Answer:
Area of the parallelogram is 96 
.
Step-by-step explanation:
A parallelogram is a quadrilateral with parallel and equal length of opposite sides. The diagonals are perpendicular to each other.
Area of a parallelogram is given as,
Area = base x height
Thus for the given parallelogram with base 12 cm and height 8 cm, the area would be;
Area = base x height
= 12 x 8
= 96
Area = 96
The area of the parallelogram is 96 .
Hi,
Answer:
k = 
Step-by-step explanation:
Subtract 4k from both sides
6k - 4k = 2k
2k - 8 = 15
Add 8 on both sides (you want to get rid of the 8 in order to leave the k alone)
2k = 23
k = 23/2
Have a good day!
Answer:
B
Step-by-step explanation:
if BU and BN weren't congruent, then the two triangles couldn't be proved to be congruent
Answer:
<u>infinitely many solutions</u>
Step-by-step explanation:
The system of equations :
- 3x + 2y = 7
- -4.5x - 3y = -10.5
Multiplying Equation 1 times 3 and Equation 2 times 2 :
- 9x + 6y = 21
- -9x - 6y = -21
Putting the equations in standard form after simplifying :
- 6y = -9x + 21 ⇒ <u>y = -1.5x + 3.5</u>
- -6y = 9x - 21 ⇒ <u>y = -1.5x + 3.5</u>
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As both equations are the same, the system will have <u>infinitely many solutions</u>.
Answer:
$25
Step-by-step explanation:
We know,
Monthly interest = (Principal × Interest rate) ÷ 12
Given,
Loan principal = $3,000
Interest rate = 10% = 0.10
Therefore, monthly interest = ($3,000 × 0.10) ÷ 12
Monthly interest = $300 ÷ 12
Monthly interest = $25
Therefore, the principal amount to be paid per month is = $(96.80 - 25) = $71.80.
So, Jamison will pay $25 as interest for the 36-month $3,000 loan.
