Answer:
The answer is: 1. 5 minutes and 2. 133.3 meters
Step-by-step explanation:
To find how long it takes the cyclist to travel 2km at 24km / hour, set up the equation and cross multiply:
2 / 24 = x / 1
24x = 2
x = 2/24 = 1/12 of an hour or 60 / 12 = 5 Minutes.
To find how far he travels in 20 seconds:
Multiply 24 km by 1000 to get meters per hour. Divide by 3600 to get meters per second:
24000 / 3600 = 6.6 meters per second.
Multiply by 20 seconds to get the distance traveled in 20 seconds:
6.6 * 20 = 133.3
Answer:
(C) Perpendicular bisector theorem
Step-by-step explanation:
(A) Right angle theorem : The right angle theorem states that if two angles are supplementary and congruent, then these two angles are right angles.
(B) Converse of perpendicular bisector theorem: The converse of perpendicular bisector theorem states that If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of that segment.
(C) Perpendicular Bisector Theorem: The Perpendicular Bisector Theorem states that If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
(D) Pythagorean theorem: The Pythagorean theorem states that in the right angled triangle, the square of the hypotenuse of the triangle is equal to the sum of the squares of the other two sides that is:

Since, the given statement is the statement of the Perpendicular bisector theorem, thus option C is correct.
The answer is 83 1/4 if u are adding them all-
Answer:
9
Step-by-step explanation:
Find the factors of each number
18 - 1, 2, 3, 6, 9, 18
36 - 1, 2, 3, 4, 6, 9, 12, 18, 36
45 - 1, 5, 9, 45
The highest common factor is 9. So there is 9 boxes in a pack.
Answer:
The correct option is 3. The value of x is 8 inches.
Step-by-step explanation:
It is given that Figure A is dilated by a scale factor of 1/2 to form Figure B. It means both figure are similar and corresponding sides of similar figures are proportional.


Multiply both sides by 16.


Since scale factor is 1/2, so we can directly say that the side length of image is half of the corresponding side of preimage.
The length of x is 8 inches. Therefore the correct option is 3.