Answer:
first option
Step-by-step explanation:
In a parallelogram consecutive angle are supplementary, sum to 180, so
2a + 122 = 180 ( subtract 122 from both sides )
2a = 58 ( divide both sides by 2 )
a = 29
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In a parallelogram the opposite sides are congruent, then
b + 6 = 10 ( subtract 6 from both sides )
b = 4
Answer:
m+1
Step-by-step explanation:
1/3(9 - 6m) + 1/4 (12m-8)
Distribute
1/3 *9 - 1/3 *6m + 1/4 * 12m - 1/4 *8
3 -2m + 3m -2
Combine like terms
-2m+3m +3-2
m+1
So 12/15 simplifies to 4/5, and if you multiply both sides by two you have 8/10 so i guess 2 ( and some extra )
Area of the shaded region = Area <span>of a square - Area of a circle
</span>
Side of a square = 2r
Area of a square = (2r)² = 4r²
Area of a circle = πr²
Area of the shaded region = 4r² - πr² = <span>r²(4-π)</span>