Decide whether there is enough information to prove that a∥b. If so, state the theorem you would use.

Answer:

The value of Car B will become greater than the value of car A during the fifth year.

Step-by-step explanation:

Note: See the attached excel file for calculation of beginning and ending values of Cars A and B.

In the attached excel file, the following are used:

Annual Depreciation expense of Car A = Initial value of Car A * Depreciates rate of Car A = 30,000 * 20% = 6,000

Annual Depreciation expense of Car B from Year 1 to Year 6 = Initial value of Car B * Depreciates rate of Car B = 20,000 * 15% = 3,000

Annual Depreciation expense of Car B in Year 7 =  Beginning value of Car B in Year 7 = 2,000

Conclusion

Since the 8,000 Beginning value of Car B in Year 5 is greater than the 6,000 Beginning value of Car A in Year 5, it therefore implies that the value Car B becomes greater than the value of car A during the fifth year.

It’s the 7th year

Plato

Answer:

x=3

Step-by-step explanation:

5(2x+1)=35

Step 1: Simplify both sides of the equation.

5(2x+1)=35

(5)(2x)+(5)(1)=35(Distribute)

10x+5=35

Step 2: Subtract 5 from both sides.

10x+5−5=35−5

10x=30

Step 3: Divide both sides by 10.

x=3

Answer:

p=23

Step-by-step explanation:

Answer:

P=23

Step-by-step explanation:

38-15=23

p=23

Hope this helps

Have a great day!

Answer:

2340 degrees.

Step-by-step explanation:

The sum of the interior angle measures of any polygon can be calculated using the following expression ([tex]n[/tex] is the number of sides the polygon has):

[tex]180(n-2)[/tex]

For a 15-sided polygon, plug in 15 for n and simplify:

[tex]180(15-2)=180(13)[/tex]

Multiply to solve:

[tex]180(13)=2340[/tex]

For a 15-sided polygon, the sum of the interior angles must be 2340 degrees. You can go a step further and divide 2340 by 15 to figure out the individual measure of each interior angle (156 degrees).

The sum of the interior angles of a fifteen-sided polygon is 2340°.

The formula for calculating the sum of interior angles is (n-2)×180° where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.

Given that, a fifteen-sided polygon.

Now, the sum of the interior angle measures is

(15-2)×180°

= 13×180°

= 2340°

Therefore, the sum of the interior angle measures is 2340°.

Learn more about the sum of interior angles here:

https://brainly.com/question/28793979.

#SPJ2

Answer:

16

Step-by-step explanation:

according to the question

5x-7=8x-55

8x-5x=-7+55

3x=48

x=48/3

x=16

Answer: 15 remainder 3.

Step-by-step explanation:

Answer:

x = 3 or x = 7

Step-by-step explanation:

X² - 8x + 14 = 2x - 7

x² - 8x + 14 - 2x + 7 = 0

Now we have a quadratic equation ;

x² - 10x + 21 = 0

-3 and - 7 gives a sum of - 10 and a product of 21

x² - 3x - 7x + 21 = 0

x(x - 3) - 7(x - 3) = 0

(x - 3) = 0 or (x - 7) = 0

x = 3 or x = 7

Answer:

It's C

Step-by-step explanation:

Answer:

D. RS = DQ

Step-by-step explanation:

SSS = Side-side-side congruence criteria!

One is given, other is common, and we have RS=DQ

Answer/Step-by-step explanation:

According to the Side Side Side rule (SSS) Side RQ is congruent to side DS.

RQ ≅ DS.

This means that in order to complete the chart:

RS ≅ DQ

Answer:

423 mph

Step-by-step explanation:

To find the answer, you have to divide 1,269 by 3 since we want to find how many miles the plane travels in one hour. Doing this, we end up with 423 which is the answer.

Step-by-step explanation:

A nonstop flight from Albuquerque, NM to Atlanta, GA takes 3 hours. If the plane flies a total of 1,269 miles, what is the plane’s unit rate in miles per hour?

1,269 % 3 = 423

I'll help

The sum of the prices for the items(That's 2large baskets and small gift baskets) for the first customer is $57. So assuming the price of a large basket is x and small basket is y, then an expression for the first sentence is;

2x + 5y= 57

The sum of the prices for the second customer is $6 less than the first customer ( that's 57-6 which is $51). Since he bought 1 large basket and 10 small baskets and the price of each large basket is the same and the price of each small basket is the same they assume the same variable of x and y. So the expression of the second sentence is;

x+10y=51.

So the expressions will be;

2x+5y=57

x+10y=51

That's Option C

Answer:

It's 2

Step-by-step explanation:

Hope this helps

Step-by-step explanation:

p=2(l+w)

30cm=2(n+6+n)

30cm\2=2n+6

15cm-6=2n

9cm=2n

n=4.5cm or w=4.5cm

l=w+6

l=4.5cm+6

l=10.5cm

Answer:

ok

Step-by-step explanation:

Answer:

YES. (2, 7) is a solution of the system.

Step-by-step explanation:

System of linear inequalities has been given as,

y ≥ -x + 1 --------(1)

y < 4x + 2 ------(2)

If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.

By substituting the coordinates of point (2, 7) in inequality (1),

7 ≥ -2 + 1

7 ≥ -1

True.

By substituting the coordinates of point (2, 7) in inequality (2),

7 < 4(2) + 1

7 < 9

True.

Therefore, point (2, 7) lie in the solution area of system of inequalities.

YES. (2, 7) is a solution of the system.

Answer:

the slope is 1/2

Step-by-step explanation:

find the change in y over the change in x

2-0/0+4

you get 2/4 then simply that to 1/2

Answer:

0.5

Step-by-step explanation:

on edg

Answer:

I think it's consistent

Step-by-step explanation:

Answer:

Step-by-step explanation:

we have a rectangle that measure 21 inches by 16 inches

to find the rectangle(which is the hypotenuse)  we will use Pythagorean theorem

c^=a^2+b^2

c^=21^2+16^2=697

c=[tex]\sqrt697}[/tex] =26.40 which rounded to the nearest tenth =26

Answer:

9 pieces of candy.

Step-by-step explanation:

The information about how many boys there are is irrelevant, so we can just ignore that.

The important information is that the teacher has 396 pieces of candy and that it is split between 44 students equally.

So, to solve, we just do 396 / 44 = 9.

Therefore, each student will get 9 pieces of candy.

Answer:

the answer is (-3,-3)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

18 racers finished.

Step-by-step explanation:

In the first half, 30 racers dropped out, because 2/3 of 45 is 30. In the 2nd half, 12 racers dropped out, because that is 2/5 of 30. So, in the end, 18 racers finished. (I might have done this wrong i did my best)

Answer:

1

Step-by-step explanation:

[tex] {8}^{0} = 1 \\ [/tex]

Any number raised to zero is always equal to one.

Answer:

D

Step-by-step explanation:

Answer:

(g - f) - 4

Step-by-step explanation:

Subtract f from g = g - f

Subtract 4 from the result = (g- f) - 4

Answer:

15x12=180mm

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

if you draw the picture in your copybook you will see that there is a right triangle, we have the Pythagorean theorem i.e c=√a²+b²

15=√9²+x². the trees tall=X

15²=9²+x²

x²= 144

X= 12

hope you will understand

Step-by-step explanation:

8+9= 17

7 3/4 + 7 1/4= 15

15 + 5 1/2= 20 1/2

17 + 20 1/2 = 37 1/2