Step-by-step explanation:
24÷(45÷25)= 21
x=21
Hope this helped!
Step-by-step explanation:
3x + 10 < 3
3x + 7 < 0
3x < -7
x < -7/3 = -2.3333...
or
2x - 5 >= 5
2x >= 10
x >= 5
x < -7/3 or x >= 5
Answer with explanation:
The given statement is which we have to prove by the principal of Mathematical Induction

1.→For, n=1
L H S =2
R H S=1
2>1
L H S> R H S
So,the Statement is true for , n=1.
2.⇒Let the statement is true for, n=k.

---------------------------------------(1)
3⇒Now, we will prove that the mathematical statement is true for, n=k+1.

Hence it is true for, n=k+1.
So,we have proved the statement with the help of mathematical Induction, which is

I believe the answer is false.
explanation: a special triangle has side lengths of 3-4-5 or 6-8-10. In this case since you have 10 one of the other sides would have to be 6 or 8. You can use pythagorean theorem.
Answer:
2) Vertical translation of 10 units
Step-by-step explanation:
Given
H and H'
Required
Which maps H to H'
First, we pick the coordinate of any point on H

First, we pick a corresponding coordinate on H'

The above coordinates show that H and H' are not a reflection of one another because neither of the x or y coordinates negate one another.
By looking at the coordinates of H and H, we have:
H:
and H':
--- The same x coordinates
H:
and H':
--- Different y coordinates
The difference between the y coordinates is:





Hence,
<em>2) Vertical translation of 10 units
</em> is correct.