solve this
SOLVE THIS QUESTION PLEASE

Answer:

Match the Statement number with the Reason number.

Step-by-step explanation:

Statements:

1.GE is perpendicular to BD

CF is perpendicular to BD

2. Angle GED equal 90

Angle DFC equal 90

3. Angle GED is congruent to Angle DFC

4. Angle GBE is congruent to Angle FDC

5. Triangle BEG is similar to DFC

Reasons:

1.Given

2. Definition of perpendicular lines

3. Transitive property

4. Alternate Interior Angles

5. AA Similarity

By satisfying essential conditions for two triangles to be similar, we can say that triangle BEG is similar to triangle DFC.

A quadrilateral in which opposites sides are equal and parallel. Also, opposite angles are equal to each other.

As we know that AB║ DC

so,∠GBE = ∠CDF (alternate angles)

∠GEB= ∠DFC = 90°

so triangle BEG≈DFC​

Therefore, we can say that triangle BEG is similar to triangle DFC

to get more about parallelograms visit:

https://brainly.com/question/12167853

Answer: 128.5km

Step-by-step explanation:

Since we are given the information that the distance by road from town A to town B is 257 km. To get 50% of the distance, we simply have to multiply the distance given by 50%. This will be:

= 50% × 257km

= 50/100 × 257km

= 0.5 × 257km

= 128.5km

Therefore, 50% of the distance is 128.5km.

Answer:

20mm2

Step-by-step explanation:

3+2=5

5divided by 2 = 2.5

2.5 times 8 = 20

Answer:

C. 20 mm²

Step-by-step explanation:

Formula for trapezoid =       [tex]\frac{base1 + base 2}{2}*height[/tex]

So 1/2(2+3)*8

1/2(5) * 8

2.5 * 8 = 20

Units area in mm²

20 mm²

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

Replace the 4 with a 3 to make the equation true

Answer:

option 4

Step-by-step explanation:

[tex]5x + 2y = 2\\2y = -5x + 2\\y = -\frac{5}{2}x + 1\\\\Slope = -\frac{5}{2}, \ y - intercept = 1[/tex]

[tex]3x - 3y = 18\\3y = 3x - 18\\y = x - 6\\\\Slope = 1, \ y - intercept = -6[/tex]

Answer:

Two angles having the same vertex and having a common side between them.

Answer:

números enteros que comprende a los positivos y negativos

Answer:

The least number of coins that could have been stolen is 3,930.

Step-by-step explanation:

In the beginning, there are N coins to be distributed among 17 pirates, and we know that if we divide evenly these coins, there are 3 coins remaining.

Then we can write the total number of coins as a multiple of 17 plus 3.

N = 17*k + 3

where k is an integer.

After that, a pirate is killed, so now we have 16 pirates, and now there are 10 coins left, so now we can write N as a multiple of 16 plus 10:

N = 16*j + 10

where j is an integer.

Finally, having 15 pirates, the total number of coins can be divided evenly, then N is a multiple of 15

N = 15*m

where m is an integer.

So we have these 3 equations:

N = 17*k + 3

N = 16*j + 10

N = 15*m

So we can express equations like:

15*m = 16*j + 10

15*m = 17*k + 3

Where we need to find solutions such that both of these variables are integers.

For the first one we can write:

15*m - 16*j = 10

One way to do it, is to write this like a linear equation:

m = (16*j + 10)/15

Graph this, and find the pairs of points in the line that have bot integer values, or we can just find some values of j such that:

16*j + 10 is a multiple of 15.

For example, with j = 5 we have:

m = (16*5 + 10)/15 = 6

so j = 5 and m = 6 is a possible solution.

Now if we use m = 6 in the other equation:

15*m = 17*k + 3

we can see if k is also an integer:

k = (15*m - 3)/17

replacing m by 6:

k = (15*6 - 3)/17 = 5.1

This solution does not work.

Let's find others:

if j = 20  (at this point we already know that the possible values of j "jump" by 15 units, like 5 + 15 = 20) then:

m = (16*20 + 10)/15 = 22

Then:

j = 20 and  m = 22 is another solution.

Same as before, let's use m = 22 in the equation for k:

k = (15*22 - 3)/17 = 19.2

Let's find another solution for m.

if  j = 35

m = (16*35 + 10)/15 = 38

Using this value of m in the k equation we get:

k = (15*35 - 3)/17 = 33.4

Let's find another solution for m.

if we take j = 50 we get:

m = (15*50 + 10)/15 = 54

Using this in the k equation we get:

k = (15*54 - 3)/17 = 47.5

Eventually, for j = 5  + 15*16 = 245 we get:  (arrived by iteration, just try each time using the previous value of j plus 15)

m = (16*245 + 10)/15 = 262

replacing this in the k equation we can find:

k = (15*262 - 3)/17 = 231.

So the first solution is:

j = 245, m = 262, k = 231

Then:

N = 262*15 = 3,930

The least number of coins that could have been stolen is 3,930.

Hi there!

For the Pythagorean Theorem, basically you just need to apply this formula: a^2 + b^2 = c^2

And then find the root of the hypotenuse.

For example,

15^2 + 8^2 = the hypotenuse^2

Which equals, 225 + 64 = 289

Square root of 289 = 17

Please mark me brainliest if this helps!

Have a wonderful day!

Answer:

3/10

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Because yes.

Answer:

20 minutes

Step-by-step explanation:

It would take 20 minutes longer for Linda to type 8 pages that contain 500 words on each page.

Answer:

Step-by-step explanation:

x+62=90 degree (being perpendicular)

x=90-62

x=28 degree

x+25=90 (being perpendicular)

x=90-25

x=65 degree

Answer:

1)X+62 =90

x+62-62=90-62

x =28

2) X+25+90+180 =360

x +295=360

x =360-295

x =65

Answer:

6765

Step-by-step explanation:

the answer is 6765

Answer: 6,765 kg

Step-by-step explanation:

55 x 123 = 6,765kg of Rice

Answer:

1) The smallest is 1000, and the greatest is 9998.

2) The smallest is 1001 and the greatest is 9999.

Step-by-step explanation:

Four digit numbers:

The set of four digit numbers is: {1000, 1001, ...., 9998, 9999}

Even numbers:

End in 0, 2, 4, 6, 8

Odd numbers:

End in 1, 3, 5, 7, 9

1) the number is an even number

The smallest is 1000, and the greatest is 9998.

2)the number is an odd number​

The smallest is 1001 and the greatest is 9999.

Most likely, you won't need to type in the percent symbol since that seems to be already done for you.

=========================================================

Explanation:

The outcome "2" shows up 3 times, as shown in the first column. Let A = 3.

Add up all the values in the bottom row: 3+6+8+11+14+16+15+12+9+5+1 = 100. Let B = 100. This is the total number of dice rolls.

Dividing the two values gets us A/B = 3/100 = 0.03 = 3%

The value "2" shows up 3% of the time, which is the experimental probability of getting a "2".

Answer:

they are rational numbers

Answer: 0.1595

Step-by-step explanation:

Poisson Distribution Formula

[tex]$$P(\mathrm{X}=x)=\dfrac{\lambda^{x} e^{-\lambda}}{x !}$$\\\text{ where }$x=0,1,2,3, \ldots$\\\\$\lambda=$ mean number of occurrences in the interval\\\\$e=$ Euler's constant $\approx 2.71828$[/tex]

Here, [tex]\lambda= 6.3[/tex]

x= 6

[tex]P(X=6)=\frac{6.3^6e^{-6.3}}{6!}[/tex]

[tex]\approx0.1595[/tex]

Hence, the probability of having exactly six (6) errors on a page = 0.1595

Answer:

6 * m

Step-by-step explanation:

6m is is multiplication so should be the equivalent expression

Written out as words clearly says

six times a number

times meaning multiplication

Meaning any other expression is equivalent as long as it is a form of multiplication

If I'm wrong please tell me if not

Hope this helped :]

Answer:

0.2005

Step-by-step explanation:

Mean, m = 65000

Standard deviation, σ= 7000

Sample size, n = 25

Let X = random variable of salary

Recall:

Z = (μ - x) /(σ/√n)

P(62500 ≤ x ≤ 64000) =?

Pr((65000 - 62500)/7000/√25 ≤ z ≤ (65000 - 64000) / 7000/√25)

P(2500 / 1400 ≤ z ≤ 1000/1400)

P = (1.79 ≤ z ≤ 0.714)

Using the normal distribution table or a Z probability calculator

0.4633 - 0.2624

= 0.2009

Answer: 107/100x

1.07x

Step-by-step explanation:

Since the price of the model is x dollars, and she also has to pay a 7% tax, the amount that Leila will pay in total for the model will be the addition of the price of the model and the tax. This will be:

= x + (7% × x)

= x + (7/100 × x)

= x + (0.07 × x)

= x + 0.07x

= 1.07x

This can also be 107/100x

Answer:

The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

In this question:

CI is between 0.645 and 0.842. So the best estimate of the proportion is:

(0.645+0.842)/2 = 0.7435

The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.

Answer:

33.30 units²

Step-by-step explanation:

Central angle = m<BCD = 106°

Radius (r) = 6 units

Area of sector BCD = central angle/360° × πr²

Plug in the values into the formula

Area of sector BCD = 106/360 × π × 6²

Area of sector BCD = 106/360 × π × 36

Area of sector BCD = 33.3008821

Area of sector BCD = 33.30 units² (nearest hundredth)

==============================================

The 125 degree angle and angle 6 are supplementary. This is because of the same side interior angles theorem.

Let x be the measure of angle 6. Add this to 125, set the sum equal to 180, and solve for x.

x+125 = 180

x = 180-125

x = 55

------------

Or you could approach it this way:

y = measure of angle 2

y+125 = 180

y = 55

angle 6 = angle 2 (corresponding angles)

angle 6 = 55 degrees

-------------

Yet another way you could solve:

z = measure of angle 3

z+125 = 180

z = 55

angle 6 = angle 3 (alternate interior angles)

angle 6 = 55 degrees

A similar approach using alternate interior angles would involve angle 5 = 125, and then noticing that x+125 = 180 solves to x = 55

Answer:

The right answer is "[tex]0.2<\mu d<7.2[/tex]".

Step-by-step explanation:

The given values are:

[tex]\bar{x_0} = 3.7[/tex]

[tex]s_o=4.95[/tex]

[tex]t_{\frac{0.05}{2} }=2.2621[/tex]

As we know,

95% confidence for [tex]\mu_0[/tex] will be:

= [tex]\bar{x_0} \pm t_{\frac{0.05}{2} },n-1\times \frac{s_o}{\sqrt{n} }[/tex]

The lower bound will be:

= [tex]3.7-2.2621\times \frac{4.95}{\sqrt{10} }[/tex]

= [tex]0.16\simeq 0.2[/tex]

The upper bound will be:

= [tex]3.7+2.2621\times \frac{4.95}{\sqrt{10} }[/tex]

= [tex]7.23\simeq7.2[/tex]

Thus the right answer is "[tex]0.2<\mu d<7.2[/tex]"

[tex]\boxed{30.6}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]9 \times 3.4 \\ = 30.6[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

First question: C. 20 7/12

Second question: B. 242

Third question: D. 4.8

Fourth Question: C. 2 5/18

Step-by-step explanation:

Answer:

20 7/12

Step-by-step explanation:

=6 1/2 + 4 2/3 + 9 5/12

=19 19/12

=19 + 1 7/12

=20 7/12

Given:

In triangle KLM, KL = 123 cm and measure of angle K is 35 degrees.

To find:

The length of the side KM to the nearest tenth of a centimeter.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

In the given right triangle KLM,

[tex]\cos K=\dfrac{KM}{KL}[/tex]

[tex]\cos (35^\circ)=\dfrac{KM}{123}[/tex]

[tex]0.819152=\dfrac{KM}{123}[/tex]

Multiply both sides by 123.

[tex]0.819152\times 123=KM[/tex]

[tex]100.755696=KM[/tex]

[tex]KM\approx 100.8[/tex]

The measure of side KM is 100.8 cm.

Therefore, the correct option is (2).

Answer:

7:55 PM

hope this helps

have a good day :)

Step-by-step explanation: