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Kisachek [45]
2 years ago
13

Which step will get you closest to the solution of this equation 5×(x-2)=7

Mathematics
1 answer:
scZoUnD [109]2 years ago
8 0

Answer:

Division property get you to the quick solution

Solution: 3.4

Step-by-step explanation:

5*(x - 2) = 7

Dividing both sides by 5

5*(x -2)÷5 = 7÷5

x - 2 = 1.4

Adding 2 on both sides, we

x -2 + 2 = 1.4 + 2

x = 3.4

Hope you will understand the concept.

Thank you.

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Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E
zalisa [80]

Answer:

Reflected across x-axis followed by a dilation with a scale factor of 2 about the origin.

Step-by-step explanation:

It's clear from the graph,

Polygon ABCDE is reflected across x-axis then dilated so that it overlaps polygon A'B'C'D'E'

Let's choose a point A having coordinates (-2, -1)

By reflecting point A across x-axis,

Rule to be followed for the reflection,

(x, y) → (x, -y)

By this rule, coordinates of the image point A will be,

A(-2, -1) → A"(-2, 1)

Now point A"(-2, 1) has been dilated by a scale factor = k to form an image points A'(-4, 2).

Rule for the dilation of a point about the origin is,

A"(x, y) → A'(kx, ky)

A"(-2, 1) → A'(-2k, k)

Since, coordinates of point A' are (-4, -2),

Therefore, -2k = -4

k = 2

k = 2

Hence, polygon ABCDE was reflected across x-axis followed by a dilation with a scale factor of 2 about the origin to form polygon A'B'C'D'E'.

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3 years ago
Which line segments do you draw to find the center of a circle circumscribed about a triangle?
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