To find the slope, we need two points that are located on this line.
The following two points are on this line: (0,-4) and (3,1).
Let m = slope
m = (1 -(-4))/(3-0)
m = (1 + 4)/3
m = 5/3
The slope is 5/3.
Answer:
A, B, C
Step-by-step explanation:
You are given one side congruent to its corresponding side, so eliminating postulates that require 2 sides: HL, SAS.
You are given all three angles congruent and one side (the hypotenuse), so any of these can be used:
AAS, HA, ASA
Drawing a diagonal means to connect a vertex with another non-adjacent vertex.
So, for each vertex, we have 8-3=5 possible diagonals. This leads to a total of 8*5=40 diagonals.
We have to divide this number by 2 though, because in this way we're counting each diagonal twice (connecting points AB or BA gives the same diagonal).
So, an 8 sided shape has 20 diagonals.
Answer:
3rd option - 14 m²
Step-by-step explanation:
First we know that the square's area will be 2×2 = 4
To calculate the area of a triangle we know the vertical height is 2.5 and the base length is 2 so we can use the formula b×h/2 to give the area of one triangle:
2.5×2 = 5
5÷2 = 2.5
So the area of 1 triangle is 2.5 m²
Since there are 4 triangles we multiply the area of 1 traingle by 4:
2.5×4 = 10
We add the area of the 4 triangles to the area of the square to give our final answer of :
10 + 4 = 14
14 m²
Answer:
An expression equivalent to 5 (x + 10) is <em>5x + 50.</em>