If triangle HIJ is dilated about the center of the triangle to create triangle H'I'J', dilated line A'B' will be parallel to AB.Option (D) is correct.
Further explanation:
Given:
The options are as follows,
(A). be perpendicular to AB.
(B). lie on the same line as AB.
(C). shift four units to the left.
(D). be parallel to AB.
Explanation:
If we dilate triangle HIJ then the dilated triangle is bigger than the triangle HIJ.
The triangle HIJ is similar to triangle to each other.
So the line is parallel to side AB.
If triangle HIJ is dilated about the center of the triangle to create triangle H'I'J', dilated line A'B' will be parallel to AB. Option (D) is correct.
Kindly refer to the image attached below.
Learn more:
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Coordinate geometry
Keywords: image vertices, AB, line, passing, point A, point B, triangle HIJ, dilated, perpendicular to AB, lies, same line, shift four units, left, pre-imaged, dilation, center, scale factor, four, coordinates, x-coordinates, y-coordinate, transformation rule.
Answer:
B
Step-by-step explanation:
A rhombus is divided into four congruent triangles. The two given angles are complementary, meaning they add up to 90 degrees. Set up an equation:
Take out the parentheses
Combine like terms
Add 25 to both sides so as to isolate the variable
Divide both sides by 5
Answer:
(a)0.16
(b)0.588
(c)
Step-by-step explanation:
The matrix below shows the transition probabilities of the state of the system.
(a)To determine the probability of the system being down or running after any k hours, we determine the kth state matrix .
(a)
If the system is initially running, the probability of the system being down in the next hour of operation is the
The probability of the system being down in the next hour of operation = 0.16
(b)After two(periods) hours, the transition matrix is:
Therefore, the probability that a system initially in the down-state is running
is 0.588.
(c)The steady-state probability of a Markov Chain is a matrix S such that SP=S.
Since we have two states,
Using a calculator to raise matrix P to large numbers, we find that the value of approaches [0.75 0.25]:
Furthermore,
The steady-state probabilities of the system being in the running state and in the down-state is therefore:
