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3 years ago

Please help me on this question

Mathematics

1 answer:

dusya [7]3 years ago

6 0

Answer:

My vote is for choice 3) ∠2, ∠3, ∠6 and ∠7

Step-by-step explanation:

Each of 2,3,6, & 7, when added to angle 5, add up to 180°

Do supplementary angles have to be adjacent to be supplementary?

No.

Explanation:

The answer is no, as for example:

angles on the same side of a non-parallel sides of a trapezoid and

opposite angles of a cyclic quadrilateral can be supplementary.

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A number is chosen at random from 1 to 10. Find the probability of not selecting

PilotLPTM [1.2K]

Answer:

0.3

Step-by-step explanation:

Number of ways of selecting r elements from a set of n different elements is given by

C(n,r)=(n r)=n!/(r!(n−r)!)

No of ways of selecting one number out of ten numbers from one to 10 is 10

It can also be calculated using

C(n,r)=(n r)=n!/(r!(n−r)!)

where n = 10 and r = 1

C(10,1)=(10 1)=10!(1!(10−1)!) = 10*9!/ 1!*9! = 10

multiples of 2 in range 1 to 10 are 2, 4, 6, 8 , 10

multiples of 3 in range 1 to 10 are 3, 6, 9

Therefore number which are multiple of 2 and 3 are

2, 3,4,6,8,9,10 ( 7 numbers)

therefore no of ways of selecting multiple of 2 and 3 is 7 ways

number which are not multiple of 2 and 3 in range 1 to 10

1,5,7 (3 numbers)

no of ways of not selecting multiple of 2 and 3 is 3 ways

It can also be calculated using

C(3,1)=(3 1)=3!/(1!(3−1)!)

where n = 3 and r = 1

C(3,1)=(3 1)=3!/(1!(3−1)!) = 3!/(1!(2)!)= 3*2!/ 1!*2! = 2

Therefore no of ways of not selecting multiple of 2 and 3 is 3 ways

probability of not selecting a multiple of 2 or a multiple of 3 = no of ways of not selecting multiple of 2 and 3 /No of ways of selecting one number out of one to 10 = 3/10 = 0.3

4 0

3 years ago

What kind of taxes are likely to pay for universities and police? a. local taxes b. state taxes c. federal taxes d. income taxes

shusha [124]

The best choice is B, state taxes !

7 0

3 years ago

Read 2 more answers

Write the numerical expression for the product of 8 and the sum of 9 and 11.3. Then evaluate it.

Klio2033 [76]

Answer:

162.4

Step-by-step explanation:

To write the numerical expression for the product of 8 and the sum of 9 and 11.3 we need to follow these steps:

Sum of 9 and 11.3 is given as follows:

$(9+11.3)$

Now the product of 8 and the sum of 9 and 11.3 is:

$8(9+11.3)$

So the required expression is:

$8(9+11.3)$

Solving the above expression we get:

$8(9+11.3)=8(20.3)=8 \times 20.3=162.4$

3 0

3 years ago

Read 2 more answers

Tom gets a bonus of 30% of £96. Sally gets a bonus of £31.40. Work out the difference between the bonus Tom gets and the bonus S

GarryVolchara [31]

Answer:

Tom's Bonus=£28.80

The difference in bonus rates is £2.60

Step-by-step explanation:

-Given Tom's bonus is 30% of £96

#We determine Tom's bonus in £s:

$B_T=0.3\times 96\\\\=\£28.80$

#From our calculations,Sally has a larger bonus than Tom:

$B_S>B_T\\\\B_S-B_T=31.40-28.80=\£2.60$

Hence, Tom gets a bonus of £28.80 and the difference in the bonus rates is £2.60

6 0

4 years ago

Sarah saw a hammer that was $3.50 more than twice the cost of a screwdriver. The hammer was $15.50. What was the cost of the scr

joja [24]

Answer:

Step-by-step explanation:

$15.50 is $3.50 more than $12. And $12 is twice $6. The cost of the screwdriver is $6.

7 0

3 years ago