A 7-foot by 3-foot doorway is cut into the 23 by 22 foot trapezoid wall. What is the area of the wall without the door way?

Answer:

m∠DEC = 123°

Step-by-step explanation:

First we need to solve for x the equation: x = (x - 45) + (x-12)

x = (x - 45) + (x-12) ⇔ x = 2x -57 ⇔ 0 = x - 57 ⇔ x = 57

since m∠DEC = 180 - x  then   m∠DEC = 180 - 57 = 123

Answer:

Step-by-step explanation:

Height of wall = 10ft

Length of ladder = 12ft

Angle of elevation be x

Sin x = opp/hyp

Sin x = wall height/length of ladder

Sin x = 10/12

Sin x = 0.83

X = Sin-¹ (0.83)

X = 56.44°

Answer:

x=8

Step-by-step explanation:

17=x+9

-9     -9

8=x

Answer:

x=8

Step-by-step explanation:

17-9=8

8+9=17

Final answer:

To find how long it takes Miguel to drive 469 miles at the same rate he drove 737 miles, simply divide the distance by his speed. In this case, it would take him 7 hours.

Explanation:

To find the time it would take Miguel to drive 469 miles at the same rate:

Therefore, it would take Miguel 7 hours to drive 469 miles at the same rate.

Answer: he spent $100.10 and gained $42.90

Step-by-step explanation:

Answer:

15: 1

Step-by-step explanation:

Please see attached picture for full solution.

a cube has 6 sides reeeeeeeeeeeeeeeeee

a cube has 6 sides

1 in the front

1 in the back

1 on top                   = 6 sides

1 below

1 to one side

1 to another side

Option C

For x = 1.5 we get f(x) = -2

Solution:

Given function is:

[tex]f(x) = 3.4x - 7.1[/tex]

We have to find the value of "x" so that f(x) = -2

Substitute f(x) = -2 in given function

[tex]-2 = 3.4x - 7.1[/tex]

Solve for "x" by moving the constants to one side and variables to other side

[tex]3.4x = -2 + 7.1\\\\3.4x = 5.1\\\\ \text{Divide both the sides of equation by 3.4 }\\\\x = \frac{5.1}{3.4}\\\\x = 1.5[/tex]

For x = 1.5 we get f(x) = -2

We can verify by substituting x = 1.5 in given function

[tex]f(1.5) = 3.4(1.5) - 7.1\\\\f(1.5) =5.1-7.1\\\\f(1.5) = -2[/tex]

Thus for x = 1.5 we get f(x) = -2

Answer:

17

Step-by-step explanation:

a[2]+b[2]=c[2]

8*8+15*15=hypotenuse.

64+225=289

[tex]\sqrt{x} 289[/tex]

hypotenuse=17

Answer:

[tex]\frac{15}{17}[/tex]

Step-by-step explanation:

Look at the photo below for the details.

:)

Answer:

18

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Answer:

18

Step-by-step explanation:

1/3x=6

x=6/(1/3)

x=(6/1)(3/1)

x=18/1

x=18

To prove MN = 2KL we can use the Multiplication Property of Equality and SAS Similarity Theorem.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

K is the midpoint of MJ.

L is the midpoint of NJ.

It is required to prove: MN = 2KL

From the diagram and table given in the picture:

1. K is MJ's midway. L is where NJ splits in half. ~ Given

2. MK, KJ, and NL, LJ: Midpoint Definition

3. Segment Congruence Postulate: MK=KJ and NL=LJ

4. Segment Addition Postulate: MJ = MK + KJ and NJ = NL + LJ

5. Substitution Property of Equality: MJ = 2KJ, NJ = 2LJ

6. The Division Property of Equality: MJ/KJ = NJ/LJ = 2

7. The Reflexive Property of J

8. The SAS Similarity Theorem, JMN, and JKL

9. Corresponding parts of identical triangles have a proportional relationship (MN/KL = MJ/KJ).

10. Substitution: MN/KL = 2

11. The Multiplication Property of Equality: MN = 2KL

Thus, to prove MN = 2KL we can use the Multiplication Property of Equality and SAS Similarity Theorem.

Learn more about the triangle here:

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Answer:

0.0173913043

Step-by-step explanation:

I used a calculator

Answer:

700

Step-by-step explanation:

Hope this helps!

The problem is a mathematical exercise in determining the total number of movies rented from the provided percentage of those returned. By setting up an equation and solving it, we find that the total number of movies rented was 700.

The student's question is on a mathematical concept related to percentages and determining the whole from a percentage portion. From the information provided, 434 movies, which represent 62% of the total number of movies rented last week, were returned. To calculate the total number of movies rented, we can let the total be x. With this, the equation representing the scenario is 0.62x = 434.

By solving for x, we get x = 434 / 0.62. After the calculation, we find that the total number of movies rented last week was 700. Therefore, the store originally rented out 700 movies.

Remember that when dealing with percentages, the percentage value (in this case, 62%) must be converted into decimal form before performing any calculation. This is done by dividing the percentage by 100, thus 62% becomes 0.62. For clarity, here's the step-by-step procedure:

The total cost which includes tip, food cost without tax and sales tax for the considered situation is 19.63 bucks approximately.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we're specified that:

Pizza cost = 15.95 +7% of tax on 15.95 bucks

Tip  = 15%  of pizza cost

Total cost = Pizza cost + tip

7% of 15.95 is: [tex]\dfrac{15.95}{100} \times 7 = 1.1165[/tex] bucks

Thus, pizza cost = The  (15.95 + 1.1165) = 17.0665

Tip price = 15% of 17.0665 = [tex]\dfrac{17.0665}{100} \times 15 \approx 2.56[/tex] bucks.

Thus, total cost ≈ 17.0665 + 2.56 ≈ 19.63 bucks

Learn more about percent here:

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Answer:

Step-by-step explanation:

1) pentagon; n= 5

Sum of interior angles = 180*(n -2) = 180* (5-2) = 180 * 3 = 540

2) Sum of interior angles of a polygon = 1080

180*(n-2) = 1080

n - 2 = 1080/180

n -2 = 6

n = 6+2

n = 8

Polygon has 8 sides

3) Sum of interior angles of a polygon = 6840

180*(n-2) = 6840

n - 2 =6840/180

n -2 = 38

n = 38 + 2

n = 40

Polygon has 40sides

4)Sum of interior angles of an octagon = 180*(n-2) = 180* (8-2) = 180 - 6 = 1080

The sum of the interior angles of the 10-sided polygon on the left is 1440 °.

The answer is : 1440

Answer:

Step-by-step explanation:

72%

Answer: 72%

Step by Step Explanation:

1. We assume, that the number 25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 25, so we can write it down as 100%=25.

4. We know, that x% equals 18 of the output value, so we can write it down as x%=18.

5. Now we have two simple equations:

1) 100%=25

2) x%=18

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=25/18

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18 is what percent of 25

100%/x%=25/18

(100/x)*x=(25/18)*x       - we multiply both sides of the equation by x

100=1.38888888889*x       - we divide both sides of the equation by (1.38888888889) to get x

100/1.38888888889=x

72=x

x=72

now we have:

18 is 72% of 25

The maximum number of pages for which the time to print at Jerry's Print Shop is less than at Joe's Print Shop is 14.

This question deals with comparing two linear equations [tex]t1 = 45 + 5p[/tex] for Joe's Print Shop and t2 = 30 + 6p for Jerry's Print Shop. To determine the maximum number of pages (p) where Jerry's shop is quicker than Joe's, we need to find the value of p where t2 < t1.

Setting the two equations equal to each other, we get:

[tex]45 + 5p = 30 + 6p,[/tex]

Solving this equation, we find that p = 15.

However, p=15 is when the time at both shops is the same. Since we want the number of pages for which Jerry’s is less than Joe's, we should choose the next value lower, which is p=14.

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Answer:

Step-by-step explanation:

In order to graph [tex]y\geq 2[/tex], we first need to graph y = 2.

y = 2 is a straight line which will be parallel to the x-axis.

We need to graph [tex]y \geq 2[/tex].

3, 4, 5......> 2. That is, all these values satisfies [tex]y \geq 2[/tex].

Hence, the will be the area towards the points y = 3 / 4 / 5 / ......

You can park in the garage for 5 hours 30 minutes

Solution:

Given that, shopping mall parking garage charges $2 for the first half hour and $1.20 for each additional half hour (even if it is under 30 minutes)

Therefore,

Cost for first half an hour = $ 2

Cost for each additional half an hour = $ 1.20

Let "x" be the number of each additional half hour

Therefore, total cost to pay is given as:

Total cost = Cost for first half an hour + (Cost for each additional half an hour)(number of each additional half hour)

Total cost = 2 + 1.20x

Given you have $ 8 in cash

[tex]8 = 2 + 1.20x\\\\1.20x = 8 - 2\\\\1.20x = 6\\\\x = \frac{6}{1.20}\\\\x = 5[/tex]

Total hours parked = first half an hour + 5

Thus you can park in the garage for 5 hours 30 minutes

the Distributive Property uses two operations: multiplication and addition. It is an essential key to success in algebra. The Distributive Property allows you to "distribute" a number to each of the addends within parentheses. It offers another way of solving a problem.

Answer:

A math property.

Step-by-step explanation:

Say you have a two big number and you don't know the answer on top of your head. You use distributive property to break it apart.

Answer:

2

Step-by-step explanation:

see the image for the explanation

Answer:

there were 12 pencils in each packet

Answer:

-add 8 and 40

-divide by 4

-not sure

-12

Step-by-step explanation:

Answer:

  no

Step-by-step explanation:

If you mean

  27^4 - 9^5·3^9 = -1161730026

it has no factors of 5, so cannot be divisible by 25.

__

If you mean ...

  (27^4 -9^5)/3^9 = ((3^3)^4 -(3^2)^5)/3^9 = 3^10(3^2 -1)/3^9 = 3(9-1) = 24

it is not divisible by 25, either.

Answer:

[tex]3^9(25)[/tex]

Step-by-step explanation:

Let's rewrite all values with a base of 3:

[tex]27^4 = (3^3)^4 = 3^{12}\\\\\\9^5 = (3^2)^5 = 3^{10}\\\\\\3^9 = 3^9[/tex]

Now, let's factor the equation:  [tex]3^{12} -3^{10} + 3^{9}[/tex]

[tex]\\3^{12} -3^{10} + 3^{9}\\\\= 3^9(3^3 - 3 + 1)\\\\= 3^9(27 - 2)\\\\= 3^9(25)[/tex]

Your answer is    [tex]3^9(25)[/tex]

Answer:

I think its B. because if you put 6/4and reduce it it would be 3/2

Step-by-step explanation:

Answer:

C. 5/8

Step-by-step explanation:

P(red) = 6/16

p(blue) = 4/16

p(red or blue) = P(red) + p(blue) = (6+4)/16 = 10/16 = 5/8

Answer:

Step-by-step explanation:

form.

2 1/2divide2 1/6

= 5/2 ÷ 13/6

= 5/2 × 6/13

= (5×3)/13

= 15/13

= 1 2/13

Answer:

1 2/13.

Step-by-step explanation:

2 1/2 / 2 1/6

= 5/2 / 13/6

= 5/2 * 6/13

= 30/26

= 15/13

= 1 2/13

=

The number of 9-players team formed = 7 teams.

The number of players for substitute = 5 substitute players.

Step-by-step explanation:

step 1: The total number of soccer players = 32 girls + 36 boys = 68 players.

step 2: Each team should have 9 players.

step 3:The number of 9-player teams that can be formed = 68/9 = 7 and Remainder is 5.

step 4: Therefore, The number of 9-players team formed = 7 teams.

The number of players for substitute = 5 substitute players.

Good evening

Answer:

Step-by-step

let c be the total number of cartoons

Cost of purchase = 50c

total sale price = 100(c-15)

profit = total sale price - cost of purchase    

        = 100(c-15) - 50c = 2250 cents

Then (100c-50c) - 1500 = 2250

then 50c = 3750

Then c = 3750/50 = 75

:)

Answer:

45°

Step-by-step explanation:

We know ∠ Y +∠ S = 90

and ∠ S= 5 ( ∠ Y)-180  so

leave S alone for both

90- ∠Y = 5 ( ∠Y) -180

270 = 6( ∠Y )

45= ∠ Y

∠S = 5( 45) -180

     =225-180

     =45

Final answer:

The measure of angle Y (m∠Y) is 45°, following the equation derived from the facts that angles S and Y are complementary and m∠S equals 5 times m∠Y minus 180°.

Explanation:

If ∠S and ∠Y are complementary angles, then the sum of their measures is 90°. According to the given information, m∠S = 5(m∠Y) − 180°. Since m∠S + m∠Y = 90°, we can set up the equation:

5(m∠Y) − 180° + m∠Y = 90°

Combining like terms to solve for m∠Y:

6(m∠Y) = 90° + 180°

6(m∠Y) = 270°

m∠Y = 270° / 6

m∠Y = 45°

The measure of angle Y, m∠Y, is 45°.

Answer:

D.Train A by a factor of 1.1

Step-by-step explanation: