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luda_lava [24]
3 years ago
15

Find the measure of arc EC.

Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0

Answer:

50

Step-by-step explanation:

7x = (90 + 5x) \times  \frac{1}{2}

7x =   {2.5x} + 45

4.5x = 45

x = 10

Plug 10 in for x.

5(10) = 50

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Phantasy [73]

Answer:

AB = 7

Step-by-step explanation:

The y-coordinate of point A and B is the same.

Therefore, both points lie on the same horizontal line (y = 2).

So determine the distance between them, subtract the x-coordinate of B from the x-coordinate of A:

AB = 4 - -3 = 4 + 3 = 7

However, to calculate the distance between 2 points, regardless if the points are on a horizontal (or vertical) line, you can always use the distance between 2 points formula that is derived from Pythagoras' Theorem, as follows:

let (x_1,y_1) = point A (4, 2)

let (x_2,y_2) = point B (-3, 2)

using the distance between two points equation:

AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

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*Edited to add a plot diagram*

5 0
3 years ago
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