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3 years ago

4 Helen drew the pattern shown in a

Mathematics

1 answer:

omeli [17]3 years ago

5 0

Answer:

50%

Step-by-step explanation:

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Pentagon TEXAS has vertices at T(1, 8), E(3, 8), X(6, 2), A(3, 2), and S(1, 4). What is the area of Pentagon TEXAS?

Tamiku [17]

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

$T = (1, 8)$

$E =(3, 8)$

$X =(6, 2)$

$A=(3, 2)$

$S = (1, 4)$

The area of the pentagon is then calculated using:

$Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|$

So, we have:

$Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|$

Simplify the expressions in both brackets

$Area = \frac 12|46 -84|$

$Area = \frac 12|-38|$

Remove absolute bracket

$Area = \frac 12 \times 38$

$Area = 19$

Hence, the area of the pentagon is 19 square units

Read more about areas at:

brainly.com/question/1423568

7 0

2 years ago

(05.02)How many triangles can be made if one angle is 95° and another angle is obtuse? 1 2 More than 2 None

Firlakuza [10]

D. None. Say the obtuse angle is 100 degrees. Since the sum of all angles in a triangle cannot be bigger than 180, it's not possible because 195 (100+95) is greater than 180 degrees.

Hope this helps!!!!!!

3 0

3 years ago

Read 2 more answers

Liam is going on a vacation to Australia. His flight leaves at 3:15 P.M. It takes 1 hour and 35 minutes to get to the airport, a

Leni [432]

Answer:

12:40 is the anwser

Step-by-step explanation:

If his flight leaves at 3:15 and it takes and hour and 35 minutes to gett there than you would have to subtract 1 hour and 35 minutes from 3:15 so

3:15 minus 1 hour is 2:15

2:15 minus 35 minutes is 1:40

so now he wants to be and hour and 35 minutes earlier so the anwser would be

2:15 minus 1 hour is 1:15

1:15 minus 35 minutes is 12:40

8 0

2 years ago

What is the slope of the line (2,3) (1,-2)?

jarptica [38.1K]

Answer: The slope is 5

Step-by-step explanation:

You can calculate the slope of the line with this fomula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Given the points (2,3) and (1,-2), you can identify that:

$y_2=-2\\y_1=3\\x_2=1\\x_1=2$

Now, the final step is to substitute these values into the formula $m=\frac{y_2-y_1}{x_2-x_1}$ , getting that the slope of this line is:

$m=\frac{-2-3}{1-2}$

$m=\frac{-5}{-1}\\\\m=5$

8 0

4 years ago

Read 2 more answers

Easy Cooking is a cooking supply company. Last year, the company sold a total of 5,340 ovens. This year, they sold 7,743 ovens.

jenyasd209 [6]

Answer:

45%

Step-by-step explanation:

Given data

Last year, the company sold a total of 5,340 ovens

This year, they sold 7,743 ovens

Percent increase= final-initial/initial*100

substitute

Percent increase= 7,743-5,340/5,340*100

Percent increase= 2403/5,340*100

Percent increase=0.45*100

Percent increase=45%

Hence the increase is 45%

7 0

3 years ago