Answer: 164.45
Step-by-step explanation:
x= | 1 < x < 3
x + 2 < 5 and x - 7 > -6
x < 5 - 2 and x > -6 + 7
I don't know if I am 100% right.
Answer:
A and B
Step-by-step explanation:
Each side in Chloe's triangle is 1.5 times the length of each side in Juan's triangle. Thus, they are 'similar' by the <u>math </u>definition of that word, by the SSS Rule for Similar Triangles.
That means they are different only in size. So, their angle measures are the same and they are the same shape.
A and B are true.
C is never true, because the sum of all 3 angles in a triangle is always 180°.
D is not true, because they are similar.
<u>Question 1</u>
If we let 
, then 
.
Also, as 
bisects 
, this means 
.
Thus, by the intersecting chords theorem,
However, as distance must be positive, we only consider the positive case, meaning FE=9
<u>Question 2</u>
If we let CE=x, then because AB bisects CD, CE=ED=x.
We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.
By the intersecting chords theorem,
However, as distance must be positive, we only consider the positive case, meaning CE=8
The second option is correct, I,e what you've chosen
