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2 years ago

What are the remaining angle measures if the figure is to be a parallelogram?

Mathematics

2 answers:

Liula [17]2 years ago

8 0

Answer:

m∠B ==101°,

m∠C =79°,

m∠D=101°

Step-by-step explanation:

goldfiish [28.3K]2 years ago

3 0

The correct answer is

m∠B ==101°,

m∠C =79°,

m∠D=101°

Step-by-step explanation:

As we know that, it is a parallelogram opposite angels are congruent
Therefore, m∠A = m∠C and m∠B =m∠B

As we know that, If side a=79 then side c must also be equal to 79

When we consider all the angles and add them it must be equal to 360°
When we add 79+79 = 158°, which mean a=c= 158°

By subtracting all the sides of parallelogram which is 360- 158= 202°
If we divide it by 2 then we will get the value of the other side of the angle which is b and d.
Dividing 202 by 2
$\frac{202}{2}$ = 101°
Therefore, the value of b=d=101°
A Parallelogram is a flat shape with an opposite sides parallel and they are equal in length.
A parallelogram has four sides, and the opposite sides are parallel and they don't intersect.

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Given a real number x and a positive integer k, determine the number of multiplications used to find x2k starting with x and suc

Alex

Answer: It is a more efficient way to find x2k than by multiplying x by itself the appropriate number of times.

Step-by-step explanation: Please find the attached file for the solution

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2 years ago

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents,

RoseWind [281]

Answer:

The statement that "the margin of error was given as $\pm5$ percentage points" means that the population proportion is estimated to be with a certain level of confidence, within the interval $\hat{p} \pm 0.05$ ; where $\hat{p}[tex] is the sample's proportion. The correct answer is C. The statement indicates that the interval [tex]0.14\pm0.05$ is likely to contain the true population percentage of people that prefer chocolate pie.

Step-by-step explanation:

The margin of error for proportions is given by the following formula:

$z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}$

Where:

$z_{\alpha /2}$ is the critical value that corresponds to the confidence level; the confidence level being $1-\alpha$ ,

$\hat{p}$ is the sample's proportion of successes,

$n$ is the size of the sample.

In this exercise we have that $\hat{p}=0.14$ and that the margin of error is 0.05.

Therefore if we replace in the formula to calculate the confidence interval we get:

$\hat{p}\pm 0.05=0.14\pm0.05=(0.09, 0.19)$

Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).

7 0

2 years ago

The sum of the first four terms of an arithmetic sequence is $10$. If the fifth term is $5$, what is the sixth term?

Nookie1986 [14]

The sixth term of an arithmetic sequence is 6

<h3>How to find arithmetic sequence?</h3>

The sum of the first four terms of an arithmetic sequence is 10.

The fifth term is 5.

Therefore,

sum of term = n / 2(2a + (n - 1)d)

where

a = first term
d = common difference
n = number of terms

Therefore,

n = 4

10 = 4 / 2 (2a + 3d)

10 = 2(2a + 3d)

10 = 4a + 6d

4a + 6d = 10

a + 4d = 5

4a + 6d = 10

4a + 16d = 20

10d = 10

d = 1

a + 4(1) = 5

a = 1

Therefore,

6th term = a + 5d

6th term = 1 + 5(1)

6th term = 6

learn more on sequence here: brainly.com/question/24128922

#SPJ1

7 0

1 year ago

Hamburger sells 3 pounds for six dollars if Samantha 510 pounds of hamburger how much will she pay

Lina20 [59]

I believe you meant to say that if Samantha bought 510 pounds of hamburger, how much will she pay?

Now from the information we already have, we know that 3 pounds of hamburger will cost 6 dollars.

The next thing we need to know is how much one pound of hamburger will cost. This will help us calculate how much the rest will cost.

we now form an equation to assist us.
3 = 6
1= x

(where x represents the unknown price of one pound of hamburger)

Now we must cross-multiply:

3 * x = 6 x 1

3x = 6

x = 6/3

x = 2

therefore one pound of hamburger costs 2 dollars.

Now, If one pound costs 2 dollars, how about 510 pounds?

We simply multiply: 510 x 2 = 1,020

Therefore Samantha will pay 1, 020 dollars for 510 pounds of hamburger.

5 0

2 years ago

Find an equation equivalent to r = 10sin ø in rectangular coordinates.

kherson [118]

Answer: x^2 + y^2 -10y = 0

Step-by-step explanation:

Cartesian coordinates, also called the Rectangular coordinates, isdefined in terms of x and y. So, for the problem θ has to be eliminated or converted using basic foundations that are described by the unit circle and the right triangle trigonometry.

r= 10sin(θ)

Remember that:

x= r × cos(θ)

y= r × sin(θ)

r^2= x^2 + y^2

Multiply both sides of the equation by r. This will give:

r × r = 10r × sin(θ)

r^2 = 10r × sin(θ)

x^2 + y^2= 10r × sin(θ)

Because y= r × sin(θ), we can make a substitution. This will be:

x^2 + y^2= 10y

x^2 + y^2 -10y = 0

The above equation is the Rectangular coordinate equivalent to the given equation.

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3 years ago