Answer:
Step-by-step Hence
x 2 + x
2
=
12 2
or 2
x
2
=
144
or x
2
=
72
i.e. x
=
√
72
=
6
√
2
=
6
×
1.4142
=
8.4852
Hence, length of each leg is
8.4852
inches.
First of all, you need to recognize that ∠GHE and ∠AHD are "vertical" angles, so they are equal.
Then, you need to recognize that ∠AHD and ∠AHK are complementary angles.
Then you have
.. ∠AHD +∠AHK = 90
.. ∠GHE +∠AHK = 90
.. (60 -x) +(2x -6) = 90
Now, you have a linear equation in x that is easily solved.
.. x +54 = 90 . . . . . collect terms
.. x = 36 . . . . . . . . . subtract 54 . . . . . . . . . matches selection B*
___
* except that the answer is actually 36, not 36°. The variable x is used in an expression to which the units "degrees" are attached. x is a pure number; x° is 36°.
Step-by-step explanation:
<h3>
<em>Given </em></h3>
<em>p </em><em>=</em><em> </em><em>x </em><em>+</em><em> </em><em>y</em>
<em>When </em>
<em>x </em><em>=</em><em> </em><em>1</em><em>6</em><em> </em><em>,</em><em> </em><em>y </em><em>=</em><em> </em><em>8</em><em> </em><em>Then </em>
<em>p </em><em>=</em><em> </em><em>1</em><em>6</em><em> </em><em>+</em><em> </em><em>8</em><em> </em>
<em> </em><em> </em><em> </em><em>=</em><em> </em><em>2</em><em>4</em>
<em>Hope </em><em>it </em><em>will </em><em>help </em><em>:</em><em>)</em>
The correct answer is x=3
The answer would be 24 because 72 divided by 3 (1/3 scale factor
