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RoseWind [281]
3 years ago
10

In the diagram, line x is parallel to line y,m21= 65°, and m27 = 55°. Stuart says that m212 = 60°. His reasoning is shown. Step

1: mZ8 = 60°, because m21+ m27 +m28 = 180º. Step 2:28 212, because 28 and 212 are corresponding angles. Step 3: So, mZ12 = 60° Use the drop-down menus to explain whether or not Stuart is correct.​

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
6 0

Answer:

Step-by-step explanation:

Artist 52 [7]3 years ago
5 0

the second one I try so I hope that helps

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Decrease the number 14.4 by 0.2 of it.
adell [148]

The result of the decrease of the number 14.4 by 0.2 of it is of 14.2.

<h3>What does it mean to decrease a number a by b of it?</h3>

The equivalent operation is the subtraction of a by b.

In this problem, we want to decrease the number 14.4 by 0.2 of it, hence the operation is:

14.4 - 0.2 = 14.2.

More can be learned about subtraction operations at brainly.com/question/4721701

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2 years ago
It take Zoe 12.5 minutes to swim 20 laps around the pool what is Zoe's unit rate
allochka39001 [22]
1.6 min. per lap
All you have to do is divide 20 by 12.5
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3 years ago
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How do you write “twice a number less than 3 is 17” as an equation?
ki77a [65]

Answer:

2 x 3 < 17

Step-by-step explanation:

Greater than and/or less than step by step equasion.

4 0
2 years ago
2. The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m3.
Dmitrij [34]
Larger PyramidHeight 24 Volume 648

Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27

Slant Height^2 = 4.5^2 + 24^2Slant Height^2 = <span> <span> 596.25 </span> </span> <span><span>Slant Height^2 = 24.4182308941 </span> </span>
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area = <span> <span> 520.5281560938 </span> </span> <span>Large Pyramid LATERAL Area =<span> 439.5281560938 </span> </span>


**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters

d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity.  The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27

Source : http://www.1728.org/volpyrmd.htm

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3 years ago
The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of da
Taya2010 [7]

Answer:

a

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a

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