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:
y = 2x
Step-by-step explanation:
Maria uses 2 centimeters of tape for each present she wraps, and we want a equation that shows the relationship between the number of presents x and the tape used y. To do this, we can establish a rule of three with the information given:
1 present wrapped -> 2 centimeters of tape
x presents wrapped -> y centimeters of tape
1/x = 2/y
x = y/2 -> y = 2x
From this relation, we know that to make x presents, Maria will use 2x centimeters of tape.
Answer:
25/4
Step-by-step explanation:
Multiplying numerators gives 4950 and multiplying denominators gives 792. 4950/792. simplify to get simplest form as 25/4
Answer:
Option 2 is correct that is (-1,4)
Step-by-step explanation:
We will use the section formula to find the coordinates of T
Formula is 
Here, 
On substituting the values in the formula we get
Therefore, option 2 is correct that is (-1,4)
