Due MN, NO and MO are midsegments, the four triangles in the picture are congruents, so:
And also, we know that the triangle MNO is similar to JKL, and the sides of JKL are the double of the respective sides of MNO, so we can found the value of x with the following equation:
\(\begin{gathered} KL=2\cdot MO \\ 13x-10=2\cdot(6x-1) \\ 13x-10=12x-2 \\ 13x-12x=10-2 \\ x=8 \end{gathered}\)And the Perimeter of KLJ is the double of the perimeter of MNO, so:
\(\begin{gathered} \text{Per}_{\text{KLJ}}=2\cdot\text{Per}_{\text{MNO}} \\ \text{Per}_{\text{KLJ}}=2\cdot(49+42+(6\cdot8-1),\text{ Note we replace x=8} \\ \text{Per}_{\text{KLJ}}=2\cdot(91+48-1_{}) \\ \text{Per}_{\text{KLJ}}=276 \end{gathered}\)The perimeter of triangle KLJ is 276.
Paint the Walls
The height of the bedroom is 9 feet. There are 4 rectangular windows in the room that are
each 30 inches wide and 36 inches high. You will not paint the windows, the floor, or the
ceiling. You will paint the rest of the room, including the door. Your client likes two colors,
Light-at-Dawn and Cloudy Sunrise. Both colors are only available in 1-gallon cans. Light-at-
Dawn: The regular price of a 1-gallon can is $24, but it is on sale for 25% off the regular price.
This type of paint requires 2 coats. Cloudy Sunrise: The price of a 1-gallon can is $28. This type
of paint only requires 1 coat. Each gallon of paint will cover an area of about 350 square feet.
Your client has stated that if the cost for using Cloudy Sunrise is no more than 5% greater
than the cost for using Light-at-Dawn, then you should use Cloudy Sunrise. Which paint color
should you use? Explain or show your reasoning. You may use diagrams, drawings, or
equations as well as words.
The paint should be used is Cloudy Sunrise.
What is Percent?As a fraction of 100, a percentage is a number or ratio. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, while the percent symbol, "%," is most frequently employed. A % has no dimensions and no associated unit of measurement.
Light-at-Dawn: A 1-gallon can normally costs $24, however it is now on sale for 25% less than that amount. This kind of paint needs two coats.
Cloudy Sunrise: A gallon-sized can costs $28. Only one coat of this kind of paint is necessary.
350 square feet will be covered by each gallon at a time.
The price of 1 gallon of light at dawn is 24 - 25/100 * 24 = 18.
1 gallon of clouded sunrise color costs 28 dollars.
It appears overcast. Prior to accounting for the number of square feet that each hue may cover, sunrise color is more expensive.
350 square feet are claimed to be covered by both cans.
if everything else remains the same,.
Dawn color lighting would cost:
18 / 350, or.0514285714, per square foot.
However, the light at dawn color needs two coats.
The total cost per square foot for the light at dawn color would be
2 * 0.0514285714 = 0.1028571429.
The price of a cloudy sunrise is 28/350 = 0.08 per square foot.
This represents the total cost per square foot for cloudy sunrise color since it only needs one coat.
It looks that the total cost of cloudy sunrise color is less expensive than the total cost of light at dawn color, assuming that the second coat of paint uses the same amount of paint as the first coat.
Hence, The paint should be used is Cloudy Sunrise
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Is the data set approximately periodic?
If so, what are its period and amplitude?
Hour
Number of cars
1 2 3
4
5
6
7 8 9 10 11 12
52 76 90 75 91 104 89 105 119 103 121 135
The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.
How to explain the valueThe period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.
Hour | Number of cars
------- | --------
1 | 90
2 | 52
3 | 76
4 | 75
5 | 91
6 | 104
7 | 89
8 | 105
9 | 119
10 | 103
11 | 121
12 | 135
As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.
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From the graph of the function, determine the domain and the range.
Answer:
\(\text{Domain: }[-2,0)\cup (0, 5],\\\text{Range: }(-2, 0]\cup [2, 4]\)
Step-by-step explanation:
The domain denotes the range of x-values of the function, usually read from left to right. The range denotes the range of y-values of the function, usually read from bottom to top. Parenthesis denote exclusive while square brackets denote inclusive.
Find the equation of the line that passes through the point (6,-2) and is parallel to the line 5x+3y
Answer: y=(-5/3)x+8
Step-by-step explanation: earrange 5x+3y=6 in slope intercept form
y=mx=b
5x+3y=6
3y=6-5x
y=2-(5x)/3
then slope for a line parallel is -5/3
Use point slope form y-y1=m(x-x1)
plug un values of (x,y) = (6,-2)
and m=-5/3
y-y1=m(x-x1)
y-(-2)=(-5/3)(x-6)
y+2=(-5/3)x+10
y=(-5/3)x+10-2
y=(-5/3)x+8 <-- solution
(12²-15+17)+16= what is the answer
162
Step-by-step explanation:
(12 square - 15 + 17) + 16
=(144 - 15 + 17) + 16
=146 + 16
=162
PLS ANSWER MY QUESTION QUICKLY
Answer:
B
Step-by-step explanation:
urheheyfthxhzhditoiytdyifxzydzyfuyrzuysriduyrsute
Brooke and her friends buy a jumbo bag of Millicent's Mini Donuts at the fair. They sit at a
picnic table to share them. Brooke evenly distributes the donuts onto 13 napkins, one for
each person in the group. Each napkin has 4 donuts.
Which equation can you use to find the number of donuts d in the bag?
d + 13 = 4
d
= 4
13
13d = 4
d - 13 = 4
Answer:
d+13=4 is wrong it would be divede because it says put one in each napkin so it is being divided
Step-by-step explanation: 13/d
Dan bought 20 bunches of seedless green grapes for $48. How many bunches can Kali buy if she has $12?
5
29
4
6
Answer:
48/20=2.4
12/2.4=5
Step-by-step explanation:
Kai can buy 5 bunches of grapes if she has $12.
Answer:
It's 29.
Step-by-step explanation:
48/20=2.4
12x2.4=28.8
Round up to 29.
what is f(x)= f(x-1)+8 with f(1)=5 as an explicit equation please
Answer:
yes
Step-by-step explanation:
well in order to know the way you must know the way
What is the equation in point slope form of the line that is perpendicular to the given line and passes through the point(2,5)?
Answer:
Step-by-step explanation:
To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:
Find the slope of the provided line.
The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.
Substituting the values, the equation of the perpendicular line becomes:
y - 5 = (-1/m)(x - 2)
Simplifying the equation further, we can rewrite it in point-slope form:
y - 5 = (-1/m)x + (2/m)
4x-5 2x+7 Find the value of x
answers should be from
27
37
47
57
What is 5x times (3x2 - 5)?
3x2 + 5x -5
A
B 15x2-5
с
15x3 - 5
15x3 - 25x
Answer:
15x3-25x
Step-by-step explanation:
5x(3x2 -5)
step1: distribute 5x to both sides
Step 2: 3x2 would change into 15x3 (because you're multiplying by 5x)
Step3: -5 would turn into -25x (because you are multiplying by 5x also)
Step4: put both answers together and your end product would be (15x3 - 25x)
Answer:
15x3-25x
Step-by-step explanation:
A 32-ounce tub of yogurt contains 5 servings. How many ounces of yogurt are in 1
serving?
Answer:
32/5 ounces or approximately 6.4 ounces.
Step-by-step explanation:
We are trying to find the unit rate, so divide 32 by 5 to see how many ounces in just 1 serving.
Answer:
6.4 Ounces in 1 serving
Step-by-step explanation:
Here to find how many ounces of yogurt there are in 1 serving:
we create an expression:
\(\frac{x}{1} = \frac{32}{5}\)
Then we simplify:
5x = 32
x= 32/5
x=6.4 Ounces
Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
700 million times 400=
Answer:
280,000,000,000
Step-by-step explanation:
Yesterday, the price of a can of beans at five supermarkets was $1.92, $2.01,
$1.89, $2.22, and $2.16, respectively, but today each supermarket raised its
price by $0.10. What is today's mean price of a can of beans at the five
supermarkets?
A. $2.24
B. $2.14
C. $2.04
D. $2.34
SUBMIT
Answer:
B. $2.14
Step-by-step explanation:
Given that
The price of the five supermarkets would be $1.92, $2.01,
$1.89, $2.22, and $2.16
And, each supermarket would be increased by $0.10
So, the today mean price would be
= ($1.92 + $2.01 + $1.89 + $2.22 + $2.16 + $0.10 × 5) ÷ (5)
= $10.7 ÷ 5
= $2.14
Therefore the second option is correct
Jamie receives 20 emails total on Monday morning she responds to eight of the emails what is the ratio emails that Jamie received to the mail that she answered
Answer:
5:2
Step-by-step explanation:
A ratio is basically a fraction but horizontally for eg. this: 5:8! This question is asking us to find the ratio of the emails that Jamie received to the emails that she answered.
According to the question, Jamie got 20 emails and responds to 8 of them. The ratio would look like this: 20:8 (because a ratio is just a fraction but horizontal, doesn't mean that there will be mixed numbers!) but not this 8:20. Ratios have a specific order that they have to be in and that will vary depending on the question. If the question says to find the ratio of emails that Jamie responded to to the emails that she received, then in this case 8:20 would be correct.
For now, the answer is 20:8. However, we still need to simplify it by finding its lowest common factor (unless the question asks you to not simplify it, it's better to simplify the answer like a fraction). The lowest common factor would be 4 for 20 and 8. 4 goes in 20 5 times sand 4 goes into 8 2 times.
Your final answer should be: 5:2
If you have any further questions please ask!
If two distinct lines intersect, which MUST be true?
Answer:
Answer options
A) the lines are parallel
B) the lines are perpendicular
C) the lines form angles at the intersection
D) the lines form right angles at the intersection
the answer is C
Step-by-step explanation:
I got it right on my test
PLEASE HELP ME SOLVE THIS ANSWER
The function of C(d) in the given inverse function is determined as C(d) = (d - 3)/10
option A.
What is the inverse of the function?The inverse of the given function is calculated by applying the principle of inverse of functions as follows;
let C(d) = 10d + 3
The inverse of the function is calculated as follows;
C = 10d + 3
make d the subject of the formula;
10d = C - 3
d = (C - 3)/10
Now replace, C with d;
C = (d - 3)/10
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Learn with an example
or Watch a video
Savannah is the costume manager for a large theater company. She has 10 different hats,
including 2 sailor's caps.
Submit
What is the probability that a randomly chosen hat from Savannah's inventory will be a
sailor's cap?
Write your answer as a fraction or whole number.
P(sailor's cap) =
Answer:2/10
Step-by-step explanation:there are 2 sailor hats out of 10 hats meaning every 10 hats you pull you will get 2 sailor hats so this makes 2/10 correct
There are 27 tokens in a bag. There are 7 red tokens, 3 green tokens, and the rest are blue. Raul takes one token out of the bag without looking. What is the probability Raul pulled out a blue or green token? A B с D 3 27 14 27 17 27 20 27
Answer:
20/27
Step-by-step explanation:
What is probaility?Probability is simply the likelihood of a specific event occurring.
Usually, we define probability as equaling the number of favorable outcomes over the total number of possible outcomes.
Finding the probabilityHere, we are given that there are 27 tokens in a bag.
The number of tokens with there corresponding color is seen as following
7 red tokens3 green tokens17 blue tokens (the rest are blue , so blue tokens = 27 - (7 + 3) = 17)Given this, we want to find the probability of picking a blue or green token without looking.
So here, the favorable outcome (the outcome we are looking for) is the number of blue tokens while the number of possible outcomes is simply the total number of tokens.
So the number of blue and green tokens = 17 + 3 = 20
And total number of tokens = 27
Therefore, probability of picking a blue or green token is 20/27
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a) What is the area of the top face of this
cuboid?
b) What is the area of the bottom face of
this cuboid?
4 cm
9 cm
7 cm
The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).
To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).
Given dimensions:
Length (L) = 9 cm
Width (W) = 7 cm
Height (H) = 4 cm
a) Area of the top face of the cuboid:
The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).
Area = Length × Width
Area = 9 cm × 7 cm
Area = 63 square centimeters (cm²)
b) Area of the bottom face of the cuboid:
The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).
Area = Length × Width
Area = 9 cm × 7 cm
Area = 63 square centimeters (cm²)
Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).
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You flip a coin 100 times and record that 48 are heads and 52 are tails. What is the relative frequency or experimental probability of landing on heads?
whats the percentage
As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.
What is probability?Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.
The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:
Number of Heads / Total Number of Flips = Experimental Probability of Heads
The number of heads in this case is 48, and the total number of flips is 100. Therefore,
Heads Experimental Probability = 48 / 100 = 0.48
We can multiply this by 100 to get a percentage:
Heads Experimental Probability = 0.48 * 100 = 48%
As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.
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In the image below, the inscribed angles of T and S intercept the same arc.
If arc YZ has a measure of 70 degrees, what is the sum of measures of the inscribed angles at T and S?
The measure of each inscribed angle at T and S is 72.5 degrees, and the sum of their measures is: 145 degrees
What is inscribed angle ?
An inscribed angle is an angle formed by two chords of a circle that have a common endpoint on the circle. The vertex of the inscribed angle is on the circle, and the sides of the angle intersect the circle at two distinct points.
There are some important properties of inscribed angles:
The measure of an inscribed angle is half the measure of the arc it intercepts. This is called the inscribed angle theorem.Two inscribed angles that intercept the same arc are equal in measure.If one side of an inscribed angle is a diameter of the circle, then the angle is a right angle.According to the question:
If the inscribed angles of T and S intercept the same arc, then they must be equal in measure. Let's call the measure of each angle x.
Since the sum of the measures of the angles in a triangle is 180 degrees, we can set up an equation to find the measure of the third angle in triangle TSY:
x + x + measure of angle YTS = 180 degrees
Simplifying the equation, we get:
2x + measure of angle YTS = 180 degrees
But we know that the measure of angle YTS is equal to half the measure of arc YZ, since it is an inscribed angle intercepting the same arc. So:
measure of angle YTS = 1/2 * measure of arc YZ = 1/2 * 70 degrees = 35 degrees
Substituting this value into our equation, we get:
2x + 35 degrees = 180 degrees
Solving for x, we get:
2x = 145 degrees
x = 72.5 degrees
Therefore, the measure of each inscribed angle at T and S is 72.5 degrees, and the sum of their measures is:
72.5 degrees + 72.5 degrees = 145 degrees
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A recipe for limeade calls for 10 limes, 0.25 cups of sugar, 1 quart of water, and 1 sprig of mint, and yields eight 4-fluid-ounces servings. How many limes would you need to make fifteen 0.75 cups servings of limeade.
0.9375 limes are required to make 0.75 cups servings of limeade.
Unitary method is a concept in which the value of a single unit is first found out and then multiplied by the necessary value to get the required answer.
Here, we are given that a recipe for limeade calls for 10 limes and gives us eight cups of servings of limeade.
⇒ 10 limes make up 8 cups
Number of limes required for 1 cup of limeade = 10/8
= 1.25 limes
Thus, limes required for making 0.75 cups of limeade = 1.25 × 0.75
= 0.9375 limes
Thus, 0.9375 limes are required to make 0.75 cups servings of limeade.
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Put a point on the number line to show the location of the number given below.
Answer:
you get 3367/500 which is equal to 6.734 wherever that is on the line
Step-by-step explanation:
put it in a calculator man
1.3 X 2.1 = Explain your answer.
2.73
1.3x2.1=2.73
1.3
x2.1
13
+26
2.73
Answer:
To multiply 1.3 by 2.1, we need to use the distributive property of multiplication, which states that:
a × (b + c) = a × b + a × c
Using this property, we can break down 2.1 as the sum of 2 and 0.1:
1.3 × 2.1 = 1.3 × (2 + 0.1)
= 1.3 × 2 + 1.3 × 0.1
= 2.6 + 0.13
= 2.73
Therefore, 1.3 multiplied by 2.1 equals 2.73.
Lainey is looking for a new apartment and her realtor keeps calling her with new listings. The calls only take a few minutes, but a few minutes here and there are really starting to add up. She's having trouble concentrating on her work. What should Lainey do? a) Tell her realtor she can only receive text messages O b) Limit the time spent on each call O c) Turn off her phone until she is on a break O di Call her realtor back when customers won't see her on the phone
a...cause she's having trouble concentrating,for her to work she needs to tell her realtor she can only receive text messages it enables her to know the process of the house hunt
Tropical Storm Zeta will bring 0.36 in. of rain to New Orleans. Which fraction is equivalent to this amount of rain in inches?
Answer: 9/25 inches of rain
Step-by-step explanation: Put the decimal (0.36) over its place value (100), which turns it into 36/100. Now, simplify by dividing the numerator (36) and the denominator (100) by the greatest common factor (4), to get the answer 9/25.
please help me solve
The equation for the line of best fit is: C. y = 0.894x + 0.535.
How to determine the equation for the line of best fit?In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;
x y x² y² xy__
5 4 25 16 20
6 6 36 36 36
9 9 81 81 81
10 11 100 121 110
14 12 196 144 168
Sum 438 398 415
Next, we would calculate the mean of the x and y variables as follows;
Mean = [∑(x)]/n
Mean = 44/5
Mean, \(\bar{x}\) = 8.8
Mean = [∑(y)]/n
Mean = 42/5
Mean, \(\bar{y}\) = 8.4
∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)
∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4
∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²
∑(x - \(\bar{x}\))² = 50.8
Now, we can determine the slope coefficient for the line of best fit:
Slope (b) = 45.4/50.8
Slope (b) = 0.894.
Lastly, we would determine the intercept (a) as follows;
\(a = \bar{y} - b\bar{x}\)
a = 8.4 - (0.894)8.8
a = 0.535
Therefore, the required equation is y = 0.894x + 0.535.
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