Rotate the parallelogram 180° clockwise about point Q. A.

Mathematics

2 answers:

Leona [35]3 years ago

8 0

The fourth choice is the correct one. The center of rotation (Q) is always the midpoint between point P and its image P' when rotation is 180°.

weeeeeb [17]3 years ago

4 0

Answer with explanation:

Given : A Parallelogram A B CD.

When the Parallelogram is rotated by an angle of 180° through point Q,

⇒The Answer can be explained in this way, when you rotate by an angle of 90° the two corresponding sides of Pre-Image and Image will be Perpendicular to each other , while you rotate by an Angle of 180°, the two corresponding sides of Pre-Image and Image will be Anti-Parallel to each other.

⇒By looking at the four options , the option in which Corresponding side of Preimage that is Parallelogram ABCD and after rotating through an angle of 180°,and Corresponding Side of Image that is Parallelogram A'B'C'D' are Anti-parallel to each other.

⇒Point Q , will lie on line joining from D to D'.

Option D

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Amiraneli [1.4K]

Answer:

the answers are all in the picture

Step-by-step explanation:

Lmk if you need more explaining :)

8 0

3 years ago

A country is planning to decrease government spending in order to reduce the national debt. If the outlined changes are put into

SOVA2 [1]

Answer

Graph D represents the national debt of the country over the next years.

Solution-

The country's debt will decrease exponentially by one-third each year.

Current debt is $60 billion.

This problem can be treated as an exponential decay problem.

The general exponential decay function is,

$y=a(r)^{-x}$

Where,

a = initial value,

r = rate of change,

-ve sign of x represents the decrease in value of y as x increases.

Here, the rate of change is 3 as each year the debt becomes on third, and initial value of debt is $60, so

$y=60(3)^{-x}$

Plotting a graph taking number of year on x-axis and debt on y-axis, we can generate a graph for this function.

Putting different values of x, we can get the values of y. So the graph must have (0, 60), (1, 20), (2, 6.66), (3, 2.22), (4, 0.74), (5, 0.24) points on it.

Option B and C are incorrect, as they do not start from 60. (they don't have (0,60) on their curve)

Between option A and D, curve in D has all the points on it. So D is the correct graph.