Answer:
26cm²
Step-by-step explanation:
Perimeter
2x - 4 + 5x - 13 + x + 9 = 40
8x - 8 = 40
8x = 40 - 8
8x = 32
x = 4
Sides of the triangle
Height = 2x - 4 = 2 x 4 - 4 = 4cm
Hypotenuse = 5x - 13 = 5 x 4 - 13 = 7cm
Base = x + 9 = 4 + 9 = 13cm
Area of triangle
= 1/2 x base x height
= 1/2 x 13 x 4
= 26cm²
Hope this helps
Set the single term factor on the left side of the equation equal to 0 0 . x=0 x = 0.
Set each of the factors of the left side of the equation equal to 0 0 . ...
Since −10 - 10 does not contain the variable to solve for, move it to the right side of the equation by adding 10 10 to both sides. ...
Solve the equations for x x .
Comment.
9A
Let's use (a) as an example. What number is in front of the x inside be brackets? If I gave you the choice of 1,2,3,4,5 which number is it out of those 5?
If you chose 5, you have the second best answer. You are reading outside the brackets. Not what we need.
If you choose 1, you are well on your way. There is a 1 beside the x.
Now go to the outside of the brackets. What's in front of the x? 1,2,3,4,5.. There is only one number you can choose. It's a 5. So the result outside the brackets is 5x. How did 1x become 5x? You had to put a 5 on the blank to the left of the brackets..
5(5 + x) = 5x + ___ What goes on the line to the right of 5x? Rule whatever you do to one side of a plus sign inside the brackets, you must do to the other side of the plus sign.
It becomes 5*5
So the blank is filled with 25. And here's the answer.
5(5 + x) = 5x + 25 <<<< answer..
Stop don't do anything more. 5x and 25 are not like terms. They don't mix
9B
Let's make this one brief so that you have something to do. What did you multiply 5 by to get 10? You should answer 2.
2(x + 5) = ___ x + 10
What you do on one side of the plus sign, you must do on the other. So what's in front of the x on the right?
2(x + 5) = 2x + 10 <<<< answer
Answer:The diagram shows a square ABCD.
D
N
bu
A
M
I
Mis the midpoint of AB.
Nis the midpoint of AD.
The area of the shaded triangle AMN is 18 cm
Work out the area of triangle MCN.
5b is the area of MCN
Step-by-step explanation: