All categories

2 years ago

What is the sum of the interior angles of the polygon shown below?

Mathematics

1 answer:

Yuki888 [10]2 years ago

4 0

Answer:

540°

Step-by-step explanation:

Just divide the shape into triangles and count the number of triangles. This is what your formula is doing for you. It's telling you how many triangles make up the shape and then multiplying that number by 180 degrees to find the sum of your interior angles.

You might be interested in

Someone please please help me

nlexa [21]

Answer:

Step-by-step explanation:

3 0

2 years ago

Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing ounces. Rob

Blababa [14]

Question:

Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing 7 1/4 ounces. Robin’s basket contains 6 apples, each weighing 6 1/2 ounces. Whose basket is heavier and by how much?

Answer:

Robin’s basket is heavier than Ted’s basket by 2.75 ounces

Step-by-step explanation:

Given:

Ted’s basket contains = 5 apples

Weight of each apple in Ted’s basket = 7 1/4 ounces

Robin’s basket contains = 6 apples

Weight of each apple in Robin’s basket = 6 1/2 ounces

To Find:

Whose basket is heavier and by how much?

Solution:

Step 1: Finding the weight of Ted’s basket

Weight of Ted’s basket = Number of apple in the basket X Weight of each apple

Weight of Ted’s basket = $5 \times 7\frac{1}{4}$

Weight of Ted’s basket = $5 \times \frac{29}{4}$

Weight of Ted’s basket = $\frac{145}{4}$

Weight of Ted’s basket = 36.25 --------------------------------(1)

Step 2: Finding the weight of Robin’s basket

Weight of Robin’s basket = Number of apple in the basket X Weight of each apple

Weight of Robin’s basket = $6 \times 6\frac{1}{2}$

Weight of Robin’s basket = $6 \times \frac{13}{2}$

Weight of Robin’s basket = $\frac{78}{2}$

Weight of Robin’s basket = 39 ounces--------------------------(2)

Comparing equation (1) and (2)

39 - 36.25 = 2.75 ounces

Weight of Robin’s basket > Weight of Ted’s basket

5 0

3 years ago

Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

2 years ago

Ben is taking a typing class, and the following line graph represents the number of words per minute he was able to type each we

Crank

During week 2, he could type 15 words per minute, at his fourth week, he could type 30. So 30-15=15. He could type 15 words faster on week 4 than he could at week 2.

3 0

3 years ago

What do I do in an algebraic equation when x and y are connected (xy)?

tia_tia [17]

Answer: Distributive property

Step-by-step explanation: I do believe in questions like this you would distribute from the perenthisis (right?)

7 0

3 years ago

Read 2 more answers