Answer:
AB/DB = CB/EB
Step-by-step explanation:
This is the answer on Pluto. I got lucky when I guessed
The solution is given below.
What is alternate angles?The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.
Here given:
AB II DE, AC = CE
Now, in ΔABC and ΔEDC
As, AB II DE (given)
⇒∠BAC = ∠CED (Alternative pairs of angles)
and ∠ABC = ∠CDE (Alternative pairs of angles)
and AC = CE (given)
So, by the congruent property of AAS
(ANGLE ANGLE SIDE) which states that two triangle are congruent if two angles and one side of one triangle is equal to the two angles and one side of the other triangle.
ΔABC ≅ ΔEDC
to learn more on alternate angle click:
brainly.com/question/7197938
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complete question:
Given: AB II DE, AC = CE
Prove: A ABC = A EDC
Which congruence statement is correct?
What is the volume of the following rectangular prism? (please help)
Answer:
?
Step-by-step explanation:
i think ljhh ako naiintindihan
If line r is parallel to —- ?
Answer:
the correct answer is 10
Bill notes that his apple tree is 45 the size of his pear tree. His apple tree is 4 meters tall. How tall is the pear tree?
Answer:
11.25 m
Step-by-step explanation:
45 divide by 4
because the Apple tree is 45 the size of pear tree
Answer: 5
Step-by-step explanation:
If 20% of a length is 23cm ,whathat is the complete length
Step-by-step explanation:
20% of the length is 23 cm
100% of the length is 23×5 = 115 cm
Use Pythagorean Theorem to find each missing length
please help with the steps
Answer:
25 is A and 26 is B
Step-by-step explanation:
25) a²+b²=c²
missing side can be=b
to find the missing side subtract 6.7² from 12.6²
b²=12.6²-6.7²
b²=158.76-44.89
the square root of b²= the square root of 113.87
b=10.67
the missing side is equal to 10.7(1d.p)
26) a²+b²=c²
c= hypotenuse
10.8²+11²=c²
116.64+121=c²
c²=237.64
the square root of c²= the square root of 237.64
c=15.42(2d.p)
the hypotenuse is=15.4
The places that I have "the square root of" you must replace it with the square root sign. I'm using my phone so I wasn't sure how to insert a square root sign.
Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.
x + y - z = -2
2x - y + 3z = 9
x - 4y - 2z = 1
Answer:
x = 1 , y = - 1 , z = 2
Step-by-step explanation:
[tex]\begin{pmatrix}1&1&-1&-2\\ 2&-1&3&9\\ 1&-1&-2&1\end{pmatrix}\\\\\\= \begin{pmatrix}2&-1&3&9\\ 1&1&-1&-2\\ 1&-1&-2&1\end{pmatrix}[/tex] [tex][ \ swap \ R_1 \ and \ R_2 \ ][/tex]
[tex]=\begin{pmatrix}2&-1&3&9\\ 0&\frac{3}{2}&-\frac{5}{2}&-\frac{13}{2}\\ 1&-4&-2&1\end{pmatrix}[/tex] [tex][ \ R_2 = R_2 - \frac{1}{2} R_1 \ ][/tex]
[tex]=\begin{pmatrix}2&-1&3&9\\ 0&\frac{3}{2}&-\frac{5}{2}&-\frac{13}{2}\\ 0&-\frac{7}{2}&-\frac{7}{2}&-\frac{7}{2}\end{pmatrix}[/tex] [tex][ \ R_3 = R_3 - \frac{1}{2} R_1 \ ][/tex]
[tex]=\begin{pmatrix}2&-1&3&9\\ 0&-\frac{7}{2}&-\frac{7}{2}&-\frac{7}{2}\\ 0&\frac{3}{2}&-\frac{5}{2}&-\frac{13}{2}\end{pmatrix}[/tex] [tex][ \ swap \ R_2 \ and \ R_3 \ ][/tex]
[tex]=\begin{pmatrix}2&-1&3&9\\ 0&-\frac{7}{2}&-\frac{7}{2}&-\frac{7}{2}\\ 0&0&-4&-8\end{pmatrix}[/tex] [tex][ \ R_3 = R_3 + \frac{3}{7}R_2 \ ][/tex]
Therefore,
[tex]-4z = - 8\\\\z = 2[/tex]
[tex]-\frac{7}{2} y - \frac{7}{2}z = -\frac{7}{2}\\\\y + z = 1\\\\y + 2 = 1 \\\\y = 1 - 2 = - 1[/tex]
[tex]2x - 1y + 3z = 9\\\\2x -1(-1) + 3(2) = 9\\\\2x + 1 + 6 = 9\\\\2x = 9 - 7\\\\2x = 2 \\\\x = 1[/tex]
a cylindrical barrel (drum) contains 42 gallons of oil. the diameter of this barrel is 18 inches
determine the radius of a barrel (drum) in centimetre.
Answer: 1.345714286
Step-by-step explanation:
This is the full answer, if you want to round it up. Then your welcome to do so.
How many solutions are there to the equation below?
4(x – 5) = 3x + 7
Answer:
one solution
Step-by-step explanation:
4(x - 5) = 3x + 7
4x - 20 = 3x + 7
4x - 3x = 7 + 20
x = 27
Answer:
1 solution
Step-by-step explanation:
x = 27
distribution of 4 into x and -5
4x-20 = 3x +7
-3x+20=-3x+20
x = 27
Estimate and classify the critical points for the graph of the function.
Answer:
Critical point is at (-1, 2) because it is the point where the slope is approximately zero.
Step-by-step explanation:
A critical point in a graph like this is simply the point where the slope is zero or undefined.
Looking at the graph given, the point at which the graph slope is zero is around the coordinate (-1, 2).
So we estimate that to be the critical point.
Which point represents the value of -(-2) on the number line?
Answer:
2
Step-by-step explanation:
-(-2)
negative x negative always give positive .
=>2
You can easily represent 2 on number line
Kin travels 180 miles by train at an average speed of 90 mph.
Ayaan flies the same distance at an average speed of 720 mph.
Find the difference between their travel times.
Give your answer in hours.
Answer:
1.75 hours
Step-by-step explanation:
time = distance / speed
Kin
t = 180 / 90 = 2 hours
Ayaan
t = 180 / 720 = 0.25 hours
Difference
2 - 0.25 = 1.75 hours
Answer:
1.75
Step-by-step explanation:
Can someone help me with this question please.
Answer:
40
Step-by-step explanation:
As the lawn size increases by 4 the weight increases by 8
A geneticist conducts an experiment with peas, one sample of offspring consisted of 450 green peas and 157 yellow peas. Based on these results, estimate the probability of getting an offspring pea that is green.
Answer: 0.738
Step-by-step explanation:
11. Mendelian Genetics. When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value that was expected?
p0 = 428/(428 + 152) = 0.737931
If you round your answer of 0.737931 to three decimals you will
get 0.738.
Defined the total variation distance to be a distance TV(P,Q) between two probability measures P and Q. However, we will also refer to the total variation distance between two random variables or between two pdfs or two pmfs, as in the following.
Compute TV(X,X+a) for any a∈(0,1), where X∼Ber(0.5).
TV(X,X+a) = ?
Answer:
1
Step-by-step explanation:
Computing Tv(X, X + a ) for any a∈(0,1)
Given that : X∼Ber(0.5)
∴ The probability mass function
P(X = 1 ) = 0.5
P(X = 0) = ( 1 - 0.5 )
and expectation E[X] = 0.5
hence ; TV ( X, X + a ) = 1
A rock group plans three concert tours over a period of 30 weeks. The tour in Britain will be twice as long as the tour in France and the tour in Germany will be 2 weeks shorter than the tour in France. How many weeks will they be in France?
Answer:
8 weeks
Step-by-step explanation:
Let x represent how many weeks they will be in France.
The tour in Britain can be represented by 2x, since it is twice as long as the one in France.
The tour in Germany can be represented by x - 2, since it is 2 weeks shorter.
Create an equation and solve for x:
(x) + (2x) + (x - 2) = 30
4x - 2 = 30
4x = 32
x = 8
So, they will be in France for 8 weeks
What is the value of the expression 3m-4.2 If m equals 2.1
Answer:
2.1
Step-by-step explanation:
Given :
3m-4.2 where, m=2.1
Now,
3(2.1)-4.2
6.3-4.2
2.1
Answer is 2.1
What is the tens digit in the sum 7! + 8! + 9! + … + 2006!
You can get the tens digit of any number n by computing the quotient
(n (mod 100)) / 10
and ignoring the remainder.
Taking the given sum (mod 100) gives
7! + 8! + … + 2006! ≡ 7! + 8! + 9! (mod 100)
since the last 1997 terms (i.e. 10! up to 2006!) in the sum are multiples of 100. That is,
• every term beyond 100! is obviously a multiple of 100
• every term beyond 25! contains a factor of both 4 and 25
• every term beyond 10! contains two factors each of both 2 and 5 (i.e. every factorial term contains 4, 5, and 10)
The remaining sum is easy to compute by hand:
7! + 8! + 9! = 7! (1 + 8 + 8 × 9) = 5040 × 81 = 408,240
so the tens digit is 4.
Jestina has A apples, she gave 5 to her sister, enter an expression to represent the number of apples jestina has now!! (show work please!)
Answer: A-5
Step-by-step explanation:
Jestina has A apples
she gave 5 away
so she has 5 fewer apples than she had before
so A-5 is the amount of apples she has now
Can someone help with this
Answer: 28
Step-by-step explanation: ADB = 1/2 ACB
Please help!! Will mark brainilest ☺️☺️
To finance the purchase of several new cars ,the Lincoln car rental agency borrowed $ 110 000 for 9 months at an annual interest rate of 5% . What is the simple interest due on the loan?
Answer: 4125
Step-by-step explanation:
S.I = P X R /100 X T
S.I = 110000 x 5/100 x 9/12 = 4125
= 4125
Answer:
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What is the equation of the line that is perpendicular to the line defined by the equation 2y = 3x + 1 and goes through the point (3, 2)?
options:
y = - 1/3 x + 3
y = -2/3x + 4
y = 1/3x – 1
y = 2x – 4
y = 6x + 5
Answer:
Step-by-step explanation:
In order to determine the perpendicular slope to the given line, we first need to determine the slope of the given line, which is not apparent in its current form. We need to solve the equation for y to determine the slope:
2y = 3x + 1 in slope-intercept form is
[tex]y=\frac{3}{2}x+\frac{1}{2}[/tex] . Therefore, the perpendicular slope, the opposite reciprocal of the given slope of 3/2 is -2/3. Passing through the point (3, 2):
[tex]y-2=-\frac{2}{3}(x-3)[/tex] and
[tex]y-2=-\frac{2}{3}x+2[/tex] so
[tex]y=-\frac{2}{3}x+4[/tex], the second choice down.
A class of 30 students ate 9 pizzas. How many pizzas would be needed for 40 students?
Answer:
12
Step-by-step explanation:
The ratio is 9:30
So for 40 people , it would be ?:40
Find the number that, when multiplies, by 30, equals 40. This is 1 1/3, or 1.3333... So multiply 9 by 1 1/3: 9 * 1 = 9, 1/3 * 9 = 3. ( + 3 = 12, so 12 pizzas
Answer:
12 i think
Step-by-step explanation:
f(a)=|x-6|-|x+5|
evaluate
what is the answered
pp lssss answer
[tex]\boxed{ \underline{ \bf \: Categorical}} \sf \: data \: set \: is \: the \: data \: set \\ \sf \: that \: deals \: with \: only \: non \: numerical \: values.[/tex]
Optoion C. Categorial data set is the right answer of the question given.
RaonbowSalt2222
which equation is the inverse of 5y+4=(×+3)^2+1/2?
Answer:
The inverse is -3 ±sqrt(5x+7/2)
Step-by-step explanation:
5y+4=(x+3)^2+1/2?
To find the inverse, exchange x and y
5x+4=(y+3)^2+1/2
Solve for y
Subtract 1/2
5x+4 -1/2=(y+3)^2+1/2-1/2
5x+8/2 -1/2=(y+3)^2+1/2-1/2
5x+7/2 = (y+3)^2
Take the square root of each side
±sqrt(5x+7/2) =sqrt( (y+3)^2)
±sqrt(5x+7/2) = (y+3)
Subtract 3 from each side
-3 ±sqrt(5x+7/2) = y+3-3
-3 ±sqrt(5x+7/2) = y
The inverse is -3 ±sqrt(5x+7/2)
Answer fast please and thanks!
Answer:
tan 30 = x / 15
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 30°
Opposite Leg = x
Adjacent Leg = 15
Step 2: Solve for x
Substitute in variables [tangent]: tan 30 = x / 15Answer:
3rd one
Step-by-step explanation:
Recall that
Sin = opposite over hypotenuse
Cos = adjacent over hypotenuse
Tan = opposite over adjacent
For the angle with a measure of 30 degrees we are given it's adjacent side length and need to find it's opposite side length
When dealing with opposite and adjacent we use tangent
If tan = opposite over adjacent
Then tan30 = x / 15 and the correct answer choice is the third one
2) A block of ice weighs 12 400 kg. It has the shape of a cylinder, with a radius of 1.2 m and
a height of 3 m. What is the density of the ice? Give your answer to one decimal place.
Answer:
= 3.6
Step-by-step explanation:
Do you know how to find the volume of a cylinder? Like any prism, it's area of base x height, in this case the base is a circle of radius 1.2m.
Density is simply mass / volume (kg / m3 ).
clarify its 1.2 x 3 = 3.6
12400 / 3.6 = 3.444 occuring
Given that abcd ~Jklm. Find the value of x, y, and z
Answer:
x = 7.2
y = 10
z = 6
Step-by-step explanation:
Since ABCD ~ JKLM, therefore, the ratio of their corresponding sides would be equal. Thus:
JK/AB = KL/BC = LM/CD = JM/AD
Substitute
12/x = y/6 = 15/9 = 10/z
✔️Find x:
12/x = 15/9
12/x = 5/3
Cross multiply
x*5 = 3*12
5x = 36
x = 36/5
x = 7.2
✔️Find y:
y/6 = 15/9
y/6 = 5/3
Cross multiply
y*3 = 5*6
3y = 30
y = 30/3
y = 10
✔️Find z:
15/9 = 10/z
5/3 = 10/z
Cross multiply
5*z = 10*3
5z = 30
z = 30/5
z = 6