Answer:
Since it's a right angled triangle
Hypotenuse = h
h² = 7²+24²
h= √49 + 576
h = √625
h= 25
Therefore hypotenuse is 25
Hope this helps.
Answer:
C. 6.8, because |6.8|= 6.8
Step-by-step explanation:
The magnitude of a directed number is a property that turns the number to a positive of its value. Thus, the magnitude of a negative number equals its positive value. Examples:
Find the magnitude of the following numbers:
i. -20
ii. 10
iii. -5
iv. 2
The magnitudes of the numbers can be expressed as:
i. |-20| = 20
ii. |10| = 10
iii. |-5| = 5
iv. |2| = 2
Therefore, the magnitude of 6.8 = 6.8, because |6.8|= 6.8.
<h3>
Answer: x = 60</h3>
Work Shown:
a+x = 180
120+x = 180
x = 180-120
x = 60
Side note: angles 'a' and x are same side interior angles, which are supplementary whenever we have parallel lines like this.
6x + 2y = 18
2y = -6x + 18
y = -3x + 9
Answer:
The equation 'y = y + 1' represents NO SOLUTION.
Hence, option 'C' is true.
Step-by-step explanation:
a)
6a = 9a
subtract 9a from both sides
6a - 9a = 9a - 9a
-3a = 0
divide both sides by -3
-3a / -3 = 0/-3
Simplify
a = 0
b)
5x = 28
divide both sides by 5
5x/5 = 28/5
x = 28/5
c)
y = y + 1
subtract y from both sides
y - y = y+1-y
0 = 1
These sides are not equal, so
NO SOLUTION!
d)
y + 5 = 12
subtract 5 from both sides
y + 5 - 5 = 12 - 5
y = 7
Conclusion:
Therefore, the equation 'y = y + 1' represents NO SOLUTION.
Hence, option 'C' is true.
