77 unicorns, because yesterday the ratio was 6:5 and today it is 3:4. If you add the numbers for both ratios together, you get 11 and 7. Finding the LCM of these two gives 77 (because 7 and 11 are both prime).
You find the LCM of the sums because when you find values based on ratios, you divide value by the sum of the ratio.
e.g. I have 100 fruits. The ratio of apples to oranges is 2:3. How many apples are there?
To solve this you'd add 2 and 3 (5), divide 100 by 5 (20), multiply that by 2 (40) because that's the ratio of apples to oranges.
In this case, you do the reverse. So If I have 77 unicorns, then yesterday there were (77/11 = 7, 7*6= 42, 7*5= 35) 42 green unicorns and 35 yellow. The sum of 42 and 35 is 77. If you do this process with the other ratio you'll get similar results as well.
The answer would be : A parallelogram with congruent sides does NOT guarantee that a quadrilateral is a rectangle
The congruency statement which is true among the answer choices is;
- On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.
- Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.
<h3>Which congruency statement is true?</h3>
According to the task content, the initial transformation is; Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis.
On this note, the congruency which are true regarding the transformation are;
- On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.
- Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.
This follows from the fact that the transformation.does not involved dilation by means of a scale factor and hence, size remains equal and all angle measures remain the same.
Read more on triangle congruence;
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A^2 - 6a/a-6 • a+3/a
a(a - 6)/(a - 6) • a+3/a
a • (a + 3)/a
a(a+3)/a
a+3.
The correct solution to this question would be B. a+3.