Answer:
1. d < 10
Step-by-step explanation:
Hi there !
8 > d - 2 | +2
8 + 2 > d - 2 + 2
10 > d
d < 10
Good luck !
Answer:
Step-by-step explanation:
to solve this problem we can use the Pythagorean theorem
UT and TL are the legs, while LU is the hypotenuse
We have to find LU so we can proceed like this
x^2 + (x+1)^2 = LU^2
x^2 + x^2 + 1 + 2x = LU^2
2x^2 + 2x + 1 = LU^2
LU = +/- 
we have to take only the positive value because a length can’t be negative.
2x^2 + 2x + 1 is positive for every value of x, so the final answer is

Answer:
3x - 14 < 3x - 15
-14 < -15
never true
Step-by-step explanation:
The correct answer to this question is 4.
In order to solve this problem, first make an image on your mind how the image is dilated.
The coordinate points at first is (1.5, 2.0). After dilation from the origin, the points became (6.0, 8.0)
Looking at it in fraction form, (new / old) we have
6.0 / 1.5 = 4.0
8.0 / 2.0 = 4.0
The quotient of each fraction yields to 4.0. This means that a = 4.