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3 years ago

I need #2 done ASAP (Must show work) Will give brainliest

Mathematics

2 answers:

Leto [7]3 years ago

8 0

Answer:

Using the Vertical Angle Theorem,

if two angles are vertical, then they are congruent

therefore, ∡4=∡5 and ∡6=∡7

since ∡4≅∡7

then ∡5 must also be ≅ to ∡6

Step-by-step explanation:

Tems11 [23]3 years ago

3 0

Step-by-step explanation:

<u>Statement Reason </u>

∠4 ≅ ∠7 Given

∠4 and ∠5 are vertical angles Vertical angles theorem

∠6 and ∠7 are vertical angles Vertical angles theorem

∠4 ≅ ∠5 and ∠ 6≅ ∠7 Definition of vertical angles

∠5 ≅ ∠6 Substitution property of equality

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zaharov [31]

Answer:

Option D.

$A =96\pi\ cm^2$

Step-by-step explanation:

The area of the circular bases is:

$A_c = 2\pi(a) ^ 2$

Where

$a=4\ cm$ is the radius of the circle

Then

$A = 2\pi(4) ^ 2$

$A = 32\pi\ cm^2$

The area of the rectangle is:

$A_r=b * 2\pi r$

Where

$b=8\ cm$

b is the width of the rectangle and $2\pi r$ is the length

Then the area of the rectangle is:

$A_r=8 * 2\pi (4)$

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$A =96\pi\ cm^2$

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3 years ago

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3 years ago

What is the decimal representation of seven hundredths

irakobra [83]

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3 years ago

Which one of these things from the natural world exhibits perfect symmetry

mariarad [96]

Answer:

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Step-by-step explanation:

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2 years ago

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4C. Quintin is using the three different shaped

Sauron [17]

The smallest number of tiles Quintin will need in order to tile his floor is 20

The given parameters;

number of different shapes of tiles available = 3

number of each shape = 5

area of each square shape tiles, A = 2000 cm²

length of the floor, L = 10 m = 1000 cm

width of the floor, W = 6 m = 600 cm

To find:

the smallest number of tiles Quintin will need in order to tile his floor

Among the three different shapes available, total area of one is calculated as;

$A_{one \ square \ type} = 5 \times 2000 \ cm^2 = 10,000 \ cm^2$

Area of the floor is calculated as;

$A_{floor} = 1000 \ cm \times 600 \ cm = 600,000 \ cm^2$

The maximum number tiles needed (this will be possible if only one shape type is used)

$maximum \ number= \frac{Area \ of \ floor}{total \ area \ of \ one \ shape \ type} \\\\maximum \ number= \frac{600,000 \ cm^2}{10,000 \ cm^2} \\\\maximum \ number= 60$

When all the three different shape types are used we can get the smallest number of tiles needed.

The minimum or smallest number of tiles needed (this will be possible if all the 3 different shapes are used)

$3 \times \ smallest \ number = 60\\\\smallest \ number = \frac{60}{3} \\\\smallest \ number = 20$

Thus, the smallest number of tiles Quintin will need in order to tile his floor is 20

Learn more here: brainly.com/question/13877427

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3 years ago