Given:
The figure of a trapezium.
To find:
The measures of missing angle
.
Solution:
In the given figure
.
If a transversal line intersect the two parallel lines, then the same sides interior angles are supplementary angles.
(Supplementary angles)



Similarly,
(Supplementary angles)



Therefore,
and
.
Step-by-step explanation:
From the Pythagorean theorem we have:
<em>subtract b² from both sides</em>

Same:

Answer:
A. negative correlation
Step-by-step explanation:
Let two variables x and y, the correlation coefficient r measure to what degree the variables x and y are related.
--- If this coefficient is positive then the relationship will be positive. This means that even an increase in the variable x will produce an increase in the variable y. In the dispersion diagram the points will be grouped, simulating a line of positive slope.
--- If this coefficient is negative then the relation will be negative. This means that even an increase in the variable x will produce a decrease in the variable y. In the dispersion diagram the points will be grouped, simulating a negative slope line.
In the diagram shown it can be noted that as the variable x increases the variable y decreases.
Therefore it can be concluded that the correlation between x and y is negative. The correct option is option A
Since the triangles are similar the ratios of the lengths of corresponding sides are equal.
tan Q = opp/adj = RS/QS = YZ/XZ = 9/12 = 3/4
Answer: ok
Step-by-step explanation: