What is the value of x? round to the nearest tenth, if necessary. x = 4 x = 5 x = 6.2 x = 9.4

Answer

The value of x is 6.2 units .

Step-by-step explanation:

Now by using the pythagorean theorem

Hypotenuse² =  Perpendicular² + Base²

Now in the Δ ABD

As given

DB² = DA² + AB²

As given

DB = 13 units

AB = 9 units

Putting values in the above

13² = 9²+ DA²

169 - 81 = DA²

88 = DA²

In ΔABC

AB² = AC² + CB²

(As given AB = 9 units , CB = x)

9² = AC² + x²

AC ² = 81 - x²

Now in ΔADC.

AD² = AC² + DC ²

As

AC ² = 81 - x²

DC = 13 - x

(By using the formula (a + b)² = a² + b² + 2ab )

88-81 - 169 = -26x

88-250 =-26x

-162 = - 26x

x = 6.2 (Approx)

Therefore the value of x is 6.2 units .

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3