|AD| = 30 - 6 = 24

The triangle ABC and the triangle BDA are similar, therefore:

$\dfrac{30}{x}=\dfrac{x}{24}\ \ \ \ |cross\ multiply\\\\x^2=30\cdot24\to x=\sqrt{30\cdot24}\\\\x=\sqrt{5\cdot6\cdot6\cdot4}\\\\x=\sqrt{6^2\cdot4\cdot5}\\\\x=\sqrt{6^2}\cdot\sqrt4\cdot\sqrt5\\\\x=6\cdot2\cdot5\\\\\boxed{x=12\sqrt5}$

7 0

3 years ago

Given that h(x) = 5-2x, find the value(s) of x when h(x) =3

arsen [322]

Answer:

x=1

Step-by-step explanation:

We have,

h(x) = 5-2x

h(x)=3

Now,

h(x)=5-2x=3

or,5-2x=3

or,5-3=2x

or,2/2=x

Therefore, x=1 when h(x)=3

3 0

2 years ago

Read 2 more answers

Mrs.Browns rectangular kitchen is 10 ft wide and.16 ft long, if she creates a scale drawing.With a length of 4 inches, what woul

Nataliya [291]

Answer:

2.5 inches

Step-by-step explanation:

1 feet = 12 inches

The length is 16 ft x 12 = 192 inches

The length was scales by an unknown measure which i would represent with x . The equation is as follows

192 inches x a = 4 feet

a = 48

The kitchen was scaled by 48

10 x 12 = 120 inches

120/48 = 2.5 inches

7 0

2 years ago