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Bess [88]
3 years ago
5

An equilateral triangle has perimeter P. The length of one side is P/3. Which expression is equivalent to the length on one side

Mathematics
1 answer:
irina1246 [14]3 years ago
3 0

Answer: 3\times \dfrac{P}{3}=P

Step-by-step explanation:

Given

The perimeter of one equilateral triangle is P

The lengths of the equilateral triangle are equal

Suppose x is the length of each side

\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}

i.e.

\Rightarrow 3\times \dfrac{P}{3}=P

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Please, Help.<br>the answer isn't 30°
vagabundo [1.1K]

The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A)

<h3>How to find a missing angle by triangle properties</h3>

Triangles are <em>geometrical</em> figures formed by three sides and whose sum of <em>internal</em> angles equals 180°. There are two kind of triangles existing in this question: (i) <em>Right</em> triangles, (ii) <em>Isosceles</em> triangles.

<em>Right</em> triangles are triangles which one of its angles equals 90° and <em>isosceles</em> triangles are triangles which two of its sides have <em>equal</em> measures.

According to the statement, we know that triangle BQR is an <em>isosceles</em> triangle, whereas triangles ABC, ANB and NBC are <em>right</em> triangles. Based on the figure attached below, we have the following system of <em>linear</em> equations based on <em>right</em> triangles ABC and NBC:

<em>2 · x + 90 + θ = 180</em>   (1)

<em>(90 - x) + 90 + θ = 180</em>   (2)

By equalizing (1) and (2) we solve the system for <em>x</em>:

<em>2 · x = 90 - x</em>

<em>3 · x = 90</em>

<em>x = 30</em>

And by (1) we solve the system for <em>θ</em>:

<em>θ = 180 - 2 · x - 90</em>

<em>θ = 30</em>

<em />

The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A) \blacksquare

To learn more on right triangles, we kindly invite to check this verified question: brainly.com/question/6322314

8 0
2 years ago
What is the best estimate for the product of 289 and 7
Alja [10]
The best estimate would be 2,000 but, the original answer is 2,023
7 0
3 years ago
What are equilateral triangles?
Andrej [43]

Answer:

They are triangle that have equal side and angle measurements.

Step-by-step explanation:

6 0
1 year ago
Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.
kherson [118]

Answer:

=\frac{364\pi}{3} cubic units

Step-by-step explanation:

We are to find the  volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.

f(x)=2x+1, y=0, x=0, x=4.

The picture is given as shaded region.

This is rotated about x axis

Limits for x are already given as 0 and 4

f(x) is a straight line

The solid formed would be a cone

Volume = \pi \int\limits^a_b {(2x+1)^2} \, dx \\= \pi \int\limits^4_0 {(4x^2+4x+1)} \, dx \\=\pi [\frac{4x^3}{3} +2x^2+x]^5_0\\\\=\pi[\frac{4*4^3}{3}+2*4^2+4-0]\\=\frac{364\pi}{3}

7 0
2 years ago
Start with the value of 25, double it, and then calculate the percent increase.
Zanzabum

Answer: 100%

Step-by-step explanation:

If you start with 25 and double it you will get 50   and 25 is half of 50  so the percent increase will be 100%.  

7 0
2 years ago
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