Answer:
Given: In parallelogram ABCD, AC=BD
To prove : Parallelogram ABCD is rectangle.
Proof : in △ACB and △BDA
AC=BD ∣ Given
AB=BA ∣ Common
BC=AD ∣ Opposite sides of the parallelogram ABCD
△ACB ≅△BDA∣SSS Rule
∴∠ABC=∠BAD...(1) CPCT
Again AD ∥ ∣ Opposite sides of parallelogram ABCD
AD ∥BC and the traversal AB intersects them.
∴∠BAD+∠ABC=180∘ ...(2) _ Sum of consecutive interior angles on the same side of the transversal is
180∘
From (1) and (2) ,
∠BAD=∠ABC=90∘
∴∠A=90∘ and ∠C=90∘
Parallelogram ABCD is a rectangle.
Answer:
$200.00
Step-by-step explanation:
Round the $39.00 to $40.00 then add it all together because you can't forget the taxes.
What you are doing with proportions most the time is solving for a variable which in this example I will use an x. You have to do something called cross multiplying. now look at number 21. when you cross multiply you multiply the number of the top part of the fraction on the left side to the bottom part of the fraction on the right side. In that example 1 × 36 = 36. now write 36 = 16x since you have to cross multiply the other parts of the fraction. Then you would divide both sides of the equation by 16. I will make a mixed fraction for this example. 2 4/16 which simplified equals 2 1/4
Answer: =
Write the expressions backward from month 12 to month 1 to get this series:
50 + 50(1.003) + 50(1.003)2 + ... + 50(1.003)11
Convert the series to sigma notation, and find the sum of the 12 terms in the series:
11
S12 50(1.003)
ko
50(1 - 1.00312)
1 - 1.003
610
Esther will have about $610 in her savings account after a year. She would have deposited $600 over 12 months, so she
will have earned $10 in interest.
Step-by-step explanation:
