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Olin [163]
2 years ago
6

The size of angle aob is equal to 132 degrees and the size of angle cod is equal to 141 degrees. find the size of angle dob.

Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
8 0

angle AOB = 132 and is also the sum of angles AOD and DOB. Hence 
angle AOD + angle DOB = 132°    ---> 1 

angle COD = 141 and is also the sum of angles COB and BOD. Hence 
angle COB + angle DOB = 141°    ---> 2

Now we add the left sides together and the right sides of equations 1 and 2 together to form a new equation. 

angle AOD + angle DOB + angle COB + angle DOB = 132 + 141       ---> 3 

We should also note that: 
angle AOD + angle DOB + angle COB = 180° 

Therefore substituting angle AOD + angle DOB + angle COB in equation 3 by 180 and solving for angle DOB:
180 + angle DOB = 132 + 141 
angle DOB = 273 - 180 = 93° 

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Answer:

5 = 19 - 4v

Step-by-step explanation:

We are given the following in the question:

\text{Lyle's height} = 2( \text{Harry's height - Vince's height})

Let l be Lyle's height, h be Harry's height and v be Vince's height.

Thus, we can write:

l = 2(h-v)

Lyle's Height =

2\dfrac{1}{2}\text{ feet}

Harry's height =

4\dfrac{3}{4}\text{ feet}

Putting the value in the equation:

2\dfrac{1}{2} = 2(4\dfrac{3}{4}- v)\\\\\dfrac{5}{2} = \dfrac{19}{2} - 2v\\\\5 = 19 - 4v\\4v = 19-5\\\\v = \dfrac{14}{4}\\\\v = 3\dfrac{2}{4} = 3\dfrac{1}{2}

Thus, Vince's height is 3.5 feet.

7 0
2 years ago
What’s 4x4x2-4 in a fraction over 2
JulijaS [17]

Answer:

it should be 12/2 or 6 i believe

Step-by-step explanation:

4x4 = 8

8x2 = 16

16-4 = 12

8 0
2 years ago
The drama club members at Millie’s middle school are selling tickets to the school play. Millie wants to determine the average n
White raven [17]
The first sampling method is Convenient Sampling. It is biased sampling and it is not representative of a random sample.

The second sampling method is Systematic Sampling. If this method of sampling is drawn from the population, it is an efficiently randomized sampling method.

Let us review the given answers.

1. Both samples should be exactly the same.
   INCORRECT

2. Neither sample will be representative.
   Because the second sampling method can be random, this answer is
   INCORRECT.

3. The first sampling method, ..., is the most representative,
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3 0
1 year ago
Read 2 more answers
Manny is making 12 quarts of orange juice from concentrate and water. The number of quarts of water is 3 times the number of qua
trasher [3.6K]

Answer: There are 3 quarts of concentrate and 9 quarts of water.

Step-by-step explanation:

Since we have given that

Ratio of number of quarts of water to number of quarts of concentrate is

3:1

Number of quarts of orange juice from concentrate and water = 12 quarts

So, the number of quarts of concentrate would be

\dfrac{1}{4}\times 12\\\\=\dfrac{12}{4}\\\\=3\ quarts

the number of quarts of water would be

\dfrac{3}{4}\times 12\\\\=3\times 3\\\\=9\ quarts

Hence, there are 3 quarts of concentrate and 9 quarts of water.

8 0
2 years ago
2. In the product of (4a3 + 5a2 – 11a) and (-15 + 3a – 7a2), the co-efficient of a4 is …………………… .
vekshin1

Answer:

- 23

Step-by-step explanation:

We could do this the long way and expand the whole product or note that the a^{4} terms arise from the product of the a³ and a terms and the product of the a² and a² terms, that is

4a³ × 3a = 12a^{4}

+ 5a² × - 7a² = - 35a^{4}

Summing gives

12a^{4} - 35a^{4} = - 23a^{4}

with coefficient - 23

5 0
2 years ago
Read 2 more answers
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