So k=katie's' age
m=mara's age
k is 2 times as old as m
k=2m
sum is 24
add means sum
k+m=24
so we have
k+m=24 and
k=2m
subsitute
2m+m=24
add
3m=24
divide both sides by 3
m=8
subsitute again
k=2m
k=2(8)
k=16
katie=16
mara=8
Answer: 153
Step-by-step explanation:
area of rectangle= 16 x 3= 48
area of trapezium= 1/2(a+b)h
=1/2(16+5)x 10
=105
105+48= <u>153 in^2</u>
Answer:
(L-a)/d + 1 = n
Step-by-step explanation:
Let's isolate (n-1), and after that isolate n:
1) subtract a from both sides: L - a = (n-1)d
2) Divide both sides by d: (L-a)/d = n-1
3) Add 1 to both sides, to isolate n: (L-a)/d + 1 = n
Answer:
250
Step-by-step explanation:
because 50 + (4 x 50) that equals 50 + 200 = 250
Answer:
Yes
Step-by-step explanation:
We can use the Pythagorean Theorem to check if this triangle is a right triangle:
Note that 
and 
are the legs of the triangle and 
is the hypotenuse:
Substitute the lengths of the sides into the equation:
Therefore this triangle is a right triangle.
