Using the distance formula,
Since ABCD has two pairs of opposite congruent sides, it is a parallelogram.
Answer:
b = 3
Step-by-step explanation:
1. Subisitute P, a, and c (P = 41, a = 19, c = 19 ) into the equation:
P = a + b + c -> 41 = 19 + b + 19
2. Combine like terms:
41 = 38 + b
3. Isolate the variable by subtratcing 38 from both sides
41 - 38 = 38 -38 + b -> 3 = b
Answer:
Step-by-step explanation:
Answer:
By definition, angles A and 1 are corresponding angles and angles B and 1 are consecutive angles. By the corresponding angles postulate, angles A and 1 are congruent, and by the consecutive angles theorem, angles B and 1 are supplementary. By the definition of supplementary angles, measures of angle B and 1 add up to 180 degrees (m<B + m<1 = 180). By definition of congruent angles, angles A and 1 have same measurement (m<A = m<1). By substitution property of equality, measures of angles A and B add up to 180 degrees (m<A + m<B = 180). By definition of supplementary angles, angles A and B are supplementary.
Answer:
Graph of the inequality x< -3 as shown below in the figure.
Step-by-step explanation:
Given the inequality: x < -3
Graph of this inequality as shown below in the figure.
All the points that are lie in the shaded area satisfy the equation x < -3 or
In other words, we can say that x can take any value less than -3 .
x ≠ -3 or any number that is greater than -3.
Since there is a strict inequality i.e x < -3 , the points that lie on the line x = -3 does not satisfy the equation.
Therefore, the dotted line is marked at x = -3
