First we must change these numbers to improper fractions:
So then we set it up:
÷ 
When we divide fractions like this, we must flip the second fraction and change the sign from division to multiplication like so:
Then we solve:
Then if we divide the numerator and the denominator by 9, we get:
or, in mixed-number form, 
.
Happy New Year from MrBillDoesMath!
Answer:
Proof by ASA congruence postulate. See below
Discussion:
Fact 1 : angle A = angle T (given)
Fact 2: The angles on both sides of point X are equal as vertical angles
are equal.
From these facts it follows that angle M = angle H (as all plane triangles have 180 degrees). Also AM = TH (given) so
In the left triangle In the right triangle
(angle M, side AM, angle A) = (angle H, side TH, angle T)
Hence the triangles have two congruent angles, and congruent sides included between the angles, so they are congruent by ASA.
Thank you,
MrB
Answer:
나는 대답이 글꼴 알고 있다고 생각한다.나는 대답이 글꼴 알고 있다고 생각한다.
Given:
27y and 54y³
To find:
The highest common factor (HCF) using prime factorization.
Solution:
We have,
27y and 54y³
Using the prime factorization, we get
Now, the common prime factors are 3, 3, 3 and y. So,
Therefore, the highest common factor of the given terms is 27y.
