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3 years ago

Do the opposite angles in a parallelogram have the same measure please explain why

1 answer:

4 0

Yes, opposite angles in a parallelogram always have equal measures. This is a defined property of parallelograms and an easy way to check if the shape is one. Since a parallelogram has 4 angles and the 2 sets of sides are parallel, any 2 adjacent angles have a sum of 180 degrees. Using this, the 2 adjacent angles to any one angle must be opposite to each other and therefore equal.

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Given the scatter plot, choose the function that best fits the data.

Ahat [919]

Answer:

2x^2-3x-5=y

(2x-5)(x+1)=y

(2x-5)(x+1)=0

2x-5=0

2x=5

x=2.5

x+1=0

x=-1

Have a great day!

Step-by-step explanation:

7 0

3 years ago

PLEASE ANSWER ASASSP!!!!!!!!!!!!!!!!!!!! Sovle the equation 6 (y + 1.5) = -18 What is y?

Ede4ka [16]

Answer:

6(y+1.5)=-18

6y+9=-18 -9

6y=-27 ÷6

y=-4.5

Step-by-step explanation:

prove me wrong

7 0

3 years ago

Read 2 more answers

A coin collector has $45 in just dimes and quarters in a piggy bank he counted all the coins and there are 240 total how many ea

Whitepunk [10]

Answer:

The number of dimes are 100 and number of quarters are 140.

Step-by-step explanation:

Let the number of dimes be 'd' and quarters be 'q'.

Given:

The sum of amount is $45.

The total number of coins are 240.

1 dime = $0.10

∴ 'd' dimes = $\$0.10d$

1 quarter = $0.25

∴ 'q' quarters = $\$0.25q$

Now, as per question:

$d+m=240-----1\\0.1d+0.25q=45---2$

Multiplying equation (1) by -0.1 and adding the result to equation (2), we get:

$-0.1d-0.1q=240\times -0.1\\-0.1d-0.1q=-24\\0.1d+0.25q=45\\-----------\\0.15q=21\\q=\frac{21}{0.15}=140\\\\d=240-q=240-140=100$

Therefore, the number of dimes are 100 and number of quarters are 140.

7 0

3 years ago

You want to estimate the probability that a lightbulb of a famous brand will last more than 6.500 hours. You choose 10,000 bulbs

brilliants [131]

Answer/Step-by-step explanation:

(a) The likelihood function to estimate this probability can be written as:

mat[1000, 9800]p9580(1 - p)420

(b) The value of the maximum likelihood estimate of the probability 0.958(By taking log of expression in (a) above)

Therefore, the likelihood is p(9800) = mat[10000, 9800]p9800(1 - p)200

(d) Method of moments estimate is the estimation of all the parameters of the population sample.

(e) The statement is FALSE because estimates by the method of moments are not necessarily sufficient statistics, because sometimes fail to take into account all relevant information in the sample. As in the above question

4 0

3 years ago

Jamie received £26 pocket money last week. He spent it as follows: 10% on sweets, 25% on magazines 15% on games How much did Jam

navik [9.2K]

Answer:

Total money left with Jamie = £13

Step-by-step explanation:

Jamie received pocket money = £26

He spent on sweets = 10% of total pocket money

Expense on magazines = 25% of the total money

Expense on games = 15% of the pocket money

Total expenditure on sweets, magazines and games = $\frac{10}{100}+\frac{25}{100}+\frac{15}{100}$