Box volume = height * width * length. In this problem we want the length, so we solve the given equation for length:
720 in^3
length = -------------------- = 12 in
(15 in)(4 in)
The box is 12 inches long.
The Measure of the Missing Angles can be found by this formula: x+y+z= 180°.
You already know the measure of 1 Angle, which is 30°, right?
You also know that this Triangle is a Right Triangle, so the Square for One Angle indicates that the Angle is 90°.
y= 90°, and z= 30°, and you know that the Total Measure of any Triangle is 180° Total.
90°+30° = 120°, and 180°-120°= 60°, so finally, x= 60°, and y=90°, and z= 30°.
7 + 2x = 51
hope this helps
Angle 4 and Angle 2 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 2 is 127 degrees.
Angle 4 and Angle 3 are a linear pair, meaning that they are supplementary and add up to 180 degrees. Therefore, the measure of angle 3 is 53 degrees.
Angle 3 and Angle 1 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 1 is 53 degrees.
Hope this helps!
Easy
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