Answer:
Ethan rollerbladed each day 
kilometers.
Step-by-step explanation:
Given:
Ethan rollerbladed a total of 623 km over d days.
Now, to find the kilometers Ethan rollerblade each day.
Total number of distance rollerbladed = 623 km.
Total number of days = 
<u><em>As, Ethan rollerbladed each day the same distance.</em></u>
Now, to get the distance Ethan rollerbladed in each day we divide total number of distance rollerbladed by total number of days:
Therefore, Ethan rollerbladed each day kilometers.
Answer:
(A)6 kilometers
Step-by-step explanation:
First, we determine the value of a using Pythagoras Theorem.
Therefore:
Distance along the long route = 8 + 15 =23 km
Distance along the shortcut =17 km
Difference =23-17 =6km
Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.
Answer:
0.0740R
Step-by-step explanation:
The Number is repeating.
Answer:
The correct options are;
D. Triangles ABC and A'B'C' are congruent
E. Angle ABC is congruent to angle A'B'C'
F. Segment BC is congruent to segment B'C'
H. Segment AQ is congruent to segment A'Q'
Step-by-step explanation:
The given information are;
The angle of rotation of triangle ABC = 60°
Therefore, given that a rotation of a geometric figure about a point on the coordinate plane is a form of rigid transformation, we have;
1) The length of the sides of the figure of the preimage and the image are congruent
Therefore;
BC ≅ B'C'
2) The angles formed by the sides of the preimage are congruent to the angles formed by the corresponding sides of the image
Therefore;
∠ABC ≅ ∠A'B'C'
3) The distances of the points on the figure of the preimage from the coordinates of the point of rotation are equal to the distances of the points on the figure of the image from the coordinates of the point of rotation
Therefore;
Segment AQ ≅ A'Q'.
