<h3>Explanation:</h3>
1. PQ║TS, PQ ≅ TS, PT and QS are transversals to the parallel lines . . . given
2. ∠P ≅ ∠T . . . alternate interior angles at PT
3. ∠Q ≅ ∠S . . . alternate interior angles at QS
4. ΔPQR ≅ ΔTSR . . . ASA postulate
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You can use any pair of angles together with the sides PQ and TS. If you use the vertical angles and one of ∠T or ∠S, then you must invoke the AAS postulate for congruence, as the side is not between the two angles.
Answer:
Hello,
c) 720
Step-by-step explanation:
consonants : 5
5 x 4 x 3 x 2 x 1 = 120
other letters : 3
3 x 2 x 1 = 6
and 6 x 120 = 720
720 arrangements here
Answer:
C=$(4.30xy+5.40(xz+yz))
Step-by-step explanation:
Surface Area of a Cuboid=2(LW+LH+HW)
Since the top is open
Surface Area = LW+2(LH+HW)
If Length = x feet,
Width =y feet
Height = z feet
Surface Area = xy+2(xz+yz)
Area of the base=xy
If it costs $4.30 per square foot to build the base
Cost of the base=Cost Per Square Foot X Area = $4.30xy
Area of the sides =2(xz+yz)
If it costs $2.70 per square foot to build the sides
Cost of the sides=Cost Per Square Foot X Area of the sides
= 2.70 X 2(xz+yz)
=5.40(xz+yz)
Cost of Constructing the Box = Cost of Constructing the Base + Cost of Constructing the Sides.
Therefore,
C=$(4.30xy+5.40(xz+yz))
