Supplementary means they equal 180 when added. Therefore:
X+56+3x=180
Combine common units
4x+56=180
Subtract 56 from both sides
4x=124
Divide by 4
X=31
Now we know the smaller angle is 31 degrees. Now we plug that into the larger angle:
3(31)+56
93+56
149
The larger angle is 149 degrees.
I hope this Helps!
Answer:
55
Step-by-step explanation:
55 is your answer
First we have to find the slope of the given line. We do that by puttiing the equation into slope-interept form. or solving it for y (same thing). 2x + 4y = -6. We move the 2x over by subtraction to get 4y = -2x - 6. Divide both sides by 4 to get the slope-intercept form we are seeking.
. The slope that is perpendicular to that slope of -1/2 is the opposite reciprocal. Therefore, the perpendicular slope is a positive 2/1 or just 2. If this new line goes through the point (2, 5), it goes through the x value of 2 and the y value of 5. We will use those values along with the slope of 2 to solve for b in our slope-intercept equation. That looks like this:
and b = 1. That means our new equation, the one that is perpendicular to the given line, has an equation of y = 2x + 1.

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C. 9
Hopefully, this helps you!!

If they are similar, and the second cube's length is 3 times that of the first, then all of the sides are 3 times as large.
To calculate the volume, we multiply the length by the width by the height, each of which is 3 times as big. So, in total, the volume is 27 times larger in the second prism than the first.
So, if the first volume is 30 cubic centimetres, the second one would be 810 cubic centimetres.
Hope I helped! xx