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Nostrana [21]
4 years ago
15

In an equilateral triangle, all three side lengths are equal. Suppose you know that the perimeter of equilateral triangle ABC is

(18x − 9) meters. Determine which of the given side lengths, if any, represent the side lengths of equilateral triangle ABC. Explain why or why not. (a) (6x − 3) meters (b) (x − 3) meters (c) 3(2x − 1) meter
Mathematics
2 answers:
mote1985 [20]4 years ago
7 0
All sides are equal legnth
3 sides so

if one side is legnth, y
the perimiter is 3y
3y=18x-9
divide both sides by 3
y=6x-3

A is answer
Aleksandr [31]4 years ago
3 0
It's A because the 18x/3 = 6x, and A is the only option with 6x present
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Jackson had $53 in his account. He bought a video game. He now has -$12 in his
balandron [24]

Answer:

$65

Step-by-step explanation:

Add 53 and 12 together to see how much it costed.

4 0
3 years ago
Find the 66th term of the arithmetic sequence -10, 7, 24, ...−10,7,24,...
Tcecarenko [31]

Answer:

a(66) = -10 + 17(65) = 1095

Step-by-step explanation:

We know that this is an arithmetic sequence.  Subtracting -10 from 7 results in 17; subtracting 7 from 24 also results in 17.  Thus, the common difference, d, is 17.  The first term is -10.

The general form of an arithmetic sequence is a(n) = a(1) + d(n - 1).

Substituting -10 for a(1) and 17 for d, we get:

a(n) = -10 + 17(n - 1)

Now let n = 66:  a(66) = -10 + 17(66 - 1), or    a(66) = -10 + 17(65) = 1095

7 0
3 years ago
Write a SIMPLIFIED expression that accurately represents: The sum of 5 times x, 14 and the product of 8 and x.
Alexus [3.1K]

Answer:

13x + 14

Step-by-step explanation:

Sum means add, so it'd be 5x + 14 + 8x.

Next, you'd have to add 5x + 8x which is 13x

The ending result would be 13x + 14

Hope this helps!!

<em>stay safe :))))</em>

6 0
4 years ago
Julie spends 3/4 hour studying on Monday and 1/6 hour studying on Tuesday. How many hours does Julie study on the two days? (A 1
alex41 [277]
Equation: 3/4 + 1/6

3/4 = 18/24
1/6 = 4/24

18/24 + 4/24 = 22/24
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Hope this helps!
3 0
4 years ago
What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter
n200080 [17]

Question:

What is the area of the sector? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal rounded to the nearest hundredth.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the values of radius and central angle are not given.

However, I'll answer the question using the attached figure.

From the attached figure, the radius is 3 unit and the central angle is 120 degrees

The area of a sector is calculated as thus;

Area = \frac{\alpha }{360} * \pi r^2

Where \alpha represents the central angle and r represents the radius

By substituting \alpha = 120 and r = 3

Area = \frac{\alpha }{360} * \pi r^2 becomes

Area = \frac{120}{360} * \pi * 3^2

Area = \frac{1}{3} * \pi * 9

Area = \pi * 3

Area = 3\pi square units

Solving further to leave answer as a decimal; we have to substitute 3.14 for \pi

So, Area = 3\pi becomes

Area = 3 * 3.14

Area = 9.42 square units

Hence, the area of the sector in the attached figure is 3\pi or 9.42 square units

8 0
3 years ago
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