The answer to this question is 2.048
Answer:
Step-by-step explanation:
The interior is a parallelogram when adjacent angles are supplementary. This requires ...
(x -30)° + (x +50)° = 180°
2x + 20 = 180 . . . . . . . . . . . collect terms, divide by °
2x = 160 . . . . . . . . . . . . . . . subtract 20
x = 80 . . . . . . . . . . . . . . . . . divide by 2
Then the angle x+50 is ...
(x +50)° = (80 +50)° = 130°
This is also the measure of the angle marked y.
For the lines to be parallel, x = 80, y = 130°.
Answer:
87.5 square inches
Step-by-step explanation:
The belt knuckle as shown in the diagram above consist of a 4 rectangles (2 are the of the same dimension, the other two are of the same direction differently) and a rectangle.
Area of the belt knuckle = area of the 4 triangles + area of the rectangle
✔️Area of the 2 rectangles with the following dimensions:
base (b) = 9 inches
height (h) = 2.5 inches
Area of the two triangles = 2(½*b*h)
= 2(½*9*2.5)
= 22.5 inches²
✔️Area of the 2 rectangles with the following dimensions:
base (b) = 4 inches
height (h) = 5 inches
Area of the two triangles = 2(½*b*h)
= 2(½*4*5)
= 20 inches²
✔️Area of the rectangle = l*w
l = 9 inches
w = 5 inches
Area = 9*5 = 45 inches²
✔️Area of the belt knuckle = 22.5 + 20 + 45 = 87.5 square inches
Answer:
26 = G. 27 = A. 28 = J
Step-by-step explanation:
26} A Nickle = 5 cents. A Dime = 10 Cents.
Way #1: 5+5+5+5+5+5 = 30
Way #2: 10 + 10 + 10 = 30
Way #3: 10 + 5 + 5 + 5 + 5 = 30
Way #4: 10+ 10+ 5 + 5 = 30
27} Pennies = 1 Cent. Nickels = 5 Cents. Dimes = 10 cents.
Way #1: 1+1+1+1+1+5+ 10 = 20
28} Pennies = 1 Cent. Nickels = 5 Cents. Dimes = 10 Cents.
Way #1: 10+5+1+1 = 17
Way #2: 5+5+5+11 = 17
Way #3: 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1 = 17
Way #4: 1+1+1+1+1+1+1+10 = 17
Way #5: 5+1+1+1+1+1+1+1+1+1+1+1+1 = 17
