Answer:
13° , 29° , 138°
Step-by-step explanation:
let x be the smallest angle , then
2x + 3 is the middle angle and
2x + 3 + 109 is the largest angle
summing the 3 angles and equating to 180
x + 2x + 3 + 2x + 3 + 109 = 180 , that is
5x + 115 = 180 ( subtract 115 from 180 )
5x = 65 ( divide both sides by 5
x = 13
2x + 3 = 2(13) + 3 = 26 + 3 = 29
2x + 3 + 109 = 29 + 109 = 138
the 3 angles are 13° , 29° , 138°
Answer:
B. 8
Explanation:
The figure forms a septagon.
The hexagons form the base, and the rectangles attached to them form the sides.
Therefore, in total the solid has two hexagons as sides and 6 rectangles connecting the hexagon to the base hexagon. Hence, in total the solid has
2 + 6 = 8 faces.
1. I would call quadrants i, ii, iii, iv as a, b, c, d
<span>2.Which type of variables are usually on the y-axis and represent output?
</span>they usually are the dependent variables, that is, they depend on the x value, such as velocity, price, income.
3.Which type of variables are usually on the x-axis and represent input?
those are the independent variables such as time, distance, price.
<span>4.Which type of slope is represented on a graph as a horizontal line? </span>
the slope of an horizontal line is zero.
<span>5.Find the slope of 2x + 4y = 12
</span>the general form of the line is:
4y = - 2x + 12
y = -(1/2)x + 3
hence the slope is -1/2
Answer:
Number of sodas sold: 78
Number of hot dogs sold: 24
Step-by-step explanation:
Number of sodas sold = x
Number of hot dogs sold = x - 54
Total number of sodas and hot dogs = x + x - 54 = 2x - 54
Total number = 102
2x - 54 = 102
2x = 156
x = 78
Number of sodas sold = x = 78
Number of hot dogs sold = x - 54 = 78 - 54 = 24
Answer:
Number of sodas sold: 78
Number of hot dogs sold: 24
The angle measures are 60, 60, 60