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2 years ago

Complete the proof, word bank at the bottom HELP PLEASE LOL

Mathematics

1 answer:

Katarina [22]2 years ago

5 0

Answer:

Step-by-step explanation:

3) Definition of supplementary angles

4) Consecutive interior angles converse

5) Alternate interior angles

6) AA similarity

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A lay came to the market to sell eggs . We first customer bought 1/2 of all her eggs and 1/2 of an egg. Her second customer boug

Bezzdna [24]

Given:

First customer bought 1/2 of all eggs of lady seller and 1/2 of an egg.

Her second customer bought 1/2 of all the remaining eggs and 1/2 of an egg.

At this point she had sold all her eggs.

To find:

The number of egg the lady have when she came to the market.

Solution:

Let x be the number of egg that the lady have when she came to the market.

First customer bought 1/2 of all eggs of lady seller and 1/2 of an egg. So, the number of remaining eggs after first customer is

$x-\dfrac{1}{2}x-\dfrac{1}{2}=\dfrac{x}{2}-\dfrac{1}{2}$

Her second customer bought 1/2 of all the remaining eggs and 1/2 of an egg. So, the number of remining egg after second customer is

$\text{Remaining eggs}=\dfrac{x}{2}-\dfrac{1}{2}-(\dfrac{x}{2}-\dfrac{1}{2})\times \dfrac{1}{2}-\dfrac{1}{2}$

$=\dfrac{x}{2}-\dfrac{1}{2}-\dfrac{x}{4}+\dfrac{1}{4}-\dfrac{1}{2}$

$=(\dfrac{x}{2}-\dfrac{x}{4})+(-\dfrac{1}{2}+\dfrac{1}{4}-\dfrac{1}{2})$

$=(\dfrac{2x-x}{4})+(\dfrac{-2+1-2}{4})$

$=\dfrac{x}{4}-\dfrac{3}{4}$

At this point she had sold all her eggs. It means the remining eggs is 0.

$\dfrac{x}{4}-\dfrac{3}{4}=0$

$\dfrac{x}{4}=\dfrac{3}{4}$

Multiply both sides by 4.

$x=3$

Therefore, the lady came to the market is with 3 eggs.

8 0

3 years ago

Susan has a balance of $5,125 on her credit card. If the card has an annual rate of 18.75% how much is the finance charge for th

bogdanovich [222]

The answer is $80.08

you divide 18.75 by 12 and get 1.5625
then you do 1.5625% x 5,125 = 80.08

8 0

3 years ago

A. What do you notice about each exterior angle measurement when you arrange the triangles so that the three angles form a strai

AysviL [449]

The sum of angles inside a triangle is the sum of angles 1, 2 and 3, which form a straight line, therefore 180 degrees.

The sum of the exterior angles
angle exterior angle
1 2+3
2 1+3
3 1+2
total 2+3+1+3+1+2=2(1+2+3)=2(180)=360 degrees.

6 0

4 years ago

Read 2 more answers

Find the perimeter of the figure below. Notice that one side length is not given.

olganol [36]

Answer:

48 cm

Step-by-step explanation:

The perimeter of the figure is the sum of the lengths of its sides.

Find the length of the unknown side

Let the unknown length be x cm.

Notice that the sum of the lengths of the unknown side and the side measuring 5 cm I equal to the length of the side measuring 9 cm.

x +5= 9

<em>Subtracting 5 from both sides:</em>

x= 9 -5

x= 4

Add up the lengths of all of the sides to find the perimeter. I will add the lengths starting from the side measuring x cm (or 4 cm), and sum them up in a clockwise manner. This ensures that none of the sides are overlooked.

Perimeter of the figure

= 4 +15 +9 +7 +5 +8

= 48 cm

Additional:

For more about perimeter of figures, do check out the following!

brainly.com/question/11957651

6 0

2 years ago

Suppose that an individual has a body fat percentage of 15.9% in weighs 168 pounds how many pounds of his weight is made up of f

Over [174]

Answer:

26.7pounds

Step-by-step explanation:

Suppose that an individual has a body fat percentage of 15.9% in weighs 168 pounds

This is calculated as:

Pounds of his weight that is made up of fat is calculated as

Body fat percentage × Body weight in pounds

= 15.9% × 168 pounds

= 15.9/100 = 168 pounds

= 26.712 pounds

Approximately to the nearest tenth = 26.7 pounds

4 0

3 years ago