Answer:
105°, 75°, and 105°.
Step-by-step explanation:
If two straight paths intersect at a point , four angles will be formed.
These are pairs of vertical angles.
The adjacent angles add up to 180°
If one of the angles is 75°, the supplement will be

Therefore the three other angles will be , 105°, 75°, and 105°.
Answer: (x³ - 2x² - 11x + 12)
Step-by-step explanation:
Recall that zeroes can be transformed into factors by subtracting them from x. This gives us the following factors:
(x - 1)(x + 3)(x - 4)
Now, if you multiply the first two factors together, you get the following:
(x² + 2x - 3)
Multiply that by the last factor, (x - 4), and you get this:
(x³ + 2x² - 3x - 4x² - 8x + 12)
This can be simplified:
(x³ - 2x² - 11x + 12)
And there's your final answer. Hope this helped! (x³ - 2x² - 11x + 12)
Given:
The area model.
To find:
The area as a sum and area as a product.
Solution:
The four terms of the area model are
.
The area as a sum is the sum of all the terms of given area model.
Area as a sum = 
= 
The area as a product is the factor form of sum of all the terms of given area model.
Area as a product = 
= 
= 
Therefore, the area as a sum is
and the area as a product is
.
15 because it can go in to 30 to equal 2 and 105 to equal 7