The answer might be c
In the diagram abc=adb=90, ad=p and dc=q. Use similar triangles to show that x2=pz
plzz anyoneee
Answer:
By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that [tex]x^{2} =pz[/tex]
Step-by-step explanation:
Given that ∠ABC=∠ADC, AD=p and DC=q.
Let us take compare Δ ABC and Δ ADB in the attached file , ∠A is common in both triangles
and given ∠ABC=∠ADB=90°
Hence using AA postulate, ΔABC ≈ ΔADB.
Now we will equate respective side ratios in both triangles.
[tex]\frac{AB}{AC}= \frac{AD}{AB}=\frac{BD}{BC}[/tex]
Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.
[tex]\frac{x}{z}= \frac{p}{x}[/tex]
Cross multiply
[tex]x^{2}=pz[/tex]
Hence proved.
jessica is ordering 3 bags of cat food from Canada. Each bag has a mass of 5 kg. To determine the shipping cots, Jessica needs to know the total weight in pounds
Answer:
33.0693 pounds
Step-by-step explanation:
Juan went up 25 feet during a climb on a rock climbing wall. What does 0 represent?
Answer: 25 feet during a climb
Step-by-step explanation:
im thinking of a number. if you add half of this number to a sixth of this number, you will get 12. what is the number?
Let's set the equation and the mysterious number to x:
x/2+2/6=12
Then, times both sides by 12:
6x+2x=144
8x=144
x=18
The number that you are thinking of is 18.
I need help with 2 and 3 please
Last summer Karl went to the beach every 5 days Antonia went to the beach every 7 days . How often did they see each other?
fred has two types of peanut butter,three types of jelly, and one type of bread. how many different peanut butter and jelly sandwich can he make?
Answer:
6
Step-by-step explanation:
fred has 2 peanut butter and 3 jelly
type 1 peanut butter can go with all three types of jelly = 3 pb&js where ther is one constant peanutbutter and 3 different jellys
type 2 peanut butter can go with all three jellies = 3 pb&js where there is one constant peanutbutter and 3 different jellies
3+3=6
there are 6 peanut butter and jelly sandwhiches he could make.
you can also just multiply the numbers (2x3=6)
Final answer:
Fred can make 6 different peanut butter and jelly sandwiches by multiplying the number of peanut butter types by the number of jelly types (2 types of peanut butter × 3 types of jelly). The type of bread does not affect the count as there's only one type.
Explanation:
To determine how many different peanut butter and jelly sandwiches Fred can make, we need to consider all possible combinations of peanut butter, jelly, and bread. Since Fred has two types of peanut butter, three types of jelly, and one type of bread, the number of different sandwich combinations can be calculated using the Counting Principle. This principle states that if there are n ways to do one thing, and m ways to do another, then there are n × m ways to do both.
In Fred's case, for every type of peanut butter, he can choose from three different types of jelly. So, for two types of peanut butter, we have:
2 types of peanut butter × 3 types of jelly = 6 combinations
Since there's only one type of bread, it doesn't change the number of combinations.
Therefore, Fred can make 6 different peanut butter and jelly sandwiches.
which best describes the range of numbers that satisfy the inequality x> 12.4
Let the domain be
i. The set of all natural numbers
ii. The set of all real numbers
i. The set of all natural numbers
Note that the smallest natural number that satisfies this inequality is 13 and there is no biggest natural number which satisfies the inequality.
Hence, the range is {13, 14, 15, ...}
ii. The set of all real numbers
Clearly, the set of all real numbers that satisfies this inequality is the open interval (12.4, ∞).
Answer:
option B :)
Step-by-step explanation:
which of the following numbers is closest to the mean
Hello!
To find the closet number we first need to understand how our data, and how to find the mean.
The mean is known as the average, which we find when we add all of our data up and divide by the number of factors.
In this case, after reading our graph, our data set is equal to:
3,4,4,4,4,5,5,5,5,5,6,6,6,6,7,7,8,9,10,11
When all of these numbers are added we get = 120
120 divided by 20 (the total number of factors) is equal to 6!
Which means that the answer to this question is E. 6
Hope this helps.
Based on the calculations, a number which is closest to the mean of this distribution is equal to: E. 6.
What is a mean?
A mean is also known as arithmetic average and it's a ratio of the sum of the total number in a data set to the frequency of the data set.
How to calculate the mean?Mathematically, the mean for this data set would be calculated by using this formula:
Mean = [F(x)]/n
For the total number of data, we have:
F(x) = 3 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 7 + 8 + 9 + 10 + 11
F(x) = 120.
Substituting the parameters into the formula, we have:
Mean = [F(x)]/n
Mean = [120]/20
Mean = 6.
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The equation y-5=6(x+1) is written in point-slope form. What is the equation written in slope-intercept form?y = 6x + 11y = 6x – 1 y = 6x – 4y = 6x + 6
The slope-intercept form: y = mx + b
We have in point-intercept form: y - 5 = 6(x + 1)
Transform:
y - 5 = 6(x + 1) |use distributive property
y - 5 = (6)(x) + (6)(1)
y - 5 = 6x + 6 |add 5 to both sides
y = 6x + 11
The equation of required line in slope intercept form is y= 6x + 11 First option is correct
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c Where m is the slope of the line and c is the y intercept of the line. Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis. If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by m = [tex]tan\theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Here,
[tex]y - 5 = 6(x + 1)\\y - 5 = 6x + 6\\y = 6x + 6 + 5\\y = 6x +11[/tex]
y= 6x + 11 is the equation written in slope intercept form. First option is correct
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You can read 45 pages of your new book in 2 hours. How many pages can you read in 3 hours?
Which value(s) from the set {5,7,9,11,13} make the inequality w-4<8 true?
Rewrite the inequality as
[tex] w<12 [/tex]
by adding 4 to both sides.
So, you want to pick only the values that are strictly less than 12, i.e. all of the values except 13.
could someone help me figure out the scientific notation, thank you!
A culture of 1.75×10^18 bacteria is in petri dish A. A culture of 6.25×10^15 bacteria is in petri dish B.How many times greater is the number of bacteria in petri dish A than petri dish B?Enter your answer, in standard notation, in the box.
Dividing:- (1.75 * 10^18) / (6.25 * 10^15)
= (1.75 / 6.25) * (10^18 / 10^15)
= 0.28 * 10^3
= 280 Answer
Final answer:
The number of bacteria in petri dish A (1.75×1018) is 280 times greater than the number of bacteria in petri dish B (6.25×1015).
Explanation:
To find out how many times greater the number of bacteria in petri dish A is compared to petri dish B, we divide the number of bacteria in dish A by the number of bacteria in dish B.
Number of bacteria in dish A = 1.75×1018
Number of bacteria in dish B = 6.25×1015
Now, let's divide the two:
(1.75×1018) / (6.25×1015) = (1.75 / 6.25) × 10(18-15)
1.75 divided by 6.25 is 0.28, and 1018 divided by 1015 is 103.
Therefore, 0.28 × 103 = 280. The number of bacteria in petri dish A is 280 times greater than the number of bacteria in petri dish B.
Give one combination of two factors whose product is 0.24, if one of the factors is a whole number greater than 1.
Answer: There are a lot of answers to this product. Some of them include (in the format (w, x), where w is the whole number, and x is the factor you must multiply it by to get 0.24):
(2, 0.12), (3, 0.08), (4, 0.06), (6, 0.04), and so on.
Step-by-step explanation: Well, you could just assign the smallest who number greater than 1 to one of the factors, which is 2. Now you just have to multiply that by another factor to get 0.24. To do this, you could set up an equation like this:
2*x=0.24
Next, you would divide both sides by 2 to cancel out the 2 on the left side of the equation, leaving you with:
x=0.12
There you have it!
Now you can check your work by multiplying 2 and 0.12, and you will get 0.24!
You can do the same thing with other whole numbers, such as 3 and 4, and complete the same process to find the decimal factor that multiplies to 0.24.
how many grams are in 8 kilograms?
the answer is 8000 grams
Answer:
8000 g
Step-by-step explanation:
Start with the conversion:
1 kg = 1000 g
Now multiply both sides by 8.
8 kg = 8000 g
alani wants to buy a $360 bicycle. she is considering two payment options the image shows option A which consists of making an initial down payment then smaller, equal sized weekly payments. option b consists of making 6 equal payments over 6 weeks
for A)
if she has $ for the downpayment of $70
for B)
360-70+290
290/ 5=58
amount paid = 290-58(#month)
a=290-58m
ANSWER
A= -58m+290
A) The factors that Alani should consider before deciding on the option to choose are:
Availability of cash for the initial down paymentInterest rate for each optionTotal cost of each option.B) The amount that Alani would have to pay for the weekly payments is $58.
An equation to model the amount paid for Option A after m months is A = 360 - 70 + mx.
How the equation is derived:Option A:
Total cost = $360
Initial down payment = $70
Number of weekly payments = 5
Weekly payment = $58 (360 - 70)/5
Option B:
Total cost = $360
Weekly payment = $60 ($360/6)
Equation:
Let the weekly payment = x
Let the number of monthly payments = m
Total amount paid after m months (A) = 360 - 70 + mx
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Complete Question:Alani wants to buy a $360 bicycle. She is considering two payment options.
Option A consists of making an initial down payment of $70 and then 5 smaller, equal-sized weekly payments until she has paid a total of $360.
Option B consists of making 6 equal payments over 6 weeks in order to pay a total of $360.
A) What factors should Alani take into consideration before deciding which option to choose?
B) How much would Alani have to pay for each weekly payment with option A? Write an equation to model the amount paid for Option A after m months
simplify square root of 550
22.360679775 or rounded up to 22.4
Answer:
5 √ 22
Step-by-step explanation:
Compare 2× (66+82) and 66+82 over 2
Zachary brought 7 dozen rolls of toilet paper for the office. The rolls were divided equally into 4 boxes. How many rolls are in each box?
the steps to conver 23/4 to a decimal are shown below, which step is the error
The first error is in Step 3 because 4 * 7 = 28, not 26.
The steps to convert 23/4 to a decimal are mentioned, but the error is not specified.
Explanation:The steps to convert 23/4 to a decimal are:
Divide the numerator (23) by the denominator (4).The quotient is 5 with a remainder of 3.Add a decimal point after the quotient (5.)Multiply the remainder (3) by 10.Place the new quotient (7) after the decimal point.Repeat steps 4 and 5 until the remainder is 0.The final decimal is 5.75.The error in the given steps is not mentioned, so it's not clear which step is incorrect. However, if any step is incorrect, it would result in an incorrect decimal conversion.
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liam is a tyre fitter. it takes him 56 minutes to fit 4 tyres to a van.
a) how long would it take him to fit 12 tyres to 3 vans?
b) if he works for 42 minutes, how many tyres can he fit?
I would first solve how long it takes for 1 tyres to make life easier. Just solve 56 divided by 4, which means that Liam takes 14 minutes to put one tyres into the van. For part a, I don't quite understand the 3 vans part, but you know he 's putting 12 tyres into a van, so multiply 12 by 14 to get 156. Part B gives you time instead of tyres. Solve it practically the same... 42 divided 14 is 3, so he fits 3 tyres in 42 minutes,
Answer:
Part a) [tex]168\ minutes[/tex] or [tex]2\ hours\ 48\ minutes[/tex]
Part b) [tex]3\ tyres[/tex]
Step-by-step explanation:
Part a) Using a proportion
[tex]\frac{56}{4}\frac{minutes}{tyres}=\frac{x}{12}\frac{minutes}{tyres} \\ \\x=12*56/4\\ \\x=168\ minutes[/tex]
[tex]168\ minutes=2.8\ hours=2\ hours\ 48\ minutes[/tex]
Part b) Using a proportion
[tex]\frac{56}{4}\frac{minutes}{tyres}=\frac{42}{x}\frac{minutes}{tyres}\\ \\x=4*42/56\\ \\x=3\ tyres[/tex]
how to round 768 to the nearest hundred.
well, 768 rounds up because it is close to 800 than 700. so the answer is 800 :)
It would be 800, because to get to 800 you would need to add 32,while you would have to subtract 68 to get to 700. Therefor the answer is 800
425 divided by 4 in long division.
the answer is 16 1/4
Hi! I'm Jenny, and I'm a mathematician! I am ecstatic to help you with this problem! :)
425 ÷ 4 in long division:
1 0 6
4 4 2 5
− 4
0 2
− 0
2 5
− 2 4
1
Message from ExperimentsDIYS:
Our team aims to please and if you have any question regarding your topic, we are here to help! We know that your education is very important. <3
The system of equations below represents the measures of 2 angles created by the diagonal of a rectangle: x + y = 90 y =1/5 What is the measure of the greater angle? ° What is the measure of the smaller angle? °
Answer:
The larger of the two angles is x, which is 75. y is the smaller angle at 15.
Step-by-step explanation:
In order to find these, we can use our solved value for y in the second equation to plug into the first equation. This method is called substitution.
x + y = 90
x + (1/5x) = 90
1.2x = 90
x = 75
Now we can plug that value into either equation to find y
y = 1/5x
y = 1/5(75)
y = 15
Answer:
1.) 75
2.) 15
Step-by-step explanation:
edge 2020 Dec 8
A bike rental shop charges $8 to rent a bicycle (per person), plus $1.75 for every half hour you ride (per person). If the shop charges you and your friend a total of $26.50, how many hours did each of you ride?
So the initial renting fee for you and your friend is $16(8 bucks a piece). Each hour you and your friend will be paying $7 (that's 1.75 for each HALF hour for each of you).
nal answer:
After subtracting the initial rental cost for two bicycles, the remaining amount spent was divided by the cost per half hour to find the total number of half hours ridden. Each person rode for 3 half hours, which equates to 1.5 hours each.
Explanation:
To calculate how many hours each of you rode a rented bicycle at the bike rental shop, let's break down the charges. The shop charges $8 per person to rent a bicycle and $1.75 for every half hour of ride time. Since there were two of you, the initial cost would be 2 × $8 = $16. The total amount spent was $26.50, so subtracting the initial rental cost, we have $26.50 - $16 = $10.50 left for the actual riding time.
The cost of riding time per person is $1.75 per half hour. So, we divide the remaining amount $10.50 by $1.75 to find the total number of half hours both of you rode combined: $10.50 / $1.75 = 6 half hours. Since this is the combined time for both you and your friend, each of you rode for 3 half hours, or 1.5 hours in total.
Kegan wants to buy a new skateboard that will cost $140 so far Keegan has saved $30 toward the purchase of the skateboard to raise the remaining money needed Keegan mothers his neighbors lawn and charges $10 each time he completes the job writing equation to find X the number of times Keegan needs to mow his neighbors lawn to earn enough money how many times of Keegan need to mow his neighbors lawn to have enough money to buy the skateboards
Answer:
Step-by-step explanation:
140-30=110
He charges 10$ every time he mowed someones lawn
So 110/10=11
He would have to mow his neighbors lawn 11 times.
Answer:
Keegan need to mow 11 times to his neighbors lawn to have enough money to buy the skateboards.
Step-by-step explanation:
Consider the provided information.
It is given that Keegan need $140 and Keegan saved $30. Keegan also charges $10 each time he completes the job writing.
Let x the number of times Keegan needs to mow his neighbors lawn to earn enough money.
Thus the required equation is;
[tex]140=30+10x[/tex]
Now solve the equation as shown below:
[tex]140-30=10x[/tex]
[tex]110=10x[/tex]
[tex]\frac{110}{10}=x[/tex]
[tex]x=11[/tex]
Hence, Keegan need to mow 11 times to his neighbors lawn to have enough money to buy the skateboards.
during one season a total of 453,193 people attended a baseball game teams games what is the value of the digit 5 in the number of people
50,000 or Ten thousands
the value of the digit 5 is 50,000. Think of it as the numbers behind 5 as zeros and you will have the answer.
Simplify (x − 4)(x2 + 3x + 5).
a) x3 + 7x2 + 17x − 20
b) x3 + 7x2 − 7x − 20
c) x3 − x2 + 17x − 20
d) x3 − x2 − 7x − 20
The answer will be D
10(5 - n) - 1 = 29
n = ?
Help!
n = 2
distribute and simplify left side of equation
50 - 10n - 1 = 29
49 - 10n = 29 ( subtract 49 from both sides )
- 10n = 29 - 49 = - 20
n = [tex]\frac{-20}{-10}[/tex] = 2
To get rid of the parantheses we must multiply 10 by anything inside the parantheses.
10(5-n)-1=29
50-10n-1=29
Combine like terms
50-10n-1=29
49-10n=29
Subtract 49 from both sides
49-10n=29
-10n=-20
Divide both sides by -10
-10n/-10=-20/-10
n=2
Our final answer is 2
Hope this helps!