We know that:
∠ABC=∠BCA=xº
∠BDC=∠BCD=xº
1) we have to find the angle ∠DBC:
∠BDC+∠BCD+∠DBC=180º
xº+xº+∠DBC=180º
2xº+∠DBC=180º
∠DBC=180º-2xº
2) we have to find the angle ∠ABD:
∠ABD=∠ABC-∠DBC
∠ABD=xº-(180º-2x)
∠ABD=xº-180º+2xº
∠ABD=3xº-180º
Answer: ∠ABD=3xº-180º
32%, because you divide 8 by 25, which is 0.32. You then multiply it by 10 to achieve the percentage.
#4
White block(s) = 2
Red block(s) = 1
Purple block(s) = 3
Total = 2 +1 + 3 = 6 blocks
a) P(white) =

P(red) =

P(purple) =

b)Not white block:
1 -

OR

Because, when they say no white blocks, we simply do not count them and add the rest to find that probability without white blocks.
c) The probability stays the same: lets say now we have
4 white blocks, 2 red, and 6 purple, total will be 12
P(white)=

which is still

d) We get two more blocks in the numerator: lets say we have 4 white blocks, 3 red, 5 purple (after adding 2 of each color), total will be 12
P(purple)=

(im not quite sure if my explanation here helps you though)
e) 1 more of white and purple, 5 more of red
white = 3, purple = 4, red = 6, total = 12
(you can either add 2 to white or purple but make sure you add 5 of red)
P(red)=

=
Answer:
Step-by-step explanation:
x+5=0
x=-5
-5) 16 80 1 5
| -80 0 -5
____________
| 16 0 1 | 0
quotient=16x²+1
Remainder=0