Answer:
x = 98 degrees
Step-by-step explanation:
The sum of angles in a pentagon is 540 degrees. You can find this with the formula where n is the number of sides: 180(n-2). This formula will find the angle sum of a polygon. Now, since you know the value of every other angle except X, we can construct the equation 112+100+113+117+x=540
Solving this equation yields x=98 degrees
Answer:
6
Step-by-step explanation:
First side times hight or 3x4=12
12 is a whole square, but this is a triangle (Half of a square)
So we divide by 2 to find the area. 12/2=6
6
A = $992.00
(I = A - P = $192.00)
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 800(1 + (0.04 × 6)) = 992
A = $992.00
The total amount accrued, principal plus interest, from simple interest on a principal of $800.00 at a rate of 4% per year for 6 years is $992.00.
Assuming there is no line under the "less than" sign, this means D + 4 < 7 solves to D < 3, which is what I'm assuming you got. This is found by subtracting 4 from both sides.
Writing D < 3 means D is some number less than 3. A solution is just that. You cannot pick 3 itself because 3 is not less than 3. But you can pick something like 2 since it is less than 3.
D+4 < 7
2+4 < 7 ... replace D with 2
6 < 7 ... true
Or D could be 1
D+4 < 7
1+4 < 7
5 < 7 .... true
and so on.