Are the triangles congruent?? Justify the answer
2 answers:
Answer:
the triangles are congruent
Step-by-step explanation:
method 1: Angle-Angle-Angle congruency test
angle BAC = angle DEC(given)
angle ABC = angle EDC
angle BCA = angle DCE
method 2: Side Angle Side Congruency test
BC = DC (both are 4 cm)
angle BCA = angle DCE (vertically opp. angles, straight lines intersect)
AC = EC (both are 6 cm)
side note:
1. when testing for congruency and giving the different congruency test, always ensure that the sides or angles mentioned are in corresponding order of the congruent triangles.
2. see that from the explanation given i do not anyhow mix up the sides with any sides or mess up points with any points(will show drawing of an example of what i mean)
pls dont mind the ugly handwriting as well since i dont have a stylus
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Answer:
4
Step-by-step explanation:
Given that At the pet owner’s meeting, there are 20 people who own dog, and 35people who own cat and 9 people own goldfish. Some people own both catand dog and some people own both gold fish and cat. No dog owners owngoldfish. There are twice as many people who own both goldfish and catthan people who own both dog and cat.
Total no of people =52
The venn diagram attached gives a clear picture
assuming x to be owners of both dog and cat. Then 2x is for both goldfish and cats.
Totalling all mutually exclusive we get
64-3x=52
x=4
No of owners who own both cat and dog =4
