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nika2105 [10]
3 years ago
6

What is m∠DHG? Enter your answer in the box.

Mathematics
2 answers:
pentagon [3]3 years ago
8 0

Answer:

72

Step-by-step explanation:

Just took the test hope this helps :)

LenaWriter [7]3 years ago
6 0

the 2 equations given are vertical angles which mean they would equal the same.

Set the two equations to equal each other to solve for x:

6(x-2) = 3x+30

Simplify the left side:

6x-12 = 3x+30

Add 12 to eac side:

6x = 3x+42

Subtract 3x from each side"

3x = 42

Divide both sides by 3:

X = 42/3

X = 14


Now you know X, replace x with 14 in the equation for DHG:

DHG = 6(x-2)

6(14-2)

Simplify:

6(12)

Multiply:

72

Angle DHG is 72 degrees.

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A rectangular prism is 10 inches long, 5 inches wide, and 6 1/2 inches tall. What is the volume in cubic inches of the prism?
Angelina_Jolie [31]

Answer:

325 cubic inches

Step-by-step explanation:

10*5=50

50*6.5=325

Hope that helped! Please don't hate me if I did something wrong!

4 0
2 years ago
In a television series there is exactly one crime committed in every episode. It has been observed that the probability that the
Rama09 [41]

Answer:

P(x \le 3) = 0.2352

Step-by-step explanation:

Given

p = 0.35 --- male committing a crime in an episode

n = 5 -- Number of episodes

Required

Determine the probability of male committing a crime at least 3 times

This question illustrates binomial distribution and will be solved using;

P(x) = ^nC_x * p^x * (1 - p)^{n-x

So, the required probability is represented as:

P(x \ge 3)

And will be calculated using:

P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)

P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^{5-3}

P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^2

P(x = 3) = 10 * (0.35)^3 * (0.65)^2

P(x = 3) = 0.1811

P(x = 4) = ^5C_4 * (0.35)^4 * (1 - 0.35)^{5-4}

P(x = 4) = 5 * (0.35)^4 * (1 - 0.35)^1

P(x = 4) = 5 * (0.35)^4 * (0.65)

P(x = 4) = 0.0488

P(x = 5) = ^5C_5 * (0.35)^5 * (1 - 0.35)^{5-5}

P(x = 5) = 1 * (0.35)^5 * (1 - 0.35)^0

P(x = 5) = 1 * (0.35)^5 * (0.65)^0

P(x = 5) = 1 * (0.35)^5 * 1

P(x = 5) = 0.0053

So:

P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)

P(x \le 3) = 0.1811 + 0.0488 + 0.0053

P(x \le 3) = 0.2352

4 0
2 years ago
Please help me out with this question
julsineya [31]
1) The process of cellular respiration takes place in the mitrochondria.
2) The process of photosynthesis takes place in the chloroplasts. Only plant cells and the cells of autotrophic protists and some bacteria undergo this process.
3) Phospholipids are lipids that consist of glycerol joined to two fatty acids and a phosphate group, which gives this molecule two nonpolar hydrophobic tails and a polar hydrophilic head. Phospholipids form bilayers that are used to make up biological membranes.
4)While there are definitely many more than 4 important molecules, I'm assuming the ones you are looking for are carbohydrates, proteins, Nucleic acids, and lipids.
5)A molecule is made up of two or more atoms held together by covalent bonds, whereas a compound is a substance containing two or more elements in a fixed ratio. Both molecules and compounds are made up of atoms/elements, however, compounds MUST be made up of two different kinds of elements, while molecules could consist of the same kind.

Hope this helps! :)
7 0
2 years ago
What is the answer to -t+9-4t=59?
kkurt [141]

Answer:

-10

Step-by-step explanation:

combine like terms -5x+9=59 subtract 9 from both side and get -5x=50 so x=-10

3 0
3 years ago
Read 2 more answers
Help graph the image
Svetradugi [14.3K]
Basically, shift each coordinate one unit to the right (one X over) 


You will have to predict the points a little
5 0
3 years ago
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