Answer:
4/3
Step-by-step explanation:
Moving from (-4, -9) to (5, 3), x (the 'run') increases by 9 from -4 to 5, and y (the 'rise') increases by 12 from -9 to +3. Thus, the slope of the line connecting the two points is
m = rise / run = 12/9 = 4/3
It may help to think of the change in x (9) as the horizontal leg of a right triangle and the change in y (12) as the vertical leg. Then
m = (vertical leg length) / (horizontal leg length) = 12/9 = 4/3
5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)
20x - 50 + 10x = 8x - 12 + 2x - 8
30x - 50 = 10x - 20
30x - 10x = -20 + 50
20x = 30
x = 3/2 <==
I hope this helps you
31 and x looking same arc
x=31
Answer: 68/67.8 toothpicks
Step-by-step explanation
first convert how many inches 11.3 feet is
11.3 = 135.6 inches
so after you get your number you get your calculator and divide it by how many inches the toothpicks are
135.6 ÷ 2= 67.8
then to get a solid answer you would round it to a whole number
67.8--> 68
so you ether say the rounded number or you cut .2 inches off the last toothpick
(also im not sure if its 11.3ft or 113ft so if so then take away the decimal and do the same math, you'll end up with 678 toothpicks)
1) Given
2) Adding segments AB and BC together gives AC (Addition postulate, not too sure about the terminology)
3) Segment Addition postulate
4) Segment Addition postulate(Knowing that AC=BD, the distance between BC and CD add up to BD, shown in #3. AB and BC add together to give AC)
5) Subtraction property of Equality
Hope I helped :)
