Given: Line segment A B is parallel to line segment D C and Measure of angle 2 equals measure of angle 4
Prove: Line segment A D is parallel to line segment B C

A parallelogram has points A B C D. Angle D A B is angle 1, Angle A B C is angle 2, Angle B C D is angle 3, and angle C D A is angle 4.

A 2-column table with 7 rows. Column 1 is labeled statements and has entries line segment A B is parallel to line segment D C, measure of angle 2 = measure of angle 4, angle 1 and angle 4 are supplements, question mark, measure of angle 1 + measure of angle 2 = 180 degrees, angle 1 and angle 2 are supplements, line segment A D is parallel to line segment B C. Column 2 is labeled reasons with entries given, given, same side interior angles theorem, definition of supplementary angles, substitution, definition of supplementary angles, converse same side interior angles theorem.



m∠1 = m∠4
m∠2 = m∠3
m∠1 + m∠4 = 180°
m∠2 + m∠3 = 180°

I think you meant solve [tex](4^2)x(2^9)[/tex]

Answer:

8192

Step-by-step explanation:

Given:

[tex]\left(4^2\right)x\left(2^9\right)[/tex]

Solution:

[tex]\left(4^2\right)x\left(2^9\right)[/tex]

[tex]=4^2x \:2^9[/tex]

[tex]4^2=16[/tex]

[tex]=16x \:2^9[/tex]

[tex]2^9=512[/tex]

[tex]=16x\:512[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:16\cdot \:512=8192[/tex]

[tex]=8192[/tex]

~lenvy~

Answer:

=> 8192

Step-by-step explanation:

Given :

(4²)x(2⁹)

=> (16)x(512)

=> 16.512

=> 8192

Answer:

4 7/8

Step-by-step explanation:

First we need to gte the denominators the same!

So we multiply the 1/4 by 2

1/4 x 2 = 2/8

Now we subtract the 2/8 from 5 1/8 to get our answer :)

5 1/8 - 2/8 = 4 7/8

Your final answer will be 4 7/8 :)

Have a great day!

Please rate and mark brainliest!

Answer:

61

Step-by-step explanation:

By the triangle midsegment theorem, 2(SP)=RQ.

So, 2(x-16)=x+29, meaning x=61.

Answer:

AAA is not a congruency postulate because it could only prove that triangles are similar, not congruent.

Step-by-step explanation:

Answer:

p^​=368​=0.2222.95%CI=(0.2222−1.960.2222(1−0.2222)36,0.2222+1.960.2222(1−0.2222)36)=95%CI=(0.2222−1.96360.2222(1−0.2222)​​,0.2222+1.96360.2222(1−0.2222)​​)==(0.0864,0.3580).

=(0.0864,0.3580).

Step-by-step explanation:

flvs?

The 95% confidence interval for the given proportion is  (0.864, 0.3580).

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of predicted observations are frequently used by analysts.

Given total samples = E = 36

number of outcomes  = 8

probability = p = 8/36 = 0.2222

value of z for 95% confidence interval = 1.96

intervals = p ± z([tex]\sqrt{\frac{p(1 - p)}{E} }[/tex])

taking positive sign

= 0.2222 + 1.96[tex](\sqrt{\frac{0.2222(1 - 0.2222)}{36} })[/tex] = 0.3580

taking negative sign

= 0.2222 - 1.96[tex](\sqrt{\frac{0.2222(1 - 0.2222)}{36} })[/tex]  = 0.0864

Hence, the intervals are  (0.864, 0.3580), and option A is a suitable answer.

Learn more about confidence intervals;

https://brainly.com/question/24131141

#SPJ2

Answer:

224

Step-by-step explanation:

To work out the area of any prism:

Area of cross sectional area x width

In this case, work out the area of the rectangle and multiply by 7

8 x 4 = 32

32 x 7 = 224

Answer:

3

Step-by-step explanation:

1/4 x12= 12/4

12/4=3

Answer:

4.

Step-by-step explanation:

Slope = difference in y coordinates / difference in the corresponding x coordinates

(27 - (-5)) / (8 - 0)

= 32 / 8

= 4.

Answer: Well, The entered points belong to an increasing, linear function.

Equation: y = 2.75x + 5.

You're key in this will be y=mx+b right?

Then you're M in y=mx+b is your slope. Therefore, if we take a look at our M in the slope we got,.....y = 2.75x + 5......it's-

2.75.

So you're slope is y= 2.75x      

I'm not that great at explaining but yeah, i tried lolz :3      

Total interest:-

Answer:

2835 flowers

Step-by-step explanation:

We need the circumference of the garden, with it's 150' radius.  Circumference, C,  is given by:  C = 2[tex]\pi[/tex]r.  I'll use [tex]\pi[/tex]=3.15, as you have requested, but it is actually closer to 3.14.

C = 2*(3.15)*150'

C = 945'

4 inches = 1/3 foot.

Every 1/3 of a foot of the circumference will have a flower.  We can make this a conversion factor:   3 flowers/foot

Flowers = (945')*( 3 flowers/foot) = 2835 flowers

[tex]===============================[/tex]

Let's find the square root of

[tex]\bold{\displaystyle\frac{144}{169}}[/tex]

So what number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex]?

Take the square root of both the numerator (144) and the denominator (169)

[tex]\bold{\sqrt{\displaystyle\frac{144}{169} }}[/tex]

The square root of 144 is 12 (12 times itself equals 144), and the square root of 169 is 13 (13 times itself equals 169)

[tex]\bold{\displaystyle\frac{12}{13}}[/tex]

This number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex].

[tex]==================================[/tex]

Answered by:

[tex]^\star^\bigstar^\circ\tt{An~Emotional~Helper!~:D}}^\circ^\bigstar[/tex]

Step-by-step explanation:

please mark me as brainlest

Answer:

y=11

x= -2.8

Step-by-step explanation:

y= -5x-3

-4+3 (-5x-3)=29

-4-15x-9=29

-4-9-29=15x

-42=15x

x= -2.8

y= -1 (5×-2.8)-3

=14-3

y=11

Answer:

the answer is shown below

Step-by-step explanation:

hope this helps

have an awesome day -TJ

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams.

Let suppose that element X experiments a simple radioactive decay, that is, that the element X becomes gradually into another less radioactive stable element in time.

We know that decay behaves exponentially and follows this model:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex]   (1)

Where:

The time constant can be described in terms of half-life ([tex]t_{1/2}[/tex]), in minutes, through the following expression:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]   (2)

If we know that [tex]t_{1/2} = 8\,min[/tex], [tex]m_{o} = 170\,g[/tex] and [tex]m(t) = 5\,g[/tex], then the time needed for the decay is:

τ ≈ 11.541 min

[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]

t ≈ 40.698 min

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams. [tex]\blacksquare[/tex]

To learn more on radioactive decay, we kindly invite to check this verified question: https://brainly.com/question/27156663

try to understand the example.

I used 20/100 since 20% is obviously 20/100 and I used ×1000 cus for 1000, you want 20%

hope it helps...!!!

Answer: The following is listed below.

Step-by-step explanation: The following pairs are below:

Now, all you have to do is do the following pairings that I listed above with a partner and you're all good to go!

Remember, 0.25￠is a quarter, 0.10￠is a dime, 0.05￠is a nickel, and 0.01￠is a penny.

Have a great day! :)

The probability of selecting a square is the likelihood of the square

The probability that the square selected is a multiples of 3 not less than 10 is 3/20

The given parameters are:

Squares = 20

Multiples of 3 not less than 10 = 3

Stripped balloons = 17

The probability that the square selected is a multiples of 3 not less than 10 is calculated as:

P = n(Multiples of 3 not less than 10)/Total

This gives

P = 3/20

Hence, the probability that the square selected is a multiples of 3 not less than 10 is 3/20

Read more about probability at:

https://brainly.com/question/251701

Given a graph with a line running through coordinates (0,0) and coordinates (40,12), the unit rate of the relationship between the number of kilometers traveled by a bicycle (y) and the number of minutes (x) is given by the slope of the line.

Answer:

the answer; 32÷36×100 will give the answer (d) -88.9%

Answer: The answer can be 3.4, 3.5, 3.6, and even 3.7

Explain:

It is all because if you got an answer that you need to be between into it, you can start like this. For example: What number is between 3 and 4, well it's 3.5. So do that with the decimal, it's like the same thing.

What if it was between 3.4 and 3.6, than it's anywhere 3.51, like that, or 3.5, to make it simple.

I hope that was helpful

Answer:

43

Step-by-step explanation:

equation= sqrt (x2-x1)^2 + (y2-y1)^2

Answer:

6:8

Step-by-step explanation:

There are 6 squares and there are 8 triangles, just count them.

Answer:

3 : 4

Step-by-step explanation:

squares : triangles = 6 : 8 ( divide both parts by 2 )

                              = 3 : 4 ← in simplest form

Hey there!

x(-2x + 3)

= 1x(-2x + 3)

DISTRIBUTE 1x WITHIN the PARENTHESES

= 1x(-2x) + 1x(3)

= -2x(1x) + 3(1x)

= -2x^2 + 3x

Therefore, your answer is: -2x^2 + 3x

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

6.4 in^3 would be the correct answer

Answer:

S.A of a rectangular prism is 2lh+2lw+2hw

2(4x6)+2(4×4)+2(6×4)

2(24)+2(16)+2(24)

48+32+48= 128cm²

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: 2m - 3 - 5 = - m + 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2m + m = 10 + 3 + 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3m = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \: m = 18 \div 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: m = 6[/tex]

Hence, value of m is 6

Answer:

x is 6 degrees

Step-by-step explanation:

so its 90 degress, how do i know? because it is parrallel to the one with a half square (the 90 degrees) so we equal the angels to 90  because they are equal to 90 (sorry if it sounds confusing, if you want i can still explain more later)

7x + 8x = 90

15x = 90

x = 90/15

x = 6

Answer:

Explanation:

Both the angles lie inside a right angle, whose total sum is 90 degrees.

Solve:

Each of the angle: