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kondor19780726 [428]
3 years ago
13

Each week as part of her workout, Monica walks 0.5 mile, runs 1.6 miles, and then walks 0.75 mile.

Mathematics
1 answer:
Levart [38]3 years ago
8 0

Answer:

148.2 miles in 52 weeks

Step-by-step explanation:

0.5 * 52 = 26 miles

1.6 * 52 = 83.2 miles

0.75 * 52 = 39 miles

26 + 83.2 + 39 = 148.2 miles

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I would like you to help me with that since I do not understand very well please ​
JulijaS [17]

When you see the symbol "△", this denotes a triangle. Now combine the symbol with the letters FGH, this becomes △FGH, meaning a triangle FGH, with F, G, and H as the three points.

Now, the symbol "∠" means angle and "m∠" means the measure of an angle. So m∠F means the angle at the point F, m∠G means the angle at the point G, and m∠H means the angle at the point H. (I'll attach a diagram of this triangle).

Now we have to determine m∠H, which is the angle at point H. To do that, we have to find the value of x. To do that, we have to use one of the laws of a triangle, which is:

The sum of angles in a triangle = 180°. This means when we add all the angles in a triangle, it sums up to 180°. Let's do that.

\angle F + \angle G + \angle H = 180\textdegree \\\angle F = (5x - 6)\textdegree, \angle G = (3x + 16)\textdegree, \angle H = (x + 8)\textdegree \\(5x - 6) + (3x + 16) + (x + 8) = 180\\5x + 3x + x - 6 + 16 + 8 = 180\\9x + 18 = 180\\9x = 180 - 18\\9x = 162\\x = 18\textdegree

Now that we have found the value of x as 18°, we can substitute its value to determine the angle H.

m\angle H = (x + 8), x = 18\\m\angle H = 18 + 8\\m\angle H = 26\textdegree

I hope you understand the explanation.

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Step-by-step explanation:

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Step-by-step explanation:

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I hope this helps you



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