This question states that Lake Lopez began at a depth of 515 inches, then increased by 82 inches, then decreased by 119 inches. To model this, we will use addition for the increase and subtraction for the decrease; this will signify a positive/negative change in the depth. This can be modeled by the expression below:
515 + 82 - 119
597 - 119
478
Therefore, the water depth at the end of the summer was 478 inches.
Hope this helps!
<span>For the Vertical Angle theorem, if a slant line is intersected by a horizontal, the opposite angles must be equal. In here, he stated that the sum of angle 1 and angle 4 and the sum of angle 3 and angle 4 are each equal to 180 degrees. It means that the sum of angle 1 and angle 4 is equal to the sum of angle 3 and angle 4 by the transitive property of equality. </span>
In this item, we are not given with the figure but knowing that these lines ought to be perpendicular then we will be able to derive the relationship between the slopes of the line.
The slopes of the perpendicular line are the negative reciprocals of one another. If we represent the slopes of the lines as m₁ and m₂, the relationship can be written in the form,
(m₁)(m₂) = -1
We are given with one of the slopes. To determine the value of the second slope then,
m₂ = -1/m₁
m₂ = -1/(2/5)
m₂ = -5/2
<em>ANSWER: m₂ = -5/2</em>
|-5|-(-5)
The absolute value of any number is always positive
5-(-5)
When there is a in front of an expression in parentheses, change the sign of each term in the expression
5+5
Add the numbers
10
Answer=10
Answer:
The graph in the attached figure
Step-by-step explanation:
we have

Solve for x
Subtract x both sides


Adds 1 both sides


The solution is the interval -------> (3,∞)
All real numbers greater than 3
In a number line is the shaded area at right of x=3 (open circle)
see the attached figure