3 11/15 cm
<h3>Step-by-step explanation:</h3>AE is the angle bisector of ∠A, so divides the sides of the triangle into a proportion:
... BE:CE = BA:CA = 7:8
Then ...
... BE:BC = 7 : (7+8) = 7:15
ΔDBE ~ ΔABC, so DE = 7/15 × AC
... DE = 7/15 × 8 cm = (56/15) cm
... DE = 3 11/15 cm
The solution of the absolute inequality |y + 8| ≤ 2 is -10 ≤ y ≤ -6
<h3>What is an equation?</h3>An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Given the equation:
|y + 8| ≤ 2
Hence:
y + 8 ≤ 2; and -(y + 8) ≤ 2
y ≤ -6 and y ≥ -10
The solution of the absolute inequality |y + 8| ≤ 2 is -10 ≤ y ≤ -6
Find out more on equation at: brainly.com/question/2972832
#SPJ1
