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Yuri [45]
3 years ago
15

In the following figure, triangle ABC and triangle DEF are similar. What is the value of x ? Triangle ABC and triangle DEF are s

hown. Side AB measures 10 millimeters. Side BC measures 4 millimeters. Side CA measures 8.5 millimeters. Side DE is not labeled. Side EF measures 12 millimeters. Side FD measures x. (1 point) x = 16.5 mm x = 24 mm x = 25.5 mm x = 30 mm
Mathematics
1 answer:
Shtirlitz [24]3 years ago
7 0
X = 25.5 mm.

Using the similarity statement given, that ΔABC ~ ΔDEF, we set up a proportion:

8.5/x = 4/12

Cross multiply:
4*x = 8.5*12
4x = 102

Divide both sides by 4:
4x/4 = 102/4
x = 25.5
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A university's freshman class has 6200 students. 4836 of those students are majoring
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According to the solving 78% of the freshman class are Economics majors.

<h3>What does a percentage mean?</h3>

percentage, a relative figure signifying hundredths of any amount. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

<h3>Why is it called percent?</h3>

The word "percent" comes from the Latin adverb per centum, which means "by the hundred." In the sixteenth century, the Latin expression made its way into English. Later, it was shortened to % with a final period.

<h3>According to the given data:</h3>

It is given that the total number of students in freshman class = 6200

Total number of students majoring in Economics = 4836

Here, we are asked to find the percentage of the freshman class who are majoring in Economics.

Percent of students majoring Economics =  (Number of students majoring/ Economics  Total number of students) x 100

= \frac{4836}{6200} x 100

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According to the solving 78% of the freshman class are Economics majors.

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4 0
1 year ago
The Bureau of Labor Statistics1 in the US tells us that, in 2010, the unemployment rate for high school graduates with no colleg
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Answer:

p_1 -p_2 = 0.097-0.052 = 0.045

So then the difference between the two proportions is 0.045 and if we convert this into % we got

0.045*100= 4.5%

Step-by-step explanation:

For this case we can define the following notation:

p_1 represent the unemployment rate for high school graduates with no college degree

p_2 represent the unemployment rate for college graduates with a bachelor's degree

And for this case we need to find the difference in proportions of those unemployed between these two groups, we want to find:

p_1 -p_2

From the info given we have p_1 = \frac{9.7}{100}=0.097

p_2 = \frac{5.2}{100}=0.052

And the difference:

p_1 -p_2 = 0.097-0.052 = 0.045

So then the difference between the two proportions is 0.045 and if we convert this into % we got

0.045*100= 4.5%

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3 years ago
How many terms are in this expression?<br><br> X + 1
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Answer:

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3 0
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