Answer:
the area is 6.25 km^2
Step-by-step explanation:
1.25 = x
5 = 4x
1.25 * 5 = 6.25
Answer:
y=-3
Step-by-step explanation:
"varying directly" means there is only a factor between x and y, i.e.:
y = k·x
so k = y/x = -1/3
so if x=9, y = -1/3·9 = -3
<u>Given</u>:
The given expression is 
We need to determine the equivalent expression.
<u>Equivalent expression:</u>
The equivalent expression can be determined by simplifying the given expression.
Thus, let us factor out the common term "mn" from the denominator.
Thus, we have;
Cancelling the common terms, we get;
Thus, the equivalent expression is
Hence, Option c is the correct answer.
Givens
The numbers are n and n + 1
Average = Av = 105
Equation
Av = (n)(n + 1)/2
Solution
Av = 105
n(n +1)/2 = 105 Multiply both sides by 2
n(n + 1) = 105 * 2
n(n + 1) = 210 Remove the brackets.
n^2 + n = 210 Subtract 210 from both sides
n^2 + n - 210 = 0
factor
(n+15)(n - 14)
n + 15 = 0
n = - 15
n = - 15 which is the smallest of the two answers.
n + 1 = - 14
Answer:
x=26
Step-by-step explanation:
exterior angles theorem meaning they're equal to each other.
5x+7=8x-71
add 71 to 7
5x+78=8x
subtract 5x from 8x
78=3x
divide 78 and 3
x=26
to check your work plug 26 into each equation:
5(26)+7= 137°
8(26)-71= 137°
because they're the same you know that x must equal 26
hope this helps!❤
