Notice the larger triangle is a right-triangle, and the small one is also a right-triangle. Also notice the "angle tickmark" on each. So both angles have a pair of angles that are equal on each.

the triangles are similar by AA.

3 0

3 years ago

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Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany . Find their ages.

Sholpan [36]

<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

$4x + 10 = 2(x + 10) \\ = 4x + 10 = 2x + 20 \\ = > 4x - 2x = 20 - 10 \\ = > 2x = 10 \\ = > x = \frac{10}{2} \\ = > x = 5$

So, Tiffany's present age = 5 years.
Emily's present age = (4×5) years = 20 years.

<h3><u>Answer:</u></h3>

Emily's age is 20 years and Tiffany's age is 5 years.

Hope it helps!

7 0

2 years ago

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Which is the graph of linear inequality 6x + 2y > –10?

Alecsey [184]

Hope it helps :) and let me know if you want me to explain why

6 0

3 years ago

Rewrite 163/4 in as many different ways as you can

VladimirAG [237]

There's an infinite number of ways we can rewrite 16 3/4, some of them being:

16 3/4
16 6/8
16 12/16
16 24/32
16.75
67/4
335/20
670/40
etc.

I hope it will help you ;)

4 0

3 years ago

Read 2 more answers