Answer:
<em>120°, 120°, 60°, 60°</em>
Step-by-step explanation:
m∠1 = 180° - 60° = 120°
m∠1 = m ∠2 (alternate interior)
m∠3 = 60° (vertical to given angle)
m∠4 = m∠3 (alternate exterior)
Answer:
This proves that f is continous at x=5.
Step-by-step explanation:
Taking f(x) = 3x-1 and
, we want to find a
such that 
At first, we will assume that this delta exists and we will try to figure out its value.
Suppose that
. Then
.
Then, if
, then
. So, in this case, if
we get that
. The maximum value of delta is
.
By definition, this procedure proves that
. Note that f(5)=14, so this proves that f is continous at x=5.
Answer:
Step-by-step explanation:
<u>We know that:</u>
<u>Let's first solve for y by choosing any equation.</u>
- 4x + y = 14
- => y = 14 - 4x
<u>Now, let's substitute the value of y into the second equation.</u>
- 6x - 3y = 3
- => 6x - 3(14 - 4x) = 3
- => 6x - 42 + 12x = 3
- => 18x - 42 = 3
- => 18x = 42 + 3
- => 18x = 45
- => x = 45/18 = 5/2 = 2.5
<u>Now, let's substitute the value of x into the equation of y.</u>
- => 14 - 4x = y
- => 14 - 4(2.5) = y
- => 14 - 10 = y
- => y = 4
Hence, the value of x and y are 2.5 and 4 respectively.
Answer:
6 faces, 8 vertices, and 12 edges
Step-by-step explanation:
6 faces because each side is a face, 8 vertices because there is 8 corners, and 12 edges because its where the sides of two faces meet.