BA and BD are radii of the circle, so triangle ABD is isosceles. Then angles BDA and BAD are congruent, and the remaining (central) angle ABD has measure

$m\angle ABD=(180-2\cdot20)^\circ=140^\circ$

Angles ABD and CBD are supplementary, so

$m\angle CBD=(180-140)^\circ=40^\circ$

and the answer is E.

8 0

3 years ago

You and a friend go to surf taco for lunch. you order 3 soft tacos and 2 burritos and your total bill is 25. Your friend bill is

Salsk061 [2.6K]

Answer:

Step-by-step explanation:

Let the cost of one soft taco = s

Let the cost of one burrito = b

So we have this system

3s + 3b = 11.25

4s + 2b = 10.00 (1)

Divide the first equation through by 3 and we have that

s + b = 3.75 subtract b from both sides

s = 3.75 - b (2)

Sub (2) into (1) and we have

4 (3.75 - b) + 2b = 10.00 simplify

15 - 4b + 2b = 10.00

-2b + 15 =10.00 subtract 15 from both sides

-2b = - 5.00 divide both sides by -2

b = 2.50

And using (2)

s = 3.75 - 2.50 = 1.50

So... a soft taco 1.50 and a burrito is 2.50

6 0

2 years ago

Tell whether the sequence 1/3, 0, 1, -2 ... is arithmetic, geometric, or neither. Find the next three terms of the sequence.

max2010maxim [7]

Answer:

A. neither; 7, -20, 61

Step-by-step explanation:

The sequence 1/3, 0, 1, -2 ...

The difference between the terms are; -1/3, 1, -3......

Looking the difference between consecutive terms in the sequence, we can predict the next differences between the following terms, as the differences form a geometric sequence;

Therefore; -1/3, 1, -3, 9, -27, 81

Thus; the sequence will be;

1/3, 0, 1, -2 , (-2+9), (-2+9+-27), (-2+9+-27+81)

1/3, 0, 1, -2, 7, -20, 61

Hence the next three terms are; 7, -20, 61

6 0

3 years ago