Answer:4
,
5
)
Step-by-step explanation:
See a solution process below:
Explanation:
First, subtract
3
from each segment of the system of inequalities to isolate the
x
term while keeping the system balanced:
−
3
−
12
<
−
3
+
3
−
3
x
≤
−
3
+
15
−
15
<
0
−
3
x
≤
12
−
15
<
−
3
x
≤
12
Now, divide each segment by
−
3
to solve for
x
while keeping the system balanced. However, because we are multiplying or dividing inequalities by a negative number we must reverse the inequality operators:
−
15
−
3
>
−
3
x
−
3
≥
12
−
3
5
>
−
3
x
−
3
≥
−
4
5
>
x
≥
−
4
Or
x
<
5
and
x
≥
−
4
Or, in interval notation:
[
−
4
,
5
)
Answer:
The Pythagorean Theorem is a statement about triangles containing a right angle. The Pythagorean Theorem states that: "The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides."
Step-by-step explanation:
Answer:
B 10.8 or
A 9.2 depending on what side of the triangle is "x".
Step-by-step explanation:
we cannot see the triangle and which side is which. you forgot to show us the picture (or describe it in more detail).
but I assume that "x" would be the Hypotenuse (the baseline of the right triangle, the side opposite of the 90 degree angle).
then by using Pythagoras
c² = a² + b²
=>
x² = 10² + 4² = 116
x = sqrt(116) = 10.8
but if x is any of the other sides (and not the Hypotenuse), then you need to adapt the calculation.
for example, if the Hypotenuse is the side with 10, then Pythagoras' formula would look like this
10² = x² + 4²
x² = 10² - 4² = 84
x = sqrt(84) = 9.2 (and answer A would be correct).
or if the Hypotenuse is the side with 4, then
4² = x² + 10²
x² = 4² - 10² = -84
x = sqrt(-84)
and that did not make any sense for real distances. so, this configuration is actually impossible for a right triangle.
I'm assuming you meant shirts instead of shorts for the older brother.
1/6 + 3/6 = 4/6
4/6 of the shirts belong to his brothers
(or 2/3 if you simplify the fraction)