Lucas has a 39-foot-long rope. He uses all the rope to outline this T-shape in his backyard. All the angles in the figure are right angles. (Work out and answer number 13 and number 14, please.)

Answer:

Step-by-step explanation:

The area of a shape is the amount of space it can occupy, while the perimeter is the sum of its sides.

Given that:

[tex]P = 39[/tex] --- the perimeter of the shape

The value of x

The perimeter is the sum of all sides.

So, we have:

[tex]P = x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5)[/tex]

Substitute 39 for P

[tex]x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5) = 39[/tex]

[tex]2x + 24 = 39[/tex]

Collect like terms

[tex]2x = -24 + 39[/tex]

[tex]2x = 15[/tex]

Divide through by 2

[tex]x = 7.5[/tex]

The area of the shape

The shape can be divided into two rectangles

So, the area of the shape is:

[tex]Area = 9ft \times 3ft + (9 - 3.5 - 3.5)ft \times x ft[/tex]

[tex]Area = 27ft^2 + 2ft \times x ft[/tex]

Substitute [tex]x = 7.5[/tex]

[tex]Area = 27ft^2 + 2ft \times 15 ft[/tex]

[tex]Area = 27ft^2 + 30 ft^2[/tex]

[tex]Area = 57 ft^2[/tex]

Hence, the area of the shape is 57 square feet.

Read more about areas and perimeters at:

https://brainly.com/question/16103242

Rosemarie made a necklace from materials that cost $30. She is going to sell the necklace to Betty at 390% of this cost. About how much should Betty pay for the necklace?
А
$12,000
B
S1,200
C$120
DS12

(2x+4)(x-2)
please help

Simplify 6 4/60 simplyfy

what is the prime factor of 350

Student Council held a bake sale to raise money for the local food pantry. They sold a total of 40 items which included pies and cakes. Pies were $10 each and cakes were $8 each. They raised $356. How many pies and how many cakes did they sell?

**8. At a buffet restaurant, the price for dinner for an adult is $6.95 and the price for dinner for a child is $3.95. A
group of 8 people went to the restaurant for dinner and paid a total of $46.60, excluding tax and tip. How many
adults were in the group?
A.2
B.3
C.4
D.5

I need help asap!!!!!!!!

Find the slope of the line passing through the points (-7,7)and (2,7)

PLSSSSSS HELP ME LAST ATTEMPT AND THIS IS MY LAST QUESTION ILL MAKR BRAINLIEST.
Which set of side lengths form a right triangle?


7 cm, 8 cm, 10 cm

3 ft, 6 ft, 5 ft

14 m, 20 m, 25 m

10 cm, 6 cm, 8 cm

WILL GIVE BRAILIEST PLZZZZ HELP MEEEEEE
A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The test results (expressed as a percent) for the two groups are shown below.

Studied: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84

Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89

Which of the following statements are true?

There is no mode of the group that studied.
In general, those students that studied scored much higher than those students that did not study.
The mean of the group that studied is over 15 percentage points higher than the mean of the group that did not study.
The median of the group that studied is over 95.
The median of the group that did not study is less than 80.

Find the range of the following graph

Worth 10 points!! Help!

Complete the following ratio table so that each pair represents the same rate.
1
5
2
10
3
15
4
20
5
25

Complete the conversion. Enter your answer in the box. 7 c = pt

Find the volume of a sphere that has a diameter of 30 feet. Use 3.14 for pi.

Can someone like help with this pleasee

Solve the equation.

2.5p = 25

A clothing store is having a sale in which everything is 10% off. A shirt’s original price is $27. A customer uses a coupon for $5 off after the sale price. How much did the customer save?

Daniel goes to an amusement park. He spent $31.75 on the admission fee and $9.25 on parking. He also spent $5.50 on snacks at the park.

If a ticket for a ride costs $5.50, what were the maximum number of rides he could take if he had $79.50 in his pocket?

...............................................................................

See picture above and solve surface area

A sweatshirt that was originally priced at $42.50 has been marked down to $34.00.
What is the percent decrease?
80%
25%
15%
20%

what is k + 1 3 = 5 1/8

To
357 is what percent of 420?

Savannah is 9 years older thanDevante. The sum of their ages is 53. How old are Savannah and Devante?
(A) First write an equation you can use to answer this question. Use x as your variable.
The equation is _______
Answer: Devante is _______
and Savannah is ______

The perimeter of a rectangular jewelry store is 244 feet. It is 49 feet wide. How long is it?

2а +3Ь — 5
b = a – 5

Find the value of x in the triangle shown below.
8
2
Answer?

Lauren rides her bike 36 miles in 4 hours. How many feet is Lauren traveling each minute?

please help me will give you brainliest