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3 years ago

the following two triangles are similar. Find the missing side length represented by x. Please help i am almost done.

Mathematics

1 answer:

lbvjy [14]3 years ago

5 0

Answer:

7 inches

Step-by-step explanation:

First, you make an imbalanced equation: 22.75/x=13/4. Then you cross multiply: 22.75 * 4= 91. Then divide 91/13 = 7.

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Explain how you could use a number line to show that -4 + 3 and 3 + (-4) have the same value

dedylja [7]

-4 -3 -2 -1 0 1 2 3
I______I_______I_______I_______I_______I_______I_______I

* start here, and ADD NEGATIVE 3... you go to 1

* start here, SUBTRACT 4 you go to -1

in other words adding a negative is the same as subtracting a postitve

6 0

3 years ago

A triangular plot of land has one side along a straight road measuring 294 feet. a second side makes a 63degrees angle with the

creativ13 [48]

The side across from the 63° angle is 299.5 ft and the side across from the 56° angle is 278.7 ft.

We will use the Law of Sines to solve this. First, the angle across from the 63° angle:
sin 61/294 = sin 63/x

Cross multiply:
x*sin 61 = 294 sin 63

Divide by sin 61:
(x sin 61)/(sin 61) = (294 sin 63)/(sin 61)
x = 299.5

For the side across from the 56° angle:
sin 61/294 = sin 56/x

Cross multiply:
x*sin 61 = 294 sin 56

Divide both sides by sin 61:
(x sin 61)/(sin 61) = (294 sin 56)/(sin 61)
x = 278.7

6 0

3 years ago

The stem-and-leaf plot shows the numbers of hours 10 students studied for their math exam. Find the mean, median, mode, range, a

JulsSmile [24]

The question is incomplete as the stem and leaf plot required to to provide data for y question isn't given.

In other to help with this question, I have attached a stem and leaf plot with 10 data values and I will be calculating the required statistical measures for the dataset. The knowledge can thus be applied to solve similar questions on your exact data set.

Answer:

Kindly check explanation

Step-by-step explanation:

Firstly, we need to write out values if the dataset :

Each value in the dataset is a combination of the stem and the corresponding leaf or leaves.

For the stem plot attached :

Dataset , X : 08, 12, 17, 18, 19, 22, 23, 31, 35, 40

The mean :

Σx / n

n = sample size = 10

= 225 / 10

= 22.5

Arranging data on ascending order :

08, 12, 17, 18, 19, 22, 23, 31, 35, 40

The median :

1/2(n+1)th term

1/2(11)th term = 5.5 th term = (5+6)th term / 2

Median = (19+22)/2 = 20.5

Mode = all dataset (since they all occur once).

Range = (maximum - minimum) = 40 - 8 = 32

Interquartile range : (Q3 - Q1)

Q3 = 3/4(n+1)th term ; 3/4(11) = 8.25th term

Q3 = (8th + 9th) term / 2 = (31+35)/2 = 33

Q1 = 1/4(n+1)th term ; 1/4(11)th term = 2.75 th term

Q1 = (12+17)/2 = 14.5

Interquartile range : (Q3 - Q1) = 33 - 14.5 = 18.5

7 0

2 years ago

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Assume that there is a 150 year old law in the statutes of your state which makes kissing in a public graveyard a crime punishab

pickupchik [31]

Answer: Natural law.

Step-by-step explanation:

Natural law this is a theory which is based on ethics and philosophy which states that human beings possess intrinsic values which guide our reasoning and behaviors. Natural law stands to maintain that these rules of right and wrong are inborn in people and are not created by the society or court judges. An example of Natural law is that it is bad to kill someone, and it’s is right to punish whoever kills someone.

in the example cited above it is morally wrong to kiss or furnicate in a cemetery ground and as such falls under the natural law cause our sense of judgment should come into play there.

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2 years ago

84 is 60% of what number?

mariarad [96]

I'm pretty sure that it is 140. Hope I helped!

7 0

3 years ago

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