Given:
Consider the below figure attached with this question.
The linear equation is:

To find:
The values to complete the table of ordered pairs for the given linear equation.
Solution:
We have,

Substituting
in the given equation, we get



So, the value for first blank is -8.
Substituting
in the given equation, we get




So, the value for second blank is 3.
Substituting
in the given equation, we get



So, the value for third blank is -4.
Therefore, the required complete table is:
x y
0 -8
3 -2
2 -4
Answer:
False
Explanation:
Zero-dimensional would be a point.
One-Dimensional would be a line.
Two-Dimensional would be a plane.
Three-Dimensional would be a shape.
Answer: The answer is (B) ∠SYD.
Step-by-step explanation: As mentioned in the question, two parallel lines PQ and RS are drawn in the attached figure. The transversal CD cut the lines PQ and RS at the points X and Y respectively.
We are given four angles, out of which one should be chosen which is congruent to ∠CXP.
The angles lying on opposite sides of the transversal and outside the two parallel lines are called alternate exterior angles.
For example, in the figure attached, ∠CXP, ∠SYD and ∠CXQ, ∠RYD are pairs of alternate exterior angles.
Now, the theorem of alternate exterior angles states that if the two lines are parallel having a transversal, then alternate exterior angles are congruent to each other.
Thus, we have
∠CXP ≅ ∠SYD.
So, option (B) is correct.
Answer:
x = -1/2
Step-by-step explanation:
To solve the equation, we first need to combine like terms:

Simplify further:

Divide by -12 on both sides to get:

To check the solution, plug x back into the original equation and check if we get the correct answer:



Thus, it checks out and our answer is correct.
Answer:
72°
Step-by-step explanation:
tan x= PN/OP=95/31
⇒x ≈ 72°