Answer:
Step-by-step explanation:
It is given that the quadrilateral ABCD has AB ≅ CD and BC ≅ DA is a parallelogram, then in order to prove opposite angles of the parallelogram are equal, we take ΔABC and ΔADC,
AC=AC(Common)
AB=CD(given)
BC=AD(given)
Thus, by SSS rule, ΔABC ≅ ΔADC
By CPCT, ∠B=∠C
Also, from ΔABD and ΔBCD, we have
AB=CD(given)
BC=AD(given)
BD=BD(common)
Thus, by SSS rule, ΔABD ≅ ΔBCD
By CPCT, ∠A=∠C
Since, opposite angles are equal,therefore ABCD is a parallelogram.
Draw in diagonals AC and BD. The given information and the shared side AC along with the Reflexive Property can be used to prove ΔABC ≅ ΔADC by the SSS Congruence Postulate. Using CPCTC, ∠B=∠C.The same can be done for ΔABD ≅ ΔBCD using the given information and the shared side BD. This will lead to ∠A=∠C. Therefore, ABCD is a parallelogram because opposite angles are congruent.
Answer:
Step-by-step explanation:
Matured amount of $200000 at 4% compounded quarterly after 3 years
= $200000 x ( FVIF , 1 , 12 )
= $200000 X 1. 1268
= $225360 .
Matured amount of $210000 at 3% compounded semiannually after 2 years
= $210000 x ( FVIF , 1.5 , 4 )
= $210000 X 1. 1268
= $225360 x 1.0614
= $239197
Total amount after maturity
= $225360 + $239197
= $464557
Matured amount of $464557 at 2% compounded annually after 7 years
= $464557 x ( FVIF , 2 , 7 )
= $464557 x 1.1487
= $533636.6
This amount is more than his target amount of 500000.00 So she meets the goal .
Answer:
11
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write expression
2(3) + 5
Step 2: Multiply
6 + 5
Step 3: Add
11
Answer:
3,805 pounds of cement for $266.35 is a better buy
Step-by-step explanation:
<u><em>3,805 pounds of cement for $266.35</em></u>
266.35 : 3,805= 0.07
check your work: 3,805 x 0.07 = 266.35
so for the first offer you will be paying $0.07 per pound
<u><em>5 tons of cement for $1,400.00</em></u>
1 ton = 2000 pounds
5 tons = 10000 pounds
1,400.00 : 10000 = 0.14
for the second offer you will be paying $0.14 per pound of cement. 3,805 pounds of cement for $266.35 is a better buy because you will be paying half of the price for each pound.
hope this helps!
