$\frac{|DC|+|AB|}{2}=|LM|\\\\|AB|=x+8;\ |LM|=4x+3;\ |DC|=187\\\\substitute:\\\\\frac{187+x+8}{2}=4x+3\ \ \ \ /\cdot2\\\\195+x=8x+6\ \ \ /-195;\ /-8x\\\\-7x=-189\ \ \ /:7\\\\\underline{\underline{x=27}}$

5 0

3 years ago

What is the value of x?

Eduardwww [97]

Answer: 15

Step-by-step explanation:

x-6/(x-6)+3 = x/x+5

The x in the equation is 15

3 0

3 years ago

A rectangular prism has a base of 18 cm by 15 cm and a diagonal of 25 cm. Identify its height. Round to the nearest tenth. HELP

jok3333 [9.3K]

Answer:

8.7 cm

Step-by-step explanation:

You know the relationship between the diagonal of a rectangular prism and the sides as $d^2 = x^2 + y^2 + z^2$ where x, y and z are the three dimensions of the prism. from your data, $25^2 =18^2 + 15^2 + z^2$ or $z^2 = 25^2 -18^2 - 15^2$ . With some simple calculation you get $z^2 = 625 - 324 - 225 = 76$ , or $z= 8.7178....$

6 0

3 years ago