Answer:
Step-by-step explanation:
In ΔBCA and ΔDCA,
BC ≅ CD Given
∠BCA ≅∠DCA Given
AC ≅ AC Reflexive property
ΔBCA ≅ ΔDCA S A S congruent
∵ BA ≅ AD CPCT {Corresponding part of congruent triangle}
Answer:
v= 18
Step-by-step explanation:
Subtract 8 from both sides. This yields 18 = v, or v = 18.
Answer:
4.9 & 4.2
Step-by-step explanation:
First, we will have to define mode,
“Mode is the most frequently occurring value of the given data.”
The value with the greatest frequency is called mode. In order to find mode, we have to skim through the data. The value which is repeated most is the mode of the given data. A data can have more than one modes.
For the above data,
4.9 is repeated 3 times.
4.2 is repeated 3 times.
These both numbers have highest frequency in the data.
So the modes are 4.9 and 4.2 ..
Based on the definition of supplementary angles and linear pair, a counterexample to the statement is: option B.
<h3>What are Supplementary Angles?</h3>
If two angles add up to give 180 degrees, they are regarded as supplementary angles.
<h3>What is a Linear Pair?</h3>
A linear pair is two adjacent angles that share a common side on a straight line, and have a sum of 180 degrees. Linear pair angles are supplementary angles.
In the image given, figure D is a perfect example of a linear pair that are supplementary.
However, in figure B, we have two angles that are not adjacent angles on a straight line but are supplementary angles.
Therefore, a counterexample to the statement is: option B.
Learn more about supplementary angles on:
Answer:
Figure 1 (Top left)
△UVS ≅ △EON
Figure 2 (Bottom left)
△GHO ≅ △CAT
Figure 3 (Top right)
△ACB ≅ △EFD
Figure 4 (Bottom right)
△PRQ ≅ △VWX
Reason:
In Angle-Side-Angle congruence axiom, the congruent side must be included in between the 2 congruent angles [the reason is the same for all the above figures].
Hope it helps ⚜
