BE is congruent to overline CF since they are altitudes of the same trapezoid(S).
AB is congruent to overline CD (Given)
AE is congruent to overline FD by the Hypotenuse Leg Theorem.
triangle ABC is congruent to triangle DCF (SSS Triangle Congruence)
angle A is congruent to angle D since corresponding parts of congruent triangles are congruent.
To simply the expression,we should remember an ! in math represents every number (til 1) before that one multiplied or "the product of the integers from 1 to n"
So now that we have the definitions we can simplify by finding the values of each:
(9x8x7x6x5x4x3x2x1)-(4x3x2x1)(5x4x3x2x1)
After simplifying this will equal to 3600
Answer:
See explanation
Step-by-step explanation:
The standard compound interest formula is 
where:
P is the principal amount
r is the interest rate (typically as a percentage)
t is the time
n is the times compounded per unit of time
So,
1) 
2) 
3) 
You should check my answers though, I may have mixed up some terms.
0.1 decrease in 15 minutes
unit rate is 0.1 / 15 = 0.00667
Temperature is decreasing by 0.00667 degrees Celsius per minute
Answer:
B should be 3 inches long because the area of the square above is 48 inches squared, so that long side is probably 8. B is 3 inches long. As for A, this should be simple. since we know the longer side of the room has the area of 27, we can tell the length(longest side) is 9. 14 minus 9 is equal to 4. A's width is 4 inches long.
Step-by-step explanation:
for the rest, since we know one of the widths is 6 inches, we know that the length of the room with an area of 32 inches is 8. therefore, since 8 times 4 equals the number 32, C is 4 inches long. back to B. since we know that c is 4 inches long and that there is a length of 11 inches, we can tell the longest side of room A is 7. 4 Times 7 equals 28, so B is 28 inches squared.
