Answer:
x = 52 degrees.
Step-by-step explanation:
Here we make use of the fact that the interior angles of any triangle add up to 180 degrees. Before this we must find an algebraic expression for interior angle RQS:
Since angle RQS + x + 72 = 180 degrees, angle RQS is equal to 180 -72 - x, or 108 - x.
The sum of the three interior angles is then
108 - x + 90 + 34, or 232 - x degrees, and this sum must equal 180 degrees.
Then 232 - x = 180. Solving for x, we get x = 52 degrees.
Answer:
r≈12.89
Step-by-step explanation:
Using the formula
C=2πr
Solving for r
r=C
2π=81
2·π≈12.89155
Answer:
3 1/5 ft
Step-by-step explanation:
We can set up a proportion:
, where x is how long the pants are in real life
Cross multiply:
x = (2 2/7) * (1 2/5)
It's easier if we have improper fractions, so convert the mixed numbers into improper fractions:
2 2/7 = 16/7
1 2/5 = 7/5
Now, put these back in:
x = (16/7) * (7/5) = 16/5 = 3 1/5
Thus, in real life, the pants would be 3 1/5 ft long.
Hope this helps!
Answer:
(-2, 4.111)
(-1, 4.333...)
(0,5)
(1, 7)
Step-by-step explanation:
So for this, you just substitute x with a cero to obtain the x-axis.
So, (0,5)
Then, you do the same with other numbers (replace x) and get the points to later graph it.
Also, you can use desmos, it really helps
Set up a system of equations:
s = 2d - 5
s + d = 43
Where 's' represents the number of points Stilt scored and 'd' represents the number of points Dunk scored.
Plug in 2d - 5 for 's' in the 2nd equation:
s + d = 43
2d - 5 + d = 43
Combine like terms:
3d - 5 = 43
Add 5 to both sides:
3d = 48
Divide 3 to both sides:
d = 16
Plug this back into any of the two equations to find 's':
s + d = 43
s + 16 = 43
Subtract 16 to both sides:
s = 27
So Dunk scored 16 points and Stilt scored 27 points.
