Answer the questions below.

(a)
The perimeter of the rectangular garden is 330 m.

If the width of the garden is 77 m, what is its length?


Length of the garden: [] m.


(b)
The area of a rectangular window is 6734 cm².

If the length of the window id 91 cm, what is its width?


Width of the window [] cm.

Answer:

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Therefore, we can set up an equation using the measures of the angles in triangle ABC:

ZABD + CBD + ABC = 180

Substituting in the given measures, we get:

(0.12x + 64) + (0.13x + 28) + ABC = 180

Simplifying and solving for x, we get:

0.25x + 92 + ABC = 180

ABC = 180 - 0.25x - 92

ABC = 88 - 0.25x

We know that the measure of angle ABC is 0.11x + 12. Substituting this into the equation for ABC, we get:

0.11x + 12 = 88 - 0.25x

Solving for x, we get:

0.36x = 76

x = 211.11

Therefore, the value of x is approximately 211.11.

Answer:

x = 352

Step-by-step explanation:

From the given Linear Pair, we can observe that ∠ABD and ∠CBD form a Straight Angle which is 180°.

∠ABD = 0.12x + 64°

∠CBD = 0.13x + 28°

Now we can understand that ∠ABD + ∠CBD = ∠ABC (Linear Pair)

∠ABC = 180°

So, ∠ABD + ∠CBD = 180°

(0.12x + 64°) + (0.13x + 28°) = 180°

(0.12x + 0.13x) + (64° + 28°) = 180° (Distribution Property)

0.25x + 92° = 180°

0.25x = 180° - 92°

0.25x = 88°

x = 88/0.25

x = 352

Hope my answer helps you ✌️

Mark BRAINLIEST

Answer:

Step-by-step explanation:

38.13 inch² (Approximately)

The following figure has a Semicircle and a Rectangle.

The length of the Rectangle = 6 inches

The breadth of the Rectangle = 4 inches

Area of a Rectangle = Length * Breadth

                                   = 6 * 4

                                   = 24 inch²

Diameter of the Semicircle = 6 inches

Radius of the Semicircle = Diameter/2

                                          = 6/2

                                          = 3 inches

Area of a Semicircle = πr²/2

                                   = 3.14 * 3²/2

                                   = 3.14 * 3 * 3/2

                                   = 3.14 * 9/2

                                   = 1.57 * 9

                                   = 14.13 inch² (Approximately)

Total area of the figure = Area of the rectangle + Area of the Semicircle

                                        = 24 + 14.13

                                        = 38.13 inch² (Approximately)

Hope my answer helps you.

:)

Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss

Answer:17.6

Step-by-step explanation:

If 60% was taken off then what woold be left would be 40%. 40% translated into a decimal is 0.4 if you multiply that by 44 you would get the answer of 17.6.

Answer: $17.6

Step-by-step explanation:

100%-60%=40%. 40/100=0.4 and then you multiply 0.4x44=17.6. The price is now $17.6

Answer: Y

Step-by-step explanation:

Remember: 1 yard = 3 feet. Consider this for all the choices!!

W starts at (0, 1) making it automatically incorrect as 0 yards cannot equal a foot, it equals zero feet.

X has a point marked (1, 0) making it automatically incorrect as 1 yard does not equal to 0 feet.

Z starts with the point (0, 3) making it automatically incorrect as 0 yards cannot equal 3 feet,

Y does not have any incorrect points, and properly illustrates that 1 yard is equal to 3 feet with the points provided, Y is correct

Answer: 540 degrees! :D

Step-by-step explanation:

So you can see, there is a little angle on the inside of the pentagon already. How many letters are there on each of the little corners? 5.

You would multiply 108 times 5. That comes out to 540 degrees!

Hope this helps! :)

Answer: It's B) 540°

Step-by-step explanation: I just multiplied 108 by 5 since there are 5 angles on that pentagon.

Hope It Helped! :D

Answer:

30

Step-by-step explanation:

3x+ 10= 100

-10           -10

3x=90

divide both sides by 3 nd you get 30

Answer:

Factors are like numbers that are multiplied together to get that number

Using 25:

The factors of 25 are 1,5,25

1*25 = 25 and 5*5 = 25, so they are the factors of 25

Multiples are the products of the specified number and another number

Using 25:

Some of the multiples of 25 are 25, 50, 75, 100 and so on

25*1 = 25, 25*2 = 50, 25*3 = 75, 25*4 = 100, so they are the multiples of 25

Hope this helps!

Answer:

Step-by-step explanation:

no picture

Answer:

56 is the perimeter!!

Step-by-step explanation:

Answer:0.75x+9.75

Step-by-step explanation:

First, you will have to distribute (multiply) the 0.75 to both the s and 13 inside the parenthesis which would get you 0.75x+9.75

Let's first find the total cost of the text messages Craig can send in a month. Craig is allowed to send 450 text messages without any additional charges. If he sends more than that, he will be charged $0.25 per message. Let's say he sends x additional messages over the 450 allowed:

Cost of additional messages = $0.25 * x

So, the total cost of Craig's text messages in a month is:

Total cost = Cost of allowed messages + Cost of additional messages

Total cost = $0 + $0.25x

Total cost = $0.25x

We know that Craig has a budget of $26 for his cell phone bill. We can set up an equation to represent this:

Total cost ≤ $26

Substituting the expression for the total cost of Craig's text messages, we get:

$0.25x ≤ $26

Dividing both sides by $0.25:

x ≤ 104

Therefore, Craig can go over the allowed amount by at most 104 text messages without breaking his budget of $26.

Answer: he can go over by 104

Step-by-step explanation:Total cost = $0 + $0.25x

Total cost = $0.25x

Total cost ≤ $26

Substituting the expression for the total cost of Craig's text messages, we get:

$0.25x ≤ $26

Dividing both sides by $0.25:

x ≤ 104

Therefore, Craig can go over the allowed amount by at most 104 text messages without breaking his budget of $26.

have a good day

Answer:

138

I hope i was able to help u,if i was ,please mark me brainliest pls

Answer:

138. Steps are shown above.

Answer:

To find the x-intercept, substitute in

0 for y

and solve for x. To find the y-intercept, substitute in

0 for x

and solve for y.

x-intercept(s): (−5,0)

y-intercept(s): (0,10)

Step-by-step explanation:

90 30 + 50 +(2x+10)=90

Answer: 3

Step-by-step explanation: 15% of the people surveyed had both a cat and a dog, so you would find 15% of 20. Find 15% of 20 by doing 20 x .15

Answer:324

Step-by-step explanation:

ifdosfsf

Answer:

The retail price is $17 × 1.3 = $22.10.

Answer:

480

Step-by-step explanation:

Let x be the number of pounds of candy that sells for $1.25 per lb that we need to mix, and let y be the number of pounds of candy that sells for $0.75 per lb. We can set up a system of equations to represent the problem:

x + y = 20 (we need a total of 20 pounds of candy in the mixture)

1.25x + 0.75y = 1.20(20) (the value of the mixture should be $1.20 per lb)

Simplifying the second equation, we get:

1.25x + 0.75y = 24

Multiplying the first equation by 0.75 and subtracting it from the second equation, we can eliminate y:

1.25x + 0.75y = 24

0.75x + 0.75y = 15

0.5x = 9

Dividing both sides by 0.5, we get:

x = 18

Therefore, we need 18 pounds of candy that sells for $1.25 per lb and 2 pounds of candy that sells for $0.75 per lb to make a 20-pound mixture that sells for $1.20 per lb.

Answer:

The length is 192ft

Step-by-step explanation:

To find the length you have to find the scale used to draw the image which would be the width given divided by the width in yards then multiply the given length by the scale to get the length in yards.

Hope this helps :)

Answer:

The value of x is 21

Step-by-step explanation:

2x+21 is a linear equation with one unknown, x. To solve for x, we can use the following steps:

1. Subtract 21 from both sides of the equation. This will isolate x on the left-hand side of the equation.

```

2x+21 - 21 = x

```

2. Divide both sides of the equation by 2. This will divide both sides of the equation by 2, which will cancel out the 2 on the left-hand side of the equation, leaving x by itself.

```

x = (2x+21)/2

```

3. Simplify the right-hand side of the equation.

```

x = x/2 + 21/2

```

4. Combine like terms on the right-hand side of the equation.

```

x = (1/2)x + 21/2

```

5. Subtract (1/2)x from both sides of the equation. This will isolate x on the left-hand side of the equation.

```

x - (1/2)x = (1/2)x + 21/2 - (1/2)x

```

6. Simplify the right-hand side of the equation.

```

(1/2)x = 21/2

```

7. Multiply both sides of the equation by 2. This will multiply both sides of the equation by 2, which will cancel out the (1/2) on the left-hand side of the equation, leaving x by itself.

```

2*(1/2)x = 21/2 * 2

```

8. Simplify the right-hand side of the equation.

```

x = 21

```

Therefore, the value of x is 21.

Answer: Y

Step-by-step explanation: because 1 x 12 is 12 and 2 x 12 is 24

Answer:11people

Step-by-step explanation:

Answer:  21.4 pounds

Step-by-step explanation:

To calculate the amount of weight that is made up of body fat, you need to multiply the weight by the body fat percentage.

Weight of body fat = 162 pounds x 13.2% = 21.384 pounds

Then, round it to the nearest tenth which is,  21.4

Therefore, approximately 21.4 pounds of the individual's weight is made up of body fat.

Answer: 21.4 lb

Step-by-step explanation:

The question is asking how much weight consists of body fat.

We know that 13.2% of the total weight is body fat, and the total weight is 162 pounds.

Multiply to find out the body fat weight.

Percentage as a decimal over 1 * 162

0.132 * 162 = 21.384 lb

Round to nearest tenth: 21.4 lb

To add these fractions, we need to find a common denominator. The least common multiple of 7, 4, and 3 is 84, so we will use 84 as the common denominator.

2/7 + (-3/4) + (-2/7) + 4/3

= (2/7) * (12/12) + (-3/4) * (21/21) + (-2/7) * (12/12) + (4/3) * (28/28)     (multiplying each fraction by an equivalent form to get a common denominator of 84)

= 24/84 - 63/84 - 24/84 + 112/84       (simplifying each fraction)

= -51/84 + 112/84                           (combining like terms)

= 61/84                                           (simplifying the resulting fraction)

Therefore, 2/7 + (-3/4) + (-2/7) + 4/3 = 61/84.

Answer:

7/12

Step-by-step explanation:

2/7 + (-3/4) + (-2/7) + 4/3

2/7 - 3/4 - 2/7 + 4/3   (+ * - = -)

2/7 - 2/7 - 3/4 + 4/3   (Distribution Property)

0 - 3/4 + 4/3

- 3/4 + 4/3

4/3 - 3/4   (Distribution Property)

LCM = 3 * 4

        = 12

(16 - 9) / 12

7/12

So, the final answer is 7/12.

Hope my answer helps you ✌️

Mark BRANLIEST

Answer: B

Step-by-step explanation:

The angles of a regular hexagon are all equal.

Answer: Your answer will be B) 120°

Step-by-step explanation: All the sides of a hexagon are the same so it's the same as the other degree.

Answer:

θ =  23.9°

Step-by-step explanation:

tan θ = 23/52

θ = arc tan (23/52)

=23.86°

= 23.9° to one decimal place