Answer:
AB = 
cm
Step-by-step explanation:
As we can see from the figure, BCDE is a square with each corner equal to 90°.
So that, BDE is a right triangle with corner BED equal to 90°
As BDE is a right triangle, according to Pythagoras theorem, we have:
cm
As the diagram s the cube, so that it can be seen that AD is perpendicular to the surface BCDE
=> AD is perpendicular to BD
=> ADB is the right triangle with corner ADB equal to 90°.
As ADB is the right triangle, ccording to Pythagoras theorem, we have:
cm
=> 
cm
Conclusion: AB = cm
Answer:
x =5
Step-by-step explanation:
Using the formula for calculating the distance between two points
D = √(x2-x1)²+(y2-y1)²
Given the points A(2, x) , B(x, 8) and AB = 3√2
On substituting the given values into the formula;
AB = √(x-2)²+(8-x)²
3√2= √(x-2)²+(8-x)²
square both sides
(3√2)²= (x-2)²+(8-x)²
18 = (x-2)²+(8-x)²
expand
18 = x²-4x+4+64-16x+x²
18 = 2x²-20x+68
2x²-20x+68-18 = 0
2x²-20x+50 = 0
x²-10x+25 = 0
Factorize
x²-5x-5x+16 = 0
x(x-5)-5(x-5) = 0
(x-5)(x-5) = 0
x-5 = 0 an x-5 = 0
x = 5
Answer:
x=5 and y=7
Step-by-step explanation:
The opposite parallel sides of any rhombus are going to be equal.
a.) Knowing this you take (x+14) and make it equal to (5x-2). Then you subtract the x from (x+14), and add the 2 from (5x+2), making the new equation 16=4x. You divide 4 by x and by 16, getting the final simplified answer of x=4.
b.) Using the same method you take 3y-3 and set it equal to (2y+4). Then you subtract the 2y from (2y+4) and add the 3 from (3y-3) to bother sides. Now you have your new equation and answer being y=7.
a.) x+14 = 5x-2
b.) 3y-3 = 2y+4
c. they are all parts of 12, and when added together they equal 11/12. The formula to solve non proportionate fractions*or with different denominators* is to CROSS multiply and make the denominators equal, then add the numerators and SIMPLIFY.
*Cross multiply to make the denominator equal (you can google how to make fractions equal)
then add the numerators together
then simplify. PLEASE BE CONSIDERATE OF THE FORMULA AND DONT BE INTIMIDATED BY THE LOOK OF THE PROBLEM. They all have the same formula or method of solving. Good Luck!! I hope this helps.
