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Rina8888 [55]
2 years ago
7

Guys, I’m giving you at least 100 points for you to answer to my angles, triangles, and quadrilaterals word problem homework pac

kage. So guys, please listen up and pay attention to me without ignoring my angles, triangles, and quadrilaterals word problem homework package for no reason! :D
Please read my 2 of the geometric word problem questions carefully in order to get the clear understanding in order for you to get the Brainliest award if your answer is the best efforts and step-by-step explanations all of the time and here’s an image for you to answer to my 2 of my geometric word problem questions.

Please answer to my geometric word problem questions as soon as possible with the best efforts and the best step-by-step explanations in order to get the Brainliest award of all the time! :D

Well anyways, guys, good luck on answering 3 math word problem questions of my my angles, triangles, and quadrilaterals word problem homework package in order to get the best Brainliest award of all of the time, and I will check the answers to see if it’s appropriate for me. :)

Mathematics
1 answer:
frez [133]2 years ago
4 0

Step-by-step explanation:

For question 22: Notice the congruent symbol on sides AB and CB; this shows that the triangle is isosceles, and in an isosceles triangle, the angles opposite congruent sides are congruent. Thus, angle A actually equals angle C.

In other the find B, it is know that all of the interior angles of a triangle must add to 180; thus, this can be written as: angle A + angle B + angle C = 180.

Since you already know angles A and C, subtract angle A and angle C from 180 to get angle B.

For question 23:

Notice that triangle DBC is an isosceles triangle, and that angle D and angle C are opposite of congruent sides, indicating that they are equal. Since the interior angles of a triangle must add up to 180, and you know that angle D equals angle C, you can find angle DBC by doing 180 - (2 * angle D).

Now that you have angle DBC, you can find angle CBA; since these two angles form a straight line, you know they must add to 180 degrees. Thus, 180 - angle DBC equals angle CBA.

Now, notice that triangle CBA is also isosceles, and that angles CBA and angle A are opposite congruent sides, indicating that they are also congruent. Thus, angle A equals angle CBA.

Hope this helps :)

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krek1111 [17]
The 86th term is -489.
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3 years ago
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A bus can carry a maximum of 60 passengers. Each row accommodates the same number of passengers. If two rows are added then each
VashaNatasha [74]

Answer:

10 rows with 6 passengers per row

Step-by-step explanation:

Let x be the number of rows and y the number of passengers per row.

Then we can interpret the story as the following two equations:

xy=60

(x+2)(y-1)=60

Solving these two equations:

y=60/x

(x+2)(60/x-1)=60     (substitute y)

60 - x + 120/x - 2 = 60 (multiply by -x)

x² + 2x - 120 = 0     (factor)

(x-10)(x+12) = 0

x = 10

y = 60/10 = 6

and indeed 10 * 6 = 60 and also 12 * 5 = 60

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3 years ago
a farmer has 100m for fence avaibiable, with which he intends to build a pen for his sheep. he intends to create a rectangular p
Reika [66]

The perimeter of the area of the pen the farmer intends to build for his

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Response:

i) The length and width of the rectangular pen are; <em>x</em>, and \dfrac{100 - x}{2}, therefore;

  • The area is; A = \dfrac{1}{2} \cdot x \cdot (100 - x)

ii) \hspace{0.5 cm}\dfrac{dA}{dx}  = 50 - x

\dfrac{d^2A}{dx^2} =  -1

iii) The value of <em>x</em> that makes the area as large as possible is x = 50

<h3>How is the function for the area and the maximum area obtained?</h3>

Given:

The length of fencing the farmer has = 100 m

Part of the area of the pen is a permanent stone wall.

Let <em>x</em> represent the length of the stone wall, we have;

2 × Width = 100 m - x

Therefore;

Width, <em>w</em>, of the rectangular pen, w = \mathbf{\dfrac{100 - x}{2}}

Area of a rectangle = Length × Width

Area of the rectangular pen, is therefore;

  • A = x \times \dfrac{100 - x}{2} = \underline{\dfrac{1}{2} \cdot x \cdot (100 - x)}

ii) \hspace{0.5 cm} \mathbf{\dfrac{dA}{dx}}, and \mathbf{\dfrac{d^2A}{dx^2} } are found as follows;

\dfrac{dA}{dx} = \mathbf{\dfrac{d}{dx} \left(  \dfrac{1}{2} \cdot x \cdot (100 - x) \right)} = \underline{50 - x}

\dfrac{d^2A}{dx^2} = \mathbf{ \dfrac{d}{dx} \left( 50 - x\right)} = \underline{-1}

iii) The value of <em>x</em> that makes the area as large as possible is given as follows;

Given that the second derivative, \dfrac{d^2A}{dx^2} =-1, is negative, we have;

At the maximum area, \dfrac{dA}{dx} = \mathbf{0}, which gives;

\dfrac{dA}{dx} = 50 - x = 0

x = 50

  • The value of x that makes the area as large as possible is <em>x</em>  =<u> 50</u>

Learn more about the maximum value of a function here:

brainly.com/question/19021959

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2 years ago
Darnell's Burgers cooks its burgers either well done or medium. Last night the restaurant served 15 burgers in all, 6 of which w
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Answer:

40%

Step-by-step explanation:

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Hope this helps! :)

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Answer:

The expression for 4 less than x is: x - 4

The expression for 17 more than x is: x + 17

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The expression for the quotient of x and 17 is: x/17

The expression for 70 less than x is: x - 70

Step-by-step explanation:

4 less than x

4 less than a number is the number subtracted by 4. So the expression is x - 4.

17 more than x

17 more than a number is the number added to 17. So the expression is x + 17.

the product of 18 and x

The product of two numbers a and b is a*b, so the product of 18 and x is 18*x = 18x

the quotient of x and 17

The quotient of two numbers a and b is a/b, so the quotient of x and 17 is x/17.

70 less than x

70 less than a number is the number subtracted by 70. So the expression is x - 70.

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