Answer:
54
Step-by-step explanation:
Diagonals are perpendicular so
2x+ 90 + 3x = 180 since this forms a triangle
Combine like terms
5x+ 90 = 180
Subtract 90 from each side
5x +90-90 =180-90
5x = 90
Divide each side by 5
5x/5 = 90/5
x =18
We want to find Angle ABD
ABD = 3x = 3*18 = 54
Answer:
The discount points will cost 3749.
Step-by-step explanation:
The first monthly interest payment is $820.
So, annual interest paid = 
= $9,840
Now, converting the annual interest to decimal = 
= $93,714.28
As given, the bank requires 4 discount points, this becomes 0.04.
So, total loan amount = 
= $3748.57 ≈ $3749
Hence, the discount points will cost 3749.
-26 < 54
Negative numbers are smaller than positive numbers
<span>The equation you start with is the given equation.
x/6 + 2 = 15 a. Given
The next step in solving this equation is subtracting 2 from both sides.
x/6 = 13 b. Subtraction Property of Equality
Lastly, to cancel out the denominator, multiply both sides of the equation by 6.
x = 78 c. Multiplication Property of Equality
Answer:
</span>a. Given
b. Subtraction Property of Equality
c. Multiplication Property of Equality
9514 1404 393
Answer:
10π meters
Step-by-step explanation:
The circumference of the island is given by ...
C = πd
For the given diameter, the circumference is ...
C = π(20 m) = 20π m
The penguin swam half that distance, so swam ...
(1/2)(20π m) = 10π m
The penguin swam 10π meters.
