Answer: Choice D
By the hinge theorem, we know that the opposite side of the given angles will be larger as you increase the angle. Basically think of a door opening. The greater or wide the door is open, the larger the hinge angle leading to a larger distance from door to frame.
We see that angle G = 70 is larger than angle B = 28. So the opposite side HF must be larger than side AC
Note: the hinge theorem only works if we know two pairs of sides are congruent like this
Answer:
g(x) = -3*abs(x-1) + 3
Step-by-step explanation:
The graph got shifted over 1, so:
abs(x-1)
Flipped over x-axis:
-abs(x-1)
Scaled by a factor of 3, I just check the slope:
-3*abs(x-1)
Then finally shifted up 3:
-3*abs(x-1) + 3
I think it A... But if it not sorry I didn’t help... hope this is the answer I am sure it is...
The first three terms of sequence are 9 , 6 , 3
<em><u>Solution:</u></em>
Given the recursive function f(n) = f(n - 1) - 3
Where f(1) = 9
To find: First three terms of sequence
Substitute n = 2 , n = 3 and n = 4 in given recursive function
When n = 2
f(n) = f(n - 1) - 3
f(2) = f(2 - 1) - 3
f(2) = f(1) - 3
f(2) = 9 - 3 = 6
f(2) = 6
Thus second term is 6
When n = 3
f(3) = f( 3 - 1) - 3
f(3) = f(2) - 3
f(3) = 6 - 3 = 3
f(3) = 3
Thus the third term is 3
When n = 4
f(4) = f( 4 - 1) - 3
f(4) = f(3) - 3
f(4) = 3 - 3
f(4) = 0
Thus the fourth term is 0
Thus first three terms of sequence are 9 , 6 , 3
Answer:
31,692 inches
Step-by-step explanation:
The length that Marc travelled with his bike can be calculated by the product between the number of rotations of the tire and the circunference of the tire.
So, calculating the circunference of the tire, we have:
C = pi*diameter = pi*26 = 81.68 inches
If in each rotation of the tire, the length travelled is 81.68, the total length travelled is:
Length = number of rotations * C = 388 * 81.68 = 31,691.84 inches
Rounding to the nearest inch, we have Length = 31,692 inches