Answer:
Obviously only D is true
Note 2 x - 1 < 10 can be rewritten
2 X < 11 and
x < 5.5
So all of the values in the set would have to be less than 5.5
2K + 5 = 29
(2 x K) + 5 = 29
29 - 5 = 24
24 divided by 2 = 12 (This is K)
K = 12
(2 x 12) + 5 = 29
24 + 5 = 29
Answer: (a-b)-(2x+y)
Step-by-step explanation: The answer for number 18. (The first pair of parentheses are optional.)
The region is made up of
• a right triangle with short leg 10 m and hypotenuse 26 m
• a parallelogram with sides 40 m and 26 m (the 26-m side corresponds to the aforementioned hypotenuse)
• another triangle with two known legs of length 20 m and 26 m
Find the height of the right triangle using the Pythagorean theorem. If the height is h, then
(10 m)² + h² = (26 m)² ⇒ h² = 576 m² ⇒ h = 24 m
This height is common to all three shapes.
Now find the area of each shape.
• right triangle:
1/2 × (10 m) × (24 m) = 120 m²
• parallelogram:
(40 m) × (24 m) = 960 m²
• other triangle:
• 1/2 × (20 m) × (24 m) = 240 m²
Then the total area of the shaded region is 1320 m².
Answer:
A
Step-by-step explanation:
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