Answer: 8=x+5, x-3=5
Step-by-step explanation: Find the value of ‘x’ by subtracting 5 in the first equation. Add 3 to the second equation.
See the picture attached to better understand the problem
we know that
Applying the Pythagoras Theorem
AC²=AB²+BC²-----> AC²=5²+9²----> AC²=25+81----> AC²=106
AC=√106 units
the length side of the square is equal to the hypotenuse
so
b=√106 units
where b is the length side of the square
area of the square=b²-----> (√106)²-----> Area=106 units²
the answer is106 units²
Answer:
$90, $135, $189
Step-by-step explanation:
Since the first part of the ratio is two- thirds of the second, then
first part =
× 5 = 
The ratio is then
: 5 : 7
Sum the 3 parts of the ratio
+ 5 + 7 = 
Divide the amount to be shared by the sum to find the value of one part of the ratio.
$414 ×
= $27 ← value of 1 part of the ratio, then
× $27 = $90
5 × $27 = $135
7 × $27 = $189
The 3 parts are $90, $135, $189
165 as a product of prime factors = 5,11,3
There for, if you multiply them you will get 165.
Hope I helped!!
To find the standard error, divide the standard deviation by the square root of the sample size
standard deviation = 7.5
sample size = 25......sqrt 25 = 5
standard error = 7.5 / 5 = 1.5 <==