Option 3 is not possible
-60.2 + 32 = -60.2 + 60
And these are not equal
Rest all options have x and are solvable
Must click thanks and mark brainliest
Problem 1
We're given that angle A = angle B. Also that angle B = angle C.
By the transitive property, we can say angle A = angle C.
So basically all three angles are equal to one another. Let's call that unknown angle x.
For any triangle, the three angles always add to 180, so,
x+x+x = 180
3x = 180
x = 180/3
x = 60
That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.
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Problem 2
As mentioned in problem 1, the three angles of a triangle add to 180
A+B+C = 180
A+B+90 = 180
A+B+90-90 = 180-90
A+B = 90
This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.
Answer:
Option C is the correct answer
Step-by-step explanation:
Answer:
In a meeting there are 2 Arequipeños, 2 Trujillanos, 3 Piuranos and 4 Limans. In how many different ways can they be placed in a row so that those of the same city are together?
Step-by-step explanation:
Answer:
A) Same shape
C) Similar
Step-by-step explanation:
The figure is missing: find it in attachment.
Here we want to compare the two triangles: Let's analyze each statement.
A) Same shape --> TRUE
In fact, we see that the 3 angles of the two triangles are the same: therefore, the two triangles have same shape.
B) Congruent --> FALSE
Two triangles are said to be congruent if they have same sizes and same angles: here we see that they do not have the same sizes, so they are not congruent.
C) Similar --> TRUE
Two triangles are said to be similar if the proportions between their sides are the same.
For the triangles in the figure, we see that this is valid. In fact, the ratio of the 3 sides for the triangle on the left is 10:8:6, while the ratio for the triangle on the right is 20:16:12, which can be reduced to 10:8:6: therefore, the same ratio.
D) Same size --> FALSE
As we see, the two triangles do not have the same size.
