Answer:
n < - 3 or n > - 2
Step-by-step explanation:
Inequalities of the type | x | > a , have solutions of the form
x < - a or x > a
Then
2n + 5 < - 1 or 2n + 5 > 1
Solve both inequalities
2n + 5 < - 1 ( subtract 5 from both sides )
2n < - 6 ( divide both sides by 2 )
n < - 3
OR
2n + 5 > 1 ( subtract 5 from both sides )
2n > - 4 ( divide both sides by 2 )
n > - 2
Solution is n < - 3 or n > - 2
For this translation, you need to replace every occurrence of "x" with "x-3", and every occurrence of "y" with "y+5".
She will use 42 purple beads.
Explanation
We will use a proportion to solve this.
The ratio of blue to purple beads is 4:3, or 4/3.
We know she uses 56 blue beads and an unknown amount, x, of purple beads. This gives us 56/x.
Together, we have
4/3 = 56/x
Cross multiply:
4*x = 3*56
4x = 168
Divide both sides by 4:
4x/4 = 168/4
x = 42
Answer:
Step-by-step explanation:
The complete question in the attached figure
we know that
The <u><em>Triangle Exterior Angle Theorem</em></u> states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles.
In this problem
solve for x
