Answer:
sqrt(13) =x
Step-by-step explanation:
We have 2 right triangles, one on the right and one on the left
The base is 1/2 of 4 or 2 and the height is 3
We can use the Pythagorean theorem to find the hypotenuse
a^2 + b^2 = c^2
2^2 + 3^2 = x^2
4+9 = x^2
13 = x^2
Take the square root of each side
sqrt(13) =x
Answer: To add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.
Answer is 54^2.
since there are triangles in this one, it is easier to do this. all you have to do is make boxes in and since there are angles, outside the lines. like this picture.
the orange is 1
red and dotted is 2
blue is 3
purple is 4(a regular box which should be easy to count.
all you have to do is add up all the boxes within the boundaries.
boundary 1: 12
boundary 2: 18
boundary 3: 6
boundary 4: 36
now when the boundary has a triangle in it (1, 2, & 3) divide the number you got in half or 2.
boundary 1: 6
boundary 2: 9
boundary 3: 3
the ractangle box doesn't not get divided.
boundary 1: 6
boundary 2: 9
boundary 3: 3
boundary 4: 36
add all the numbers you got now for each boundary and that would be your area squared.
6+9+3+36=54^2
so your final answer is 54^2.
i hope this helps you.
Answer:
the pre-image and the image are congruent
Step-by-step explanation: