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2 years ago

What is the value of x in the diagram below?

Mathematics

2 answers:

dusya [7]2 years ago

7 0

we know that

the two triangles in the figure are similar, because they have three equal angles

therefore

The ratio of the corresponding sides are equal

$\frac{x}{8}= \frac{18}{48} \\ \\x=(8*18)/48 \\ \\x=3\ units$

therefore

the answer is the option C

$3$

Sever21 [200]2 years ago

3 0

Answer:

Step-by-step explanation:

From the figure, it can be seen that all the three angles of the triangles are equal therefore both the triangles are similar, hence using the similarity condition, we get:

$\frac{18}{x}=\frac{48}{8}$

On cross multiplying, we get

$x=\frac{18{\times}8}{48}$

$x=\frac{18}{6}$

$x=3$

Hence, the value of x is 3.

Therefore, the option C is correct.

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Which algebraic expression represents “Marcus ran four times as far this week”? 4 + n 4n n – 4

disa [49]

Answer:

The Answer would be 4n

Step-by-step explanation:

Since Marcus ran four times as far this week, we need to know how far he ran last week in order to solve this expression. Since we do not know this information it becomes our variable (n). From the statement we can also infer that there is multiplication since he states the word "times". Therefore our Algebraic Expression would be the following.

P = 4n

P being distance ran by Marcus, and n being distance ran last week by Marcus.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0

2 years ago

Read 2 more answers

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gayaneshka [121]

Answer:

Step-by-step explanation:

there is 2: 3 1

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2 years ago

The average homicide rate for the cities and towns in a state is 10 per 100,000 population with a standard deviation of 2. If th

zlopas [31]

Answer:

$P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)$

And we can find this probability with the complement rule:

$P(Z>-1)=1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the average homicide rate for the cities of a population, and for this case we know the distribution for X is given by:

$X \sim N(10,2)$