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Ivanshal [37]
3 years ago
9

Use the distributive property to rewrite each expression in it's equivalent form 9a-3/3 ,Just 3 please

Mathematics
1 answer:
pentagon [3]3 years ago
8 0
Hahahah i think i already did this for you buttttt

the denominator can be distributed to both parts of 9a and -3

so you can rewrite it as (9a/3) and (-3/3)

to simplify (9a/3) is equal to 3a and (-3/3) is equal to -1

so the answer is 3a-1
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Select the reason why these triangles are
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Answer:

B. SAS

Step-by-step explanation:

In the given diagram, it would be observed that each side of the bigger triangle are multiplied by a factor of \frac{1}{3} to give the values of each corresponding sides of the smaller triangle. But the included angle of the two triangles are the same.

Therefore, the reason why the triangles are similar is because of side-angle-side (SAS) relations. The correct option is B.

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3 years ago
Two friends board an airliner just before departure time. There are only 11 seats left, 4 of which are aisle seats. How many way
Vadim26 [7]

Using the Fundamental Counting Theorem, it is found that:

The 2 people can arrange themselves in 40 ways.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

With one people in the aisle and one in the normal seats, the parameters are:

n1 = 4, n2 = 7

With both in the aisle, the parameters is:

n1 = 4, n2 = 3

Hence the number of ways is:

N = 4 x 7 + 4 x 3 = 28 + 12 = 40.

More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866

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8 0
2 years ago
A rectangle has side lengths (x+5) meters and (2x - 1) meters. Wite an expression in the simplest form that
Irina-Kira [14]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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Please help me, A candle is in the shape of a frustum (a cone with the top cut off). Calculate the volume of the candle to the n
MariettaO [177]

Answer:

Height = 8 cm

You will need this formula (see attached):

Volume = [PI * 8 * (2² + 2*4 + 4²)]  / 3

Volume = [3.14159265 * 8 * (4 + 8 + 16)] / 3

Volume = 234.57 cubic centimeters

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

Step-by-step explanation:

3 0
2 years ago
The supplement of an angle is 50 less than 3 times its complement, find the measure of the angle
Lelechka [254]

Answer:

20^{\circ}.

Step-by-step explanation:

Two angles are supplements of one another if their sum is 180^{\circ}.

Two angles are complements of one another if their sum is 90^{\circ}.

Let x^{\circ} be the measure of the angle in question.

The supplement of this angle would be (180 - x)^{\circ}.

The complement of this angle would be (90 - x)^{\circ}.

According to the question:

(180 - x) + 50 = 3\, (90 - x).

Solve this equation for x:

x = 20.

Thus, this angle would measure should 20^{\circ}.

The supplement of this angle would measure (180 - 20)^{\circ} = 160^{\circ}. The complement of this angle would measure (90 - 20)^{\circ} = 70^{\circ}.

Three times the complement of this angle would be 3 \times 70^{\circ} = 210^{\circ}, which is indeed 50^{\circ} greater than the supplement of this angle.

8 0
2 years ago
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