∆ABC=∆DEF
AB=DE –>String
BC=EF–> Rib
m<C=m<F=90° –>List
AC=DF
So m<A=m<D=35 (It is not clear whether the number is 35 or 36, but the same number)
30 is the old value and 55 is the new value. In this case we have a positive change (increase) of 83.33333333 percent because the new value is greater than the old value. Using this tool you can find the percent increase for any value.
to solve for the dimensions (x+7)(x+2)=66,
we can first use the foiling method to simplify the left side.
x^2 + 2x + 7x + 14 = 66
x^2 + 9x + 14 = 66
now, subtract 66 from both sides.
x^2 + 9x - 52 = 0
now, split this into two parentheses.
(x + 13)(x - 4)
since the root of -13 would give you negative values, x=4. This means that the dimensions of the rectangle are 11 and 6.
Answer:
see below
Step-by-step explanation:
Part 1: 5(2x - 4) = 30.
Distribute
10x -20 = 30
Add 20 to each side
10x-20+20 =30+20
10x = 50
Divide by 10
10x/10 = 50/10
x =5
Part 2: 5x + 3 - x + 2 = 41
Combine like terms
4x +5 = 41
Subtract 5 from each side
4x+5-5 = 41-5
4x = 36
Divide by 4
4x/4 = 36/4
x = 9