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3 years ago

Two congruent squares are shown in figures 1 and 2 below.

1 answer:

4 0

The combined area of the shaded triangles in Figure 1 is equal to the combined area of the shaded triangles in Figure 2. The area of the unshaded square in Figure 1 can be represented by . The combined area of the two unshaded squares in Figure 2 can be represented by . The areas of the squares in Figure 1 and Figure 2 show that .
Given :
Figure 1 and figure 2 are given.
The combined area of the shaded triangles in Figure 1 is equal to the combined area of the shaded triangles in Figure 2.
The area of the unshaded square in Figure 1 can be represented by .
The combined area of the two unshaded squares in Figure 2 can be represented by .
The areas of the squares in Figure 1 and Figure 2 show that .

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Find the values of k and b if it is known that the graph of y=kx b goes through points (2, 10) and (−7, −10).

andreev551 [17]

The values of k and b of this graph that passes through the given points is $k = \frac{20}{9}$ and $b = \frac{-50}{9}$

<u>Given the following points:</u>

Points on the x-axis = (2, -7)

Points on the y-axis = (10, -10)

$y = kx + b$ .....equation 1.

To find the values of k and b since the graph passes through the given points:

First of all, we would determine the slope of the graph passing through the given points.

$Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}$

Substituting the points into the formula, we have;

$Slope. \;m = \frac{-10 - 10}{-7 - 2}\\\\Slope. \;m = \frac{-20}{-9}\\\\Slope. \;m = \frac{20}{9}$

The standard form of an equation of line is given by the formula;

$y = mx + b$ ....equation 2

<u>Where:</u>

x and y are the points.

m is the slope.

b is the intercept.

Next, we would determine the intercept of the graph:

$10 = \frac{20}{9}(2) + b\\\\10 = \frac{40}{9} + b\\\\b = \frac{40}{9} - 10\\\\b = \frac{40\; - \;90}{9}\\\\b = \frac{-50}{9}$

The standard form of this equation of line is:

$y = \frac{20}{9}x - \frac{50}{9}$ .....equation 3.

Comparing eqn 1 and eqn 3, we can deduce:

$k = \frac{20}{9}$ and $b = \frac{-50}{9}$

Therefore, the values of k and b of this graph that passes through the given points is $k = \frac{20}{9}$ and $b = \frac{-50}{9}$

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3 years ago

Suppose you start to eat some potato chips from an open bag that you found in your locker and noticed that the chips taste and s

barxatty [35]

rancidity . reason : bcz it is the aerial oxidation of oil and fats present in the chips .

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3 years ago

Pretend you are hired by a new business. How would you demonstrate that you are an effective co-worker?

In-s [12.5K]

Answer: You can demonstrate that you are an effective coworker by showing up to work early, doing your job, and being respectful and compassionate toward your peers.

Explanation: If you have all these qualities while having a job then you will be a good candidate for the job.

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4 years ago

Read 2 more answers

What conclusion can be determined from this map? the spread of communism into eastern europe set the stage for the korean war. t

Harrizon [31]

A conclusion which can be determined from this map is that: B. the spread of communism into eastern Asia set the stage for the Korean War.

<h3>What is communism?</h3>

Communism is a series of philosophical, political, social organization and economical ideologies that advocates for the complete elimination of private ownership of properties, while supporting a profit-based economy with public ownership of the means of production in a country.

Based on the map in the image attached below, we can infer and logically conclude that the spread of communism into eastern Asia was responsible for the Korean War between North Korea and South Korea.

Read more on Korean War here: brainly.com/question/12446159

#SPJ1

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2 years ago

3. The House of Representatives shall be composed of

kramer

Answer:

Explanation:

4 0

3 years ago