Multiply the number of choices for each position together. Three of the numbers can be repeated with the one (5) only being used once.
(4 possible choices) × (3 possible choices) × (3 possible choices) × (3 possible choices) = 4 × 3 × 3 × 3 = 108
It’s (D) good luck for the rest of your questions
Answer: Tiffany can be certain the trapezoids are congruent.
Step-by-step explanation: Two figures are <u>congruent</u> when their corresponding angles are equal and they have the same shape and size.
A figure can go thorugh 3 types of transformations:
- <em>Rotation</em>: the figure is turned around a fixed point;
- <em>Reflection</em>: is created by fliping over the figure over a line;
- <em>Translation</em>: move the figure to another location, without changing its size;
As long the figure doesn't change its size or shape, it doesn't matter if it's rotated, reflected or translated, they will be congruent.
When the trapezoid was rotated creating another one, the two shapes didn't change its size or shape, so Tiffany can be certain they are congruent.
Answer:
x = - 9, x = 10
Step-by-step explanation:
Given
x² - x - 90 = 0
Consider the factors of the constant term (- 90) which sum to give the coefficient of the x- term (- 1)
The factors are - 10 and + 9, since
- 10 × 9 = - 90 and - 10 + 9 = - 1 , thus
(x - 10)(x + 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 10 = 0 ⇒ x = 10
x + 9 = 0 ⇒ x = - 9
lesser x = - 9
greater x = 10
X equals negative 2. It says i need to write at least 20 characters so ignore this part, its nonsense :)
