Answer:
After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.
Step-by-step explanation:
Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.
Answer:
A, D, E
Step-by-step explanation:
Time is a function of temperature because there are no points where the x-value has more than one y-value.
There are two points where the temperature reaches 74 degrees.
Between 5 and 9 the temperature did not change.
Answer:
1.5 grams of protein.
Step-by-step explanation:
The equation that represents the relationship between protein and fat is as follows :
4p + 9f = 60 ....(1)
We need to find the grams of protein are there if there are 6 grams of fat in the snack.
Put f = 6 in the above equation (1).
4p + 9(6)= 60
4p + 54 = 60
Subtract 54 to the both sides,
4p + 54-54 = 60-54
4p = 6
⇒ p = 1.5 grams
It means the snack contains 1.5 grams of protein.
Answers:
0.45 is a moderate association
0.95 and -0.8 are both strong association
0.10 is weak association
Explanation:
This is the interpreation of the correltaion coefficient:
1) The correlaion coefficient assesses the relationship between two variables in a scatter plot.
2) If the sign of the correlation coefficient is positive means that the two variables trend to grow or decrease in the same sense. This is an uphill line or curve: if variable X grows, variable Y grows, and if variable X decreases variable Y grows.
If the sign of the correlation coefficient is negative means that the two variables go in opposite direction. This is a downhill line or curve.
3) A correlation coefficient of +1 or -1 is a perfect association. The two variables are totally associated.
4) A correlation coefficient less that +1 but greater than 0.7 is a strong association. The same with a coefficite between - 0.7 and -1.
5) A correlation coefficient arroun +0.5 or -0.5 is a moderate association.
6) A correlation coefficient of 0 is a nill association.
7) A correlation coeffiicient between 0 and 0.3 is a weak association. The same when the correlation coefficient is between -3 and 0.
Answer:
y=4x-6
Step-by-step explanation:
8x-2y=12
8x-2y-12=0
8x-12=2y
4x-6=y
