Answer:
see explanation
Step-by-step explanation:
If ∠ D ≡ ∠ CED then CD ≡ CE
The base angles theorem states that if the sides of a triangle are congruent, that is isosceles triangle the the angles opposite these sides, the base angles, are equal.
Here we are using the converse of base angle theorem (b)
That is if 2 angles are congruent ( base angles ) then the sides opposite these angles are congruent.
Answer:
Angle D = Angle CED, then CD=CE.b) Converse of Base Angle TheoremStep-by-step explanation:
The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent.
Which example does NOT show the commutative property of addition?
a. 4 + x = x + 4
b. ab=ba
c. a + b = b + a
d. 3x + 4y = 4y +3x
Choose the correct answer:
PLS HELP ASAP 30 points plsss
Answer:
[tex]\frac{x-4}{5x}[/tex]
Step-by-step explanation:
The equation;
[tex]\frac{x^{2} - 8x + 16}{5x}[/tex] ÷ x - 4
Factor;
[tex]\frac{(x-4)^{2}}{5x}[/tex] ÷ ( x - 4 )
Rewrite in fraction form, so that one can perform division
[tex]\frac{(x-4)^2}{5x} * \frac{1}{x-4}[/tex]
Simplify, cancel out like terms on opposite sides of the fraction bar
[tex]\frac{x-4}{5x}[/tex]
If a song is 4 minutes and 2 seconds long and I play it 115 times how long is that in hours?
Explain Please
The song: Drivers License
Songwriter/ singer: Olivia Rodrigo
Answer:
12 hours and 50 minutes
Step-by-step explanation:
You take the 4:02 and divide it by 60 (60 seconds are in a minute) and then you take the answer you got and multiply by 115 and you get 11.80 so you take the 80 and round it to 12 and then you have 50 left over so its 12 hrs and 50 mins
Answer:
7 hours, 40 min
Step-by-step explanation:
4 minutes is 1/15 of an hour
115 x 1/15 = 7 2/3
Arthur has a box which contains 6 black balls and n (n ≥ 2) white balls, then at random, he takes 3 balls from the box. If the probability of taking any ball is the same and Pₙ is the probability of taking 1 black ball and 2 white balls, what is the largest possible value for Pₙ?
Answer:
11/68 or 0.1618Step-by-step explanation:
Balls
Black - 6White - nOptions of getting 3 balls
1. White, black, black2. Black, white, black3. Black, black, whiteProbability P(n) in each option
1. WBB
P(w) = 6/(n + 6)P(b1) = n/(n + 6 - 1) = n/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 1)P(n) =
P(w)P(b1)(P(b2) = 6/(n+6) × n/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)2. BWB
P(b1) = n/(n + 6)P(w) = 6/(n + 6 - 1) = 6/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 4)P(n) =
P(b1)P(w)(P(b2) = n/(n+6) × 6/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)3. BBW
P(b1) = n/(n + 6)P(b2) = (n - 1)/(n + 6 - 1) = (n - 1)/(n + 5)P(w) = 6/(n + 5 - 1) = 6/(n + 4)P(n) =
P(b1)P(b2)(P(w) = n/(n+6) × (n - 1)/(n + 5) × 6/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)Final equation is same for each case:
P(n) = 6n(n - 1) / (n + 6)(n + 5)(n + 4)The easy way to find the maximum is to try the numbers or graph.
Both of the methods give the maximum integer n = 11 or n = 12
See attached graph
At both values n we get P(n):
P(11) = 6*11*10 / 15*16*17 = 11/68 = 0.1618 (rounded)P(12) = 6*12*11 / 16*17*18 = 11/68 = 0.1618 (rounded)A production company spent 45
1
2 days filming its first movie. The company's second movie was filmed in 7
3
4 weeks. Find the ratio of the first movie's filming time to the second movie's filming time. Compare in weeks.
Answer:
26 /33
Step-by-step explanation:
Given that :
Number of days taken filming first movie = 45 1/2
Number of weeks spent filming second movie = 8 1/4
Concerning days to weeks ;
45 1/2 days = 91/2 days = 91/2 ÷ 7 ;
91 / 2* 1/7 = 91/14 = 6. 5 weeks
Hence,
Ratio of first week fuming to second week filming ;
6.5 weeks : 8 1/4 weeks
6 1/2 : 8 1/4
13 / 2 : 33 /4
13 / 2 * 4 /33
52 / 66
26 / 33
In our amusement park that we built this week, the ride Diablo’s Domain had revenue of $250,000,000 in its first year as expected. The company paid $750,000 for insurance or $3 for every $1,000 in revenue. If the park is wildly successful and revenue increases by 25% in the second year and the rate of $3 for every $1,000 holds true, how much would it pay for insurance? Do you think it’s reasonable for insurance costs to increase proportionally? Why or why not?
Answer:
The amount to be paid for insurance will be $ 937,500. In this context, it is reasonable that insurance costs increase proportionally, as the ride will have a greater use and, therefore, a greater exposure to risk.
Step-by-step explanation:
Given that the amusement park Diablo's Domain ride generated $ 250,000,000 in revenue, and the company paid $ 750,000 in insurance for that game ($ 3 for every $ 1,000 in profit), to determine the amount of insurance that should be paid if the winnings increase by 25% and the same proportion of 3/1000 to be paid is maintained, the following calculation must be made:
(250,000,000 x 1.25) x (3/1000) = X
312,500,000 x 0.003 = X
937,500 = X
Therefore, the amount to be paid for insurance will be $ 937,500.
jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters. what is the length of jasons tool shed?
Answer:
12 meters
Step-by-step explanation:
Area = length × width. If we divided 96 (area) by 8 (width) we should get the length. 98 ÷ 8 = 12.
Your friend has created a dice game where the probability of winning is 0.45. If you win at least 60% in a series of n games you win the grand prize. You may choose to play a series of n = 10, 20, or 50 games. Which value of n should you choose to get the best chances of winning the grand prize?
A. n = 10
B. n = 20
C. n = 50
D. n = 10 or 20; they have the same probability
E. All three have the same probability.
Answer:
D. n = 10 or 20 they have the same probability
A ball rolls 12 meters in 3 seconds. What is its speed?
Step-by-step explanation:
speed = distance/time
= 12/3 m/s
= 4 m/s
4
V = s/t
= 12/3
=4
S = move
T = time
V = speed
35 points! Will mark Brainliest! Real answers only!
Answer:
Ty for the free poiunts!
Step-by-step explanation:
You got the answer right LLO
Answer:
Yea the answer is right
Step-by-step explanation:
5) If f(x) = 3x + 4, for which value of x does f(x) = 22
Answer:
6
Step-by-step explanation:
22 = 3x+4
subtract 4 from both sides
18 = 3x
divide both sides by 3
6 = x
Which of the following is NOT equal to sin pi/3
A) sin 2pi/3
B) cos pi/6
C) cos 11pi/6
D) sin 4pi/3
Answer:
D) [tex]sin(\frac{4\pi }{3} ) = sin(\pi +\frac{\pi }{3} ) = -sin\frac{\pi }{3}[/tex]
Step-by-step explanation:
A)
[tex]sin(\frac{2\pi }{3} ) = sin ( \pi - \frac{\pi }{3} ) = sin\frac{\pi }{3}[/tex]
B)
[tex]cos (\frac{\pi }{6} ) = cos ( \frac{\pi }{2} - \frac{\pi }{3} ) = sin(\frac{\pi }{3})[/tex]
C)
[tex]cos (\frac{11\pi }{6} ) = cos ( \frac{3\pi }{2} + \frac{\pi }{3} ) = sin(\frac{\pi }{3})[/tex]
D)
[tex]sin(\frac{4\pi }{3} ) = sin(\pi +\frac{\pi }{3} ) = -sin\frac{\pi }{3}[/tex]
solve for c
c+d=15
3c+2d=36
WILL MARK BRAINLIEST AND MANY POINTS PLS ANSWER
Simplify the expression by combining like terms 2w+4w+8w? whats the answer
Explanation: In this expression, +2w, +4w, and +8w are called terms and the numbers in front of the variables, +2, +4, and +8 are called coefficients.
Because the variables are identical,
the three terms in this problem are called like terms.
They can be added together by adding their coefficients.
Since 2 + 4 + 8 is 14, 2w + 4w + 8w is 14w.
Add 3 5/12+2 5/9. Simplify the answer and write as a mixed number.
Answer:
5 35/36
Step-by-step explanation:
add the whole number: 3+2= 5
add the fractions: 5/12 = 5/9= 35/36
add the whole number and fraction
5 35/36 so x= 5 35/36
Which of these is an example of the Commutative property of addition? And Explain why? 3+5=4+4 or 3+5=5+3
Answer:
3+5=5+3
Step-by-step explanation:
a+b=b+a
comunitive property
Answer:
3+5 = 5+3
Step-by-step explanation:
Communative Property states that the numbers on which we operate (the numbers you use to do addition and multiplication) can be moved or swapped from their position without making any difference to the answer. In your awnser it dosen't matter if you were to swich around the 5 and 3. You would still get the same awnser.
Grinnell Glacier in Glacier National Park in the US covered about 142 acres in 2007 and was shrinking at a rate of about 4.4% per year.3 (a) Write a formula for the size, , of the Grinnell Glacier, in acres, as a function of years since 2007. (b) Use the model to predict the size of the glacier in the year 2020. (c) According to the model, how many acres of ice were lost from the glacier between 2007 and 2010
Answer:
Step-by-step explanation:
Glacier National park has the area in year 2007 = 142 acres
It's shrinking at a rate = 4.4% per year
a). Since, shrink in the size of the glacier is an exponential process,
Therefore, formula for the size of the glacier in 'n' years,
A = 142(1 - 0.044)ⁿ
A = 142(0.956)ⁿ
b). Difference between year 2007 and 2020 = 13 years
By substituting n = 13 years in the formula,
A = 142(0.956)¹³
= 79.11 acres
Therefore, size of the glacier in year 2020 = 79.11 acres
c). Difference between year 2007 and 2010 = 3 years
By substituting n = 3 years in the formula,
A = 142(0.956)³
A = 124.07 acres
Loss of the ice from the glacier = 142 - 124.07
= 17.93 acres
Therefore, loss of the ice from the glacier in 3 years = 17.93 acres
Solve the system of equations 4x – 9y = 5 and 8x - y = -7 by combining the
equations.
Answer:
x=2 and y=0.
Step-by-step explanation:
Answer:
[tex]x=-1,\\y=-1[/tex]
Step-by-step explanation:
We can write the following system of equations as given:
[tex]\begin{cases}4x-9y=5\\8x-y=-7\\\end{cases}[/tex].
Multiply the first equation by [tex]-2[/tex] then add both equations to solve for [tex]y[/tex]:
[tex]\begin{cases}-8x+18y=-10\\8x-y=-7\\\end{cases},\\17y=-17,\\y=\fbox{$-1$}[/tex].
Now plug in [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:
[tex]8x-(-1)=-7,\\8x+1=-7,\\8x=-8,\\x=\fbox{$-1$}[/tex].
Verify that the solution pair [tex](-1,-1)[/tex] works [tex]\checkmark[/tex]
The sum of the enterior angles of any triangle is equal to:
Answer:
is equal to 180°
I hope it's helps you
5) What is the product of prime numbers immediately before and after 50?
Hey there!
The answer to your question is 2491
The two prime numbers immediately before and after 50 are 47 and 53, so 47 x 53 = 2491.
Hope this helps and have a great day!
Solve the equation for x. −3=x3−6
A. x=−27
B. x=9
C. x=0
D. x=−6
Change each of the following decimals to a fraction. Reduce your answer to its lowest terms.
0.07
0.3
0.168
0.0012
0.14
josie buys a scoop of dried cranberries and a scoop of dried bananas to make trail mix. The dried cranberries weight 8.5 ounces and cost $0.30 per ounce. The dried bananas weigh 10.5 ounces and cost $0.20 per ounce. How much does josie spend on the dried food
Answer:yes
Step-by-step explanation:
WILL GIVE BRAINLY Which one of the following angles are supplementary to ZDOE in the figure given below?
Answer:
AOE
Step-by-step explanation:
A supplementary angle equals 180 which is also a straight line.
xavier made 22 more baskets than Jared this basketball season. Write an expression for the number of basket xavier made this season.
Answer:
J+22=X
Step-by-step explanation:
J represents Jared and since Xavier made 22 more baskets than Jared you add 22 onto Jared's amount of baskets to figure out how many Xavier made.
help ME PLS
WILL MARK BRAINLIEST
Answer:
62b+27nb-12n-12
Step-by-step explanation:
u gotta combine like terms
Answer:
-0.7 .................
Camille buys $50 worth of books at Target. She has a coupon for 20% off her entire purchase. What is the total cost of the books after the coupon is applied?
Answer:
$40
Step-by-step explanation:
If something is 20% off divide the number by 5 then take that number and minus it from the original number
For example
50 ÷ 5 =10
50 - 10 = 40
I hope this helps!
find the range of the function
Answer:
a
Step-by-step explanation:
What would the function be for the following statement:
"y is 3 more than half of x"?
Answer:
0
Step-by-step explanation:
What is always true about the net of a prism? O It contains 0 triangles. o It contains O or 2 triangles. olt contains 3 or more triangles. O It contains 4 or more triangles. HURRY ITS A TEST
Answer:
It contains 0 or 2 triangles.
Step-by-step explanation:
Answer:
its b
Step-by-step explanation: