Mathematics: What is the value of m in the figure below in this diagram

What is the value of m in the figure below in this

Ответ:

jjel18

02.01.2022

Mathematics

Since $\triangle ABD\sim \triangle BCD,$ the corresponding sides are proportional:

$\dfrac{AB}{BC}=\dfrac{BD}{CD}=\dfrac{AD}{BD}.$

You are given that

Thus,

$\dfrac{AB}{m}=\dfrac{BD}{7}=\dfrac{11}{BD}.$

From the second equality $\dfrac{BD}{7}=\dfrac{11}{BD}$ you have that

$BD^2=7\cdot 11=77,\\ \\BD=\sqrt{77}.$

Now consider right triangle BDC (with right angle D). By the Pythagorean theorem,

$BC^2=BD^2+DC^2,\\ \\m^2=(\sqrt{77})^2+7^2=77+49=126,\\ \\m=\sqrt{126}.$

correct choice is A.

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Ответ:

onewaydemon

29.06.2021

Mathematics

If the temperature was 3 degrees Fahrenheit at Midnight, and it dropped 7 degrees during the next hour, then the temperature at 1 A.M. would be -4 degrees Fahrenheit. This is true because 3 - 7 = -4.

So, the answer to this question is that the temperature was -4 degrees Fahrenheit at 1 A.M.

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What is the value of m in the figure below in this diagram

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