Answer:
x=3
z=65
Step-by-step explanation:
6x+97 and 14x+73 are vertical angles which means they are equal
6x+97= 14x+73
Subtract 6x from each side
6x-6x+97= 14x-6x+73
97 = 8x +73
Subtract 73 from each side
97-73 = 8x+73-73
24 = 8x
Divide each side by 8
24/8 = 8x/8
3 = x
Now we need to find z
6x+97 and z are supplementary angles which means they add to 180
6x+97 +z = 180
6(3) +97 +z = 180
18+97+z=180
Combine like terms
115+z = 180
Subtract 115 from each side
115-115 +z=180-115
z = 65
Pretty fast consider 115ft wasn't enough to avoid an accident..
3 bottles of juice
6.72/3 = $2.24 < amount paid for each bottle
11 bottles of juice
24.86/11 = $2.26 <amount paid for each bottle
9 bottles of juice
20.25/9 = $2.25 < amount paid for each bottle
16 bottles of juice
35.68/16 = $2.23 < amount paid for each bottle
*the best buy would be to get 16 bottles for $35.68*10 bars of soap
23.20/10 = $2.32 < amount for each bar of soap
16 bars of soap
36.48/16 = $2.28 < amount for each bar of soap
13 bars of soap
29.51/13 = $2.27 < amount paid for each bar of soap
12 bars of soap
27.60/12 = $2.30 < amount for each bar of soap
*the best buy would be to get 13 bars of soap for $29.51*hope this helps :)
The equation of proportional relationship is of the form:
where m is the slope.
Drawing it is fairly easy, you start from the origin (0, 0) and you draw a diagonal staight line. The inclination of the line depends on the value of m. See picture attached.
