Answer:
B.
The solution of |2x + 8| > 6 includes all values that are less than –7 or greater than –1.
The solution of |2x + 8| < 6 includes all values that are greater than –7 and less than –1.
__
Step-by-step explanation:
You can find the solution by "unfolding" the absolute value, then dividing by 2 and subtracting 4:
-6 > 2x +8 > 6 . . . . . read this as -6 is less than 2x+8 or 2x+8 is greater than 6
-3 > x +4 > 3 . . . . . . .divide by 2
-7 > x > -1 . . . . . . . . . solution to the first inequality: x is less than -7 or greater than -1.
___
The solution to the other inequality is identical, except the direction of the comparison is reversed. It is read differently, because the segments overlap, rather than being disjoint.
-7 < x < -1 . . . . . . . . solution to the second inequality: x is greater than -7 and less than -1.
__
These descriptions match choice B.
No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95
<h3>How to form a linear equation</h3>
Let the time taken to play basketball be "x"
Let the time taken to play volleyball be "y"
According to the information given, Eric plays basketball and volleyball for a total of 95 minutes every day, then;
x + y = 95
If he plays basketball for 25 minutes long, then;
x = 25
The pair of linear equations that represents the statement are:
x + y = 95
x = 25
The time it takes Eric to play volleyball every day is expressed as:
y = 95 - x
y = 95 - 25
y = 70 minutes
No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95
Learn more on linear equations here: brainly.com/question/14323743
Answer:
∠ABC ≅ ∠XYZ
Step-by-step explanation:
Given: ΔABC is similar to ΔXYZ.
If two triangles are similar, then
1. the corresponding angles are congruent
2. the corresponding sides are proportional
From the options given,
AB ≅ XY is not applicable for similar triangles. Hence the option is wrong.
∠ABC ≅ ∠XYZ since ΔABC ≅ ΔXYZ
Hence the answer is ∠ABC ≅ ∠XYZ
Mixed number form: h = - 1 2/13 Hope that helps :))
Answer:
An event with probability 0 never occurs. An event with probability 1 occurs on every trial
Step-by-step explanation:
