Find the angle measures. Justify your responses.
m
a
21
34
b
65
7/8
Given: a 1b, m_2=3x +20°,
m27=2x -10°
Find: m3, m26
mZ3 =
=
m26=
=

Answer:

The nth term of the sequence is -5n + 2 (or 2 - 5n)

Answer:

[tex]a_{n}[/tex] = - 5n + 2

Step-by-step explanation:

There is a common difference between consecutive terms , that is

- 13 - (- 8) = - 18 - (- 13) = - 5

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = - 5 , then

[tex]a_{n}[/tex] = - 3 - 5(n - 1) = - 3 - 5n + 5 = - 5n + 2

Answer: 35.067 or 36, depending on if you need to round or not.

Step-by-step explanation:

The equation for how many bolts the pattern maker needs can be represented as 15x = 526. To find x, divide 526 by 15. 526/15 = 35.067. If you need to, round up to the nearest whole number. 35.067 rounds to 36.

Answer:

AUB={1,2,3,4,5,7,8,9}

ALL THE NUMBERS WITHOUT REPEATING

AnB={5}

THE NUMBER THE HAVE IN COMMON

(AnB)n(BnC)={5}not too sure

CUD={1,3,6,7,8,10}

Answer:

150 cm square

Hope this helps!

Answer:

they are not independent

Step-by-step explanation:

they are not independent they would be independent if they didn't depend on each other or if the probability didn't affect the other.

Answer:

9.72

Step-by-step explanation:

1.8 x 1.8 x 3 = 9.72

Answer:

[tex]a_n=-1+(n-1)(-2)[/tex]

Step-by-step explanation:

The arithmetic sequence formula looks like this:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.

Each consecutive term is decreased by 2 over the last, so d = 2. The first term is -1 of course, so you can write this equation:

[tex]a_n=-1+(n-1)(-2)[/tex]

Just to confirm:

[tex]a_n=-1+(n-1)(-2)\\a_3=-1+(2)(-2)\\a_3=-1-4\\a_3=-5[/tex]

And it works, -5 is the 3rd term in the sequence.

Answer:

[tex]a_{n}[/tex] = 1 - 2n

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 1 and d = a₂ - a₁ = - 3 - (- 1) = - 3 + 1 = - 2 , then

[tex]a_{n}[/tex] = - 1 - 2(n - 1) = - 1 - 2n + 2 = - 2n + 1 = 1 - 2n

Answer:

242.975609756

Step-by-step explanation:

Answer:

242.975

Step-by-step explanation:

TIP: u can use a calculator if your teacher allows you, it would be faster :)

Answer: 1/12 of the cake.

Step-by-step explanation:

First, find the LCM (Least Common Multiple) of 3 and 4. The easiest way to do this is to multiply the two together. 3*4 = 12.

Now, convert each fraction to be out of twelfths. Do this by setting up a proportion. 2/3 = x/12. Cross multiply and divide. 2*12 = 24. 24/3 = 8. Therefore, 2/3 = 8/12.

Do the same for 1/4. 1/4 = x/12. Cross multiply and divide. 12*1 = 12. 12/4 = 3. Therefore, 1/4 = 3/12.

Now add these two fractions by adding the numerators and keeping the denominators the same. 8/12 + 3/12 = 11/12.

Subtract this answer from 1 (12/12). 12/12 - 11/12 = 1/12

Answer:

The answer is A

Step-by-step explanation:

Step-by-step explanation:

To multiply fractions:

Multiply numerator to numerator and multiply denominator to denominator. Simplify the answer.

To multiply mixed numbers:

Change mixed numbers into improper fraction. Then multiply numerator and denominator just like how you multiply the fractions. Simplify.

Answer:

0.75 and 10.00

Step-by-step explanation:

Using the z-distribution, it is found that:

a) There are more than 10 successes and 10 failures in the sample, hence the conditions are met.

b) The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).

c) Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.

Item a:

The requirement is that there are at least 10 successes and 10 failures in the sample.

244 out of 500 voters are affiliated with party X, hence 500 - 244 = 256 are not, meaning that there are more than 10 successes and 10 failures in the sample, hence the conditions are met.

Item b:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

244 out of 500 voters are affiliated with party X, hence:

[tex]n = 500, \pi = \frac{244}{500} = 0.488[/tex]

99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.43[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.546[/tex]

The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).

Item c:

Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.

A similar problem is given at https://brainly.com/question/16807970

Answer:

Step-by-step explanation:

Okay! What times 9 is 90? 10!

what times 8 is 72? 9!

what times 7 is 56? 8

what times 6 is 42? 7!

what times 5 is 30? 6!

what times 4 is 20? 5!

what times 3 is 12? 4!

Do you see the pattern?

9=90

8=72

7=56

6=42

5=30

4=20

3=12

2=6

1=2

HOPE THIS HELPPEDD :3

Answer:

180

Step-by-step explanation:

Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle.

Answer:

5y*5y*5y

Step-by-step explanation:

uhh no explanation cuz logic

The 3rd power of the term 5y without exponents is 125.y.y.y

If a is any positive number and n is its power , then aⁿ means a is multiplied by itself n times

The given term is 5y,

To find the third power of 5y,

The cube of 5y = (5y)³

To write the 3rd power without exponents,

Simplify the term (5y)³.

(5y)³ = 5y x 5y x 5y

       = 125 y.y.y

The required 3rd power of 5y without exponents is 125.y.y.y.

To know more about Power on:

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Answer:

x + 4 < 27

-4. -4

x > 24

Step-by-step explanation:

put lines under signs

Answer:

xy

Step-by-step explanation:

Answer:

Step-by-step explanation:

−2x − 4 = −6

−2x − 4 + 4 = −6 + 4

−2x = −2

−2x/-2 = −2/-2

x = 1

The equation is,

→ -2x - 4 = -6

Let's solve for the value of x,

→ -2x - 4 = -6

→ -2x = -6 + 4

→ x = (-2)/(-2)

→ x = 2/2

→ [ x = 1 ]

Thus, the value of x is 1.

Answer:

prayers lang po katapat nyan

perdón xbdkdbsjjznsNxnznxn

Answer:

8 plus five is 13..

Step-by-step explanation:

The gross pay that Javier gets for last week is $415.625.

Rate is a measurement to determine the change in one quantity with respect to another quantity.

Given that,

Rate for 1 hour = $8.75,

Since, Javier worked 45 hours last week,

So total amount got by Javier = 45×8.75=393.75

According to condition,

Last 5 days Javier is paid half more amount for overtime,

Therefore,

Javier amount of overtime gets by Javier in last 5 days

=8.75×5/2

=21.875

Total amount = 393.75+21.875=415.625

So the gross pay for last week is $415.625.

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Answer:

77.14L

Step-by-step explanation:

20.3x3.8=77.14L

Answer:

p = 11/8

Step-by-step explanation:

We are trying to find the slope, so use the slope formula

m = ( y2-y1)/(x2-x1)

  5/3  = ( -3 -p)/ ( p-4)

Using cross products

5(p-4) = 3(-3-p)

5p-20 = -9-3p

Add 3p to each side

5p+3p -20 = -9-3p+3p

8p-20 = -9

Add 20 to each side

8p-20+20 =-9+20

8p =11

Divide by 8

8p/8 = 11/8

p = 11/8

Answer:

21

Step-by-step explanation:

First, we have to find g(2)

Plug in 2 in the g(x) equation

g(2) = 5(2) = 10

Now, we have f(10)

Pug in 10 in the f(x) equation

f(10) = 2(10) + 1

f(10) = 20 + 1 = 21