The initial statement is: QS = SU (1)
QR = TU (2)
We have to probe that: RS = ST
Take the expression (1): QS = SU
We multiply both sides by R (QS)R = (SU)R
But (QS)R = S(QR) Then: S(QR) = (SU)R (3)
From the expression (2): QR = TU. Then, substituting it in to expression (3):
S(TU) = (SU)R (4)
But S(TU) = (ST)U and (SU)R = (RS)U
Then, the expression (4) can be re-written as:
(ST)U = (RS)U
Eliminating U from both sides you have: (ST) = (RS) The proof is done.
Answer:
C is the answer
Step-by-step explanation:
Find the area of the whole circle, r=12cm
=pie× radius sq
=3.14×12×12
=<u>452.16cm sq</u>
The are of the smaller circle, r=6cm
=same formula
=3.14×6×6
=<u>113.04cm sq</u>
<u>Subtract</u><u> </u><u>them</u><u> </u><u>to</u><u> </u><u>find</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>shaded</u><u> </u><u>region</u><u> </u>
452.16 - 113.04
=339.12
<em>Closest</em><em> </em><em>is</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>339</em><em> </em><em>cm</em><em> </em><em>sq</em><em> </em><em>which</em><em> </em><em>is</em><em> </em><em>c</em>
<em>Hope</em><em> </em><em>it's</em><em> </em><em>helpful</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em> </em>
The correct answer is option B which is the volume of the prism is 216 km³.
<h3>What is the volume of the prism?</h3>
A prism is a three-dimensional solid with a triangular base called a triangular prism. The volume of the triangular prism is equal to the product of the area of the base and the height of the prism.
The volume of the prism will be calculated by using the formula below:-
V = Area of the base x Height
Since the base is a right-angle triangle so we will calculate the area of the right-angle triangle.
V = Area of the triangle x Height
V = ( 1/2 ) x 8 x 6 x ( 9 )
V = 216 km²
Therefore the correct answer is option B which is the volume of the prism is 216 km³.
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Noah is correct!!!! 20/45 simplified is 4/9. hope this helps!
