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Tanya [424]
2 years ago
15

In the given figure, the area of △ADE is 16 units. What is the area of △ABC?

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
5 0

Answer:

(i) Triangle ABC and triangle ADE are similar triangles. Hence, their ratios will be same.

Ratio of DE to BC is 4:6 => 2:3

To find area, we need to raise the ratio of length to power 2

(2/3)² = 16/x

4/9 = 16/x

x = (16*9)/4

x = 36cm²

Therefore, area of triangle ABC is 36cm²

(ii) Ratio of DE to BC is 4:8 => 1:2

(1/2)² = 25/x

1/4 = 25/x

x = 25*4

x = 100cm²

Therefore, area of triangle ABC is 100cm²

I'm not sure about the third question, sorry

Step-by-step explanation:

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Find the value of x. Then, find the measure of each angle.
Talja [164]

Answer:

 

Step-by-step explanation:

 

8 0
2 years ago
A high school has 36 players on the football team. the summary of the players' weights is given in the box plot. what is the int
Komok [63]

The interquartile range of the players' weights = 48 pounds.

The boxplot attached to this question is missing. It was obtained online and is attached to this solution of the question.

It should be noted that the following is true for a boxplot.

A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.

The elements of the box plot are described thus;

The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.

The horizontal line inside the box is the median.

The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.

Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.

So, it is evident that for this question,

First quartile = 174 pounds

Third quartile = 222 pounds

Inter Quartile Range = (Third quartile) - (First quartile)

= 222 - 174

= 48 pounds.

To know more about "interquartile"

Refer this link:

brainly.com/question/16988652

#SPJ4

6 0
1 year ago
A store has 263 board games. Sit has 100 fewer puzzles than board games. The store has 10 more action figures than puzzles. Writ
Yuri [45]

so is it has 100 puzzles less than board games and you have 263 board games just subtract 263-100 which is 163. if it has 10 more action figures than puzzles and you have 163 puzzles you would add 10 to 163 which would give you 173 action figures.

163 puzzles and 173 action figures is the answer

4 0
3 years ago
Read 2 more answers
3x + y = 14<br> y = 5<br> Solve the system of equations
lorasvet [3.4K]

Answer:

X=3, y=5

Step-by-step explanation:

3x + y = 14 equation 1

y=5 equation 2

3x + 5 = 14.    substitute value of y from equation 2 into equation 1

3x=9

x-3

6 0
3 years ago
Red Bull is the most popular energy drink in sales in the United States. Red Bull GmbH (the parent company) has observed that da
oee [108]

Answer:

The probability that on a given day below 6,214,323 drinks are sold is 0.8413.

Step-by-step explanation:

The provided information are:

Population mean (\mu) = 6,205,195

Population standard deviation (\sigma) = 9,120.32

Consider, <em>X</em> be the random variable that represents the number of drinks that are sold on a given that is normally distributed with the mean = 6,205,195 and standard deviation = 9,120.32.

The probability that on a given day below 6,214,323 drinks are sold can be calculated as:

P(X

It must be noted that <em>P</em>(<em>Z</em> < 1.0008) = 0.8413 has been calculated using the standard normal table.

Hence, the required probability is 0.8413.

8 0
3 years ago
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