What is the sum of the interior angles of the figure shown

Answer:

Multiply the angle measure by two.

Step-by-step explanation:

Answer:

you would multiple the angle and measure by two

Answer:

The value of each grocery store coupon is $6

Then the value of each drugstore coupon is $3.

Step-by-step explanation:

Let's define:

G = value of a grocery store coupon.

D = value of a drugstore coupon.

We know that:

"A welcome kit contains 3 grocery store and seven drugstore coupons. The coupons are worth $45"

We can write this as:

3*G + 7*D = $45

And we also know that:

"Another welcome kit contains three grocery store coupons and six drugstore coupons worth $42"

We can write this as:

3*G + 6*D = $42

Then we have the system of equations:

3*G + 7*D = $45

3*G + 6*D = $42

To solve this, we can isolate the term "3*G" in one of the equations (because it appears on both of them)

Let's isolate it on the second equation:

3*G = $42 - 6*D

Now let's replace this on the first equation:

($42 - 6*D) + 7*D = $45

$42 + D = $45

D = $45 - $42 = $3

Then the value of each drugstore coupon is $3.

And we also have the relation:

3*G = $42 - 6*D

We can just replace the value of D to get:

3*G = $42 - 6*$3 = $42 - $24 = $18

G = $18/3 = $6

The value of each grocery store coupon is $6

Answer:

7

Step-by-step explanation:

Add 5 to 23 which gives you 28

Then divide 28 by 4 and you get 7

Hope this helps!

Answer:

You would have to sell 10,000 in a week for the straight commission offer to be at least as good.

Step-by-step explanation:

From the information provided, you can find how much you would have to sell in a week in order for the straight commission offer to be at least as good by establishing an equation in which the amount earned in the first company is equal to the amount earned in the second company:

0.08x=500+0.03x, where x is the amount of sales

Now, you can solve for x:

0.08x-0.03x=500

0.05x=500

x=500/0.05

x=10,000

According to this, the answer is that you would have to sell 10,000 in a week for the straight commission offer to be at least as good.

Answer:

10 - 9 + 12x = 4x - 9 + 8x

x - 6 = 6 - x

1/2 (6x + 5) = 3x + 2.5

Answer:

[tex]D=(20.42)(28.42)[/tex]

Step-by-step explanation:

From the question we are told that

Width [tex]W=24ft[/tex]

Length [tex]L=32ft[/tex]

She can afford to buy 560 square feet of carpeting

Let

[tex]S=width\ of\ strip[/tex]

Generally the Dimension of the rug is mathematically given as

Width of Rug [tex]W' = (24- 2S)ft[/tex]

Length of Rug [tex]L'= (32-2S) ft[/tex]

Generally the width of strip S is mathematically given by

[tex](32-2s)*(24-2s)=560[/tex]

[tex]-4s-112s+208=0[/tex]

[tex]s_1=-29.7\\s_2=1.748[/tex]

Therefore the width is

[tex]s=1.748[/tex]

Generally the dimension of the rug D is mathematically given as

Width of Rug [tex]W' = (24- 2s)ft[/tex]

[tex]W' = (24- 2(1.79))ft[/tex]

[tex]W' =20.42ft[/tex]

Length of Rug [tex]L'= (32-2S) ft[/tex]

[tex]L'= (32-2(1.79)) ft[/tex]

[tex]L'=28.42 ft[/tex]

Therefore dimension of Rug is given by

[tex]D=(20.42)(28.42)[/tex]

Answer:

D. 1.47

Step-by-step explanation:

Answer:

1.47

Step-by-step explanation:

Answer:

12 R cm

Step-by-step explanation:

Answer: Total weight of bottles = 18/5 pounds or 3.6 pounds.

Step-by-step explanation:

Weight of 1 water bottle is given as  = 3/5 pound

Therefore weight of 6 water bottles will be

= 6 x 3/5 pounds=18/5 pounds or 3.6 pounds.

Answer:

g(x) = 3x^2-3x-9

g(4) =3(4)^2-3(4)-9

g(4)=3(16)-12-9

g(4)=48-12-9

g(4)=27

So B is the correct answer.

Hope this helps!

Answer:

?

Step-by-step explanation:

Answer: Jakob will run 3 1/2 miles in 30 min

Step-by-step explanation: you need to take 7 in half  because half of an hpur is 30 minutes so half of seven is 3 1/2 so that is the answer

Answer:

3.5 miles

Step-by-step explanation:

1 hour = 60 minutes

Proportions:

7 miles = 60 minutes

J miles = 30 minutes

J = 7*30/60

J = 3.5 miles

Answer:

Step-by-step explanation:

In terms of the scores we calculate the sum as:

The number is the sum of the frequencies:

Mean average score is:

Answer:

it is -1/2

Step-by-step explanation:

Question 1 answer: A:40

You can get this by adding 16 to 24 to figure out what number is the best solution, and by doing this you get 40. If you want to check your work you can always do 40-16 or 40-24 to make sure it checks out.

Question 2 answer: D:1875

You can get this by multiplying 75 by 25 to get your answer. This is probably the easiest way to get an answer.

Side Note: If you have any other questions about it feel free to ask me

Answer:

275 miles

Step-by-step explanation:

I hope this helps.

Answer:

The Correct Answer Is C

Step-by-step explanation:

For The triangles have the same angles which checks out and the side sides, if say you simplified the sides or whatever

Therefore, its C

Hope I Helps!

Answer:

Step-by-step explanation:

Given triangles A, B and C

Triangles A and C have congruent angles of 23° and 67° and similar sides with the scale factor of 3.

Triangle B is different, with angles 28° and 62°, therefore can't be similar to A or C.

Correct choice is C

Answer:

x=1

Step-by-step explanation:

you would change it to 5x-4(-3x+5)=-3, because you put the info for the first equation into the second equation.

5x-4(-3x+5)=-3

5x+12x-20=-3

17x-20=-3

17x=17

x=1

Answer:

(1,2)

Step-by-step explanation:

1) To solve using substitution, first isolate one of the variables in one of the equations. However, the y in y = -3x + 5 has already been isolated, so we don't need this step. Instead, take that value of y and substitute it for the y in the other equation, 5x - 4y = -3. So, substitute -3x + 5 for the y in 5x - 4y = -3 and solve:

[tex]5x-4(-3x+5)= -3\\5x+12x-20=-3\\17x-20=-3\\17x = 17\\x = 1[/tex]

2) So, x = 1. Now, take that value of x and substitute back into any of the equations to find the y value. (I chose to substitute it into y = -3x + 5, but either choice is fine). So, substitute 1 for the x in y = -3x + 5 and solve:

[tex]y = -3(1)+5\\y = -3+5\\y = 2[/tex]

So, y = 2. Thus, by knowing both x and y values, the solution would be (1,2).

Answer:

cat costs $10

Step-by-step explanation:

Answer:

$5

Step-by-step explanation:

$110=2x+$100 $10=2x x=5

Answer:

35%of 820

35/100×820

287

...........

Answer:

287

Step-by-step explanation:

100% = 820

35%   = 820 ÷ 100 × 35

         = 287

Answer:

1

Step-by-step explanation:

Answer:

m∠U = 36°

m∠V = 75°

m∠T = 69°

Step-by-step explanation:

(2x+14)+(6x+9)+(6x+3)=180

Combine like terms: 14x+26=180

Solve this equation: x=11

Use x=11 to find angles

∠U = 36°

∠V = 75°

∠T = 69°

You can add up all of these measurements to check. =180°

Answer:

Step-by-step explanation:

The Triangle Sum Theorem states that the 3 angles of a triangle must add up to 180°.

We don't know the angles of the triangle, but we do know that the sum of all three unknown angles is 180°.

We set the three expressions together as equal to 180°.

6x + 3 + 6x + 9 + 2x + 14 = 180

Simplify

14x + 26 = 180

Subtract 26

14x = 154

x = 11

Now, we check our answer for x.

6(11) + 3 + 6(11) + 9 + 2(11) + 14 = 180

69 (measure of angle T) + 75 (measure of angle V) + 36 (measure of angle U) = 180

180 = 180 ✅

Note that once we found x, would substitute it in and get the needed measures. Since the needed measures add up to 180°, we know that our answer is correct.

Answer:

Step-by-step explanation:

sin15=h/30

h=30sin15

h=7.8 mi

Answer:

$18.15

Step-by-step explanation:

Yuki is paying tax of 4.6% + 3.65% = 8.25%

Converting to decimal form, that is 8.25/100 = 0.0825

Multiply that by the original sale price. 0.0825 x $220 = $18.15 exactly for tax.

The question asks for the tax, NOT for the total she will pay. Please don't get them mixed up.

With word problems, alwasy double check that you are answering what is actually asked.   :)