In a 45-45-90 triangle, the hypotenuse = sqrt of 2 times a leg.
Therefore the legs of the 45-45-90 triangle are 6.
That is also the hypotenuse of the 30-60-90 triangle.
In a 30-60-90 triangle, the short leg is one half of the hypotenuse.
Therefore x = 3
Answer:
Step-by-step explanation:
Three times a number increased by 8 is no more than 24.
3 times (x increased by 8) is no more than 24
3*(x+8) is no more than 24
the no more than phrase indicates that the expression 3*(x+8) is less than and can be equal to, but not greater than 24.
So:
The answer is 6. We can figure this out by using
Brackets
Indices (exponents or powers)
Division
Multiplication
Addition
Subtraction
Note: Division and multiplication are equal in value, you solve an equation or expression based on its placement from left to right.
Addition and Subtraction follow the same principles as Division and Multiplication.
Anyways, BIDMAS is made to help us remember in which order we do an equation or expression. Brackets first, then Indices etc.
Moving on, we have an expression here:
4 + (9 x 2) / (4 - 1) - 4
First, we will complete the brackets, which will simplify the equation to:
4 + (18) / (3) - 4
Then, we can remove the brackets and move onto the division. Doing the division will make the expression look like this:
4 + 6 - 4
All that is left to do is to subtract and add. Therefore, the simplest form of this expression is 6, as the + 4 and - 4 would cancel out.
Answer: 6
Place a point at (0,-5) because that is the y-intercept (the -5 on the vertical line)
Since the slope is negative two which can be re-written as -2/1 (rise/run) you go down two and to the right once or up two and to the left once, it doesn't matter which. Another point can be placed at (1,-7) or (-3,-1), it still doesn't matter which.
Then you can draw a line connecting the two points.
I hope this helps :)
Let me know if you need further explanation
The answer should be 16 square cm.
