Expand 8(5-r)/5=-2r as indicated: 40 - 8r
----------- = - 2r
5
Multiply both sides by 5, obtaining 40 - 8r = - 10r
Combine like terms: 40 = - 2r
Divide both sides by -2: -20 = r
The solution to 8(5-r)/5=-2r is -20. Verify this by subbing -20 for r in the given equation.
Answer:
64º and 116º
Step-by-step explanation:
x + (x - 52) = 1080
2x - 52 = 180
2x = 232
x = 116º
x - 52 = 64º
Properties of a rhombus:
1. the all sides are equal
2. opposite angles are equal
3. consecutive angles are supplementary
4. The diagonals bisect the angles.
5. The diagonals are perpendicular bisectors of each other.
==================================================
∵ abcd is <span>a rhombus:
</span>
<span>∴ ∠ abc = 2 ∠ebc = 2 * 36° = 72° ⇒⇒⇒ property number (4)
</span>
<span>∴ ∠ dab = 180 - ∠abc = 180° - 72° = 108° </span><span>⇒⇒⇒ property number (3)
</span>
∴ ∠ dae = 108°/2 = 54° <span>⇒⇒⇒ property number (4)
</span><span>
</span><span>
</span><span>See the attached figure.</span>
32 / (14 2/9) =
32 / (128/9) =
32 * 9 / 128 =
288 / 128 =
$ 2.25 per km
I think what may be confusing is the fact that they also list two three digit numbers with two decimal places each. Since the number is greater than 4.49 with only two digits, it can't be 4.5 since the tenths place is odd. Same goes for less than 4.71. So the only answer would be 4.6--two digits, even tenths place, greater than 4.49 and less than 4.71.
Just some logical thinking, I guess. I think they were trying to trick you on this one.
Good luck.