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Pie
3 years ago
11

The length of a side of a triangle is 26 in. A line, parallel to the given side ,divides the triangle into 2 parts of equal area

s. Find the length of the segment cut from the line by the two other sides of the triangle
Mathematics
1 answer:
lubasha [3.4K]3 years ago
6 0

Answer:

13√2

Step-by-step explanation:

The areas of the larger triangle, and the smaller triangle (formed when the larger triangle was cut by the parallel line) are similar. Therefore we can compare their areas:

Area1/Area2 =  (Length1)^2/(Length2)^2,

x/2x = (Length1)^2/(26)^2,

1/2 = (Length1)^2/676,

(Length1)^2 = 676/2 = 338

Length1 = √1352 = 13√2

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A lovebird is about 6 inches long.
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8x - 4<br> 160°<br> Help me please seems like no one is answering me lol
Vlad1618 [11]
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8x - 4 = 160

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x = 156 / 8

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3 years ago
Read 2 more answers
6. m A = 8x - 2, m B = 2x - 8, and m2 C = 94 - 4x. List the sides of A ABC in order from shortest to
Oduvanchick [21]

Given:

In triangle ABC, m∠A=(8x-2)°, m∠B=(2x-8)° and m∠C=(94-4x)°.

To find:

The sides of the triangle ABC in order from shortest to  longest.

Solution:

In triangle ABC,

m\angle A+m\angle B+m\angle C=180^\circ              (Angle sum property)

(8x-2)^\circ+(2x-8)^\circ+(94-4x)^\circ=180^\circ

(6x+84)^\circ=180^\circ

6x+84=180

6x=180-84

6x=96

Divide both sides by 6.

x=\dfrac{96}{6}

x=16

Now,

m\angle A=(8(16)-2)^\circ

m\angle A=(128-2)^\circ

m\angle A=126^\circ

Similarly,

m\angle B=(2(16)-8)^\circ

m\angle B=(32-8)^\circ

m\angle B=24^\circ

And,

m\angle C=(94-4(16))^\circ

m\angle C=(94-64)^\circ

m\angle C=30^\circ

In a triangle the smaller angle has shorter opposite side and larger angle has longer opposite side.

24^\circ

m\angle B

AC

List the sides of triangle ABC in order from shortest to  longest is AC:AB:BC.

Therefore, the correct option is A.

6 0
3 years ago
From the information in the graph, what is the mode for the number of books the boys read?
Natalija [7]

Using the graph and the mode concept, it is found that the mode for the number of books the boys read is given by:

  • A. 3

<h3>What is the mode?</h3>
  • The <em>mode </em>of a data-set is the <u>number that appears the most times</u> in it.

In this problem, the data-set is composed by the number of books read by boys each day, and is {7, 2, 3, 5, 3}.

  • The number 3 appears twice on the data-set, which is more times than the other numbers, hence, it is the mode of the data-set, and option A is correct.

You can learn more about the mode concept at brainly.com/question/24732674

4 0
2 years ago
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