Answer:
These two triangles are congruent.
Step-by-step explanation:
You know this bc the markings on the drawing show that Angle B and Angle D are congruent. Also that AB is parallel to CD. This means that Angle BAC and Angle DCA are congruent by ALTERNATE INTERIOR ANGLES. Also, AC is congruent to itself. That makes the two triangles congruent by ANGLE-SIDE-ANGLE.
Now, you need to know that "congruent" triangles (and shapes in general) are the same size and shape. "Similar" triangles (shapes) are the same shape but not necessarily the same size.
Step-by-step explanation:
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Answer: Conditional frequencies enables users to get more specific information when analyzing a dataset.
Step-by-step explanation: Frequency refers to the count of occurrence of a particular variable.
Relative frequency is obtained by taking the ratio of the counts a particular variable and the total counts and of all available variables in the experiment or data.
Conditional Frequency allows us to input additional constraints to our frequency counts, especially in a two-way table. Enabling us to get more specific information by using conditional statements.
1) 3/5=9/x (cross multiply<span>)
3x=5(9)
3x=45
x=15
2) </span>2/4=x/12 (cross multiply<span>)
</span> 2(12)=4x
24=4x
<span> 6=x
</span>3) 10/x=5/9 (cross multiply<span>)
10(9)=5x
90=5x
18=x
</span>
4) 5/6=x/18
5(18)=6x
90=6x
x=15