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In kite ABCD, mZBAE = 28° and mZBCE = 58°. Find mLABE.

QuestionExampleStep By StepIn Kite ABCD, MZBAE = 28 And MZBCE = 58. Find MLABE.

Answers

Answer 1

Answer:

[tex]m\angle ABE=52^\circ[/tex]

Step-by-step explanation:

Angles and Lines

The figure shows a kite ABCD where the following data is given:

[tex]m\BAE=28^\circ[/tex]

[tex]m\BCE=58^\circ[/tex]

We also know

[tex]BC\cong CD[/tex]

[tex]AB\cong AD[/tex]

Since triangle BCD is isosceles, it follows that:

[tex]m\angle CBE=m\angle CDE[/tex]

And triangles BCD and DCE are congruent.

Thus:

[tex]m\angle BCE=m\angle DCE=58^\circ[/tex]

And also:

[tex]m\angle BCE=58^\circ+58^\circ=116^\circ[/tex]

Since the sum of internal angles of BCD is 180°

[tex]m\angle CDE=m\angle CBE= ( 180 - 116 ) / 2=32^\circ[/tex]

The sum of angles of triangle CDE is 180°, thus

[tex]m\angle CED=180^\circ - 32^\circ - 58^\circ = 90^\circ[/tex]

Angles CED and BEA are vertical (opposite), thus:

[tex]m\angle BCE=m\angle CED= 90^\circ[/tex]

Finally, since the sum of the angles of triangle ABE is 180°

[tex]m\angle ABE= 180 - 90 - m\angle BAE[/tex]

[tex]m\angle ABE= 180^\circ - 90^\circ - 28^\circ = 52^\circ[/tex]

[tex]\mathbf{m\angle ABE=52^\circ}[/tex]


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If 7 pounds cost $5.46, find the cost of 3 pounds. ​

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How many choices are in the sample space of drawing a club out of a deck of 52 cards?

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Step-by-step explanation:

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Step-by-step explanation:

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The ice cream shop sells sundaes for $2 each and banana splits for $3 each. One day, the shop sold 8 more sundaes than banana splits and also made a total of $156. Which system of equations represents the situation?

Answers

Answer:

$82 sundaes

$74 banana split

Step-by-step explanation:

Step one :

Given data

Cost of sundaes =$2 each

Cost of banana split =$3 each

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x=8+y----—----------1

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Cory is a bird watcher he estimates that 30% of the birds he sees are american robins, 20% are dark eyed juncos and 20% are slnc sparrows. he designs a simulation.

Answers

Answer:

I think C. 0.75

Step-by-step explanation:

The probability of seeing at least one robin in the next 5 birds is 0.75

How to determine the probability?

The representations are given as:

American robins = 0 to 2Dark eye juncos = 3 and 4Song sparrows = 5 and 6Others = 7 to 9

Using the above representations, the numbers that represent an occurrence of seeing at least one robin in the next 5 birds are:

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The number of simulation is 20

So, the probability of seeing at least one robin is:

P = 15/20

Divide

P = 0.75

Hence, the probability of seeing at least one robin is 0.75

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Answers

Answer:

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Step-by-step explanation:

5-3x+x-32

(collect like terms)

5-32-3x+x

-27-2x

Let's simplify step-by-step.

5−3x+x−32

=5+−3x+x+−32

Combine Like Terms:

=5+−3x+x+−32

=(−3x+x)+(5+−32)

=−2x+−27

Answer:

=−2x−27

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Answers

answer: 18
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Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers. The number of yellow balls is 36.

What is Addition?

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

Given there are 40 black balls this is 4 more than twice the number of yellow balls. Therefore, we can write,

Number of black balls = Number of yellow balls + 4

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Hence, the number of yellow balls is 36.

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Answers

Answer:

11,199,081

Step-by-step explanation:

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Answers

Answer: Sitting fee - 32$

Step-by-step explanation:

This is a system of equations(let x represent the sitting fee)

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Answers

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Answers

Answer:

C

Step-by-step explanation:

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Let

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x + (x + 1) + (x + 2) = 44,562

x + x + 1 + x + 2 = 44, 562

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3x = 44,562 - 3

3x = 44,559

divide both sides by 3

x = 44,559 / 3

x = 14,853

Therefore, the odd integer and the two consecutive integers whose sum is 44,562 are 14,853, 14,854, and 14,855 respectively.

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Answers

y=5x−2 , y=−2x+5

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x

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Move all terms not containing

x

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7x=7y=−2x+5

Divide each term by

7

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x=1y=−2x+5

Replace all occurrences of x in y=−2x+5 with 1.

x=1y=−2⋅1+5

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The result can be shown in multiple forms.

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Answer:

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Answers

Answer:

$19.2

Step-by-step explanation:

The school mascot is rectangular in nature.

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Answers

Answer:

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Step-by-step explanation:

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Answer:

  A.  6, 24, 96, 384

Step-by-step explanation:

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For first term 6, the second term is 4·6 = 24.

For 2nd term 24, the third term is 4·24 = 96.

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Answer:

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Step-by-step explanation:

The rise is the space between the two points vertically.

We can take the two y points (60 and 120) and find the difference between the two. 120 - 60 = 60 between the two. That means the rise = 60.

The run is the difference between the two points horizontally. We can take the two x points (4 and 2) and find the difference between the two. 4 - 2 = 2. The run = 2. Rise/run = 60/2. This can be simplified to 30/1 or 30.

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Answer: -2/10

Step-by-step explanation:

The pre-image of vertex A' by a reflection across the line y = x is (2, 10).

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A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

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Tiana and Vince are practicing their typing skills in computer science class. They both typed the same number of words, but Tiana took less time. They are participating in a typing competition next week. In the competition, they will have the same amount of time to type. Who will likely type more words during the competition?

Answers

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Step-by-step explanation:

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Answer:

Tiana

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Step-by-step explanation:

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Answers

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Graph each function. State the domain and range.

f(x)={(-x-2 if x>0),(-x if x<=0):}

Please help me will give brainillest is work is shown. thank you !!!

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

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Because the function is defined by this expression at x=0, there will be a solid dot at the end of the line there, at (0, 0).

__

For values of x greater than 0, the graph of the function is a graph of the line

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Factor completely −5x3 + 10x2.
Prime
−x(5x2 − 10x)
5x(−x2 + 2x)
−5x2(x − 2)

Answers

Answer:

-5x³ + 10x² = -5x²(x - 2)

Step-by-step explanation:

Answer:

-5x³ + 10x² = -5x²(x - 2)

Step-by-step explanation:

this is right i fact checked it

happy trails

What is the domain of x^2-bx +ax - ab/x2+bx-ax - ab /x2+bx+ax +ab/x2-bx-ax+ab

Answers

Answer:

The answer is "[tex]\bold{(-\infty, \infty)}[/tex]"

Step-by-step explanation:

Given:

[tex]\to \bold{\frac{\frac{x^2-bx +ax - ab}{x2+bx-ax - ab}}{\frac{x2+bx+ax +ab}{x2-bx-ax+ab}}}[/tex]

[tex]\to \frac{x^2-bx +ax - ab}{x2+bx-ax - ab} \times \frac {x2-bx-ax+ab}{x2+bx+ax +ab}\\\\\to \frac{x(x-b) +a(x - b)}{x(x+b)-a(x +b)} \times \frac {x(x-b)-a(x-b)}{x(x+b)+a(x +b)}\\\\[/tex]

[tex]\to \frac{(x-b) (x+a)}{(x+b)(x-a)} \times \frac {(x-b)(x-a)}{(x+b)(x +a)}\\\\\to \frac{(x-b)}{(x+b)} \times \frac {(x-b)}{(x+b)}\\\\\to \frac{(x-b)^2}{(x+b)^2} \\\\[/tex]

[tex]\to f(x) = \frac{(x-b)^2}{(x+b)^2} \\\\[/tex]

So, the domain are [tex]\bold{(-\infty, \infty)}[/tex]

Which of the following represents a function

Answers

Answer:

D represents a function pretty sure I had a problem like this as well

Step-by-step explanation:

C is the answer because the same input (x) number can not be matched twice with and output (y). The numbers in the input(x), or domain, constantly goes up by one, and the output(y), or range, constantly goes down by one.

I hope this helped!! Please correct me if I was wrong :)

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Answers

Answer: 24 1/2

Step-by-step explanation:

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