Since the line stops at the point (6, 7), then it means that the height of the triangle made is 7 units and the base is 6 units long.
An angle, θ, is made at the line that joins the origin and the point (6, 7).


Hence,
Answer:
Here's what I get
Step-by-step explanation:
I plotted the triangles in the diagram below.
Part A
The scale factor for dilation is ½, because every coordinate has been halved.
P (8, 0) ⟶ P' (4, 0)
Q (6, 2) ⟶ Q' (3, 1)
R (-2, -4) ⟶ R' (-1, -2)
Part B
When you reflect a point (x, y) about the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,
P' (4,0) ⟶ P" (-4,0)
Q' (3,-1) ⟶ Q" (-3,-1)
R' (-1,-2) ⟶ R" (1,-2)
∆P"Q"R" has coordinates P" (-4,0), Q" (-3,-1), R"(1,-2).
Part C
∆PQR and ∆ P"Q"R" are not congruent, because corresponding sides are not equal.
Answer:
the next number is going to be46
Answer:
849.24 cm²
Step-by-step explanation:
we know it is a cube so to find the surface area of each square you do
12x12=144 and there are 5 sides so 144x5=720
We know sides of the squares are 12 cm so half of that (6) would be the bottom of the triangle
Now using pythagorus you would do a²+b²=c²
15²+6²=c²
225+36=c²
√261=√c²
16.15=c this only half of one of the sides of the pyramid so you would times 16.15 by 8 to equal 129.24
now add 720+129.24=849.24 cm²
12 x 2 is 24 because its 12 doubled.