What is the greatest common factor of 180 and 240
2 answers:
<h3>What is the greatest common factor of 180 and 240?</h3>
The greatest common factor (GCF) is also known as greatest common divisor (GCD).
First we have to find the prime factorization of 180
180 = 2² × 3² × 5
Then we have to find the prime factorization of 240
240 = 2⁴ × 3 × 5
Now we have to multiply the common factors to both numbers with less exponent.
GCF = 2² × 3 × 5 = 60
Answer : GCF(180,240) = 60
Hope this helps!
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Answer:
The translation from triangle IJK to triangle I'J'K' is which is 2 units to the right and 6 units up
Step-by-step explanation:
The coordinates of triangle JKI are;
J has coordinates (1, - 1)
K has coordinates (1, - 4)
I has coordinates (-3, - 2)
While, the coordinates of translation triangle J'K'I' are;
J' has coordinates (3, 5)
K' has coordinates (3, 2)
I' has coordinates (-1, 4)
Which give the translation as follows
Translation in the y-coordinate (y values);
For J = 5 - (-1) = 6
For K = 2 - (-4) = 6
For I = 4 - (-2) = 6
Translation in the x-coordinate (x values);
For J = 3 - 1 = 2
Therefore, the translation from triangle IJK to triangle I'J'K' is T(2, 6) which is 2 units to the right and 6 units up