Answer:
10+5=15 sow longer trail is 15
Answer: Choice C
The solution is ![z \ge 8](https://tex.z-dn.net/?f=z%20%5Cge%208)
The graph has an closed filled in circle at 8 on the number line, with shading to the right of that closed circle.
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Explanation:
![-4z \le -32](https://tex.z-dn.net/?f=-4z%20%5Cle%20-32)
see note below
![z \ge 8](https://tex.z-dn.net/?f=z%20%5Cge%208)
note: I divided both sides by -4 to undo the multiplication done to z; the inequality sign flips because we divided both sides by a negative number
So the solution set is the set of z values such that z is 8 or larger. We are including the endpoint 8 so we use a filled in closed circle (not an open circle or hole). We include the endpoint because of the "or equal to" as part of ht inequality sign.
Answer:
slope is 7
Step-by-step explanation:
the rate of change is the slope
in the general equation y = mx + b
x and y are point coordinates (x,y)
b is the y intercept
m is the slope
this is the rate at which the points are changing essentially
a larger slope will produce a steeper line
a negative slope will produce a line pointed downward
a smaller slope will produce a flatter line
The <em><u>correct answer</u></em> is:
∠NEG
Explanation:
An exterior angle is one outside the triangle that is formed by extending two of the sides of the triangle. Angle NEG is formed by extending EG and EF; this makes it an exterior angle.
Answer:
2a. ![54cm^2](https://tex.z-dn.net/?f=54cm%5E2)
2b. 78![cm^2](https://tex.z-dn.net/?f=cm%5E2)
Step-by-step explanation:
For 2a, all the squares are similar and this shape forms a cube. Count the boxes for the length and width for 1 square to find the dimensions 3 for the width and 3 for the length. Find the area of that square by doing length*width which in this case is 3 x 3 = 9. Then multiply 9 x 6 because there are 6 squares and get an answer of 54
.
For 2b, we know the dimensions for the rectangle 5cm will be the longer side and 3cm will be the shorter side. Find the area of one rectangle using length*width. For one rectangle we get 5 x 3 = 15. Next, we know the square will have sides of 3cm. Do length*width to get the area of one square which is equal to 9. Now that we have the areas for the squares and rectangles, multiply 15 (the area of one rectangle) by 4 because there are 4 similar rectangles. After doing this we get 60. Next do the same thing with squares but multiply by 2 because there are 2 squares. After doing this we get 60 + 18 for the surface area of the figure. 60 + 18 = 78.