Answer:
x:
5x - 29 = 3x+ 19
2x = 48
x = 24°
Angle 1:
180 - (3x+7) = 180 - 79 = 101°
Angle 2:
3x + 7 = 79°
Angle 3:
Same as Angle 1 = 101°
Angle 4:
Same as Angle 1 = 101°
Angle 5:
Same as Angle 2 = 79°
Angle 6:
Same as Angle 5 = 79°
Angle 7:
180 - (5x - 29) = 180 - 91 = 89°
Angle 8:
Same as Angle 7 = 89°
Angles 2 and 3 are Supplementary angles
Answer:
y is equal to -1
x is equal to 4
Step-by-step explanation:
The first thing you would do is multiply the bottom equation by a negative 3. You will get - 6x - 9y = -15. Keep the top equation the same. Both of the 6x's cancel. You then get -11y = 11 so y is equal to negative 1.
Since you have Y, you can now plug that in to any equation to find the value of x. -6x - 2(-1) = 26. You're left with 4. Plug both of the values into each equation to double check.
Answer:
Step-by-step explanation:
Area is half base × height
If area = 140 and height = 20 inches
base =140 ÷ 20 = 7 × 2 = 14 inches
Answer:
Step-by-step explanation:
Your exponential formula is in the form y = ab^x. In this form, the coefficient 'a' is the initial value, the y-intercept, the value when x=0. The value 'b' is the growth factor, which is 1 more than the growth rate per increment of x. This problem is asking for the growth rate to be expressed as a percentage.
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Given p(x) = 78500(1.02^x), we can compare to the exponential function form to see that ...
- a = 78,500
- b = 1.02 = 1 +0.02 = 1 +2%
The value of x is zero in the year 2000, so the population that year is ...
p(0) = a = 78,500
The increase per year is the value of 'b' with 1 subtracted:
growth rate = 2% per year
