Answer:

Step-by-step explanation:

Expand brackets.


Apply radical rule : 


Answer is attached below.
Answer:
2.5
Step-by-step explanation:
so LM is 3 right, right?
so PQ is 6
what they did to get that is they doubled 3 so 3x2=6
so if we divide 5 by 2 we get 2.5 because 2.5+2.5= 5
and that is how i got 2.5
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The first one is 100 because it is closer to 100 than to 200. The second one is 700 because 690 is 10 away from 700. And the third one is 100 because it is only 15 away from 100.
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10