For me, it’s easiest when i distribute the negative sign if i need to and then reorder to put the like terms together. and then solve.
(also sorry if it’s a little confusing with all the parentheses, i use them because it helps me organize everything)
21. (4x-9y) + (6x+10) + (8y-4)
= 4x + 6x - 9y + 8y + 10 - 4
= 10x - y + 6
—> D
22. (6x+9y-15) + (2x-9y+8)
= 6x + 2x + 9y - 9y - 15 + 8 (the 9y - 9y = 0, so you can leave it out of the final equation)
= 8x - 7
—> D
23. (9x^2-8x+3) - (5x^2-6x+4)
= 9x^2 - 8x + 3 - 5x^2 -(-6x) - 4
= 9x^2 - 5x^2 - 8x + 6x + 3 - 4 (remember that two - signs next to each other make a + sign)
= 4x^2 - 2x - 1
—> A
24. (9x^3-7x+8) - (5x^2+7x-10)
= 9x^3 - 7x + 8 - 5x^2 - 7x -(-10)
= 9x^3 - 5x^2 - 7x - 7x + 8 + 10
= 9x^3 - 5x^2 - 14x + 18
—> D
25. (6x+14y) - ((7x+5y) + (x-8y))
= (6x+14y) - (7x + x + 5y - 8y)
= (6x+14y) - (8x-3y)
= 6x + 14y - 8x -(-3y)
= 6x - 8x + 14y + 3y
= -2x + 17y
—> B
Answer:
C) ∠3 and ∠6 is the CORRECT OPTION.
Step-by-step explanation:
Here, the image is UNATTACHED. Attaching image here for the reference.
Given: JL and MP are parallel.
Alternate Interior angles is a pair of angles formed when there is a common intersecting line between two parallel lines.
As JL and MP are parallel.
and KN is a traversal. So, the pair of Alternate Interior angles so formed are:
a) ∠3 and ∠6
b) ∠4 and ∠5
Now, out of the given options:
A. ∠3 and ∠4 is a LINEAR PAIR
B. ∠1 and ∠6 makes no pair
C. ∠3 and ∠ 6 is a Alternate Interior angles pair
D. ∠5 and ∠6 LINEAR PAIR
Hence, ∠3 and ∠ 6 is a Alternate Interior angles pair.
Answer: 1/4 of 70,000,000
Step-by-step explanation: 17,500,000 / 70,000,000 = 0.25
Answer: 14° (APEX)
Step-by-step explanation:
Answer:
= 3 -1.202
Step-by-step explanation:
