Answer:
x=16
Step-by-step explanation:
We are given that

we have to solve this equation for x
in order to do that we need to isolate x first
hence
subtracting 11 from both sides we get


Now we square on both sides we get



hence x =16
Answer:
7
Step-by-step explanation:
(11 + 33 - 16) / (8 - 4)
(44 - 16) / (4)
28/4
7
Because this is a triangle, all three angles put together equals 180 degrees.
We can add the angles together and set them equal to 180 to solve for the value of y.
y + y - 12 + 56 = 180
Combine like terms.
2y + 44 = 180
Subtract 44 from both sides.
2y = 136
Divide both sides by 2.
y = 68
<u>The value of y is equal to 68 degrees.</u>
Answer:
9 Signs
Step-by-step explanation:
The hiking trail is 4 kilometer long.
Signs are placed at the beginning and at the end of the trail.
4km = 4000m
We can solve this using simple arithmetic progression.
- The first term,a= 0
- The common difference,d= 500.
- The last term,l= 4000.
Therefore:
Last term, l=a+(n-1)d
4000=0+500(n-1)
4000=500n-500
4000+500=500n
4500=500n
Divide both sides by 500
n=9
Therefore, there are a total of 9 signs on the entire trail.
CHECK
The signs are placed at this marks
0m,500m,1000m,1500m,2000m,2500m,3000m,3500m and 4000m