The triangles below are similar. What is the length of ? A. 17 cm C. 19 cm B. 18 cm D. 20 cm

Mathematics

1 answer:

denis-greek [22]4 years ago

4 0

Answer:

B. 18 cm.

Step-by-step explanation:

Because they are similar, we can say that segment AC corresponds to segment DF, and segment AB corresponds to segment ED. So, we can set up a proportion.

$\frac{16}{24} =\frac{12}{x}$

$\frac{2}{3} =\frac{12}{x}$

2 * x = 12 * 3

2x = 36

x = 18

So, the length of ED is B. 18 cm.

Hope this helps!

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What is the upper quartile, Q3, of the following data set? 54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41

scZoUnD [109]

The original data set is
{54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41}

Sort the data values from smallest to largest to get
{38, 41, 43, 46, 48, 52, 53, 54, 55, 56, 60, 62, 65, 67, 70}

Now find the middle most value. This is the value in the 8th slot. The first 7 values are below the median. The 8th value is the median itself. The next 7 values are above the median.

The value in the 8th slot is 54, so this is the median

Divide the sorted data set into two lists. I'll call them L and U
L = {38, 41, 43, 46, 48, 52, 53}
U = {55, 56, 60, 62, 65, 67, 70}
they each have 7 items. The list L is the lower half of the sorted data and U is the upper half. The split happens at the original median (54).

Q3 will be equal to the median of the list U
The median of U = {55, 56, 60, 62, 65, 67, 70} is 62 since it's the middle most value.

Therefore, Q3 = 62

Answer: 62

4 0

3 years ago

Compare 9 * 10^4 to 3 * 10^2. (A) 9 * 10^4 is 3 times larger than 3 * 10^2 (B) 9 * 10^4 is 30 times larger than 3 * 10^2 (C) 9 *

dexar [7]

Answer:

9 * 10^4 is 300 times larger than 3 * 10^2

Step-by-step explanation:

Here, we want to compare the two figures and give the verdict on how big they are

as we can see, by squaring the second figure, we get the first

Mathematically, what we are saying is that;

(9 * 10^4) = (3 * 10^2)^2

basically, the difference between the two is to the tune of (3 * 10^2)