Answer:
Step-by-step explanation:
C)3:2:6
BE is parallel to CD, therefore, m∠BEC=m∠ECD, therefore mBC=mDE
BE is the diameter, so Arc BE is 180 degree
mBC+mCD+mDE=180
replace mCD with 3mBC, and replace mDE with mBC: mBC+3mBC+mBC=180
5mBC=180
mBC=180/5=36
mCD=3mBC=3*36=108
the inscirbed angle m∠ECD= the measure of arc DE=36
Answer:
The correct option is B.
Step-by-step explanation:
Two triangle are similar if their corresponding sides are in the same proportion or the corresponding angles are same.
It is given that the ΔPQR is similar to ΔPTS. It means all corresponding angles are same.



Angle P can be defined as


Therefore option B is correct.



Therefore option A, C and D are incorrect.
Easy, showing work,
using the method FOIL (First,Outer,Inner, Last)
Take, (x+3)(x+5) and multiply,
First,
x*x=

Outer,
x*5=5x
Inner,
3*x=3x
Last,
3*5=15
Add the terms together,

+8x+15 (

+5x+3x+15)
Thus, your answer.
Answer:
c. 25
Step-by-step explanation:
100/12 = 8.3
8.3 × 3 = 24.9
rounded up is 25