Answer:
U can determine that lines e and f are not parallel
Step-by-step explanation:
By remembering vertical angles, u can find all the angles for the diagram. The top are: 110, 70, 70, 110. The bottom four are: 105, 75, 75, 105. As u can see they're not the same so the lines cannot be parallel
The first thing we will do is assume that the prism is square based.
We have then that the edges of the base are:
P = 4L
P = 4 (8)
P = 32 cm
The edges of the top of the prism are:
P = 4L
P = 4 (8)
P = 32 cm
The edges of the prism height are:
P = 4h
P = 4 (11)
P = 44 cm
The total sum will be:
Pt = 32 + 32 + 44
Pt = 108 cm
Answer:
the sum of all edges is:
Pt = 108 cm
Answer:
d. ∆UVW ∼ ∆UWT ∼ ∆WVT
Step-by-step explanation:
Two triangles are similar if the corresponding angle are congruent and if the ratio of the corresponding sides are proportional.
The logic is in three scenarios. The Cases that lead to similarities in a triangle can be expressed as follows
i. If two sides of a triangle are in the same ratio to the corresponding side of another triangle and the included angle are the same.
ii. If the three corresponding sides are in the same ratio then the triangles are similar.
iii. Also if the angles are of a triangle is congruent to the corresponding angles of another triangles they are similar.
You have to subtract both sides by 64 and you will get,
-50 = 5z. Then divide both sides by 5, and you get -10 = z.
Answer:
B. x^3 + 3x^2
Step-by-step explanation:
Volume of a rectangular prism=width * length * height
V=w*l*h
h=3 greater than the length of the base
h=x+3
Length of the base=x
Width=x
Substituting values into the formula
V=w*l*h
=(x)*(x)*(x+3)
Multiplying
=(x^2)(x+3)
=x^3 + 3x^2
Option B is the correct answer
