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1 year ago

Find the area of the polygon.

Mathematics

1 answer:

AlexFokin [52]1 year ago

5 0

Answer:

66 cm²

Step-by-step explanation:

As you know from the area formulas, the area of a triangle is equivalent to half the area of a rectangle with the same base and height. Another way to say that is the area of a triangle is equivalent to the area of a rectangle with the same base and half the height.

The triangle added to the side of the square is equivalent in area to a rectangle with the same 6 cm base (vertical dimension), and half the 10 cm height (horizontal dimension). That is, the total area of the polygon is the same as the area of one that is 6 cm high and 6+5 = 11 cm wide.

A = LW = (6 cm)(11 cm) = 66 square centimeters

If you want to figure the area more conventionally, it is the sum of the area of a 6 cm square and a 6×10 cm triangle:

6² +1/2(6)(10) = 36 +30 = 66 . . . square centimeters

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Please help :) is it linear, if so model the data with and equation.

Yuki888 [10]

Answer:

The relationship is linear: y -5 = 2 (x+7)

Step-by-step explanation:

While the difference between -7 and -5 / -5 and -3 / -3 and -1 is always 2 teh difference between 5 and 9 / 9 and 13 / 13 and 17 is always 4.

y-5 = -1/2 (x +7)

for x= -7 and y = 5 this is true

for x=-5 and y = 9 this is not true

y + 7 = 1/2 (x-5)

for x= -7 and y = 5 this is not true

y -5 = 2 (x+7)

for x= -7 and y = 5 this is true

for x = -5 and y = 9 this is true

for x = -3 and y = 13 this is true

for x = -1 and y = 17 this is true

8 0

2 years ago

Tia, Veronica, Pam, and Lily are sisters. Tia is 8 years old and she is 2 years older than Pam. Pam is 5 years younger than Vero

JulijaS [17]

Answer:

Pam 6

Tia 8

Veronica 11

Lily 15

Step-by-step explanation:

Tia's age = 8

Pam's age = Tia's age - 2

8 - 2 = 6

Veronica = pam's age + 5

6 + 5 = 11

Lily's age = veronica's age + 4

11 + 4 = 15

3 0

2 years ago

Use the substitution method to solve the system of equations. Choose the

sertanlavr [38]

The answer is C because if you substitute in X-6 for the y in the first equation (since X-6 is also equal to y), you get 2x=16 which means x=8. There is only one option where 8 is equal to X, but just to check you can substitute it back into either of the original equations to make sure that y=2.

4 0

2 years ago

HURRYY!!! Identify the zeros of f(x) = (x − 3)(x + 9)(4x − 3).

tiny-mole [99]

Answer:

The value of x is -9, 3/4 and 3.

Step-by-step explanation:

In order to find the value of x, tou have to let f(x) equals to 0 :

Let f(x) = 0,

(x-3)(x+9)(4x-3) = 0

x - 3 = 0

x = 3

x + 9 = 0

x = -9

4x - 3 = 0

4x = 3

x = 3/4

7 0

2 years ago

What is are the solutions to | x+4 |= 3x-5?

bonufazy [111]

Answer:

x = $\frac{9}{2}$

Step-by-step explanation:

The absolute value always returns a positive value but the expression inside can be positive or negative, that is

x + 4 = 3x - 5 ( subtract 3x from both sides )

- 2x + 4 = - 5 (subtract 4 from both sides )

- 2x = - 9 ( divide both sides by - 2 )

x = $\frac{9}{2}$

-(x + 4) = 3x - 5

- x - 4 = 3x - 5 ( subtract 3x from both sides )

- 4x - 4 = - 5 ( add 4 to both sides )

- 4x = - 1 ( divide both sides by - 4 )

x = $\frac{1}{4}$

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions

| $\frac{9}{2}$ + 4 | = | $\frac{17}{2}$ | = $\frac{17}{2}$

right side = $\frac{27}{2}$ - 5 = $\frac{17}{2}$

left side = right side , thus x = $\frac{9}{2}$ is a solution

check second solution

| $\frac{1}{4}$ + 4 | = | $\frac{17}{4}$ | = $\frac{17}{4}$

right side = $\frac{3}{4}$ - 5 = - $\frac{17}{4}$

right side ≠ left sides, hence not a solution

7 0

3 years ago