we know that
if ABC is an isosceles right triangle
then
side AC=side BC
angle A=angle B=45 degrees
cos B=adjacent side angle B/hypotenuse
adjacent side angle B=BC
hypotenuse=AB------> 18 ft
angle B=45 degrees
cos 45°=(√2)/2
so
cos 45°=BC/AB-------> solve for BC
BC=AB*cos 45-------> BC=18*(√2)/2------> BC=9√2 ft
AC=BC--------> AC=9√2 ft
the answer part 1) is
the exact lengths of the two sides, AC and BC is
AC=9√2 ft
BC=9√2 ft
Part b) Find the Area of triangle ABC
Area=b*h/2-------> AC*BC/2-----> (9√2)*(9√2)/2--------> 81 ft²
the answer part b) is
the area of triangle ABC is equal to 81 ft²
X + 8 = -x + 7
it can be set up like this :
y = x + 8
y = -x + 7
Multiplying is the inverse for division
Let us consider the second number would be 
The first number is eight more than the second one.
That is, the first number would be 
Three times the second number would be 
Twice the first number would be 
Now write the statement in mathematical form: "Three times the second number plus twice the first number is equal to 26"

Solve this equation for x:
Distribute 2 in
, we get

Combine the like terms,

Subtracting 16 on both sides,


Dividing 5 on both sides,

So the second number is 
Now find the first number:
First number 
Thus the numbers are 10 and 2.
Answer:
a
Step-by-step explanation: