Find the length of a rectangular lot with a perimeter of 144 m if the length is 6 m more than the width. A. 72m B. 39 m
C. 33 m
D. 78 m

8 months

Step-by-step explanation:

Answer:

x = 111°

x° = 111°

(x-42)° = 69°

Step-by-step explanation:

Any polygon with *n* number of sides has an interior angle sum of (n-2) × 180°.

Therefore this right trapezoid must have an interior angle sum of 360° because

a trapezoid has 4 sides → n = 4 →

(n-2) × 180° = (4-2) × 180° = 2 × 180° = 360°

Because we are given a 90 degree angle with a set of parallel sides, the angle above that must also be a right angles well so these will total 180°.

The last two angles are given by the two expressions x°, and (x-42)°. Because we know the sum of these angles which are 360° we can create the following equation from these angles and solve!

180° + 2x - 42° = 360°

(Group the constants / numbers without a variable ; associative property of addition)

180° - 42° + 2x = 360°

(Find the total value of the constants)

138° + 2x = 360°

(subtract 138° from both sides to isolate 2x on the left side ; subtraction property of equality)

138° - 138° + 2x = 360° - 138°

(Work out the value of the constants again)

2x = 222°

(divide by 2 on both sides to cancel out the coefficient of 2 in 2x to get x by itself ; division property of equality)

2x / 2 = 222° / 2

(Simplify the two expressions)

x = 111°

_____________________

To find the measure of the x expressions, just substitute x = 111° into the expressions and simplify to find the measure!

So:

x = 111° → x° = 111°

x = 111° → (x-42)° → (111 - 42)° = (69)° →

(x-42)° = 69°

Answer:

8/27

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

= x + 16° + x + 3° =5x - 8°[ Sum of two interior angles is equal to the exterior angle]

or, 2x + 19 = 5x - 8

or, 19 + 8 = 5x - 2x

or, 27 = 3x

or, x = 27/3

☆ x= 9

Answer:

Sarah has. 25 cups in each serving. Amy has. 2 cups in each serving. Sarah is. 05 more than Amy.

Step-by-step explanation:

Given :

Distance of firefighter from the building, D = 33 feet.

Height of building, h = 45 feet.

To Find :

The angle of elevation of the cat.

Solution :

Let, angle of elevation is Ф.

We know, tan Ф = h/D

tan Ф = 45/33

Ф = tan⁻¹( 45/33 )

Ф = 53.75°

Therefore, angle of elevation is 53.75° .

Hence, this is the required solution.

Answer:

1. 6 to the power of 8

2. 9765625

3. 2 to the power of 4

4. 1296

5. I do not know 5 sorry.

6. 117649

Step-by-step explanation:

Answer:

i think... x=6

Step-by-step explanation:

3x+9=x+21

3x−x=12

2x=12

x=6

Answer:

D

slope is 2 and y-intercept is (0, -4)

Step-by-step explanation:

4x-2y= 8  move variable x to the right (change signs)

- 2y= -8 + 4x   Divide both sides by 2

y= -4 + 2x        reorder terms using communitive property

y = 2x  -4

y= mx + b

Answer:

-3

Step-by-step explanation:

[tex]\sqrt[3]{-27}[/tex] is -3 and can be proven by doing [tex]-3^{3}[/tex] as -3 x -3 x -3 of itself will give you -27, as [tex]\sqrt[3]{-27}[/tex] is just -27/-3/-3

Answer:

Step-by-step explanation:

a. RG=36 since RG=2(RT)

b.

4x+12=10x-15 Since RG and HI are equivalent

12=6x-15 Subtract 4x from both sides

27=6x Add 15 to both sides

4.5=x Divide by 6 on both sides

to double check:

4(4.5)+12=30

10(4.5)-15= 30

so x=4.5

Answer:

h(-3) = -1

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

h(x) = -3x - 10

h(-3) is x = -3

Step 2: Evaluate

Answer:

60 minus 32

Step-by-step explanation:

Since she freezes 32 ozs everytime, shes taking away 32 oz, so your bassicaly losing 32 ozs temperorily.

Answer:

Open dot to the left. Dot on zero.

Step-by-step explanation:

Answer:

I hope this helps!

Answer:

(0,-6/5)

(X,Y)

Step-by-step explanation: MARK BRAINLIEST

Answer:

(-3,0)   (0,-1.2)

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Answer:

The answer is 135 in 3.

Step-by-step explanation:

To find the volume of a square pyramid, first you need to find the base and height. In this case,

a = 9

h = 5

Now we use the formula (1/3 a^2 h) To find the volume.

I will use )( To show numbers being multiplied, example: 3)(4 = 12

=1/3)(9 cm^2)(5 cm

=1/3)(81 cm)( 5 cm

= 135 in. 3

Answer:

2nd one

Step-by-step explanation:

Graph-2 is correct line that represents the parking charge of the public garage.

A linear equation is an equation where the variable has the highest degree of 1.

Given, a public parking garage charges $5, plus an additional $2 per hour.

For 1 hour, the total cost will be = $(5 + 2 × 1) = $7.

For 2 hours, the total cost will be = $(5 + 2 × 2) = $9.

For 3 hours, the total cost will be = $(5 + 2 × 3) = $11.

For 4 hours, the total cost will be = $(5 + 2 × 4) = $13.

For 5 hours, the total cost will be = $(5 + 2 × 5) = $15.

Here, the increase in parking cost is in the form of linear equation and it increases $2 with the increase in every hour.

Therefore, graph-2 represents the actual line of cost of the parking charge and time.

Learn more about linear equation here: https://brainly.com/question/2263981

#SPJ2

Answer:

3

My logic:

so she jars 10 on the first day (that is 1 day) and she wants to jar 16. so if you subtract 10 from 16 you get 6. Now we know she wants to jar 6 more, and if she does 3 every day then you would divide 6 by 3 and get 2. 2+1 is 3, so 3 days. (if you cant chose 3 chose 2 because your teacher might not want yo to count the first day)

Hope this helped!

Answer:

4x+8=y

Step-by-step explanation: This is because you take everything and isolate the y you take the 8x and subtract it from the other side then after that you divide everything by -2 to get your answer

Answer:

1080

Step-by-step explanation:

Answer:

m∠R = 69

Step-by-step explanation:

m∠R + m∠S + m∠T = 180       {Angle sum property of triangle}

5x - 11 + 3x - 3 +  3x + 18 = 180

5x + 3x + 3x - 11 - 3 + 18 = 180     {Combine like terms}

                     11x  +4      = 180

                                 11x = 180 - 4

                                 11x = 176

                                    x = 176/11

x = 16

m∠R = 5x - 11

        = 5*16 - 11

        = 80 - 11

m∠R = 69

Answer:

3.5 meters

Step-by-step explanation:

Equation: p = 0.8L

Given: p = 2.80

To find the length of a piece of nylon rope that costs $2.80, input the given value of p(2.80) into the equation and solve for L:

p = 0.8L

2.8 = 0.8L

Divide both sides by .8 to isolate L:

[tex]\frac{2.8}{0.8} =\frac{0.8L}{0.8}[/tex]

3.5 = L

The length of a piece of nylon rope that costs $2.80 is 3.5 meters long.

Answer:

x = 8mi

Step-by-step explanation:

Use Pythagorean theorem! It states that you can find any side of the triangle using the equation  +  =  . The sides a and b are the sides that are shortest, and c is the longest/slanted side (hypotenuse). So plug in what they give you to get  +  =  ( a and b can be used for either number that is not the hypotenuse). A little bit of basic algebra will lead you to get x=8 mi.

Answer:

X=8

The three lines means that IN and AT are equal so IN must equal 26. 2(8)=16 and 16+10=26

Answer:

16

Step-by-step explanation:

Given that:

For every 3 red roses bushes for every 4 yellow bushes are planted by Nana in her garden.

Let us first have a look at the ratio of red roses bushes and yellow bushes.

Number of red roses bushes : Number of yellow bushes = 3 : 4

Now, we are given that there are 12 red rose bushes planted.

To find: How many yellow rose bushes Nana will plant?

Solution:

Let us use unitary method for finding the required answer.

Number of yellow rose bushes for every 3 red roses = 4

Number of yellow rose bushes for every 1 red rose = [tex]\frac{4}{3}[/tex]

Number of yellow rose bushes for every 12 red rose = [tex]\frac{4}{3}\times 12 = 4\times 4 = \bold{16}[/tex]

Therefore, the answer is 16.

Answer:

See Explanation

Step-by-step explanation:

[tex]25x + 30y = 340\\y = 2x\\[/tex]

x=number of hours Isaiah worked.

y=number of hours Cooper worked

Just by looking at this question, I say there is no solution because these two equations do not touch or meet on the xy-plane.

- х= -у.........A

6x - бу = 12.........B

Solve A for x.

-x = - y

Divide both sides by negative 1.

Doing so, we get x = y. Plug this into B.

6x - 6y = 12

6(y) - 6y = 12

The left side becomes zero.

0 = 12 is a false statement.

Answer: There is no solution to this system of

equations in two variables.

Understand?