PLEASE HELP WITH THIS MATH PROBLEM 30 POINTS
2 answers:
Answer:
The measure of one of the braces is 135.1 cm.
Step-by-step explanation:
It is given that A carpenter builds a rectangular bookcase that is 120 cm long and 62 cm tall. The carpenter uses two braces along the diagonals to support the bookcase.
From the figure drawn, let two braces be AC and BD. then, the value of one of the braces is:
Since, the measure of ∠C=90°, Using Pythagoras theorem in ΔBDC, we have
Substituting the given values, we have
Therefore, the measure of one of the braces is 135.1 cm.
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You add/subtract complex numbers simply by adding/subtracting real parts and imaginary parts.
So, the real part of this sum is the sum of the real parts:
And the imaginary part of this sum is the sum of the imaginary parts:
So, you have
Answer:
x = 142°
Step-by-step explanation:
The first thing you need to figure out is the missing interior angle of the triangle.
There is 180 degrees in a triangle, there is a 90° and 52° angle listed, so subtract that from 180° to get the missing angle.
180° - 90° - 52° = 38°
Now we want the exterior angle x. Angle x and the interior angle form a straight line when combined which will also be a 180° angle. You can picture this as a half circle (a full circle is 360°).
So subtract the interior angle 38° from 180°
180° - 38° = 142°
