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Alexus [3.1K]
3 years ago
14

Can someone help me with this question (Geometry) can you also explain!

Mathematics
1 answer:
galina1969 [7]3 years ago
7 0

Answer: x = 56

It’s a supplementary angle

Step-by-step explanation:

It’s a supplementary angle if their measures add to 180 degrees

is the equation

2x + 68 = 180 degrees

2x = 180 -68

2x = 112

x = 112/2

x = 56

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Describe how y = f(x) is transformed by each of the
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Using translation concepts, it is found that the transformations are as follows:

  • In y = -f(x÷2) - 5, the function is reflected over the x-axis, horizontally stretched by a factor of 2 and shifted 5 units down.
  • In y = f(-x) + 5, the function is reflected over the y-axis and shifted 5 units up.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In y = -f(x÷2)-5, we have that:

  • f(x) is multiplied by -1, hence it was reflected over the x-axis.
  • x is divided by two inside the domain, hence the function was horizontally stretched by a factor of 2.
  • 5 is subtracted from f(x), hence the function was shifted 5 units down.

In y = f(-x) + 5, we have that:

  • x is multiplied by -1 inside the domain, hence the function was reflected over the y-axis.
  • 5 is added to f(x), hence the function was shifted 5 units up.

More can be learned about translation concepts at brainly.com/question/4521517

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8 0
2 years ago
11/30 as a decimal can you show an image
timofeeve [1]
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4 0
3 years ago
Read 2 more answers
Which equation represents a line that is perpendicular to the line passing through (-4,7) and (1,3)?
diamong [38]

The equation perpendicular to the line passing through the points (-4,7) and (1,3) isy=\frac{5}{4}x-2

<h3>Equation perpendicular to a line</h3>

The slope of the given line is calculated as:

m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-7}{1-(-4)} \\\\m=\frac{-4}{5}

The equation perpendicular to the given line will be of the form

y-y_1=\frac{-1}{m} (x-x_1)

Substitute x_1=-4, y_1=7, and m=\frac{-4}{5}

y-7=\frac{5}{4}(x+4)\\\\ y=\frac{5}{4}x+5-7\\\\ y=\frac{5}{4}x-2

Therefore, the equation perpendicular to the line passing through the points (-4,7) and (1,3) is y=\frac{5}{4}x-2

Learn more on perpendicular equations here: brainly.com/question/1441594

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6 0
2 years ago
Suppose that you invest $6000 into a high yield savings account that earns 2% annual interest and is compounded monthly. If you
Dmitry_Shevchenko [17]

Answer:


Step-by-step explanation:

FV   =   P (1  +  r / n)Yn

n=12

Y=20

P =6000


7 0
3 years ago
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