This is a rectangle, meaning that all angles are right angles and all sides opposite to one another have equal length.
Since the length of CD is 24, the length of AB must also be 24.
Angle B is a right angle because this is a rectangle.
See anything? I'll you a hint. We have a right triangle with only one missing value.
What do we use to solve for missing lengths in a right triangle? The Pythagorean theorem, of course!

The length of c (the hypotenuse) is 26.
The length of a (one leg) is 24.
The length of b is unknown and we want to find it.


Subtract 576 by both sides.

Take square root of both sides.

The length of the missing leg is 10, meaning that the length of BD is 10.
This is what you should be needing. Enjoy!
Answer:
EG = 16 and FH =22
Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other
so 2a = 3b+2
and 2a+3 = 6b-1
We know have a system of equations to solve
2a = 3b+2
2a+3 = 6b-1
Subtract 3 from each side
2a+3-3 = 6b-1-3
2a = 6b -4
Now we can set the 2 equations equal ( 2a = 3b+2 and 2a = 6b -4)
3b+2 = 6b-4
Subtract 3b from each side
3b-3b+2 = 6b-3b-4
2 = 3b-4
Add 4 to each side
2+4 = 3b-4+4
6 = 3b
Divide by 3
6/3 = 3b/3
2 =b
We want to find a
2a = 3b+2
Substitute in b=2
2a = 3(2) + 2
2a = 6+2
2a =8
Divide by 2
2a/2 =8/2
a = 4
Now that we know a and b
EG = 2a + 3b+2
= 2(4) + 3(2)+2
= 8+6+2
= 16
FH = 2a+3 + 6b-1
= 2(4) +3 +6(2)-1
= 8+3+12-1
= 23-1
= 22
20000=p(1+0.05/12)^12*9
Solve for p
P=20,000÷(1+0.05÷12)^(12×9)
P=12,764.49
Answer:
y= 4/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2=3(y−2)
−2=(3)(y)+(3)(−2)(Distribute)
−2=3y+−6
−2=3y−6
Step 2: Flip the equation.
3y−6=−2
Step 3: Add 6 to both sides.
3y−6+6=−2+6
3y=4
Step 4: Divide both sides by 3.
3y
/3
=
4
/3
y=
4/3
Answer:
y=
4/3