12 -3 × 2.25 = 12.00 - 6.75 = 5.25 feet ;
Answer:
x ≈4.244833711
Step-by-step explanation:
x^2=7^2+8^2-2(7)(8)(cos32)
Determine the powers
x^2=49+64-2(7)(8)(cos32)
Multiply from left to right
x^2 = 49+64 - 112cos32
x^2 = 49+64 - 94.98138677
Add and subtract
x^2 =113-94.98138677
x^2 = 18.01861323
Take the square root of each side
sqrt(x^2) = sqrt(18.01861323)
x = sqrt(18.01861323)
x ≈4.244833711
x^2 =113
C= 2
...................................
So you subtract $22.89 from $54.73 to get a total of $31.84 and that’s how much the customer paid.
Answer:
x = 16
Step-by-step explanation:
The diagram can be misleading because angle A does not correspond to angle F. Rather angle F corresponds to angle C.
In congruent triangles, corresponding angles have the same measure. The sum of angles is always 180°, so we have ...
... m∠A +m∠B +m∠C = 180°
... (3x+6)° +50° +(9x -68)° = 180°
... 12x -12 = 180 . . . . . divide by °, collect terms
... x -1 = 15 . . . . . . . . . .divide by the coefficient of x
... x = 16 . . . . . . . . . . . add 1
_____
<em>Check</em>
m∠A = (3x+6)° = 54°
m∠C = (9x -68)° = 76°
The total of angles is 54° +50° +76° = 180°. . . . . as it should be
