Answer:
BA = 12
Step-by-step explanation:
All the right triangles are similar, so the ratio of hypotenuse to long side is a constant. In particular ΔABC ~ ΔDBA, so ...
hypotenuse/long-side = BC/BA = BA/BD
Cross multiplying gives ...
BA² = BC·BD
BA = √(BC·BD) = √(16·9)
BA = 12
Answer:
To solve this problem you can divide the figure is known figures that have exact formulas for calculate their areas. As you can see in the figure attached, you can divide in two trapezoids, one rectangle and two right triangles. Therefore, you have:
Area=((4+3)6)/2+((6+3)5)/2+(3x1)+(3x4)/2+(3x3)/2
Area=21+22.5+3+6+4.5
Area=57
The answer is: The area is 57
Answer:
24=x
Step-by-step explanation:
1/2x+4=2/3x
Subtract 1/2 x from each side
1/2x-1/2x+4=2/3x-1/2x
4 = 2/3x-1/2x
We need to get a common denominator of 6 on the right
4 = 2/3x *2/2 = 1/2x *3/3
4 = 4/6 x - 3/6 x
4 = 1/6 x
Multiply each side by 6 to isolate x
4*6 = 1/6x *6
24 =x
The monthly interest rate charge is $165. The total principal payment you are making is $367.10+$165.00=$532.10