What is the volume of metal in the pipe? Use 3.14 for a and
2 answers:
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<h3><u>Question</u><u>:</u></h3>
Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.
<h3><u>Solution</u><u>:</u></h3>- Let the age of Tiffany be x years.
- Then, the age of Emily = 4x years.
- After 10 years, the age of Tiffany will be (x+10) years.
- After 10 years, the age of Emily will be (4x+10) years.
- Therefore, by the problem
- So, Tiffany's present age = 5 years.
- Emily's present age = (4×5) years = 20 years.
Emily's age is 20 years and Tiffany's age is 5 years.
Hope it helps!
<u>Question 2</u>
1) (given)
2) (reflexive property)
3) are right angles (perpendicular lines form right angles)
4) are right triangles (a triangle with a right angle is a right triangle)
5) (HL)
<u>Question 3</u>
1) is a right angle,
(given)
2) is a right angle (perpendicular lines form right angles)
3) are right triangles (a triangle with a right triangle is a right angle)
4) (reflexive property)
5) (HL)
6) (CPCTC)
7) bisects
(if a segment splits an angle into two congruent parts, it is an angle bisector)