Answer:
12
Step-by-step explanation:
These triangles are similar using the AA theroem. This means there sides are in corresponding proportion.
Side AR and Side TE are corresponding. Use this proportion.

This side the triangle SAR side lengths are 3/4 of side lengths of triangle SET.
We know that RS+ST=21
And that RS=3/4(ST).


x=12.
Side ST is 12
Answer:
Note that the tangents to the circles at A and B intersect at a point Z on XY by radical center. Then, since∠ZAB=∠ZQA and ∠ZBA=∠ZQB. ∠AZB+∠AQB=∠AZB+∠ZAB+∠ZBA=180°. ∴ZAQB is cyclic.But if O is the center of w, clearly ZAOB is cyclic with diameter ZO, so ∠ZQO is 90° ⇒Q is the mid-point of XY.Then, by Power of a Point, PY· PX = PA · PB = 15 and it is given that PY+PX = 11. Thus,PX=(11±
)/2. So, PQ=
, PQ²=
. Thus, the answer is 61+4=65.
Step-by-step explanation:
Answer:
Below in bold.
Step-by-step explanation:
i) Amount = 15000(1 + 0.10)^2 = 18,150.
Interest = 3,150.
ii) Amount = 15620(1 + 0.08/2)^(3/2*2)
= 15620(1 + 0.04)^3
= 17,570.38.
Interest =1,950.38.
iii) Amount = 100000(1 + 0.04/4)^(3)
= 100000(1 + 0.01)^3
= 103,030.1
Interest = 3030.1.
No because y=5 is a horizontal line on a graph, in this scenario the x-values would stay the same
I think it would be D hope it helps!!!