Step-by-step explanation:
a < (a + b)/2 < b
Solve the first inequality.
a < (a + b)/2
2a < a + b
a < b
Solve the second inequality.
(a + b)/2 < b
a + b < 2b
a < b
Both inequalities are true. Therefore, a < (a + b)/2 < b.
Answer:
514 feet
Step-by-step explanation:
Just simply use the pythagorean thereom:
a^2 +b^2 = c^2
put in the values of a, b, and c with the side lengths of the triangle:
x feet, 64 feet, and x+4 feet
x^2 +64^2 = (x+4)^2 , thus x =510
the hypotenuse = x+4 feet = 510 + 4 = 514
ANSWER: 514 feet
It’s going to be 400 dollars, 20percent is 100 dollars
Answer:
2.0
Step-by-step explanation:
Subtract the smaller number from the larger to find their difference:
1.5 -(-0.5) = 2.0
The distance between the given values is 2.0.
Hey there!!
We know:- <em>Vertically opposite angles are equal. </em>
Hence,
Angle 1 = Angle 2
... 6x + 11 = 10x - 9
... 20 + 6x = 10x
... 20 = 4x
... x = 20 / 4
... x = 5
Angle 1 = 6x + 11
... 6 ( 5 ) + 11
... 30 + 11
... 41
<em>Hence, the measure of angle 1 is 41 degrees. </em>
Hope my answer helps!