11. The two angles are vertical angles, which mean they are equal to each other.
14x - 5 = 13x
Add 5 to both sides:
14x = 13x + 5
Subtract 13x from both sides:
x = 5
12. The two angles are supplementary and when added together need to equal 180 degrees.
5x -20 + 3x = 180
Combine like terms:
8x -20 = 180
Add 20 to both sides:
8x = 200
Divide both sides by 8:
x = 200 /8
x = 25
Answer:
A) Domain: All real numbers, excluding zero (-∞, 0) ∪ (0, ∞)
Range: All real numbers, excluding zero (-∞, 0) ∪ (0, ∞)
Step-by-step explanation:
Answer:
33 cubic unit
Step-by-step explanation:
Volume of the prism = base area * height
= 9 * 3 2/3 {Change improper to proper fraction}
Step-by-step explanation:
the area of a triangle is always
baseline × height / 2
where baseline and height are perpendicular (at a 90° angle) to each other.
so, in our case the area is
7 × 2 / 2 = 7 × 1 = 7 units²
