Answer:
dilation with a scale factor of 3/2, centered at origin
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Rigid transformation are transformations that preserve the shape and size of an object. That means that they produce an image which is congruent to the object. Examples of rigid transformation is rotation, reflection and translation. Dilation is not a rigid transformation because it does not preserve the shape and size of the object.
All the transformation of the triangle will be congruent except the dilation with a scale factor of 3/2, centered at origin.
Option B. 13π/6 and Option D. 5π/6
To get the reference angle π/6 for the given angles we will check each angle given in the options.
A. 8π/6
Since 8π/6 means 240° which lies in 3rd quadrant. Therefore reference angle of 240°= 240-180 = 60° or π/3
B. 13π/6
13π/6 means 390° which lies in first quadrant.
Therefore reference angle = 390-360 = 30° or π/6
C. 3π/6
Since 3π/6 means 90° therefore reference angle of 90° is the same as 90°.
Or the reference angle is = π/2
D. 5π/6
5π/6 means angle is 150° which lies in second quadrant therefore reference angle of 150° = 180-150 = 30° or π/6
answer is Option B and D.
Arena B should host the game
Step-by-step explanation:
Arena A has 40000 seats
Arena B has 50000 seats
The people that have the tickets are 49000.
As we can see that 40000<49000 so Arena A is not suitable for hosting the game because 9000 people will be left.
For Arena B, 50000>490000, which means that 49000 people can easily be seated there. So,
Arena B should host the game
Keywords: Comparison, Operators
Learn more about comparison at:
#LearnwithBrainly
Answer:
43.25 feet.
Step-by-step explanation:
We have been given that school club needs 300 feet of rope for a project.
First of we will change given lengths of ropes in feet.
1 yard =3 feet
32 yards= 3*32 feet = 96 feet.
12.5 yards = 3*12.5 feet = 37.5 feet.
Let us find the amount of rope school already have by adding all the given amounts.
Now let us subtract 256.75 feet from 300 feet to find the amount of rope that school club needs to complete the project.
Therefore, the school club needs 43.25 feet of additional rope to complete their project.
The measure of angle F is 26 degrees or A. Triangle DEF is an isosceles triangle, with DE=DF. Using base angles theorem, we know that the measures of angles D and F are congruent. Therefore, angle F is 26 degrees.
