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Nastasia [14]
2 years ago
13

The round trip of the Obsevation Point Trail is 56% of the round trip distance of the Mystic Falls Trail. What is the round trip

distance of the Mystic Falls Trail?
Observation point= 1.4 miles (round-trip)
Mathematics
1 answer:
iragen [17]2 years ago
6 0
Mystic Falls Trail point = 1.1 miles ( round trip)

Because
56% =. 1.4 miles
100% = 2.5 miles
44% = 1.1 Miles
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Sergio039 [100]

Answer:

Option C is correct

Step-by-step explanation:

<h3>\frac{1}{2} (a + b)h</h3><h3>Hope it is helpful.....</h3>
4 0
3 years ago
In a triangle find the Remote exterior angle given the remote interior angles are 27 and 53
Varvara68 [4.7K]

Answer:We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,

x + y + z = 180

We know this is true, because the sum of the angles inside a triangle is always 180 degrees. What is w? We don't know yet. But, we may observe that the measure of angle w plus the measure of angle z = 180 degrees, because they are a pair of supplementary angles. Notice how Z and W together make a straight line? That's 180 degrees. So, we can make a new equation:

w + z = 180

Then, if we combine the two equations above, we can determine that the measure of angle w = x + y. Here's how to do that:

x + y + z = 180 (this is the first equation)

w + z = 180 (this is the second equation)

Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:

x + y + (180 - w) = 180

x + y - w = 0

x + y = w

Interesting. This tells us that the measure of the exterior angle equals the total of the other two interior angles. In fact, there is a theorem called the Exterior Angle Theorem which further explores this relationship:

Exterior Angle Theorem

The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.

Let's try two example problems.

Example A:

If the measure of the exterior angle is (3x - 10) degrees, and the measure of the two remote interior angles are 25 degrees and (x + 15) degrees, find x.

First example of finding an exterior angle

To solve, we use the fact that W = X + Y. Note that here I'm referring to the angles W, X, and Y as shown in the first image of this lesson. Their names are not important. What is important is that an exterior angle equals the sum of the remote interior angles.

6 0
3 years ago
PLEASE HELP ME IT WOULD MEAN A LOT
arlik [135]

Answer:

12x³ - 3x

Step-by-step explanation:

<em>Given </em>

<em>f(</em><em>x</em><em>)</em><em> </em><em>=</em><em> </em><em>x </em><em>and </em><em>g(</em><em>x</em><em>)</em><em> </em><em>=</em><em> </em><em>4x²</em><em> </em><em>-</em><em> </em><em>1</em>

<em>Now</em><em>, </em>

<em>3</em><em> </em><em>f(</em><em>x</em><em>)</em><em> </em><em>*</em><em> </em><em>g(</em><em>x</em><em>)</em><em> </em>

<em>=</em><em> </em><em>3</em><em> </em><em>*</em><em> </em><em>x </em><em>(</em><em>4x²</em><em> </em><em>-</em><em> </em><em>1</em><em>)</em>

<em>=</em><em> </em><em>3x </em><em>(</em><em> </em><em>4x²</em><em> </em><em>-</em><em> </em><em>1</em><em> </em><em>)</em>

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<em>Hope </em><em>it </em><em>will </em><em>help </em><em>:</em><em>)</em>

4 0
3 years ago
It is now 3:15 pm. Is it possible to drive 135 miles and arrive before 5:00 pm if ypu drove 55 mph? Explain your answer
Troyanec [42]
Well, how long will it take you to drive 135 miles at 55mph?

at 55 mph, you're doing 55 miles every hour, so we can simply get the quotient of 135/55 and that's how many hours it'll take you to drive 135 miles at that speed.

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so, it takes you that long, however, from 3:15 to 5:00pm there are only 45mins + 60mins or 1hr and 45 minutes, namely 1¾ hr.

so 2hrs and 27 minutes is much later than 1¾ hr, so, no dice, you can't arrive at 5pm, actually you'll arrive around 5:42pm.
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Answer:

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Step-by-step explanation:

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