To solve -7y > 161, we divide both sides by -7 and we get y < -23. The inequality sign flipped because we divided both sides by a negative number.
To solve 7y > -161, we divide both sides by 7 and it leads to y > -23. The inequality sign does not flip in this case, because we are not dividing both sides by a negative number.
The similarities is that we end up with -23 on the right side, but the inequality signs are different.
Answer:
m=-15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. m=-15
Answer: first question answer is 3x^3+6x^2-24x+27
Second question answer=a^2-ab
Step-by-step explanation:
Let's start with x... Since angle AOE is a 90 degree angle, then we know the supplementary angle EOB is also 90 degrees. The 2 angles that make up angle EOB are given to us as expressions. Added together the must equal 90 degrees...
(x+8) + (2x-8) = 90
3x = 90
x = 30
Now if we look at y, we see it is an opposite angle from angle DOB. Because it is opposite, it is also congruent... so it has to be equal to angle DOB... and since angle DOB is 2x - 8, we can substitute x with the answer we found in the last step, 30, to find the angle.
2x - 8= y
2(30) - 8 = y
60 - 8 = y
y = 52 degrees
Since angle DOB equals 52 degrees, then y = 52 degrees
x = 30 degrees
y = 52 degrees
*Note, you can also find the value of angles GOF and EOD by plugging x (30) into the expressions.
