Answer:
m∠6 = 116°
Step-by-step explanation:
<u>first find x:</u>
7x - 17 = 2x + 78
subtract 2x from both sides: 5x - 17 = 78
add 17 to both sides: 5x = 95
divide by 5: x = 19
<u>plug x into 7x - 17</u>
7(19) - 17 = 116
∠6 and 7x - 17 are vertical angles and therefore congruent, so m∠6 also = 116°
Answer:
-7.14
Step-by-step explanation:
Evaluate
−4.2(−2.8 + 4.5)
Open parenthesis
(-4.2 * -2.8) + (-4.2 * 4.5)
= (11.76) + (- 18.9)
= 11.76 - 18.9
= -7.14
NOTE:
Negative (-) × negative (-) = positive (+)
Positive (+) × positive (+) = positive (+)
Negative (-) × positive (+) = negative (-)
Positive (+) × negative (-) = negative (-)
Answer:
A. 3.66 feet
Step-by-step explanation:
Using trigonometry, we know that ...
BC = DC·tan(30°)
AC = DC·tan(45°)
AB = AC -BC = DC(tan(45°) -tan(30°))
AB = 5√3·(1 -√3/3) = 5(√3 -1)
AB ≈ 3.66 . . . feet
1 Amberjack
Kingfish equals 2 Amberjacks
Marlin equals 2 Kingfish or 4 Amberjacks
Tarpon equals 5 AmberJacks
So:
1A plus 2A plus 4A plus 5A equals the 252.
(where A is weight of the AmberJack).
Therefore:
12A equals 252, and A is 21. (252/12 = 21)
Then:
The Amberjack is 21Ibs.
The Kingfish (twice as much as A) is 42Ibs.
The Marlin (four times A) is 84Ibs.
And the Tarpon (five times A) is 105Ibs.
To Check:
21 + 42 + 84 + 105 = 252
You need to find 7 1/2% of $29.95.
To do that, just multiply the percent by the number.
7 1/2% * $29.95 =
= 7.5% * $29.95
= 0.075 * $29.95
= $2.24625
The answer is $2.25
