Answer:
x = 60°
y = 50°
Step-by-step explanation:
✅x = 180° - (50° + 70°) (sum of interior angles of a triangle theorem)
x = 180° - 120°
x = 60°
✅Based on the exterior angle theorem, the sum of the opposite interior angles of a triangle = the exterior angle.
Therefore,
50° + 60° = x + y
Plug in the value of x
50° + 60° = 60° + y
110° = 60° + y
y = 110° - 60°
y = 50°
Answer:
33.75 cubic inches of styrofoam can be placed inside the container.
Step-by-step explanation:
Based on given information, the volume of the prism (
), in cubic inches, is determined by using this formula:
(1)
Where:
- Base of the triangular face, in inches.
- Height of the triangular face, in inches.
- Length of the prism, in inches.
If we know that
,
and
, then the volume of the prism is:


33.75 cubic inches of styrofoam can be placed inside the container.
Answer:
Equation: 4x = 128


Step-by-step explanation:
(Linear pair angles)
- -> (x + 52)° + (3x)° = 180°
- -> 4x = 128 ( This is the required equation)
Answer: OPTION D.
Step-by-step explanation:
For this exercise it is important to remember the following Trigonometric Functions:

Knowing this, we can identify that:

Therefore, the ratio
is equivalent to this Trignometric function:
