Can someone help me solve this please?

h = 9

Step-by-step explanation:

You can use the Pythagorean theorem to solve this.  Consider each half of the main triangle their own triangles.  

h = a

a^2 + b^2 = c^2

or

a^2 = c^2 - b^2

a^2 = 10^2 - 5^2

a^2 = 100 - 25

a^2 = 75

a = √75

a = 8.66, or 9

h = 9 (when rounded)

w = -28

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-2/7w = 8

Step 2: Solve for w

[Division Property of Equality] Divide both sides by -2/7:                           w = -28

Step 3: Check

Plug in w into the original equation to verify it's a solution.

Substitute in w:                    -2/7(-28) = 8Multiply:                                8 = 8

Here we see that 8 does indeed equal 8.

∴ w = -28 is the solution to the equation.