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
Answer:
it is
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
In the bag there are left 6 marbles: 3 red marbles + 3 blue marbles
Chances to get a blue marble = 3/6 = 0.5 = 50%
When the velocity goes from 40km/h to 20 km/h, the kinetic energy decreases by a factor of 4.
<h3>
What happens to the kinetic energy?</h3>
We know that the kinetic energy depends of the square of the velocity. Thus, if we decrease the velocity from 40km/h to 20km/h, then the kinetic energy decreases.
Remember that the kinetic energy is:
K = (m/2)*v²
Where m is the mass.
The initial kinetic energy is:
K = (m/2)*(40km/h)²
The final kinetic energy is:
K' = (m/2)*(20km/h)²
The quotient gives:
K/K' = [ (m/2)*(40km/h)²]/[ (m/2)*(20km/h)²]
K/K' = (40km/h)²/(20km/h)² = 4
So the kinetic energy decreases by a factor of 4.
Learn more about kinetic energy:
brainly.com/question/25959744
#SPJ1
Let h be the height of the triangle. With this the base may be represented as 7h - 2. The area of the triangle is half the product of its base and height. Therefore,
A = (1/2)bh = (1/2)(7h - 2)h
Substitute to the equation the value of h,
A = (1/2)((7)(14 cm) - 2)(14 cm)
A = 672 cm²