Answer:
k=4
Step-by-step explanation:
5-7k=-4(k+1)-3
Distribute
5-7k=-4k-4-3
Combine like terms
5-7k=-4k-7
Add 7k to each side
5-7k +7k = -4k+7k-7
5 = 3k-7
Add 7 to each side
5+7 = 3k-7+7
12 = 3k
Divide by 3
12/3 = 3k/3
4=k
Answer:
146 square meters
Step-by-step explanation:
We can split the figure into a 6 by 15 rectangle and a parallelogram (8 base, 7 height).
- The area of the rectangle is 6•15=90
- The area of the parallelogram is 8•7=56
- 90+56=146
The terminal side means that it's 16 to the right and 12 up. Which means that the triangle made from this has the sides of 16 and 12 and the hypotenuse is 20 units long. Theta, in this case, would have 16 as it's adjacent and 12 as it's opposite.
Therefore, using the Pythagorean identities:
<span>
</span>
Answer: x = 9
Step-by-step explanation:
15 / 20 = (2x + 3) / 28
cross multiply
15(28) = 20(2x + 3)
420 = 40x + 60
360 = 40x
x = 9