Draw a number line -5 through 5 and mark 2x<6

Points J and K are midpoints of the sides of triangle FGH. What is the value of y?

sashaice [31]

The answer

the complement of the question is

What is the value of y?

2
5
7
<span>8
</span>
According to the image, HKJ and FGH are similar, we can apply the theorem of thales
since GK and GF are parallels, so

HK / HF = HJ / HG = KJ / GF and as we see on the figure, HK = HF /2, this implies 2HK =HF

HK / 2HK = KJ / GF it is equivalent to 1/2 = 2y+5 / 5y +3

likewise, equivalent to 5y +3 = 4y +10, 5y-4y = 10-3, and y = 7

so the answer is 7

7 0

3 years ago

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The Sahara Desert has an area of approximately 9,400,400 km2. While estimates of its average depth vary, they center around 150

horrorfan [7]

It would take 65433661 years to re-create the Sahara Desert

<h3>How many years would it take to re-create the Sahara Desert?</h3>

The given parameters are:

Surface area = 9,400,400 km^2

Depth = 150 m

This means that the volume is

Volume = Surface area * Depth

So, we have

Volume = 9,400,400 km^2 * 150 m

Express as meter square

Volume = 9,400,400 * 1000000 m^2 * 150 m

Evaluate the product

Volume = 9,400,400 * 150,000,000 m^3

A small dump holds 20.5 m^3 for 30 seconds.

So, the duration is:

Time = (9,400,400 * 150,000,000 m^3)/(20.5 m^3 per 30 seconds)

Evaluate the product and quotient

Time = 2.0635024e+15 seconds

1 second = 3.171e-8 year.

So, we have:

Time = 2.0635024e+15 * 3.171e-8 year

Evaluate the product

Time = 65433661.104 years

Approximate

Time = 65433661 years

Hence, it would take 65433661 years to re-create the Sahara Desert

Read more about rates at:

brainly.com/question/19493296

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4 0

1 year ago

Which is the next step in the following construction of an equilateral triangle

Ira Lisetskai [31]

Answer: its the next portion of 123

Step-by-step explanation:

because my teacher told me

5 0

2 years ago

What is the effect on the graph of the function f(x) = x^2 when f(x) is changed to f(x − 6)

olya-2409 [2.1K]

Answer:

The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing $f(x) = x^2$ and $\:f\left(x\right)=\left(x-6\right)^2$ is represented as being shifted 6 units to the right as compare to the function $f(x) = x^2$ .

Step-by-step explanation:

When we Add or subtract a positive constant, let say c, to input x, it would be a horizontal shift.

For example:

Type of change Effect on y = f(x)

$y = f(x - c)$ horizontal shift: c units to right

So

Considering the function

$f(x) = x^2$

The graph is shown below. The first figure is representing $f(x) = x^2$ .

Now, considering the function

$\:f\left(x\right)=\left(x-6\right)^2$

According to the rule, as we have discussed above, as a positive constant 6 is added to the input, so there is a horizontal shift, 6 units to the right.

The graph of $\:f\left(x-6\right)=\left(x-6\right)^2$ is shown below in second figure. It is clear that the graph of $\:f\left(x-6\right)=\left(x-6\right)^2$ is shifted 6 units to the right as compare to the function $f(x) = x^2$ .

The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing $f(x) = x^2$ and $\:f\left(x\right)=\left(x-6\right)^2$ is represented as being shifted 6 units to the right as compare to the function $f(x) = x^2$ .

5 0

2 years ago

What are the slope and y-intercept -3x-8y=10

choli [55]

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

5 0

3 years ago

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