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grin007 [14]
3 years ago
6

Point B is the center of a circle, and AC is a diameter of the circle. Point D is a point on the circle different from A and C.

If angle BDA = 20 degrees, what is the measure of angle CBD? Answer choices: a) 70 degrees b) 20 degrees c) 120 degrees d) 140 degrees e) 40 degrees

Mathematics
1 answer:
seropon [69]3 years ago
8 0

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.

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Write the expresion in simplest form<br> (-11/2x+30)-2(-11/4x-5/2)
qwelly [4]

The simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35

<h3>How to simplify the expression?</h3>

The expression is given as:

(-11/2x+30)-2(-11/4x-5/2)

Expand the bracket

-11/2x + 30 + 11/2x + 5

Collect the like terms

11/2x -11/2x + 30 + 5

Evaluate the like terms

35

Hence, the simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35

Read more about expressions at:

brainly.com/question/723406

#SPJ1

4 0
2 years ago
Herber read a total of 36pages in 2 hours. Later on, he read 90 pages in 5 hours. How many pages did Herber read each hour.
Lady_Fox [76]

Answer:

18 pages per hour.

If you do 36 (the pages/amount) divided by 2 (The time), you get 18.

To double check, when you do 90 (The pages/amount) divided by 5 ( The time), then you get 18 again.

Therefore the answer is 18 pages per hour.

(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!

- •Trix•

( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

6 0
3 years ago
You are the new manager at Taco bell. A customer told you that they had to wait 13 minutes for their food.You approach your staf
Nady [450]
3900 ㅤ
Yes, it is unusual

ㅤ
6 0
2 years ago
Look and solve plz herhenh
vodomira [7]

Answer:

s = 33

Step-by-step explanation:

99=3s

(99/3) = s

s=33

5 0
3 years ago
A 20% solution of fertilizer is to be mixed with a 50% solution of fertilizer in order to get 180 gallons of a 40% solution. How
anyanavicka [17]

Answer: 60 gallons of the 20% solution and 120 gallons of the 50% solution should be mixed.

Step-by-step explanation:

Let x represent the number of gallons of 20% solution that should be mixed.

Let y represent the number of gallons of 50% solution that should be mixed.

A 20% solution of fertilizer is to be mixed with a 50% solution of fertilizer in order to get 180 gallons of a 40% solution. This means that

0.2x + 0.5y = 0.4×180

0.2x + 0.5y = 72- - - - - - - - - - - -1

Since the total number of gallons is 180, it means that

x + y = 180

Substituting x = 180 - y into equation 1, it becomes

0.2(180 - y) + 0.5y = 72

36 - 0.2y + 0.5y = 72

- 0.2y + 0.5y = 72 - 36

0.3y = 36

y = 36/0.3

y = 120

x = 180 - y = 180 - 120

x = 60

4 0
3 years ago
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