Answer:
x=17
Step-by-step explanation:
See those same little "triangles" on each right end of the horizontal lines? That means that the horizontal lines are parallel. And the vertical line that passes through both of them is called a transversal. Whenever we have that situation - where parallel lines are being intersected by a transversal - we can then know which angles are equal to each other using some postulates.
The angles with the given equations shown are corresponding angles. We know this because they are in the same matching corners created by the intersections. And by using the Corresponding Angles Postulate, which states that corresponding angles are congruent (or equal) we then know that 5x-25 and 3x+9 must be equal to each other, too.
From there, we can set up an equation to find x. Just set them equal to each other like so and solve:
Therefore, x = 17. Please don't hesitate to ask any questions!
Answer:
Step-by-step explanation:
x- axis is 2 units away
Answer:
Step by step explanation:
Let d represent the rate of temperature decrease in degrees Celsius per day from Monday to Thursday.
As temperature decreased at a constant rate in the next 3 days, so the rate of temperature will decrease 3d degree Celsius in 3 days.
We are told that the pool was open on Monday. The high temperature was 
on Monday. So the decrease in temperature from Monday to Thursday will be 
.
We have been given that the swimming pool is open when the high temperature is higher than 
.
As the pool was closed on Thursday. This means that temperature on Thursday was less than or equal to 20 degree Celsius. We can represent this information in an inequality as:
Therefore, the inequality can be used to determine the rate of temperature decrease in degrees Celsius per day, d, from Monday to Thursday.
Step-by-step explanation:
First, we want to find profit given revenue and cost. Because profit = revenue - cost, we can write the profit function, P(x), as R(x) - C(x) and go from there.
P(x) = R(x) - C(x)
P(x) = (-x²+24x) - ( 10x + 30)
P(x) = -x²+24x - 10x-30
P(x) = -x²+14x-30
In a quadratic function such as this, the graph opens downward (meaning that it goes from up to down) if the leading coefficient is negative and vice versa. Here, since -1 is attached to x², we can say that the graph opens downward. The point where the direction of the slope changes (when it goes from up to down), or the peak of the quadratic, is called the vertex.
The x value of the vertex is given by -b/(2a) in a quadratic of form ax²+bx+c. As a=-1 and b=14 here, we can say that -b/(2a) =
-14/(2*-1) = -14/-2
= 7
Therefore, the x value of the vertex, or the number of containers sold that maximizes profit, is 7.
It doesn’t look like an isosceles angle though- you can tell the legs aren’t congruent and just by looking at they way the 90 degree angle indication is split up
I might be wrong
