Answer:
Step-by-step explanation:
The inequality will be split into two
It is know that, if a<b<c
Then a<b and b<c
-8<2x-4<4
Apply that to this
Then,
-8<2x-4. Equation 1
Also,
2x-4<4 equation 2
Solving equation 1
-8<2x-4
Add 4 to both side of the equation
-8+4<2x-4+4
-4<2x
Divide both sides by 2
-4/2<2x/2
-2<x
Note, if a is less than b, then, b is greater than a, e.g. 4 is less than 10, this implies 10 is greater than 4
Therefore,
-2<x
Then, x greater than -2
Equation 2
2x-4<4
Add 4 to both side of the inequalities
2x-4+4<4+4
2x<8
Divide both side by 2
Then,
2x/2<8/2
x<4
Therefore x is between -2 and +4.
Check attachment for graphical solution
I think the fourth option is the answer. It wi give you the Side angle side postulate.
Translation:
5. A submarine is 420.5 m below sea level. The submarine dived 185.6 m deep and then climbed 200.9 m. Determine the new position of the submarine based on sea level.
Answer:
The height of the tree is Greater than 50 feet, so Iva’s house is not safe
Step-by-step explanation:
Find the height of the tree
Let
h ----> the height of the tree
we know that
The tangent of angle of 50 degrees is equal to divide the opposite side to the angle of 50 degrees (height of the tree) by the adjacent side to the angle of 50 degrees (tree’s distance from the house)
so
tan(50°)=h/50
h=(50)tan(50°)=59.6 ft
therefore
The height of the tree is Greater than 50 feet, so Iva’s house is not safe
Step-by-step explanation:
markup amount = 45% of $27
=> 45/100 * $27
=> $12.15
Now,
selling price = $27 + $12.15 => $39.15
