Vivian draws three right triangles. In each figure, she measures a pair of angles, as shown.
2 answers:
Answer:
B.In a right triangle, the acute angles are complementary.
Step-by-step explanation:
We are given that Vivian draws three right triangles.
In each figure , she measure a pair of angles.
We have to find conjecture which is reasonable for Vivian to make.
We know that in right triangle, one angle is always of 90 degrees.
We know that sum of angles of triangle is always 180 degrees.
If one angle is of 90 degrees then sum of remaining two angles
Sum of two angles +90=180
Sum of remaining two angles=180-90=90
Sum of remaining two angle should be equal to 90 degrees.
The sum of two angles is equal to 90 degrees then the angles are called complementary angles.
In each figure,
Sum of two angles in first figure=
Sum of two angles in second figure=
Sum of two angles in third angle=
Therefore, in a right triangle, the acute angles are complementary.
Answer:B.In a right triangle, the acute angles are complementary.
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Answer:
<em>Cathy was born in 1980 and she was 18 years old in 1998</em>
Step-by-step explanation:
<u>Equations</u>
This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.
Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as
In 1998, Cathy's age was
And it must be equal to the sum of the four digits
Rearranging
We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus
Operating
If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]
c=8, d=0
Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18