It is A because that angle is an supplementary angle. Furthermore, a supplementary angle is an angle that is 180 degrees. Anyway, in order to find x, you do:
4x + 2 + 3x + 3 = 180.
4x + 3x = 7x 2 + 3 = 5
7x + 5 = 180
Then subtract five from 180 and you get 175.
7x = 175
Divide 175 by 7 and you get 25
x = 25
For proof, plug 25 in 4x + 2 and you get 102 degrees. Plug 25 also in 3x + 3 and you get 78 degrees.
We know this because ALL lines equal 180 degrees and in a linear equation you are finding the equation for a straight line. In this question we are the length of our line on each side of the angle. You do not HAVE to use the parenthases however you can to show that they are separate measurements that will need solving before the value of x can be found.
Note in linear equations, we know the line will equal 180 degrees. HOW? Imagine that line with a circle around it. That line runs through the center dividing that circle in half. A circle measures 360 degrees, now since that line is in the center of the circle cutting it in half we know that the line would be half of 360. Knowing this will help you find not only x but the total of both angles.
More than means addition and product means multiplication. Therefore, seven more than the product of three and x would mean multiplying 3 and x together then adding 7 to that. Or, 3x + 7.
Since the equation, <span>h=1.6a+41, is linear, we know that the coefficient of x, or in this case a, is the slope. Therefore the correct answer would be
</span><span>The model predicts that for each year older a male student is, he is about 1.6 inches taller.</span>
