What is the rate of change please help asap

I need help and it due tomorrow!!! ill give aomethe brainlest answer

DochEvi [55]

Answer:

The measure of the indicated angle is 142°

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon is

∑m = (n - 2) × 180°, where

n is the number of its side or its angles

In the given figure

∵ The polygon has 6 angles

∴ n = 6

→ Use the rule above to find the sum of the measures of its interior ∠s

∵ ∑m = (6 -2) × 180°

∴ ∑m = 4 × 180°

∴ ∑m = 720°

∵ The measures of its interior ∠s are (2x - 50)°, (x + 40), 80°, (x + 20)°,

x°, 150°

→ Add them to find their sum

∴ ∑m = 2x - 50 + x + 40 + 80 + x + 20 + x + 150

→ Add the like terms in the right side

∴ ∑m = (2x + x + x + x) + (-50 + 40 + 80 + 20 + 150)

∴ ∑m = 5x + 240

→ Equate the right sides of ∑m

∵ 5x + 240 = 720

→ Subtract 240 from both sides

∴ 5x + 240 - 240 = 720 - 240

∴ 5x = 480

→ Divide both sides by 5

∴ x = 96

→ To find the indicated angle substitute x in its measure by 96

∵ The measure of the indicated angle = 2(96) - 50

∴ The measure of the indicated angle = 192 - 50

∴ The measure of the indicated angle = 142°

5 0

2 years ago

Anna is selling boxes of chocolate chip cookies (c) for $6 each and boxes of peanut butter cookies (b) for $7 each. She must

Georgia [21]

Answer:

$x+y\geq30$

$6c+7b\geq175$

Step-by-step explanation:

Given : Let c represents the number of boxes of chocolate chip cookies and b represents the boxes for butter cookies.

Anna is selling boxes of chocolate chip cookies (c) for $6 each and boxes of peanut butter cookies (b) for $7 each.

i.e. Cost of 'c' chocolate chip cookies = 6c

Cost of b butter cookies = 7b

She must sell at least 30 boxes of cookies and at least $175 worth of cookies.

i.e. $x+y\geq30$

$6c+7b\geq175$

Thus , the system of inequalities models this situation :

$x+y\geq30$

$6c+7b\geq175$

7 0

3 years ago

42 percent of 120 is what

Sedbober [7]

It's 120*0.42 = 50.4 so 50.4 is the answer

5 0

2 years ago

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Hey can someone tell me what -3x^2(14x^2-2x-8) equals

Ad libitum [116K]

Answer:

-42x^4 + 6x^3 + 24x^2

Step-by-step explanation:

8 0

2 years ago

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The distance between (2, 3) and (1,7) is:

devlian [24]

Answer:

$\sqrt{17}\: units$

Step-by-step explanation:

$d = \sqrt{ {(2 - 1)}^{2} + {(3 - 7)}^{2} } \\ \\ = \sqrt{ {(1)}^{2} + {( - 4)}^{2} } \\ \\ = \sqrt{ 1 + 16 } \\ \\ d= \sqrt{17} \\$

4 0

3 years ago

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