Pairs of congruent angles are: ∠J ≅ ∠T; ∠K ≅ ∠S; ∠L ≅ ∠R; ∠M ≅ ∠Q
A proportion of their corresponding sides is: JK/TS = KL/SR = LM/RQ = JM/TQ
What are Similar Polygons?When two polygons are similar to each other, they have the same shape but different sizes. Therefore, they will have pairs of angles that are congruent to each other and pairs of corresponding sides that have ratios that are the same, which means they have the same proportion.
Given polygons JKLM and TSRQ, the corresponding congruent angles are:
∠J ≅ ∠T
∠K ≅ ∠S
∠L ≅ ∠R
∠M ≅ ∠Q
A proportion of their corresponding sides would be:
JK/TS = KL/SR = LM/RQ = JM/TQ
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Evaluate the expression. −8÷−4 CLEAR CHECK −2 −12 12 2
Evaluate the expression is -10.
How should examples of expressions be evaluated?You must replace each variable with a number and carry out the arithmetic procedures to evaluate an algebraic expression. As 6 + 6 = 12, the variable x in the preceding example is equal to 6. We can replace our variables with their values if we know what they are, then evaluate the expression after doing so.
The division can be done as follows when assessing the phrase 8 4:
−8 ÷ −4 = 2
The expression is thus reduced to:
2 - 12
12 is subtracted from 2 to yield:
-10
Thus, -10 is the correct response.
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4:45 started it was 30 mins long
Answer:what is the question
Step-by-step explanation:
Answer:
So it will be over at 5:15
Step-by-step explanation: you add them together I think this is how I am supposed to answer this.
Please help.. ty if you do
Answer:B
Step-by-step explanation: x is less than 1 so it is a open circle on the graph and x is greater than or equal to -1 so it is a closed circle on -1, B has both of these so B is the answer
A chemist has to mix a 25% acid solution with a 35% acid solution. How many liters of each should be mixed to make 20 L of 32% acid solution?
Hello please help me !!!!!
Answer:
negative 4 and negative 1
suppose a test of significance desires to see if there is a difference in mean ssha scores between men and women. which is the appropriate alternative hypothesis?
The appropriate alternative hypothesis is the opposite of null hypothesis that there is a difference in mean SSHA scores between men and women.
The alternative hypothesis is the opposite of the null hypothesis, which is typically stated as there being no difference between the two groups. In this example, the null hypothesis is that there is no difference in mean SSHA scores between men and women. The alternative hypothesis is then that there is a difference in mean SSHA scores between men and women. This can be stated as "There is a difference in mean SSHA scores between men and women". This is the appropriate alternative hypothesis for this test of significance.
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Help please Quick Fix Inc. repairs bikes. The company's revenue is modeled by the function R(h)-220h-160 for every h hours spent
repairing bikes. The company's overhead cost is modeled by the function C(h)-20h²-400
After how many hours does the company break even?
Enter your answer in the box
The number of hours that it takes for the company to break even is given as follows:
0 hours.
How to obtain the break even point?The profit function is obtained subtracting the revenue function by the cost function, hence:
P(h) = R(h) - C(h).
P(h) = 220h - 160 - 20h² + 400.
P(h) = -20h² + 220h + 240.
The break even point is the value of h for which P(h) = 0, hence:
-20h² + 220h + 240 = 0.
The coefficients of the quadratic function is given as follows:
a = -20, b = 220, c = 240.
Using a quadratic equation calculator, the smallest root is given as follows:
h = -1.
As the number of hours cannot be negative, we consider that the company breaks even initially, hence the number of hours is of zero.
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the _____ of a trapezoid is a segment whose endpoints are the midpoints of its legs.
Answer:
The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.
Step-by-step explanation:
Find the HCF of
\( 4x {}^{2} y \: and \: 12xy {}^{3} \)
Answer:
I hope the pic i gave is helpful!!!
A truck is 250 inches long. A car is 35% shorter than the truck. How long is the car
Answer:
87.5 inches long
Step-by-step explanation:
250 x 0.35 = 87.5
Answer:262.5
Step-by-step explanation:
all i did was just subtract 35% from 250 and it is 262.5in
hope this helps
a spectrometer uses a grating with 12100 lines/cm. find the angle at which red light, 630.7 nm, has the first-order bright band. answer in units of ◦ .
A spectrometer uses a grating to separate different wavelengths of light and measure their intensity. The angle at which a particular wavelength of light has a bright band depends on the grating spacing and the order of the bright band.
The equation for the angle of a bright band is given by:
nλ = d sinθ
Where n is the order of the bright band, λ is the wavelength of light, d is the grating spacing, and θ is the angle of the bright band.
Given a grating with 12100 lines/cm, we can find the grating spacing by taking the inverse of the number of lines per centimeter:
d = 1 / 12100 = 8.264 × 10^-5 cm
We are asked to find the angle of the first-order bright band for red light with a wavelength of 630.7 nm. Converting the wavelength to centimeters gives:
λ = 630.7 × 10^-9 m = 6.307 × 10^-5 cm
Plugging in the values for the first-order bright band (n = 1), the wavelength, and the grating spacing into the equation for the angle of a bright band gives:
1 × 6.307 × 10^-5 cm = 8.264 × 10^-5 cm × sinθ
Solving for the angle gives:
sinθ = 6.307 × 10^-5 cm / 8.264 × 10^-5 cm = 0.763
θ = sin^-1(0.763) = 49.6°
Therefore, the angle at which red light has the first-order bright band is 49.6°.
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In May, a cashier worked 50.25 hours and earned $8.60 per hour. The following June, she worked the same number of hours but got a a raise and earned $9.20 per hour that month. Select the expression(s) that you can use to find how much more the cashier was paid in June than in May. Then find this amount.
Answer:
50.25(9.20−8.60)
50.25×9.20−50.25×8.60
This shows the amount of hours and the amount earned in may.
Step-by-step explanation:
50.25(9.20−8.60)
50.25(0.6) = 30.15
50.25×9.20−50.25×8.60
50.25×9.20= 462.3
50.25×8.60 = 432.15
462.3 - 432.15 = 30.15
I really really hope this is right :)
It makes sense to me but you can check it if you want!
Have a nice day <3
Algebra 1 , PLEASE PLEASE help . and if you know how to do algebra i'll have more question you can answer .. if you want :, )
Answer:
It's A, Because it makes the most sense in this algebra question.
Step-by-step explanation:
Have a great day!
Stay safe and healthy!
Happy holiday seasons!
Pleaseeeeeeee help me 7th grade math
Answer: -34
Step-by-step explanation:
first step: subtract 22 from both sides
+n=-12-22
n=-34
Answer:
-34
Step-by-step explanation:
Thats the correct answer . Im rlly good im Math :) I hope you get a good grade.
Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. What was the total cost before sales tax? Round your answer to the nearest cen
The total cost before the sales tax was 19.828 pounds.
For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.
We have to determine the total cost before sales tax.
As per the question, we have prices as:
cost of turkey = 3.95 per pound
cost of egg cheese = 1.3 per pound
cost of egg salad = 0.89 per pound
The total cost of turkey = 3.8 × 3.95 = 15.01 pounds
The total cost of cheese = 2.2 × 1.3 = 2.86 pounds
The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds
The total cost before sales tax = 15.01 + 1.958 +2.86
Apply the addition operation, and we get
The total cost before sales tax = 19.828 pounds
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The question seems to be incomplete the correct question would be:
Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?
Someone please help me with this!!!!
Write the equation of the line fully simplified slope-intercept form.
Answer:
The equation of the line is y = -x + 8
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept (value y at x = 0)The rule of the slope is m = \(\frac{y2-y1}{x2-x1}\) , where
(x1, y1) and (x2, y2) are two points on the lineFrom the given figure
∵ The line passes through points (8, 0) and (0, 8)
∴ x1 = 8 and y1 = 0
∴ x2 = 0 and y2 = 8
→ Substitute them in the rule of the slope to find it
∵ m = \(\frac{8-0}{0-8}=\frac{8}{-8}=-1\)
∴ m = -1
→ Substitute it in the form of the equation above
∵ y = -1(x) + b
∴ y = -x + b
∵ b is value y at x = 0
∵ At x = 0, y = 8
∴ b = 8
→ Substitute it in the equation above
∴ y = -x + 8
∴ The equation of the line is y = -x + 8
PLEASE HELP IT WORTH 50 points!!!!!
Answer:
(x-3) (x-2)
Step-by-step explanation:
\(x^{2}\) - 5x + 6
How to break down the equation and factorise it:
-3 x -2 = 6
-3 + -2 = -5
Final Answer:
(x-3) (x-2)
Mohal needs to lease out a music studio to record his new album. The studio charges
an initial studio-use fee plus an hourly fee for each hour in the studio. Let P
represent the total amount of money Mohal would have to pay to use the studio for t
hours. The table below has select values showing the linear relationship between t
and P. Determine how much Mohal would need to pay in studio fees if he needed to
use the studio for 0.5 hours.
In order to determine the cost for 0.5 hours, Mohal would need to know the initial studio-use fee and the hourly fee charged by the studio.
It is not possible to determine the amount of money Mohal would need to pay in studio fees for 0.5 hours based on the information provided. The table shows a linear relationship between the number of hours in the studio (t) and the total amount of money paid (P), but it does not provide a mathematical equation that can be used to calculate the cost for any given number of hours. In order to determine the cost for 0.5 hours, Mohal would need to know the initial studio-use fee and the hourly fee charged by the studio.
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\(\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}\)
need answer guys
Answer:
26. c. 6 cm
27. c. 70 cm³
Step-by-step explanation:
Question 26
Volume = Length × Width × Height360 = 10 × 6 × WidthWidth = 6 cmc. 6 cmQuestion 27
Volume = Length × Width × HeightVolume = 7 × 5 × 2Volume = 70 cm³c. 70 cm³Question 28 (not entirely visible)
Solve:
1)
Find Width
10 * W * 6 = 360
W = 360/60
W = 6 cm
2)
Volume
LWH
(2)(7)(5)
70 cm³
3)
Volume
LWH
(7)(3)(4)
84 m³
a joker cap is in the form of a right circular cone of base radius 10.5cm and height 36cm. find the area of sheet to make 20 such caps....?
plz answer this
We know that
l² = r² + h²
l² = (10.5)² + (36)²
l² = 110.25 + 1296
l² = 1406.5
l = √(1406.5)
l = 37.5 cm
Now,
CSA of cone = πrl
=> 22/7 × 10.5 × 37.5
=> 22 × 1.5 × 37.5
=> 1237.5 cm²
Area of 20 caps = 20 × 1237.5
=> 24750 cm²
Answer:
24740 cm²
Step-by-step explanation:
First let us find the slant height (l) of the corn
l² = r² + h²
l² = (10.5)² + (36)²
l² = 110.25 + 1296
l² = 1406.25
l = √1406.25
l = 37.5 cm
Now let us use this formula to find the area of a corn
π r l
π × 10.5 × 37.5
1237.00 cm²
And now let's find the area of 20 caps or corns
1237.00 × 20
24740 cm²
Hope this helps you :-)
Martin recorded the low temperatures at his house for one week. The temperatures are shown below.
-7, -3, 4, 1, 2, 8, 7
Approximately what was the average low temperature for the week?
Α. 7
B. "1
C. 1
D "8
I need the sum to (x + 3) + (2x-1)
answer:
3x + 2
YOUR WELCOME MARK BRAINLIEST
Answer:
18
Step-by-step explanation:
Parantheses
Exponents
Multiply
Division
Adding
Subtracting
Select all that apply. You know the difference in the distances the boys ran, so this is a subtraction problem. You are finding the total distance the boys ran, so this is an addition problem. Dean ran part of the distance Sam ran, so this is a multiplication problem. The correct equation is s + 2.3 = 6.8. The correct equation is s – 2.3 = 6.8. The correct equation is 2.3s = 6.8.
The correct equation to find the distance ran by sam is s – 2.3 = 6.8 and it is a subtraction problem thus options (A) and (E) will be correct.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
As per the given,
Dean runs 2.3 fewer kilometers than Sam.
Deam run 6.8 kilometer thus,
s – 2.3 = 6.8
Hence "The correct equation to find the distance ran by sam is s – 2.3 = 6.8 and it is a subtraction problem".
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The given question is incomplete the complete question follows,
Work out the sum of 1/3, 1/5 and 3/10
Give your answer in its simplest form.
Answer:
5/6
Step-by-step explanation:
1/3 x 1/5 = 8/15 then add to 3/10 and you get 5/6 simplifed
The sum of 1/3, 1/5, and 3/10 is 5/6.
How to estimate the simplest form?
Based on the given conditions, formulate 1/3 + 1/5 +3/10
To estimate the common denominator and note the numerators above the common denominator, then we get
10 + 6 + 9/30
Calculate the sum or difference in the above equation, we get
10 + 6 + 9/30 = 25/30
Decrease the fraction to the lower term by canceling the greatest common factor, we get
25/30 = 5/6
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2. Please answer attached Parallel Lines with Multiple Transversal
Answer:
Step-by-step explanation:
( x )° + 60° + ( x - 20 )° = 180°
x + 60 + x - 20 = 180
2x + 40 = 180
2x = 140
x = 70
m ( ∠A ) = 70°
m ( ∠B ) = 50°
m ( ∠C ) = 60°
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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Hi i don’t know how to answer #4 and #5. I’m in college calculus 1.
Hence,
\(\begin{gathered} \tan ^2\alpha+1=\sec ^2\alpha \\ \text{Substitute tan}\alpha=-3\text{ into the eqaution above},\text{ we have } \\ (-3)^2+1=\sec ^2\alpha \\ 9+1=\sec ^2\alpha \\ 10=\sec ^2\alpha \\ \sec ^2\alpha=10 \\ \sec \alpha=\sqrt[]{10} \\ \text{but sec}\alpha=\frac{1}{\cos \alpha} \\ \text{hence, }\frac{1}{\cos\alpha}=\sqrt[]{10} \\ \cos \alpha=\frac{1}{\sqrt[]{10}} \end{gathered}\)\(\begin{gathered} \text{But tan}\alpha=\frac{\sin \alpha}{\cos \alpha} \\ \sin \alpha=\tan \alpha\cos \alpha \\ \sin \alpha=-3\text{ x }\frac{1}{\sqrt[]{10}} \\ \sin \alpha=-\frac{3}{\sqrt[]{10}} \\ \\ Hence,\text{ }\sin \alpha=-\frac{3}{\sqrt[]{10}} \end{gathered}\)help me out i will give brainliest i’m in school help
Answer:
C: (4, -12)
Step-by-step explanation:
graph starts at 48 and keeps going down by 4 making the x intercept stop at 4. y intercept goes down by 4 but stops on the negative side of 12. so (4,-12)
Jeremy can buy two tacos at 75 cents each and a medium drink for $1.00—or a "value meal" with three tacos and a medium drink for $3. For him, the marginal cost of the third taco would be?
A. 0
B. $0.75
C. $1.00
D. $0.50
Answer: To determine the marginal cost of the third taco for Jeremy, we need to compare the cost of buying it individually to the cost of buying it as part of the value meal.
Buying two tacos individually:
Cost of two tacos: 2 tacos * $0.75/taco = $1.50Buying the value meal with three tacos:
Cost of the value meal: $3.00To calculate the marginal cost, we subtract the cost of buying the value meal from the cost of buying two tacos individually:
Marginal cost = Cost of buying two tacos individually - Cost of the value mealMarginal cost = $1.50 - $3.00Marginal cost = -$1.50
The negative value indicates that buying the value meal is more cost-effective than buying the third taco individually. Therefore, the marginal cost of the third taco for Jeremy would be $0 (option A).
Need help asap???????
Answer:
sorry man I dont know what it is