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2 years ago

What belongs in the box marked with the question mark in the proof below? PLEASE HELP ME !!!!!

Mathematics

2 answers:

Ymorist [56]2 years ago

8 0

Answer:

m∠3 = 90° is derived in (2)

Step-by-step explanation:

In this step, a fact derived in step 2 is substituted.

Advocard [28]2 years ago

4 0

Answer:

Replace m<3 = 90 . Derived from applying statement (2) in statement (4)

Step-by-step explanation:

The exercise is a one by one step proof of complementary angles. As in statement 2 we have proven that m<3 is 90 degrees and in statement 4 that m<1+m<2+m<3 is 180 degrees, we only need to replace statement 2 conclusion into statement 4 conclusion , as there in no reason for any further proof.

In the next reasons we must prove that the other angles measure 90 degrees which will allow us to conclude that both angles are complementary ( sum 90 degrees).

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One pumpkin weighs 7 lb 12 oz. A second pumpkin with 10 pounds 4 ounces. A pumpkin weighs 2 pounds 9 ounces more than the second

Nesterboy [21]

Answer: 30 lbs, 13 oz

This converts to 493 ounces

===============================================================

Explanation:

Pumpkin A weighs 7 lb, 12 oz. Let's convert that to ounces only

1 lb = 16 oz

7 lbs = 112 oz (multiply both sides by 7)

7 lbs, 12 oz = 112 oz + 12 oz .... add 12 oz to both sides

7 lbs, 12 oz = 124 oz

Pumpkin A's weight of 7 lbs, 12 oz is the same as 124 oz

-----------

Do something similar for pumpkin B

1 lb = 16 oz

10 lbs = 160 oz

10 lbs, 4 oz = 160 oz + 4 oz

10 lbs, 4 oz = 164 oz

Pumpkin B weighs 164 oz

-----------

Let's convert the "2 lbs, 9 oz" to ounces only

1 lb = 16 oz

2 lbs = 32 oz

2 lbs, 9 oz = 32 oz + 9 oz

2 lbs, 9 oz = 41 oz

So pumpkin C is 41 ounces heavier compared to pumpkin B

The weight of pumpkin C is 164+41 = 205 ounces

----------

We have these three weights in ounces only

Pumpkin A = 124 oz
Pumpkin B = 164 oz
Pumpkin C = 205 oz

Adding those three ounces only weights leads to

124+164+205 = 493 ounces

The total weight of all three pumpkins is 493 ounces

Now let's convert back to the unit "pounds, ounces"

Divide that result over 16 since there are 16 ounces per pound

493/16 = 30.8125

Ignore the decimal portion. The 30 is the quotient which means 493-30*16 = 13 is the remainder.

In other words,

493/16 = 30 remainder 13

which leads to

493 ounces = 30 pounds, 13 ounces

--------------

As a check,

1 lb = 16 oz

30 lbs = 480 oz

30 lbs, 13 oz = 480 oz + 13 oz

30 lbs, 13 oz = 493 oz

The answer is confirmed.

8 0

2 years ago

Emma recently purchased a new car she decided to keep track of how many gallons of gas they used on five other business trips th

spayn [35]

Emma recently purchased a new car. She k business trips. The results are shown in the table below. decided to keep track of how many gallons of gas she used on five of her 1. Number of Miles Driven Gallons Used 150 200 400 600 1000 10 19 29 51 Write the linear regression equation for these data where miles driven is the independent variable. (Round all values to the nearest hundredth.) 2. The table below shows the number of grams of earbohydrates, x, and the number of Calories, y, of six different foods. Carbohydrates () Calories () 120 138 147 9.5 10 6 108 62 Which equation best represents the line of best fit for this set of data? 1) У-15х У-0.17-04 y-14.1x+5.8 3) 4) 2) у" 0.07x ow shows the median diameter of grains of sand and the slope of the beach for 9 naturally occurring ocean beaches. Median Diameter of 0.17 0.19 0.22 0.235 0.235 0.3 0.3 0.35 0.42 0.85 Grains of Sand in Millimeters (3) Slope of Beach 0.63 in Degrees (y) 0.7 0.82088 1 1.15 1.54.4 7.3 11.3 Write the linear regression equation for this set of data, ro at a degree, on a Using this equation, predict the slope of a beach, to the nearest tenth of a degree median diameter of 0.65 mm. on a beach with grains of sand having a

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2 years ago

Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy

Umnica [9.8K]

Answer:

Step-by-step explanation:

Let L = Lucy, C = Carol and A = Arita , x = Total amount of marbles

Lucy shares 1/3 with Carol and keeps 1/4 for herself.

This means that Carol has 1/3 of the total amount of marbles, Lucy has 1/4 of the total amount of marbles.

C = 1/3x

L = 1/4x

We are also told that Carol has 7 more marbles than Lucy

C = L + 7

Since C = 1/3x and L = 1/4x you can sub these into the above equation and you get:

1/3x = 1/4x + 7

Subtract 1/4x from both sides

1/3x - 1/4x = 7

1/12x = 7

Multiply both sides by 12 to find x.

x = 7 times 12 = 84 (Total amount of marbles = 84)

Amrita gets the remaining number of marbles.

A = x - C - L

A = 84 - 1/3 (84) - 1/4 (84)

A = 35

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3 years ago

Which national legislature has themost members?

AfilCa [17]

China has the most members.

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2 years ago

Drag the numbers shown to their<br> approximate locations on the<br> number line

pychu [463]

Answer:

Step-by-step explanation:

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2 years ago