All categories

3 years ago

Geometry math question please help

Mathematics

1 answer:

Fed [463]3 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.

You might be interested in

Fine the difference between the proud of 26.22 and 3.09 and the sum of 3.507,208,11.5,and 16.712.

zlopas [31]

<span>Fine the difference between the proud of 26.22 and 3.09 and the sum of 3.507,208,11.5,and 16.712.:
</span>
60.800591885

7 0

3 years ago

Gasoline costs $2.79 per gallon Is the number of gallons proportional to the total cost

nekit [7.7K]

I don't think it's proportional, because in order for a question to be a proportional question has/could be to be like this:

Gasoline costs $2.79 per 2 gallon. How much will it cost for 8 gallon. Then, we cross multiply and all to find the answer.

3 0

3 years ago

At a 20th high school reunion, all the classmates were asked the number of children they had. The probability of having a partic

finlep [7]

Answer:

a) We need to check two conditions:

1) $\sum_{i=1}^n P_i = 1$

$0.05+0.14+0.34+0.24+0.11+0.07+0.02+0.02+0.01= 1$

2) $P_i \geq 0 , \forall i=1,2,...,n$

So we satisfy the two conditions so then we have a probability distribution

b) $P(C \geq 1)$

And we can use the complement rule and we got:

$P(C \geq 1)= 1-P(C$

c) $P(C=0) = 0.05$

d) For this case we see that the result from part b use the probability calculated from part c using the complement rule.

Step-by-step explanation:

For this case we have the following probability distribution given:

C 0 1 2 3 4 5 6 7 8

P 0.05 0.14 0.34 0.24 0.11 0.07 0.02 0.02 0.01

And we assume the following questions:

a) Verify that this is a probability distribution

We need to check two conditions:

1) $\sum_{i=1}^n P_i = 1$

$0.05+0.14+0.34+0.24+0.11+0.07+0.02+0.02+0.01= 1$

2) $P_i \geq 0 , \forall i=1,2,...,n$

So we satisfy the two conditions so then we have a probability distribution

b) What is the probability one randonmly chosen classmate has at least one child

For this case we want this probability:

$P(C \geq 1)$

And we can use the complement rule and we got:

$P(C \geq 1)= 1-P(C$

c) What is the probability one randonmly chosen classmate has no children

For this case we want this probability:

$P(C=0) = 0.05$

d) Look at the answers for parts b and c and explain their relationship

For this case we see that the result from part b use the probability calculated from part c using the complement rule.

5 0

3 years ago

Luis purchased 24 purple plants and 8 pink plants. He wants to plant them in equal groups in his garden. What is the largest num

fiasKO [112]

He can make 8 groups with 1 pink plant and 3 purple plants in each group.

4 0

3 years ago

A cylinder has a volume of 360 in^3. If the height and radius are multiplied by 2.5, what will the resulting volume be?

4vir4ik [10]

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2.5r\\
h=2.5h
\end{cases}\implies V=\pi (2.5r)^2(2.5h)
\\\\\\
V=\pi \cdot 2.5^2\cdot r^2\cdot 2.5h\implies V=(2.5^2\cdot 2.5)\pi r^2 h
\\\\\\
V=15.625\pi r^2h\impliedby \textit{15.625 of the original}
\\\\\\
\textit{if the original was 360}\qquad 15.265\cdot 360$

5 0

3 years ago