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3 years ago

Use the Geometric Mean Theorem and your knowledge of proportions to find the value of x.

Mathematics

1 answer:

xenn [34]3 years ago

7 0

Answer:

$x=9.6cm$

Step-by-step explanation:

$x=\frac{2Area}{20}\\\\Area = \frac{16 * 12}{2} = 96 cm^{2}\\ \\x = \frac{2 * 96}{20} = \frac{192}{20} = \frac{48}{5} = 9.6 cm$

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A small explanation would be really appreciated

shutvik [7]

Step-by-step explanation:

the 2 angles marked with orange and green are equal becos the question said that the indicated angles are congruent meaning same deg. so 180 - that given angle = the 2 marked angles (based on the rule known as angles on a str line are supplementary)

since the 2 marked angles are same, you can say that d and k are parallel due to the rule of alternate angles

Topic: angle properties

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7 0

3 years ago

fiona draws a 24 centimeter rectangle.gregory draws a 24 square inch rectangle.whose rectangle is in area .how do you know

Valentin [98]

Answer:

Therefore we come to a conclusion that,

Gregory's Rectangle is in Area.

Step-by-step explanation:

Given:

Fiona draws a 24 centimeter rectangle.

Gregory draws a 24 square inch rectangle.

To Find:

Whose rectangle is in area = ?

Solution:

Rectangle has a dimension as

Length and Width which are in meters, centimeters, inches, feet, units, etc.

For Area

$Area\ of\ Rectangle=Length\times Width$

here units are getting Multiplied so it becomes

unit × unit = unit² = square units

m × m = m² =square meter

inch × inch = inch² =square inches

Hence Area is calculated in square units.

Therefore we come to a conclusion that,

Gregory's Rectangle is in Area.

6 0

3 years ago

What is the solution of the system.. explain what it means in the solution

UNO [17]

Answer:

The solution is (4,250)

Step-by-step explanation:

This means that when a member of either gym (A or B) signs up for a four-month membership, they pay the same amount - $250. Hope this helps :)

5 0

3 years ago

Stacy rolls a pair of six-sided fair dice.

Nutka1998 [239]

Answer:

The probability that the sum of the numbers rolled is either a multiple of 3 or an even number is 24/36 = 2/3

The two events are mutually exclusive

Step-by-step explanation:

we first need to create a table of the sample space from the experiment, the sum of the numbers rolled. Find the attached for a depiction of the possible outcomes.

The probability that the sum of the numbers rolled is either a multiple of 3 or an even number will be given by counting the numbers that are either even or multiples of 3 and then dividing by the number of possible outcomes, 36.

In our case this will be;

24/36 = 2/3