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gizmo_the_mogwai [7]

1 year ago

9

The sum of the interior angles of a convex polygon is the same as the sum of its exterior angles. What type of polygon is it?

1 answer:

RideAnS [48]1 year ago

7 0

A parallelogram.

All the angles in a parallelogram must add up to 360° as well as the exterior angles.

Hope that helps!

:D®

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b. Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box.

Ainat [17]

First box = 14 pounds

Second box = 2x = 28 pounds

Third Box = x+2= 16 pounds

Fourth box = x/2 = 7 pounds

<u>Step-by-step explanation:</u>

Here we have , Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box. The third box contained two more pounds than the first box. The last box contained one-fourth the amount in the second box. We need to find How much candy was in each box. Let's find out:

We have a total of 65 pounds of candy ! Let in first box we have x pounds so , second box contained twice the amount of the first box i.e.

⇒ $2x$

The third box contained two more pounds than the first box i.e.

⇒ $x+2$

The last box contained one-fourth the amount in the second box i.e.

⇒ $(\frac{1}{4})2x = \frac{x}{4}$

Therefore , Sum of pounds of candy are :

⇒ $\frac{x}{2} +x+2+2x+x=65$

⇒ $\frac{x}{2} +4x=63$

⇒ $\frac{9x}{2}=63$

⇒ $x=63(\frac{2}{9} )$

⇒ $x=14$

Therefore , Candy in each box is :

First box = 14 pounds

Second box = 2x = 28 pounds

Third Box = x+2= 16 pounds

Fourth box = x/2 = 7 pounds

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Each month a retail store awards a blue ribbon to its employee of the month. The probability that Chloe is the employee of the m

klasskru [66]

Answer:

37%

Step-by-step explanation:

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A law firm charges a client according to the function f(x)=4(x+2) , where x represents the number of hours spent on the client’s

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Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x ---> the number of hours spent on the client’s case each week

f(x) ----> the total charge that week in hundreds of dollars

we have

$f(x)=4(x+2)$

distribute

$f(x)=4x+8$

This is the equation of the line in slope intercept form

where

The slope or unit rate is

$m=4$

The y-intercept or initial value is

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To graph the line we need minimum two points

Find the x-intercept

For f(x)=0

$0=4x+8\\4x=-8\\x=-2$

The x-intercept is the point (-2,0)

so

we have

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To graph the line, plot the intercepts, connect them and join the points

The graph in the attached figure

Remember that the value of x and the value of f(x) cannot be a negative number

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Logan wants to move to a new city. He gathered graphs of temperatures for two different cities. Which statements about the data

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we need the data to answer the question

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The NEC permits 20% of the cross sectional area in a wireway to be occupied by conductors.for an 8"×8"×6' long wireway the condu

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