Answer:
x= 110°
Step-by-step explanation:
if you continue drawing the top purple line you will have a triangle with three angles
70° ; is given
180-140= 40°; is the same angle as the supplement angle of 140° (complementary angles are congruent)
180-70-40 = 70°; because sum of angles in a triangle is 180°
So angle x= 180 -70 = 110 because are a linear pair
Answer:
83 is the measure of x.
Step-by-step explanation:
A triangle is equal to 180 degrees. So 180 - 53 - 44 = 83.
4x=20-8y
x=5-2y now use this value of x in the second equation...
3(5-2y)+6y=15
15-6y+6y=15
15=15 This is true for any y or x value.
So there are infinitely many solutions as the two equations describe the same line.
Answer:
132 kilo meters
Step-by-step explanation:
Pro por tions:
9 lite rs ⇒ 99 km
12 lite rs ⇒ P km
P = 99*12/9
P = 132 km
Since they tell us that this is linear, having a constant rate of change, we can express this as a line:
y=mx+b, where m=slope (change in y divided by change in x) and b=y-intercept (value of y when x=0)
First find the slope, or m, which mathematically is:
m=(y2-y1)/(x2-x1), in this case:
m=(880-440)/(2000-1000)
m=440/1000
m=0.44, so far our line is:
y=0.44x+b, now we can use either data point to solve for b, I'll use (1000,440)
440=0.44(1000)+b
440=440+b
0=b, so our line is just:
y=0.44x
