Answer:
x = 7
Step-by-step explanation:
Given
4(5x - 2) = 2(9x + 3) ← distribute parenthesis on both sides
20x - 8 = 18x + 6 ( subtract 18x from both sides )
2x - 8 = 6 ( add 8 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
Start with an equation summing all the angles in this triangle:
180 = <M + <N + <P
we are given <M and <N but not <P. But, since MN=NP, the angle <P is the same as the angle <M (isosceles, make a drawing to see). So
180 = 2<M + <N
180 = 2(3x+1) + x-11
180 = 7x - 9
x = 27
<P = 3*27+1 = 82 degrees
I believe it's 3 because 4 times 3 equals 12 and 12 plus 8 equals 20!
4(3)+8=20
Hoped this helped! :)
Answer:
x ≥ 1 (how to graph is listed below)
Step-by-step explanation:
To find where we need to plot the line, we first need to solve the inequality for x:
-2x - 3 ≤ -5
(Add three to both sides)
-2x ≤ -2
(Divide both sides by -2, but we can't forget that whenever we multiple or divide by a negative number, the sign flips!)
x ≥ 1
To graph this on the number line, you would put a dot on the 1 and fill it in completely (you fill in the dot for a "___ and equal to" sign. ex. ≥, ≤)
Then you would make an arrow from the dot to the right on the number line (this is because x must be greater than or equal to 1, so it must be facing in that direction)
