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]
Introductory Algebra: 20% converted into a decimal, wouldn't that be 0.2?
Answer: Yes.
Step-by-step explanation: 20% of 100 would translate into .2 out of 1
Answer:
Yes, coz 20%=20/100
Ans solving 2/100 will give you 0.2
So ya, that's right!
If 7 pounds cost $5.46, find the cost of 3 pounds.
Answer:
$2.19
Step-by-step explanation:
7 divided by 3 is 2.5
5.46 divided by 2.5 is 2.184
round it and get 2.19
How many choices are in the sample space of drawing a club out of a deck of 52 cards?
A. 13 choices
B. 52 choices
C. 26 choices
D. 12 choices
Answer:
A. 13
Step-by-step explanation:
Edgar is scuba diving 50 feet below the water. He is swimming to the surface at a rate of 3 feet per second. Write an equation to represent his depth, d, after s seconds.
Fill in the blank
d = __ s + __
(also to understand better we are doing the equation y = __ x + __ )
Answer:
I know this is late but the actual answer is d=3s+-50
Step-by-step explanation:
The reason is because he is swimming down, so yeah.
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?
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
Let the number of sundaes bought be x
And the number of banana split bought be y
The total is x+y
The shop sold 8 more Sundaes than the Banana split
x=8+y—-------1
Total amount made = $156
Therefore the system of equation for the situation is
x=8+y----—----------1
2x+3y=156---------2
But x=8+y
8+y+y=156
8+2y=156
2y=156-8
2y=148
Divide both sides by 2
y=148/2
y=74
On That day they sold $74 banana split
And also they sold x=8+74=$82 sundaes
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.
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 9Using the above representations, the numbers that represent an occurrence of seeing at least one robin in the next 5 birds are:
05716 16803 32177 92290 72794 14333 79019 05943 77510 74051 87238 86481 94036 12749 24005
The number of occurrence is:
Number = 15
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
Read more about probability at:
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Find the length of AB
AB=
ft (Round to two decimal places)
c
P
A
8 ft
45°
B
what is 5 - 3x + x - 32 in a simplified expression?
Answer:
-27-2x
Step-by-step explanation:
5-3x+x-32
(collect like terms)
5-32-3x+x
-27-2xLet'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
there are 40 black balls this is 4 more than twice the number of yellow balls how many yellow boll are there
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
40 = Number of yellow balls + 4
Number of yellow balls = 36
Hence, the number of yellow balls is 36.
Learn more about Addition:
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What is 5654554 + 5544527?
Answer:
11,199,081
Step-by-step explanation:
Hope this helped, have a great day! ;D
A photography studio charges $50 for a sitting fee and 6 prints. Luigi increased his order to 11 prints and paid $65. Write an equation in point-slope form.
HELP ME PLEASEEEE!!!
Answer: Sitting fee - 32$
Step-by-step explanation:
This is a system of equations(let x represent the sitting fee)
x+6y=50
x+11y=65
You want to isolate the x variable - x+6y-6y=50-6y ; x = 50-6y
Input this into the 2nd equation: 50-6y+11y=65 ; 50+5y=65
Subtract 50 from both sides. 5y=15 (Divided 5y on both sides) ; y=3
Now that y = 3 input this into any equation I choose the 1st one.
x+6(3) = 50 ; x + 18 = 50 (Subtract 18 on both sides to get x)
x = 32
Prove: 32 + 6(3) = 50 ; 32+18 = 50 ; 50 = 50 True
(0,3) (0,0) (2,0) (6,-2) (0,5) (-2,6) Which of the points are solutions to the system? Select the 3 correct answers
rocky thinks of an odd integer adds the next two consecutive integer which of these could be the sum
Answer:
C
Step-by-step explanation:
1. Let x be the odd integer. Let y be the sum.
x + (x + 1) + (x + 2) = y
3x + 3 = y
Adding two consecutive integers to an odd integer will result in an even integer.
So, you can eliminate choices B and D since they are odd.
Lastly, plug in choices A and C for y and choose the answer that makes x an integer.
Choice C would give you the correct result.
3x + 3 = 44562
3x = 44559
x = 14853
The odd integer and the two consecutive integers whose sum is 44,562 are 14,853, 14,854, and 14,855 respectively.
Let
Small odd integer = xNext consecutive integer = x + 1Next two consecutive integer = x + 2Sum of consecutive integers = 44,562Sum:
x + (x + 1) + (x + 2) = 44,562
x + x + 1 + x + 2 = 44, 562
3x + 3 = 44,562
Subtract 3 from both sides3x = 44,562 - 3
3x = 44,559
divide both sides by 3x = 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.
Learn more about consecutive numbers:
https://brainly.com/question/10853762
1. y = 5x + 2, (2,7)
y=5x−2 , y=−2x+5
Eliminate the equal sides of each equation and combine.
5x−2=−2x+5
Move all terms containing
x
to the left side of the equation.
Tap for more steps...
7x−2=5y=−2x+5
Move all terms not containing
x
to the right side of the equation.
Tap for more steps...
7x=7y=−2x+5
Divide each term by
7
and simplify.
Tap for more steps...
x=1y=−2x+5
Replace all occurrences of x in y=−2x+5 with 1.
x=1y=−2⋅1+5
Simplify −2⋅1+5.
Tap for more steps...
x=1y=3
The solution to the system of equations can be represented as a point.(1,3)
The result can be shown in multiple forms.
Point Form:(1,3)
Equation Form:
x=1,y=3
Examine the diagram, and answer the question.
The points A(2,7)
and B(−4,−3)
are located in the coordinate plane as shown.
Points A and B are shown in the coordinate plane at the locations indicated.
© 2016 StrongMind. Created using GeoGebra.
What is the approximate distance between the two points?
15.6
7.3
6.7
11.7
9514 1404 393
Answer:
11.7
Step-by-step explanation:
GeoGebra can not only draw the picture, it can answer the question. The approximate distance between the points is about 11.7 units.
__
The distance formula is used for this:
d = √((x1 -x1)² +(y2 -y1)²)
d = √((-4-2)² +(-3-7)²) = √(36 +100)
d = √136 ≈ 11.7
_____
Once you find that the distance is about √136, you know it is more than 11 (11² = 121) and less than 12 (12² = 144). The only answer choice that makes any sense is 11.7.
The mural of your school mascot is $4$ feet by $12$ feet and is to be completely framed using a single row of square tiles each $2$ inches on an edge. If the tiles are $\$0.10$ each, find the cost, in dollars, of the tiles needed to frame the mural.
Answer:
$19.2
Step-by-step explanation:
The school mascot is rectangular in nature.
Perimeter P = 2(L+W)
L is the length = 4feet
W is the width = 12 feet
Perimeter = 2(4+12)
Perimeter = 2(16)
Perimeter = 32 feet
Convert to inches
12in = 1feet
x = 32 feet
Cross multiply
x = 12 * 32
x = 384in
Hence the perimeter of the school mascot is 384in
If it is to be completely framed using a single row of square tiles each 2inches on an edge
2 inches = 1 tiles
384inches = y tiles
Cross multiply
2y = 384
y = 384/2
y = 192 tiles
The number of tiles needed is 192 tiles
Get the cost of 192tiles
If the tiles are $0.10 each. 192 tiles will cost 192 * 0.1 = $19.2
Hence the cost of the tiles needed is $19.2
Can yall actually help
I need jus 3 and 6
Answer:
3.) (x,y)⇒(x+9,y-5)
6.) T'= (-4,5) U'= (1,-7) V'= (2,4) W'= ( 7,2) X'=( 5,-10) Y'=( 0,2) Z'= ( 8,-3)
Step-by-step explanation:
i picked random so please help me
9514 1404 393
Answer:
A. 6, 24, 96, 384
Step-by-step explanation:
The recursive formula tells you that the next number in sequence is 4 times the previous one.
For first term 6, the second term is 4·6 = 24.
For 2nd term 24, the third term is 4·24 = 96.
For 3rd term 96, the fourth term is 4·96 = 384.
The first four terms of the sequence are ...
6, 24, 96, 384
__
You don't even need to figure all four terms. You know immediately which sequence is correct once you have found ...
[tex]G_2=4*G_1=4*6=24[/tex]
Anyone know the answer??
Help I don't know his help meeee
Answer:
30
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.
y
A'
What is the pre-image of vertex A' if the image shown
on the graph was created by a reflection across the line
y = x?
8
C'
4
B'
O (10,-2)
O (-10, 2)
O (-2,-10)
O (2, 10)
-8
-4
Answer: -2/10
Step-by-step explanation:
The pre-image of vertex A' by a reflection across the line y = x is (2, 10).
What is Transformation?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.
We have,
The coordinate of A(10 ,2)
Now, When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places.
Then, the pre image of vertex A' is (2, 10).
Learn more about Transformation here:
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I need help answering that I’m lost and it’s a 3 step problem
HELPPP!!!!!!
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?
Answer:
tiana
Step-by-step explanation:
because she took less time in the practise
Answer:
Tiana
Step-by-step explanation:
It is Tiana because she took less time while practicing.
i have the coronavirus
Answer:
Ok-
Step-by-step explanation:
80 is what percent of 125?
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 !!!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
For values of x less than zero, the graph of the function is a graph of the line
y = -x
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
y = -x -2
This line has the same -1 slope as before, but has a y-intercept of -2. The function is not actually defined as (0, -2), so there is an open circle at the end of the line there.
Factor completely −5x3 + 10x2.
Prime
−x(5x2 − 10x)
5x(−x2 + 2x)
−5x2(x − 2)
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
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
Answer:
D represents a function pretty sure I had a problem like this as well
Step-by-step explanation:
Mr. Green is putting lights around 8 windows;
each window is 1 and a half metres wide and
2metres long. How many metres of lights
Answer: 24 1/2
Step-by-step explanation: