Maybe factoring it would be a model
Answer:
The total surface area of triangular pyramid is 172 cm squared
Step-by-step explanation:
Triangular pyramid:
- Number of faces 4.
- Number of vertices of a triangular pyramid is 6.
- The volume is
. A= area of the pyramid's base and H= height of the pyramid.
- The surface area of triangular pyramid B+L. B= area of base, L= area of lateral surface.
Given that, the area of the base is 43 cm squared. Lateral faces with bases of 10 cm and heights 8.6 cm.
The 3 sides of the triangular pyramid is triangle in shape.
The area of triangle is
.
The lateral surface area of the triangular pyramid is

cm squared
=129 cm squared
The total surface area of triangular pyramid is
=Area of the base + lateral surface area
=(43+129) cm squared
=172 cm squared
Answer:
For all the proofs you start with the given, and work you’re way down the problem.
1)
Statement Reasoning
LM=NO Given
∠LMO≅∠NOM. Given
OM=OM Reflexive Property of Equality
ΔLMO=ΔNOM SAS Congruence Postulate
2)
Statement Reasoning
∠A=∠D Given
CB bisects ∠ACD Given
CB=CB Reflexive Property of Equality
∠ACB=∠BCD Definition of Angle Bisector
∠ABC=∠CBD Definition of Angle Bisector
ΔABC=ΔDBC ASA Congruence Postulate
CA=CD Definition of Congruence
3)
Statement Reasoning
∠T=∠U Given
S is midpoint of TU Given
∠TSN=∠USH Vertical angles are congruent
TS=SU Definition of Midpoint
ΔTSN=ΔUSH ASA Congruence Postulate
SN=SH Definition of Congruent
Answer:
5 cakes
hope it helps
Step-by-step explanation:
if one cake feed 14 people and you are tying to fine out how many cakes you need to feed 60 people you would have to divide 60 by 14
1 cake = 14 people
? cakes = 60 people
60 ÷ 14 = 4.28
so in order to have enough for 60 people you need to round so you would need 5 cakes
to check you answer you can multiply 5 by 14 and you answer should be the amount of people
5 x 14 = 70
why cant it be 4? well because if you buy 4 cakes there wont be enough for 60 people and to make sure it wont be enough you can multiply 4 x 14
4 x 14 = 56
so 4 cakes only feeds 56 people so that is why your answer is 5 cakes are needed
What we know about this situation that either she will take less than 37 minutes:
r<37
or she will take more than 42 minutes
r>42
so it means that she cannot take between 37 and 42 minutes.
The best way to write it is:
37>r v r>42
where "v" means "or" in mathematical notation