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ivolga24 [154]
3 years ago
13

6. If m∠COD=8x+13, m∠BOC=3x-10, and m∠BOD=12x-6, find m∠BOD

Mathematics
1 answer:
Ahat [919]3 years ago
4 0

Answer:

Step-by-step explanation:

Given

m∠COD=8x+13,

m∠BOC=3x-10, and

m∠BOD=12x-6

The following addition property is true;

<BOD = <BOC + <COD

Substitute

12x-6 = 3x-10+8x+13

12x-6 = 11x+3

12x-11x = 3+6

x = 9

Get <BOD

<BOD = 12x-6

<BOD = 12(9)-6

<BOD = 108-6

<BOD = 102°

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F(x) = -5x - 4

g(x) = 6x - 7

f(x) + g(x) = (-5x-4) + (6x-7)

f(x) + g(x) = x - 11
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3 years ago
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A cinema has three screens last Saturday there were 500 visitors 40% went to screen 1 ,25% went to screen 2 the rest went to scr
ratelena [41]

Answer:

200 visitors went to screen 1.

125 visitors went to screen 2.

175 visitors went to screen 3.

Step-by-step explanation:

We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.

500*\frac{40}{100} =5*40=200

Therefore, 200 visitors went to screen 1.

Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.

500*\frac{25}{100} =5*25=125

Therefore, 125 visitors went to screen 2.

Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.

500-(200+125)

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7 0
3 years ago
To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $4 per hour. The chemistry c
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Answer:

t = 5

Step-by-step explanation:

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  2. 4t = 20 Subtract 19 from 39
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The cost of renting a car is $46/week plus $0.25/mile traveled during that week. An equation to represent the cost would be y=46
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The answer for part a is $60.25, for part b the answer is 76 miles, and for part c the answer is 216 miles.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The equation to represent the cost would be y=46+0.25x

x is the number of miles.

a) What is your cost if you travel 57 miles?

Plug x = 57 in the above equation:

y = 46 + 0.25(57)

y = $60.25

b) If your cost was $65.00, how many miles were you charged for traveling?

Plug y = 65 in the equation:

65 = 46 + 0.25x

x = 76 miles

c) Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?

Plug y = 100 in the equation:

100 = 46 + 0.25x

x = 216 miles

Thus, the answer for part a is $60.25, for part b the answer is 76 miles, and for part c the answer is 216 miles.

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