Answer:
The measures of the angles are 85 and 95 degrees each.
Step-by-step explanation:
Two angles are supplementary when they add up to 180 degrees.
Therefore, set up an equation and solve for the variable x in the first place.
(8x-3)+(7x+18)=180
8x-3+7x+18=180
8x+7x-3+18=180
15x-3+18=180
15x+15=180
15x=165
x=165/15
x=11
Angle 8x-3=8(11)-3=88-3=85.
Angle 7x+18=7(11)+18=77+18=95.
The description expresses three points which can be used for a standard form equation. The vertex is stated to be (0,0) and is a maximum; two other points are (-21,-74) and (21,-74)
The equation for vertex form of a parabola:
y=a(x-h)^2+k
vertex (h,k)
thus our equation will be:
y=a(x-0)^2+0
thus
y=ax^2
using one of the points, the value of a will be:
-74=a(21)^2
a=-74/441
thus the equation will be:
y=-74/441x²
The greatest common factor is 2
Answer:
3/4 kg of sphagetti each
Step-by-step explanation:
The amount each family can take home, if the kg of sphagetti is divided equally is calculated as:
Kg of sphagetti left/Number of families
= 4 1/2kg/6
= 9/2 ÷ 6
= 9/2 × 1/6
= 9/12
= 3/4 kg
Hence, each family can take home 3/4 kg of sphagetti each.
0,1,2,3,4,5,6,7,8,9
Step-by-step explanation:
so easy
