Step-by-step explanation:
2. 10x - 3 + 2x - 5 and 4(3x - 2)
10x - 3 + 2x - 5
Upon simplifying;
10x + 2x - 3 - 5
12x - 8
4(3x - 2)
12x - 8
Both expressions are equivalent - Yes!
3. 3y + 3 and 9(y + 1/3)
9(y + 1/3)
upon simplifying;
9y + 9 (1/3)
9y + 3
3y + 3
Both expressions are not equivalent - No!
4. 6(3x + 1) and 9x + 6 + 9x
6(3x + 1)
upon simplifying;
6(3x) + 6 (1)
18x + 6
9x + 6 + 9x
Upon simplifying;
9x + 9x + 6
18x + 6
Both expressions are equivalent - Yes!
Answer:
I think you multiply 4 by 5 ft
Answer:
B = 45°
BC = 14 km
AB = 14√2 km ≈ 19.80 km
Step-by-step explanation:
If one acute angle (A) of a right triangle is 45°, then the other one is also:
... 180° -90° -45° = 45°
The sides opposite these congruent angles are the same length, 14 km in this case, and the hypotenuse is found from the Pythagorean theorem to be √2 times either leg length.
... AB² = AC² +BC²
... AB = √(AC² +BC²) = (14 km)√(1² +1²) = 14√2 km