Answer: 60
Step-by-step explanation:
The blank space can be filled with 60, as this is a simple problem of distributive property
Every child was given a orange cut into 8/8 pieces, Each child ate 5/8 pieces leaving 3/8 pieces each. How many kids were in their family. So each kid has 3/8 so you would add up 3/8 + 3/8 until you get a whole number of three. Or you can multiply the 3/8 by 8 or 8/1 (same thing) and get 24/8 slices which would simplify down to 3 full oranges, so there would be 8 kids because 8 x 3 = 24.
A i hope it helps each trial must have all outcomes classified into two categories
Answer:
The value of x is 24.
Step-by-step explanation:
Given information: In ΔGHE, ED is angle bisector, EG=44.8 millimeters, GD=(x+4) millimeters, DH=35 millimeters, and EH=56 millimeters.
According to the angle bisector theorem, an angle bisector divide the opposite side into two segments that are proportional to the other two sides of the triangle.
In ΔGHE, ED is angle bisector, By using angle bisector theorem, we get


Multiply both the sides by 35.


Subtract 4 from both the sides.


Therefore the value of x is 24.
Answer:
a < - 
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
For a polynomial to have 2 real roots
b² - 4ac > 0
Given
p(x) = (a + 1)x² + 2ax + (a + 2)
with a = a + 1, b = 2a and c = a + 2, then
(2a)² - 4(a + 1)(a + 2) > 0 ← expand and simplify left side
4a² - 4(a² + 3a + 2) > 0
4a² - 4a² - 12a - 8 > 0
- 12a - 8 > 0 ( add 8 to both sides )
- 12a > 8
Divide both sides by - 12, reversing the symbol as a result of dividing by a negative quantity
a <
, that is
a < - 