Angles 1 and 8 are created by line t intersecting with line m.
Line t is called a transversal line, because it intersects 2 parallel lines.
t divides the straight angle formed by m alone, forming the linear pair of angles (1) and (8), whose sum is 180 °, that is they are supplementary.
Answer: (1) and (8) are linear pairs
Distribute 5 using the Distributive Property:
5(x+24)
Multiply 5 by x:
5x
Multiply 5 by 24:
120
Now, add the products:
5x+120 (Answer)
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Answer:
72 cubes
Step-by-step explanation:
Top view of the rectangular prism shows the unit cubes arranged in two rows along the length.
In each row number of unit cubes arranged = 9
Right view side of the prism shows the unit cubes arranged in two columns.
Number of unit cubes in each column = 4
Total number of cubes arranged in the prism = (Number of cubes in each row × Number of cubes arranged in two columns) × Number of columns
= (9 × 4) × 2
= 72
Therefore, number of cubes filled completely in the prism with no gaps = 72
Answer:
x=3
Step-by-step explanation:
12x-14=4x+10
Subtract 4x from each side
12x-4x-14=4x-4x+10
8x - 14 = 10
Add 14 to each side
8x - 14+14 = 10+14
8x = 24
Divide each side by 8
8x/8 = 24/8
x = 3
