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sertanlavr [38]
3 years ago
11

In a square in which the houses are evenly spaced around the outside, numbers 3 and 10 are opposite each other. What is the smal

lest number of houses in the square? What is the largest possible number of houses in the square?

Mathematics
1 answer:
denis23 [38]3 years ago
7 0

Answer:

See below

Step-by-step explanation:

<em>Refer to attached</em>

It is assumed that houses occupy square land

  • The minimum number houses outside of the square 3*4 = 12
  • Maximum number is 7*4 = 28

Here we assumed the order of numbering by opposite two sides only

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Brrunno [24]
First, you must distribute 2(3x-1).
To do that, you will multiply 2•3x, and 2•-1 because you are taking the number outside of the parentheses and multiplying (distributing) it to all the numbers inside

After distributing, the left side of your inequality will be 6x-2

Now you have
6x - 2 \geqslant 4x - 6

To find the value of x, you must subtract an x value from both sides of the equation, as well as a constant from each side.

so you have
6x - 2 \geqslant 4x - 6 \\ - 6x \geqslant + 6
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5 0
3 years ago
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Helga [31]

The measure of angle J is 19.8°, and the correct option is D.

<h3>What is the formula of cosine?</h3>

The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.

The following formula is used to find the angle j is;

\rm j^2 = h^2 + i^2 -2hicosC

Triangle HIJ has side lengths h=12, i = 17, j = 7.

Substitute all the values in the formula;

\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8

Hence,  the measure of angle J is 19.8°, and the correct option is D.

Learn more about law cosine here;

brainly.com/question/17289163

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3 0
2 years ago
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amid [387]

Answer:

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3x/y=x/2y

Since 2y is 2X greater than y, 6x is 2X greater than 3x.

So,

The answer is 6x.

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3 years ago
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tamaranim1 [39]

Answer:

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The tangent is perpendicular to the radius. The given triangle is right if AB is tangent.

Use Pythagorean to verify

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