*prove de/ae = bd/ce*
triangle proportionality.
i am able to find that the triangles are similar but don’t know how to prove the parallel sides are proportional to the side segments
Answers
Explanation:
You can use the definition of similarity to show that corresponding sides are proportional. You cannot prove anything about the proportionality of non-corresponding sides.
Statement . . . . Reason1. BD║CE . . . . given
2. ∠A≅∠A . . . . reflexive property of congruence
3. ∠ABD≅∠ACE . . . . corresponding angles theorem
4. ΔABD ~ ΔACE . . . . AA similarity postulate
5. BD/CE = AD/AE . . . . definition of similarity
_____
Additional comment
Length DE is related to BC in the same way that AD is related to AB. There is no way to prove the ratio you show in your problem statement. You can show that ...
DE/AE = (CE -BD)/CE = 1 -(BD/CE) . . . . the difference is proportional to the corresponding longer side
Related Questions
i need help please 100 points
Divide. 8 from 1/3
20
24
12
4
Answers
Answer: B. 24
Step-by-step explanation:
8 / 1/3 =
8 * 3 +
24
Answer:
24
Step-by-step explanation:
8 divided by 1/3=24
1/3x4=1 1/3
1/3x12=4
1/3x24=8
1/3x20=7 1/3
A spinner contains four sections: red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is given as S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}. If the random variable is "yellow (Y)," which of the following is the correct probability distribution? A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5625, 0. 375, 0. 625. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 75, 0. 25, 0. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5, 0. 375, 0. 125. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5, 0. 25, 0. 25.
Answers
The correct probability distribution of the random variable tracking "yellow (Y)" color is given by: Option A:
Yellow:x Probability
0 9/16 = 0.5625
1 6/16 = 0.375
2 1/16 = 0.0625
What is probability distribution?Probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable.
It might be a function, a table etc.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, the experiment consists of a spinner with four color sections, and is spun twice.
The sample space is:
S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}
Let we take:
X = the number of times out of two spins the color yellow occurs in a pair of spin of the considered spinner.
Then, as there are only two spin going to happen, so the values X can take are:
X = 0 (no yellow color in both spin)X = 1 (one of the spin ended up yellow, and other doesn't)X = 2 (both the spins resulted in yellow color).Let we take:
A = event that in first spin of the considered spinner, color yellow occurs.B = event that in second spin of the considered spinner, color yellow occurs.Then, as there are four colors equally likely, so we get:
P(A) = 1/4 (yellow color can occur in 1 way in one spin, and total number of colors that can occur = 4).
Similarly, we get P(B) = 1/4
Also, as first and second spins are independent of each other's result, so both A and B are independent events.
Getting the probabilities for each value of X:
Case 1: X = 0[tex]P(X = 0) = P(A' \cap B') = P(A')P(B') = (1-P(A))(1-P(B)) \\P(X = 0) = \dfrac{3}{4} \times \dfrac{3}{4}\\\\P(X = 0) = \dfrac{9}{16}[/tex]
(where A' and B' are complement of A and B, and as (A and B) are independent, so as (A' and B') and (A' and B) and (A and B') )
Case 2: X = 1So either first spin had yellow color, or second, so we get:
[tex]P(X = 1) = P((A' \cap B) \cup (A \cap B'))\\ P(X=1) = P(A' \cap B) + P(A \cap B') - P((A' \cap B) \cap (A \cap B'))\\P(X=1) = P(A')P(B) + P(A)P(B') -0\\P(X=1) = \dfrac{3}{4} \times \dfrac{1}{4} + \dfrac{1}{4} \times \dfrac{3}{4} - 0\\\\P(X = 1) = \dfrac{6}{16}[/tex]
Case 3: X = 2Both event A and B occured this time, so we get:
[tex]P(X = 2) = P(A \cap B) = P(A)P(B) \\P(X = 0) = \dfrac{1}{4} \times \dfrac{1}{4}\\\\P(X = 0) = \dfrac{1}{16}[/tex]
Thus, the probability distribution of X is:
X=x P(X = x)
0 9/16 = 0.5625
1 6/16 = 0.375
2 1/16 = 0.0625
Learn more about probability here:
brainly.com/question/1210781
A teenager puts $50 into an investment account in January. If by December the balance in the account increases by 17%, what is the amount of money in the account in December?
A.$67.00
B.$58.50
C.$41.50
D.$33.00
Answers
Answer:
58.50
Step-by-step explanation:
C.$58.50
|| ▼ Answer ▼ ||
|| ✪ Solution ✪ ||
Step 1:
In this question, we are given the following:
A teenager puts $50 into an investment account in January.
If by December the balance in the account increases by 17%,
what is the amount of money in the account in December?
Step 2:
In this case, we are going to use:
[tex]Amount=Principal~(~1+\frac{Rate}{100})^{n}[/tex]
Here, Principal = $ [tex]50[/tex]
Rate = 17%
[tex]^{n}(Time)=~From~January~to~December=12=months=1~year[/tex]
Then, we have that:
[tex]Amount=50~(~1+\frac{17}{100})^{1}[/tex]
[tex]Amount=50~(~1+0.17~)^{1}[/tex]
[tex]Amount=50~(~1.17)[/tex]
[tex]Amount=[/tex] $ 58.50 (Option B)
CONCLUSION:
The amount of money in the account in December = $ 58. 50 ( OPTION B )
Hope this helps!
If you have any queries please ask.
Complete the table below: Show all your work.
Answers
Answer:
Step-by-step explanation:
(-2, 8)
(-1, 6)
(0, 4)
(1, 2)
(2,0)
to "show work" just plug in each x value into that equation. you will never learn if all you do is copy down answers. i have given you all of the correct answers, and all you need to do is plug in the values for each x value into the equation, multiply then add. good luck man.
If a1= 7 and an = -4an-1 + n then find the value of a5
Answers
Answer:
a₅ = 1701
Step-by-step explanation:
[tex]a_1=7\\\\a_n=-4a_{n-1} + n\\\\a_2 = -4*a_1 + 2\\\\[/tex]
= -4*7 + 2
= -28 + 2
= -26
a₃ = -4a₂ + 3
= -4*(-26) + 3
= 104 + 3
= 107
a₄ = -4a₃ + 4
= -4*107 + 4
= -428 + 4
= -424
a₅ = -4a₄ + 5
= -4*(-424) + 5
= 1696 + 5
= 1701
Which equation best models the data shown on the scatter-plot below?
Answers
The scatterplot is an illustration of a linear regression.
The equation that best models the scatter plot is y = 4x+ 35
How to determine the equation of the scatterplot?The equation of a linear regression is represented as:
y = mx + b
Where:
m represents the slope
b represents the y-intercept
From the graph, we have the following points on the line of best fit (see attachment)
(x,y) = (10,75) and (20,105)
The equation is then calculated as:
[tex]y = (\frac{y_2 - y_1}{x_2 - x_1})(x -x_1) + y_1[/tex]
This gives
[tex]y = (\frac{105 - 75}{20- 10})(x -10) + 75[/tex]
Evaluate
[tex]y = 4(x -10) + 75[/tex]
Open the bracket
[tex]y = 4x -40 + 75[/tex]
Simplify
[tex]y = 4x+ 35[/tex]
Hence, the equation that best models the scatter plot is y = 4x+ 35
Read more about scatter plots at:
https://brainly.com/question/6592115
Write down the first 4 terms of a sequence that starts at 0 and decreases by 6 in each term.
Answers
Answer:
0, -6, -12, -18
Step-by-step explanation:
start at 0, then subtract by 6 to get -6. then subtract 6 again to get -12. then subtract 6 again to get -18.
please give brainliest!!!!
pls help i’ll reward brainliest
Answers
Answer:
A. y = 2x + 2
Step-by-step explanation:
For this function....
f(0) = 2
f(1) = 4
f(2) = 6
f(3) = 8
I hope this helps!
Write the log equation as an exponential equation. You do not need to solve for x.
log 5 (5) = 3x
Answers
Answer:
[tex]5=5^{3x}[/tex]
Step-by-step explanation:
[tex]log_5(5)=3x\\\\5=5^{3x}[/tex]
Thank you to who ever answers this
Answers
Answer:
The answer is G.
Step-by-step explanation:
Trust me.
Answer:
J is the answer
Step-by-step explanation:
I had given the explanation but brainly deleted it for having a link.
Just use this:
"What is a box and whisker plot?
A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.
In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.
Example: Finding the five-number summary
A sample of 101010 boxes of raisins has these weights (in grams):
252525, 282828, 292929, 292929, 303030, 343434, 353535, 353535, 373737, 383838
Make a box plot of the data.
Step 1: Order the data from smallest to largest.
Our data is already in order.
252525, 282828, 292929, 292929, 303030, 343434, 353535, 353535, 373737, 383838
Step 2: Find the median.
The median is the mean of the middle two numbers:
252525, 282828, 292929, 292929, \large{30}3030, \large{34}3434, 353535, 353535, 373737, 383838
\dfrac{30+34}{2}=32
2
30+34
=32start fraction, 30, plus, 34, divided by, 2, end fraction, equals, 32
The median is 323232.
Step 3: Find the quartiles.
The first quartile is the median of the data points to the left of the median.
252525, 282828, \large{29}2929, 292929, 303030
Q_1=29Q
1
=29Q, start subscript, 1, end subscript, equals, 29
The third quartile is the median of the data points to the right of the median.
343434, 353535, \large{35}3535, 373737, 383838
Q_3=35Q
3
=35Q, start subscript, 3, end subscript, equals, 35
Step 4: Complete the five-number summary by finding the min and the max.
The min is the smallest data point, which is 252525.
The max is the largest data point, which is 383838.
The five-number summary is 252525, 292929, 323232, 353535, 383838.
Example (continued): Making a box plot
Let's make a box plot for the same dataset from above.
Step 1: Scale and label an axis that fits the five-number summary.
Step 2: Draw a box from Q_1Q
1
Q, start subscript, 1, end subscript to Q_3Q
3
Q, start subscript, 3, end subscript with a vertical line through the median.
Recall that Q_1=29Q
1
=29Q, start subscript, 1, end subscript, equals, 29, the median is 323232, and Q_3=35.Q
3
=35.Q, start subscript, 3, end subscript, equals, 35, point
Step 3: Draw a whisker from Q_1Q
1
Q, start subscript, 1, end subscript to the min and from Q_3Q
3
Q, start subscript, 3, end subscript to the max.
Recall that the min is 252525 and the max is 383838.
We don't need the labels on the final product:
Want to learn more about making box and whisker plots? Check out this video.
Want to practice making box plots? Check out this exercise."
[tex]y+2=(x^2/2)-2sin(y)[/tex]
Answers
the assumption being that "y" is encapsulating a function in "x" terms.
[tex]y+2=\cfrac{x^2}{2}-2sin(y)\implies \stackrel{\textit{taking the derivative to both sides}}{\cfrac{dy}{dx}+0=\cfrac{1}{2}(2x)\underset{chain~rule}{-2cos(y)\cdot \cfrac{dy}{dx}}} \\\\\\ \cfrac{dy}{dx}=x-2cos(y)\cfrac{dy}{dx}\implies \cfrac{dy}{dx}+2cos(y)\cfrac{dy}{dx}=x \\\\\\ \cfrac{dy}{dx}\left[ 1+2cos(y) \right]=x\implies \cfrac{dy}{dx}=\cfrac{x}{1+2cos(y)}[/tex]
explain whether each equation is a linear equation.
Answers
Answer:
3. Not linear
4. Linear
Step-by-step explanation:
3. The equation has an exponent on the x. Since x is squared the graph is a parabola. The graph is a curve, not a line, so it is not linear.
4. Both the x and y have no exponent (which is an exponent of 1) The graph will be a line. This is a linear function.
100 points!!! please help me with this math.
Answers
f=72°
d=153°
b=27°
a=64°
be careful i started with f
Answer:
a=64
b=27
d=153
f=72
Step-by-step explanation:
a+72+134+90=360(sum of the angles around a point is 360)
a+296=360
a=360-296
a=64
b=27(vertically opposite angles are equal in magnitude)
27+b+d+e=360(sum of the angles around a point is 360)
d=e (vertically opposite angles are equal in magnitude)
Therefore,
27+27+2d=360
54+2d=360
2d=360-54
2d= 306
d= 306÷2
d= 153
108+f=180(sum of the adjacent angles on a straight line is 180)
f=180-108
f=72
HELP ASAP PLEASE NO LINKS
Jason researched the number of women and men enrolled in colleges in the United States.
. MO - 0.081 +6.18 represents the number of men enrolled, in millions
• WO) - 0.21 +4.93 represents the number of women enrolled, in millions
. t represents the number of years after 1975.
Which expression represents how many more women than men (in millions) were enrolled in colleges in the United States in 2001?
A) 0.39(2001) + 11.11
B 0.39(26) +11.11
(C
0.13(2001) - 1.25
D
0.13(26) - 1.25
Answers
Answer:
C
Step-by-step explanation:
0.081+6.18 =6.261
0.21+4.93 =5.14
6.261 - 5.14 = 0.13
for every 1/2 cup portion of baby cereal you will need 4 oz of milk. how many ounces of milk will you need to prepare 20 portions
Answers
Answer:
80 oz
Step-by-step explanation:
20 portions times 4 oz is 80 oz
What is the measure of space inside a suitcase?
Answers
Answer:
Linear inches
Step-by-step explanation:
or really, any linear dimension – simply refer to the sum total of your bag's length, width and depth.
Answer:
These are based on the main compartment inside the suitcase and are measured in liters with an average capacity of 20 liters, whilst most large cases have an average capacity of 100 liters.
Step-by-step explanation:Brainliest
can you please help me?
Answers
Answer:
102 dollars
Step-by-step explanation:
Hint: There are 3 feet in 1 yard.....Math 100pts
Answers
Answer:
$0.22/foot
Step-by-step explanation:
Setting up the equation:
⇒ 6 yards of aluminum wire costs $3.96
⇒ 6 yards = $3.96
Simplifying the equation in cost/foot:
⇒ 6 yards = 6(3) feet = 18 feet = $3.96 (1 yard = 3 feet)
⇒ 18 feet = $3.96
⇒ 1 foot = $3.96/18 = $0.22
Answer:
$0.22
Step-by-step explanation:
6 yards costs $3.96
Therefore, to find the cost of 1 yard, divide the cost of 6 yards by 6:
⇒ 1 yard = $3.96 ÷ 6
= $0.66
1 yard = 3 feet
Therefore, to find the cost of 1 foot, divide the cost of 1 yards by 3:
⇒ Price per foot = $0.66 ÷ 3
= $0.22
-4x+y=1
2y-2=8x
How many solutions does this have?
a. no solution
b. one solution
c. infinitely many solutions
Answers
Answer:
c. infinotely msny solutions
Answer:
Step-by-step explanation:
y = 4x + 1
2y - 2 = 8x
2(4x + 1) - 2 = 8x
2x + 2 - 2 = 8x
2x + 0 = 8x
6x = 0
x = 0
y = 0 + 1
y = 1
(0, 1)
answer is b. one solution
The function f(x) is defined below. What is the end behavior of f(x)?
f(x) = x^4– 47x² + x^3– 45x + 450
Answers
Answer:
Third option
Step-by-step explanation:
Since our leading coeffeicent has a leading even degree, and a positive number,
The end behavior will as
as x approaches oo, and -oo, f(x) approaches oo.
MATH MIDDLE SCHOOL ASAP due in 10 mins no explaining to do just answer thank you giving brainlist :)
Answers
Answer:
y-9=8
Step-by-step explanation:
1
* Write an expression that is equivalent to
1/2a - 4
Answers
Answer:
a - 8
Step-by-step explanation:
1/2 a - 4
if we scale both numbers by the same factor, we will be creating an equivalent expression.
So, let's say we multiply the equation by 2.
1/2 a (2) = 1 a = a
-4 (2) = -8
One equivalent expression would be
a - 8
[If you want to test this out, try plugging in any number for a. For example, if you plug in 10...
1/2 of 10 = 5, 5 - 4 = 1
1 times 10 = 10, 10 - 8 = 2
These answers are the same scaled as the original equation, the answer for the first expression is multiplied by 2 to get the second expression]
students were grouped into 4 classrooms with an average of 33.5 students per classroom. if the students were regrouped into 5 classrooms, what would be the average number of students in each room?
Answers
Answer:
26.8
Step-by-step explanation:
Because 33.5 was the average of how many students were in a classroom (if there were 4 classrooms), then 33.5 is can somewhat be the average of how many students were in one classroom; 1/4 of the classrooms can hold an average of 33.5.
Total students that were divided into 4 classrooms :
33.5 × 4 = 134
So if there is 134 students that will be grouped into 5 different classrooms, divide 134 by 5 to find the average amount of students that will be grouped.
134 ÷ 5 = 26.8
So, the average amount of students that will be grouped if they were divided into 5 classrooms would be 26.8 .
Hope this helped !
Find the surface area of the prism.
13 m
5 m
11 m
12 m
The surface area is
(Type a whole number or a decimal.)
Answers
wildflower mix contains several different types of seeds.
cornflower 40
primrose 3
black-eyed Susan 2
poppy 6
baby's breath 12
What is the probability that a randomly selected seed will be a poppy seed?
Answers
Then you would convert decimal fraction by multiplying it by 10.
1. a) Solve the following quadratic-quadratic system of equations graphically.
y– 3x² +12x = 16
y + 4x²– 16x = -12
b.) GRAPH
c.) verify your solution (s) algebraically.
Answers
Answer:
see explanation
Step-by-step explanation:
look at the photo
Two negative integers are 8 units apart on the number line and have a product of 308.
Which equation could be used to determine x, the smaller negative integer?
x2 + 8x – 308 = 0
x2 – 8x + 308 = 0
x2 + 8x + 308 = 0
x2 − 8x − 308 = 0
Answers
Answer:
X²-8x+308
Step-by-step explanation:
two negative integers -x and -x= +x²
8units apart=-8x
all equals 308
X²-8x=308
bring everything to the LHS
X²-8x-308=0
please help!!!!!!!11
Answers
Answer:
a = 6 , b = 5
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
then
[tex]\sqrt{180}[/tex]
= [tex]\sqrt{36(5)}[/tex]
= [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]
= 6[tex]\sqrt{5}[/tex]
with a = 6 and b = 5
b= 5
these are the answers hope they are correct
Ralph plotted the points (-4, 1) and (-4,-1) on a coordinate grid. What is the distance,
in units, between the points Ralph plotted?
a 1
B -2
C 2
D 0
Answers
A cupcake shop makes 25 dozen cupcakes in 2 days, how many cupcakes are made in 5 days at this rate
A 600
B 650
D 750
D 900
Answers
Answer:
D. 750
Step-by-step explanation:
if the shop makes 25 dozen in 2 days that means it makes 300 cupcakes in 2 days because 1 dozen is 12 cupcakes, so you will see that they make 50 dozen in 4 days which is 600 then you know she is only going to be making half of that 25 dozen on the 5th day so you just take half of 300 which is 150 and add it all up: 300+300+150=750