

Step-by-step explanation:

90 minutes=1 and a half hour

hour=60 min