Given:

AD = CB

DC = BA

Prove:

∠3 = ∠2



Which of the following triangle congruence theorems would be used in this proof?

ASA
AAS
SSS

Answer:

Equation:  24x + 2(36) = 6(6x) or 24x + 72 = 36x Answer: x = 6

Step-by-step explanation:

24x + 72 = 36x
-24x           -24x
         72 = 12x
         /12    /12
           6 = x

Answer:

see the attachment photo!

Answer:

2(12 + π)

Step-by-step explanation:

This will get you about 30and even by just counting squares you will get the closest to this answer.

Answer:

Answer by josgarithmetic(37226) (Show Source): You can put this solution on YOUR website!

system%2810b%2B6p=17000%2C3b%2B20p=17000%29

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

Let +a+ = the cost of 1 pencil

Let +b+ = the cost of 1 book

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

(1) +6b+%2B+10a+=+17000+

(2) +3b+%2B+22a+=+17000+

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

Multiply both sides of (2) by +2+

and subtract (1) from (2)

(2) +6b+%2B+44a+=+34000+

(1) +-6b+-+10a+=+-17000+

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

+34a+=+17000+

+a+=+500+

and

(1) +6b+%2B+10a+=+17000+

(1) +3b+%2B+5a+=+8500+

(1) +3b+%2B+5%2A500+=+8500+

(1) +3b+=+8500+-+2500+

(1) +3b+=+6000+

(1) +b+=+2000+

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

Step-by-step explanation:

IT,LL

HELP

Answer:

I believe the answer is: [tex]3B_i[/tex]. (Your equation should look something like this: [tex]\sum _{i=3}^5\:B_{\left(i\right)}[/tex] )

Step-by-step explanation:

[tex]1. \sum _{i=3}^5=\sum _{i=1}^5-\sum _{i=1}[/tex]

2.[tex]=\sum _{i=1}^5B_{\left(i\right)}-\sum _{i=1}^2B_{\left(i\right)}[/tex]

3.=[tex]=\sum _{i=1}^5B_{\left(i\right)}= 5B_{\left(i\right)[/tex]

4.[tex]\sum _{i=1}^2B_{\left(i\right)}= 2B_{\left(i\right)[/tex]

5.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}[/tex]

6.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}=3B_{\left(i\right)}[/tex]

7. The answer should be: [tex]3B_{\left(i\right)}[/tex]

Hope this helps...

Answer:

  TRUE: A, B, C

  False: D

Step-by-step explanation:

A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.

__

A. An angle that measures π/4 radians also measures 45°. TRUE

  45° × π/180° radians = π/4 radians

B. An angle that measures 180° also measures π radians. TRUE

  180° × π/180° radians = π radians

C. An angle that measures 60° also measures π/3 radians. TRUE

  60° × π/180° radians = π/3 radians

D. An angle that measures π/3 radians also measures 30°.​ FALSE

  30° × π/180° radians = π/6 radians

The volume of the rectangular aquarium prism will be 51840 cubic inches.

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

Your teacher just bought a new aquarium that is a rectangular prism.

If an aquarium has a length of 48 inches, a width of 36 inches, and a height of 30 inches.

Then the volume of the aquarium will be

The volume is given as

Volume = Length x Width x Height

Then we have

Volume = 48 x 36 x 30

Volume = 51840 cubic inches

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[tex]~~(x+5)(2x+3)-3(x-2)(6x+5)\\\\=2x^2 +3x + 10x +15 - (3x-6)(6x+5)\\\\=2x^2 +13x +15 - (18x^2 +15x -36x -30)\\\\=2x^2+13x+15-(18x^2 -21x-30)\\\\=2x^2 +13x+15-18x^2 +21x +30\\\\=-16x^2 + 34x+45[/tex]

Answer:

18%

Step-by-step explanation:

178 200 / 990 000    x 100% = 18%

Using it's concept, it is found that the range of the set of numbers 10, 30, 15, 17, and 18 is of 20.

The range of a data-set is given by the difference of the greatest value by the smallest.

In the data-set 10, 30, 15, 17, and 18, we have that:

Hence the range is given by:
R = 30 - 10 = 20.

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The amount received by Ahmed is 168 gm.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.

Here, let the amount received by Ahmed be 7x

          and amount received by Babar be 3x

       Total amount of sweets = 240 gm

Now, according to question,

           7x + 3x = 240

              10x = 240

               x = 240/10

              x = 24

Thus, the amount received by Ahmed is 7 X 24 = 168 gm and amount received by Babar = 3 X 24 = 72 gm.

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The equation that relates x and y for the Fusion hybrid is y = k + x

So,

y = k + x

Therefore, the equation that relates x and y for the Fusion hybrid is y = k + x

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Step-by-step explanation:

please mark me as brainlest

Answer:

[tex]x < - 5[/tex]

Step-by-step explanation:

[tex] - 2x - 6 > x + 9[/tex]

[tex] - 2x - x > 9 + 6[/tex]

[tex] - 3x > 15[/tex]

[tex] \frac{ - 3x}{ - 3} > \frac{15}{ - 3} [/tex]

[tex]x < - 5[/tex]

The number of boxes will weigh 18 ounces or less will be 138. Then the correct option is A.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The weights of boxes of rice produced at a factory are normally distributed with a mean of 20 ounces and a standard deviation of 1.5 ounces.

Consider a shipment of 1500 boxes of rice.

Then the number of the boxes will weigh 18 ounces or less will be

z = (18 - 20) / 1.5

z = -1.33

Then the probability will be

P(x ≤ 18) = P(z ≤ -1.33)

P(x ≤ 18) = 1 - P(z > -1.33)

P(x ≤ 18) = 1 - [1 - P(z < -1.33)]

P(x ≤ 18) = P(z < -1.33)

P(x ≤ 18) = 0.091211

Then the number of the boxes will weigh 18 ounces or less will be

⇒ 0.091211 x 1500

⇒ 136.8

approximately 138 boxes.

Then the correct option is A.

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Answer:

w + 10 = 40

Step-by-step explanation:

10 more than w is w + 10 is equal to 40 is =40

w + 10 = 40

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Answer:

Step-by-step explanation:

10 more than w is equal to 40 what is the expression

10 + w = 40                 is the expression

w = 40 - 10

w = 30                        is the solution

monkey B

Step-by-step explanation:

f(x) = 16x2 + 32x − 9?

Step-by-step explanation:

c beacuse if you subtract 8 by 2 you get 6 times x

Answer:

[tex]3n^2+3n-6=54[/tex]

Step-by-step explanation:

Total Area=54 square inches. Area=length*width.

Because the length is [tex][3(n-1)][/tex], and the width is [tex](n+2)[/tex], you can plug that into the equation for area. In this case, because the total area is 54, we can plug that in for area.

[tex][3(n-1)](n+2)=54[/tex]

Distribute through the parenthesis in [tex]3(n-1)[/tex].

[tex](3n-3)(n+2)=54[/tex]

Then, multiply [tex]3n-3[/tex] and [tex]n+2[/tex] using whatever method you prefer. I used FOIL, which stands for First, Outer, Inner, Last. You multiply the first terms together, the outer terms together, the inner terms together, and the last terms together.  

[tex]3n^2+6n-3n-6=54[/tex]

Simplify.

[tex]3n^2+3n-6=54[/tex]

The number of ways that Grant can arrange 3 of the 10 plants is 120 ways and the number of ways that 4 floats out of 8 can be arranged is 70 ways.

Grant can arrange 3 out of 10 plants in the following number of ways:

= 10!/ ((10! - 3!)3!)

= ( 10 x 9 x 8) / (3 x 2)

= 120 ways

The parade organizer can arrange 4 floats out of 8 as:

= 8!/((8! - 4!)4!)

= (8 x 7 x 6 x 5) / (4 x 3 x 2)

= 70 ways

When 4! is written in expanded form, it comes out as:

= (4 x 3 x 2)

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Daniel made an error in line 3. He wrongly divided the sum of sides and height. The area of the trapezoid is 42 cm².

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides.

Area of a trapezoid = 1/2  x (sum of the lengths of the parallel sides) x height

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Answer:

x = 10

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360°

(4x + 23) + (7x - 3) + (6x - 5) + (16x + 15) = 360°

4x + 23 + 7x - 3 + 6x - 5 + 16x + 15 = 360°

Add like terms

33x + 30 = 360°

Subtract 30 from both sides

33x = 330°

x = 10

Answer:

10

Step-by-step explanation:

we should note that the sum of angles of a quadrilateral is equal 360°

therefore,

(4x+23)+(16x+15)+(6x-5)+(7x-3)=360

30 +33x= 360

33x= 360-30

33x= 330

dividing through by 33

x= 330/33

x= 10

Answer:

Step-by-step explanation:

Use the equation of area of circle:

Substitute π with 22/7 and r with 35 m as per question.

Correct choice is B (with slight difference)

Answer:

B.  3850 m²

Step-by-step explanation:

The area of the base of the lighthouse can be modeled as a circle.

Area of a circle

[tex]\textsf{A}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]

Given:

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=\dfrac{22}{7} \cdot 35^2[/tex]

[tex]\implies \sf A=\dfrac{22}{7} \cdot 1225[/tex]

[tex]\implies \sf A=\dfrac{26950}{7}[/tex]

[tex]\implies \sf A=3850\:\:m^2[/tex]

Therefore, the area of the circular base of the lighthouse is 3850 m²

Answer:

theta = pi/6 and

theta = 5pi/6

Step-by-step explanation:

see image. Factor the expression. Solve for sin theta. Then use a calculator or unit circle to solve for theta. See image.

Let's simplify the problem down a little:

 ⇒ set 'sin(θ)' as x

    ⇒ the new equation looks like: [tex]2x^2+5x-3=0[/tex]

Now let's solve this equation as a quadratic:

 [tex]2x^2+5x-3=0\\(2x-1)(x+3)=0\\\\2x-1=0\\x = \frac{1}{2} \\\\x+3 = 0\\x=-3[/tex]

Now set the x value of '1/2', to sin(θ)

         sin(θ) = 1/2

            θ = π/6, which is between the range given

Answer: π/6

Hope that helps!

Answer:

(x - 5)² - 25

Step-by-step explanation:

using the method of completing the square

x² - 10x

add/subtract ( half the coefficient of the x- term )² to x² - 10x

x² + 2(- 5)x + 25 - 25

= (x - 5)² - 25

Answer:

x = -2

Step-by-step explanation:

[tex]2x(x-5)-x(3+2x) = 26\\2x^{2} -10x-3x-2x^{2} = 26\\-13x=26\\x=\frac{26}{-13} \\=-2[/tex]

Its basically the order of operations, from left to right , evaluate brackets (if possible), then multiplication or division, lastly followed by addition or subtraction.

2x2-10x-3x-2x2=26

Eliminam opusele

reducem termenii

-13x=26

imparte ambele parti

x=-2

Step-by-step explanation:

Answer:

B) Angle D is congruent to Angle P

Step-by-step explanation:

In order for the triangles to be congurent due to ASA, we need to know two pairs of congruent angles and one pair of congruent sides. We have one pair of sides and angles, so we only need another angle pair, therefore eliminating C and D, which are giving sides. If we chose option A we would get SAA property since it's supposed to be read clockwise. The only option left is option B.

Have a nice day!

The histogram includes data from a voluntary response sample which is not representative of the population.

A histogram is a chart that represents numerical data using bars. The dataset is split into intervals, each interval is represented by a bar, and the number of variables in each interval makes up the frequency for that interval.

From the histogram attached, we can see that there is a huge gap from around 17000 miles to 32500 miles.

Now, when we have this kind of gap it means that the histogram includes data from a voluntary response sample which is not representative of the population.

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Answer: B. -3 and 7

Step-by-step explanation:

To find the zeros, just move the constants to the other side,

x - 7 ⇒ x = 7

x + 3 ⇒ x = -3

If the number is moved to the other side its sign becomes opposite

Hope it helps!

Answer:

angle A=30°

Step-by-step explanation:

[tex]9x + 6 + 4x + 6 + 90 = 180 \\ 13x + 102 = 180 \\ 13x = 180 - 102 \\ 13x = 78 \\ \frac{13x}{ 13} = \frac{ 78}{13} \\ x = 6 \\ 4x + 6 = a \\ 4(6) + 6 = a \\ 24 + 6 = a \\ 30 = a[/tex]