Answer:
3.09
Step-by-step explanation:
The hundredth is the second number to the left of the decimal point. To round you use the number to the left to judge whether the next number will go up or down. A good rule is this "4 and below let it go, 5 and above give it a shove", this means if the number is 4 or lower leave the digit the same. If it's 5 or higher change it to be one digit larger.
Slope is rise over run.
40. the rise is $0.90 and the run is 6 years, so the annual rate of change is .9/6 = $0.15 per year
40) Final answer: $0.15 per year
For 41-48, find the difference between the given values of the same variable, then multiply by the slope and add/subtract from the variable whose second value is missing (sorry if that's confusing)
41. 9-6=3 => 3*(-1)=-3 => 2+3=-1
41) Final answer: r=-1
42. 4-3=1 => 1*8=8 => (-5)-8=-13
42) Final answer: r=-13
43. 5-2=3 => 3*(4/3)=4 => -3+4=1
43) Final answer: r=1
44. 7-3=4 => 4*(3/4)=3 (flip the slop to find x values) => -2-3=-5
44) Final answer: r=-5
45. (-1/4)-(-5/4)=4/4=1 => 1*(1/4)=1/4 (again flip the slope) => 1/2-1/4=1/4
45) Final answer: r=1/4
46. 1-(2/3)=1/3 => (1/3)*(1/2)=(1/6) (don't have to flip this time) => (1/2)-(1/6)=1/3
46) Final answer: r=1/3
For 47 and 48, I'll setup an equation for r
47. (4-r)*(-5/3)=r-2 => -20/3+(5r)/3=r-2 => -14/3+(5r)/3=r => -14/3=-(2r)/3 => -14=-2r => r=7
47) Final answer: r=7
48. (R-(-2))*(-2/9)=5-r => -2(r+2)/9=5-r => -(2r)/9-4/9=5-r => -(2r)/9=49/9-r => (7r)/9=49/9 => 7r=49 => r=7
48) Final answer: r=7
Hope I helped :)
Answer:
Step-by-step explanation:
ABCD is a rhombus. AC and BD are its diagonals intersecting at point E.
Diagonals of a rhombus bisects at right angles.
(Alternate angles)
Answer:
D 73º
Step-by-step explanation:
Total angles
a = (sides - 2) * 180
a = (5 - 2) * 180
a = 540
-------------------
Missing angle
x = 540 - (104 + 118 + 96 + 115)
x = 107
a is supplementary to x
m∠A = 180 - 107
m∠A = 73º