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Alex787 [66]
2 years ago
7

Geometry math question please help

Mathematics
1 answer:
Fed [463]2 years ago
3 0

First you need to find the sum of all the interior angles using the formula (n-2)*180, where n is the number of sides.

There are 6 sides to this figure so the interior angles need to equal (6-2)*180 = 4*180 = 720.

Now add all the given angles together: 2x + 3x + 3x + 3x +3x +2x = 16x

Now we know 16X = 720

Find X by dividing both sides by 16:

X = 720 / 16

X = 45

Now we know X, so to find E, replace X with 45 and multiply by 3:

3X = 3(45) = 135.

E = 135. The answer is D.

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What is an equation of the line that passes through the points (−2,8) and (1,−1)
dem82 [27]

Answer:

y = -3x + 2

Explanation:

Do the rise over run equation to find slope

Slope = 3

Plug in slope to equation and also choose one of the coordinate points to plug in x and y so you can find b

Plug in all of this to get final y=mx+b form

3 0
2 years ago
Two passenger train, A and B, 450 km apart, star to move toward each other at the same time and meet after 2hours.
likoan [24]

Let v be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are

\begin{cases}s_A(t) = vt\\s_B(t) = -\dfrac{8}{7}vt+450\end{cases}

where s_A,\ s_B are the positions of trains A and B respectively, and t is the time in hours.

The two trains meet if and only if s_A=s_B, and we know that this happens after two hours, i.e. at t=2

\begin{cases}s_A(2) = 2v\\s_B(2) = -\dfrac{16}{7}v+450\end{cases}\implies 2v = -\dfrac{16}{7}v+450

Solving this equation for v we have

2v = -\dfrac{16}{7}v+450 \iff \dfrac{30}{7}v=450 \iff v=\dfrac{450\cdot 7}{30} = 105

So, train A is travelling at 105 km/h. This implies that train B travels at

105\cdot \dfrac{8}{7} = 15\cdot 8=120 \text{ km/h}

5 0
2 years ago
Brad worked 40 hours last week and earned $394. What was Brad's hourly pay in dollars and cents?
ZanzabumX [31]
Brad's pay is $9.85 per hour
5 0
3 years ago
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In answering a question on a multiple-choice test, a student either knows the correct answer or guesses it. Let 0.7 be the proba
Dahasolnce [82]

Answer:

The probability is 0.9211

Step-by-step explanation:

Let's call K the event that the student know the answer, G the event that the student guess the answer and C the event that the answer is correct.

So, the probability P(K/C) that a student knows the answer to a question, given that she answered it correctly is:

P(K/C)=P(K∩C)/P(C)

Where P(C) = P(K∩C) + P(G∩C)

Then, the probability P(K∩C) that the student know the answer and it is correct is:

P(K∩C) = 0.7

On the other hand, the probability P(G∩C) that the student guess the answer and it is correct is:

P(G∩C) = 0.3*0.2 = 0.06

Because, 0.3 is the probability that the student guess the answer and 0.2 is the probability that the answer is correct given that the student guess the answer.

Therefore, The probability P(C) that the answer is correct is:

P(C) = 0.7 + 0.06 = 0.76

Finally, P(K/C) is:

P(K/C) = 0.7/0.76 = 0.9211

7 0
3 years ago
X-y=1,y=5<br> What is the answer to this problem ?
Karo-lina-s [1.5K]

Answer: x = 6 y = 5

Step-by-step explanation: coz I juss know

8 0
3 years ago
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