PLEASE HELP!! I’ve added an attachment. Please help me find the type of statement for this mathematical question. TYSM!!
Answers
Answer:
Step-by-step explanation:
Statements Reasons
1). AD ≅ BC 1). Given
2). ∠D ≅ ∠C 2). Given
3). ∠DEA ≅ ∠CEB 3). Vertically opposite angles
4). ΔADE ≅ Δ BCE 4). AAS postulate of congruence
5). AE ≅ BE 5). CPCTC
Hence, proved.
Related Questions
Which theorem proves that the triangles are congruent?
A. AAS
B. SSS
C. SAS
D. ASA
Answers
Answer:
D. ASA
Step-by-step explanation:
ASA (Angle-Side-Angle) is a proof of congruence when two triangles share two angles and the side between them.
Answer:
However, note further that the congruent sides are not included sides of the two relevant angles, in which case it won't be ASA but AAS.
Therefore, the two angles are congruent by the AAS Congruence Theorem and the correct answer is C.
Step-by-step explanation:
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Express y in terms of x in the equation =
Answers
Answer:
y = 3/2x + 5
Step-by-step explanation:
2y - 3x - 10 = 0
2y = 3x + 10
y = 3/2x + 5
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two pink
marbles if the first one is NOT placed back
into
the bag before the second draw?
Give your answer as a rational number, reduced to
simplest terms.
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Answers
Answer:
[tex]Pr = \frac{1}{45}[/tex]
Step-by-step explanation:
Given
[tex]Black =5[/tex]
[tex]Pink = 2[/tex]
[tex]Blue = 3[/tex]
Required
[tex]P(Pink\ and\ Pink)[/tex]
This is calculated as:
[tex]Pr = P(Pink) * P(Pink)[/tex]
Because it is a selection without replacement, the probability is:
[tex]Pr = \frac{n(Pink)}{Total} * \frac{n(Pink) - 1}{Total - 1}[/tex]
[tex]Pr = \frac{2}{10} * \frac{2 - 1}{10 - 1}[/tex]
[tex]Pr = \frac{2}{10} * \frac{1}{9}[/tex]
[tex]Pr = \frac{1}{5} * \frac{1}{9}[/tex]
[tex]Pr = \frac{1}{45}[/tex]
i need the base and hight
Answers
Answer:
Height = 5 and Base = 10
Step-by-step explanation:
The base of the parallelogram is twice the perpendicular height of the parallelogram. The area of the parallelogram is 50 cm².
Formula for area of parallelogram = base × height
Base = 2h
Height = h
∴ Area = 2h × h = 50
Solution:
2h × h = 50
2h² = 50
[tex]\frac{2h^{2} }{2} = \frac{50}{2}[/tex]
h² = 25
[tex]\sqrt{h^{2} } = \sqrt{25}[/tex]
h = 5
∴ height = 5 and base = 2(5) = 10
Which of the following is an irrational number?
Answers
√108 is an irrational number among following
Answer:
The first number
He second is a rational decimal number and the third equals to 8.
PLS HELP FAST
Find the product of zeroes of the quadratic polynomial
[tex] {2x}^{2} – 13x + 15[/tex]
Answers
Step-by-step explanation:
[tex] consider \: \: {2x}^{2} - 13x + 15 = 0 \\ (2x - 3)(x - 5) = 0 \\ 2x - 3 = 0 \: \: \: \: \: or \: \: \: \: \: x - 5 = 0 \\ x = 1 \frac{1}{2} \: \: \: \: \: or \: \: \: \: \: x = 5 \\ \\ \\ hence \: the \: products \: of \: zero \: are \: x = 1 \frac{1}{2} \: and \: x = 5[/tex]
I need help again plz
Answers
6.231 has a 1 after the 3, meaning you keep the 3 instead of rounding it up to 6.24
Without solving, determine the number of
solutions to 3x2 + 5x + 2 = -8. Show your work.
Answers
Answer:
2 solutions for this equation because the highest power is 2
8(2x + 3y)
In distributive property
Answers
Answer:
16x+24y
Step-by-step explanation:
8(2x+3y)
8*2x+8*3y
16x+24y
8(2x) + 8(3y)
Solve for n.
11(n – 1) + 35 = 3n
Answers
Answer:
n = -3
Step-by-step explanation:
11(n – 1) + 35 = 3n
Distribute
11n -11 +35 = 3n
Combine like terms
11n +24 = 3n
Subtract 11n from each side
11n+24 -11n = 3n -11n
24 = -8n
Divide by -8
24/-8 = -8n=-8
-3 =n
Step 1: Rewrite equation
11(n-1)+35=3n
Step 2: Distribute
To distribute, you need to multiply the numbers on the outside of the parentheses with the numbers on the inside. To do so, you need to multiple 11•n and 11•-1.
11(n-1)+35=3n
11n-11+35=3n
Step 3: Combine like terms
“Like terms” are numbers that share the same variable, or lack of. To start, you must only combine like terms on the same side of the equation. In this case, the like terms are -11 and 35. Add these to combine like terms.
11n-11+35=3n
11n+24=3n
Step 4: Put variables on one side
It is important to keep variables on one side of the equation, and the constants on the other. To do so, we need to subtract 11n on both sides.
11n+24=3n
24=-8n
Step 5: Get n alone
In this final step, we need to get n alone to solve for the variable. To do so, we need to get rid of the -8 next to it. We can do this by diving 24 by -8 and diving -8n by -8.
24=-8n
-3=n
This is your final answer: 3=n. Hope this helps! Comment below for more questions.
A writer was paid $4,000 for a 2,000-word article.
How much is that per word?
Answers
Answer:
$2 per word
Step-by-step explanation:
A survey was done to determine the relationship between gender and subject preference. A total of
56 students were surveyed to determine if they liked math, English, social studies, or science as their
favorite subject. The results were then broken down based on whether the respondent was male or
female.
Answers
The question is incomplete. The complete question is :
A survey was done to determine the relationship between gender and subject preference. A total of 56 students were surveyed to determine if they liked math, English, social studies, or science as their favorite subject. The results were then broken down based on whether the respondent was male or female.
Which of the following is the closest to the joint relative frequency of being a male who likes social studies ?
Solution :
A two way table used in statistics and mathematics is used to show the frequencies or the relative frequencies for any two categorical variables. One of the category is represented by the rows while the other categories by a column.
Here, in this table it is given that the total surveyed = 56 students
From the table, we know that number of males who likes social studies = 8
Therefore, the closest to the joint relative frequency for being a male who likes the subject social studies is given by :
[tex]$=\frac{8}{56}$[/tex]
[tex]$=\frac{1}{7}$[/tex]
=0.14
Yesterday, Janie walked 3
5
mile to a friend’s house, 1
4
mile to the store, and 3
8
mile to another friend’s house. Which is the best estimate of the distance Janie walked?
Three-fourthsmile
1 mile
1 and one-fourthmiles
2 miles
Answers
Answer:
1 and one-fourthmiles
Step-by-step explanation:
Answer:
C. 1 1/4
Step-by-step explanation:
i did the question
Name the marked angle in 2 different ways.
Answers
Answer:
angle GIH
angle HIG
this is the answer
Help pleaseeee I need it ASAP
Answers
Answer:
Option D:Diagonals of a square bisect each other
Step-by-step explanation:
The diagonals of a square are equal and bisect each other at right angles and making the bisected parts equal.
I know
SOMEONE HELP ME ASAP IM STRESSING OUT
Answers
Answer:
Use SOHCAHTOA
Step-by-step explanation:
If you don't know what this is, it means Sin=opposite/hypotenuse, cos=adjacent/hypotenuse, tan=opposite/adjacent. There is more than 1 way to solve this, but here's how I did it.
Starting with part A, we are trying to find the hypotenuse of the triangle. We have an angle and the side opposite of that angle, so we can use the sin function.
Sin(54) = 12.2 / hypotenuse
Sin(54) * hypotenuse = 12.2
Hypotenuse = 12.2 / sin(54) = 15.1
Now for Part B
Finding the last angle
180-90-54=36
So now, we have this angle and the side adjacent to it. We are trying to find the opposite side, so let's use the tan function
Tan(36) = opp / 12.2
opp = tan(36) * 12.2 = 8.9
You can double check these answers using pythagorean theorem. Hope this helps
Factor this expression completely, then place the factors in the proper location on the grid. A3y + 1
Answers
Answer: HI your question is incomplete/poorly attached below is the complete question
answer
( a + 3 ) , ( b + 2 )
Step-by-step explanation:
Given expression = ab + 2a + 3b + 6
factorizing the expression completely we will have
= a( b + 2 ) + 3 ( b + 2 )
hence the factors of the expression = ( a + 3 ) , ( b + 2 )
Given that f(x) = x^2 - 6x + 8 and g(x) = x – 2, find (f.g)(x) and express
the result in standard form.
Answers
Answer:
(F.g(x))=x^2-10x+24
Step-by-step explanation:
when when we have a composition function, like f of g of x, we put the second function g of x in place of every x in f of x,
so f(x)=x^2-6x+8
and we will put x-2 which is g(x) in the place of every x
so f(g(x))=(x-2)^2-6(x-2)+8
so we ca n simplify that into f(g(x))=x^2-4x+4-6x+12+8
which simplifies to f(g(x))=x^2-10x+24
Kayla had m marbles. She gave 4 marbles to her cousin. Enter an expression to represent the number of marbles Kayla has now.
Answers
Answer:
[tex]m-4\\[/tex]
Step-by-step explanation:
[tex]m-4[/tex]
A rectangle has a perimeter of `52` cm. Its width is `9` cm.
what is the length of the rectangle?
Answers
Perimeter equation is L+L+W+W= Perimeter
9+9+W+W=Perimeter
I took 18 and subtracted it from 52 and got 34.
Since we are calculating one side length I divided by 2 which got me to 17.
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A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0).
What is the equation of the directrix?
x=−4
y=−4
x=4
y=4
Answers
Determine the location and values of the absolute maximum and absolute minimum of given function: f(x)= ( -x+2)^4, Where 0<=x<=3
Answers
Answer:
The absolute maximum and the absolute minimum are (0, 16) and (2, 0).
Step-by-step explanation:
First, we obtain the first and second derivatives of the function by chain rule and derivative for a power function, that is:
First derivative
[tex]f'(x) = -4\cdot (-x+2)^{3}[/tex]
Second derivative
[tex]f''(x) = 12\cdot (-x + 2)^{2}[/tex]
Then, we proceed to do the First and Second Derivative Tests:
First Derivative Test
[tex]-4\cdot (-x+2)^{3} = 0[/tex]
[tex]-x + 2 = 0[/tex]
[tex]x = 2[/tex]
Second Derivative Test
[tex]f''(2) = 12\cdot (-2+2)^{2}[/tex]
[tex]f''(2) = 0[/tex]
The Second Derivative Test is unable to determine the nature of the critical values.
Then, we plot the function with the help of a graphing tool. The absolute maximum and the absolute minimum are (0, 16) and (2, 0).
What is the ans of this?
Answers
Step-by-step explanation:
everything can be found in the picture
what is the surface area of the cylinder with the hight of 8 ft and the radius of 6 ft? round your answer to the nearest thousandths
Answers
Answer:
A = 301.593 ft^2
Step-by-step explanation:
The lateral area of a cylinder of radius r and height h is
A = 2πrh. This does not include the areas of the ends of the cylinder.
Here that area is A = 2(3.14159)(6 ft)(8 ft), or
A = 301.593 ft^2
1/7 divided by 2/5 minus 1/7
Answers
5/14 minus 1/7 is 3/14
the average length of string a and string d is 10x cm . the average length of string b and string c is 8x cm . the average length of string b , c, d is 6x cm . find the length of string a is terms of x
Answers
Answer:
a= 18x
Step-by-step explanation:
(a+d)/2 = 10x (1)
(b +c)/2 = 8x (2)
(b+c+d)/3 = 6x (3)
From the equation 2, we have (b+c)= 8x *2 = 16x
From the equation 3, we have d= 6x*3 - (b+c)= 18x- 16x = 2x
From the equation 1, we have a= 10x*2 -d= 20x - 2x= 18x
what is logarithm in mathematics
Answers
Answer:
Logarithm, the exponent or power to which a base must be raised to yield a given number.
Is -2 a solution to 4x^(3)-x^(2)+16x-4
Answers
Answer:
Not a solution
Step-by-step explanation:
In order for [tex]x=-2[/tex] to be a solution, the result after substituting must be 0:
[tex]4(-2)^3-(-2)^2+16(-2)-4\stackrel{?}{=}0[/tex]
[tex]4(-8)-4-32-4\stackrel{?}{=}0[/tex]
[tex]-32-40\stackrel{?}{=}0[/tex]
[tex]-72\neq0[/tex]
Therefore, [tex]x=-2[/tex] is not a solution to [tex]4x^3-x^2+16x-4[/tex]
In parallelogram LMNP if PQ=21 find QM.
Answers
Answer:
QM = 21
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
QM = PQ = 21
Nintendo is interested in the gaming experience of players for their new Mario Kart game . What type of survey should they use to gather the data?
Answers
Answer:
Online surveys
Explanation:
Online surveys will be the most suitable survey type here to gather gamers' experience with Nintendo's new game. Also being the most common and convenient type of surveys nowadays, online surveys are very much flexible and can be tailored to suit any audience, and even has a broader audience. Nintendo can use online surveys here to gather user's(all over the world) experience through their website, emailed to people directly etc. There is even a wider reach now considering the popular use of mobile devices.