To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(9a)(2ab) + (5a²)(5b)
(9 x 2)(a x a x b) + (5 x 5)(a² x b)
(18)(a¹⁺¹ x b) + (25)(a²b)
18a²b + 25a²b
43a²b

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

8a x 3b = (8 x 3) (a x b) = 24ab

You need to find the value of c so solve the first equation in terms of y:

3c + y = -1
y = -1 - 3c

then substitute the result (-1 - 3c) into the second equation:

-2c + 9(-1 - 3c) = 7
-2c + (9 x -1) + (9 x -3c) = 7
-2c - 9 - 27c = 7
-2c - 27c = 7 + 9
-29c = 16
c = \( \frac{16}{-29} \)
c = -\(\frac{16}{29}\)

For parallel lines with a transversal, the following relationships apply:

• angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
• alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
• all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
• same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with c° = 37, the value of a° is 37.