Step-by-step explanation:
Step-by-step explanation:
Let the width be x feet.
Therefore, length = 2x - 10
Perimeter of rectangle = 52
Answer:
h = 9 units of length
Step-by-step explanation:
Volume of a circular right cone is:
V(c) = (1/3)*Area of the circular base * h
Where h is the height of the cone, then
V(c) = (1/3) * π * r² * h
And we have that V(c) = 108*π
Then:
108 * π = (1/3) * π * r² * h (1)
We know diameter of the circular base is 12 units, according to that
r = d/2 ⇒ r = 12/2 r = 6 units
Then:
108 * π [ cubic units ] = (1/3) * π * (6)² * h [square units] [ units of length]
When simplifying we have to take into account that in order to keep last equation h needs to have units of length
Therefore:
108 = (1/3) * 36 * h
h = ( 108* 3 )/ 36
h = 9 units of length
Answer:
RST Is congruent to R’’S’’T’’
Angle R is congruent to angle R prime is congruent to angle R double-prime
TS Is congruent to T’S’ Is congruent to T’’S’’
Step-by-step explanation:
we know that
A reflection and a translation are rigid transformation that produce congruent figures
If two or more figures are congruent, then its corresponding sides and its corresponding angles are congruent
In this problem
Triangles RST, R'S'T and R''S''T'' are congruent
That means
Corresponding sides
RS≅R'S'≅R''S''
ST≅S'T'≅S''T''
RT≅R'T'≅R''T''
Corresponding angles
∠R≅∠R'≅∠R''
∠S≅∠S'≅∠S''
∠T≅∠T'≅∠T''
therefore
RST Is congruent to R’’S’’T’’
Angle R is congruent to angle R prime is congruent to angle R double-prime
TS Is congruent to T’S’ Is congruent to T’’S’’
