Answer:
12
Step-by-step explanation:
The given ratio is ...
tulips : violets = 5 : 6 = 10 : 12 . . . . . . . .multiply by 2
This tells us that maintaining the ratio will require 12 violets to be added for an addition of 10 tulips.
The correct statement which is true about angle 3 and 5 is, they are supplementary.
Step-by-step explanation:
- Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent as they are supplementary.
- Supplementary Angles are Supplementary when the two angles are add up to 180 degrees.
- Examples of supplementary angles are 60° and 120°.
- Two lines are parallel when their slopes are equal. In order to see if the two lines are parallel, we must compare their slopes.
- A transversal is also known as a line segment, that intersects two or more other lines or also a line segments. When a transversal intersects parallel lines many angles are formed, which are known as congruent.
- If two parallel lines are intersected by a transversal, the corresponding angles are congruent.
- If two lines are intersected by a transversal, the corresponding angles are called as congruent i.e the lines are parallel.
Philip is 5 years old and Jon is 19 years old now.
Step-by-step explanation:
Step 1 :
Let x be the age of Philip Now
Since Jon is 14 years older than Philip,
Age of Jon = 14 + x
Step 2 :
After 2 years,
Age of Philip = x+ 2
Age of Jon = 14+x+2 = 16+x
Step 3 :
Given that in 2 years, Jon will be 3 times as old as Philip.
So we have 16 + x =3(x+2)
=> 16 + x = 3x +6
=> 2x = 10 = x = 5
Hence age of Philip is 5 years
Age of jon = x + 14 = 5+ 14 =19 years