Answer:
Lines are parallel if the sum of external angles of same side is 180°.
Step-by-step explanation:
Let one of the external angle is α°.
and other external angle is β° which is equal to α°/11. (∵ Given on is 11 times smaller than the other.)
Also β° = 1/6 of the right angle = (1/6)×90° = 15°.
β° = α°/11 , ⇒ α° = 11×β° = 11×15° = 165°.
α°+β° = 165° + 15° = 180°.
Here, sum of the two external angles = 180° ⇔ the given lines are parallel.
Answer:
26.1miles
Step-by-step explanation:
If three cities A, B and C form a right triangle on a map, and the Cities B and C are the furthest apart, then the distance between cities B and C will be the hypotenuse of the triangle.
If cities A and B are 14 miles apart, then |AB| = 14miles
Also if cities A and C are 22 miles apart, then |AC| = 22miles.
To get |BC| which is the distance between cities B and C, we will use the Pythagoras theorem.
|BC|² = |AB|² + |AC|²
|BC|² = 14²+22²
|BC|² = 196+484
|BC|² = 680
|BC| = √680
|BC| = 26.1miles
This means that cities B and C are 26.1miles apart
An octagon has 8 sides, a rotation of 45° (360°/8) will map the octagon onto its preimage. Answer is 8.
Answer:

$3750
Step-by-step explanation:
Given that:
Jay saves
of the savings account for his college education.
Money set aside for the college education = $2500
To find:
Total money present in the savings account of Jay = ?
Solution:
Let the total money in the savings account be $
.
As per question statement:

The equation to model the problem is:

Now, let us solve the above equation:

Total money saved in the savings account is $3750.
Out of the total money $2500 is saved for college education.
The answer is B because if you convert all of them to decimals you get it in that order.