Answers
The value of k in the given diagram is 10.
What is a linear pair?A linear pair refers to two adjacent angles that are created when two lines intersect. The defining characteristic of a linear pair is that the sum of their measures is always equal to 180 degrees, which makes them supplementary angles. Essentially, a linear pair is a type of angle pair where the two angles are not only adjacent to each other, but they also add up to a straight angle. Linear pairs are frequently found in various geometric shapes, including triangles, quadrilaterals, and polygons. They also have real-world applications in areas such as architecture and engineering.
We know that sum of angles of a triangle is 180.
So in tringle XYZ,
Angle ZXY + Angle XYZ + Angle YZX = 180
Given angle values ZXY = 6k+10, YZX = 4K+5 and ZYM = 115
We see that Angle XYZ + Angle ZYM = 180, since they are a linear pair.
This means Angle XYZ = 180 - Angle ZYM = 180 - 115 = 65
Hence, Angle ZXY + Angle XYZ + Angle YZX = 180
6k+10 + 65 + 4K+5 = 180
10k + 80 = 180
10k = 180 - 80 = 100
k = 100/10 = 10
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Related Questions
Police stop a truck at a check post which claims to be carrying sacks of Humic Acid Sodium, a black, water-soluble fertilizer. When the truck is examined, it is found to have sacks of at least four different materials which the police label W, X, Y and Z. They suspect that apart from the fertilizer, the truck is carrying iron filings, gunpowder, and black powdered wood. They conduct some tests whose results are as follows:
The real question is to look at the table and find out which one is the gunpowder?
Answers
Answer:
Z fine black powder
find the area of a triangle whose base is 8 inches and whose height is 12 in.
(a) 96in.²
(b) 10in ²
(c) 20in.²
(d) 48in.²
Answers
Answer:
48in.²
Step-by-step explanation:
The formula for the area of a triangle is 1/2 x b x h
Since the b = 8 and the h = 12, substitute 8 and 12 for b and h.
1/2 x 8 x 12
4 x 12
48in.²
Answer:
d
Step-by-step explanation:
area= ½ × b × h
= ½ × 8 × 12
= ½ × 96
= ⁹⁶/²
= 48in²
Based only on the information given in the diagram, which congruencetheorems or postulates could be given as reasons why AHEL = APME?Check all that apply.MHВА. НАB. ASAO C. LLD. AASIE. HLF. SAS
Answers
HA Theorem: it states that if the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another triangle, then the two triangles are congruent. IT APPLY.
ASA: Triangles are congruent if any two angles and their included side are equal in the triangles. IT APPLY.
LL: It states that if the legs of one right triangle are congruent to the legs of another right triangle, the two triangles are congruent. IT APPLY.
AAS: If two angles and the non-included angle side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. IT APPLY.
In order not to lengthen this question, notice the two triangles are complete equals, then you can tick all the theorems.
When the problem asks you to solve an equation, what are you solving for?
Answers
Answer:
The equation it gives you.
Step-by-step explanation:
For example you could solve for x or a inequality maybe even a trial.
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answers
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
In the diagram, BA || CD, CB = DB, mLC = 5(x – 3), and
m_D = 2x + 21. What is the value of mZ1 + Z2?
B/1
2
A
с
D
w
60
36
o 90
45
Answers
Answer:
90 por que eso mide cada ángulo
Please awnser asap I will brainlist
Answers
Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.
How many tickets of each kind has been sold?Let's solve the problem step by step.
Let:
x = number of $10 tickets sold
y = number of $20 tickets sold
z = number of $30 tickets sold
From the given information, we can form the following equations:
Equation 1: x + y + z = 3318 (Total number of tickets sold)
Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)
Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)
We can use these three equations to solve for the values of x, y, and z.
First, let's substitute Equation 2 into Equation 1:
x + (x + 109) + z = 3318
2x + 109 + z = 3318
2x + z = 3209 (Equation 4)
Now, let's substitute the value of y from Equation 2 into Equation 3:
10x + 20(x + 109) + 30z = 61760
10x + 20x + 2180 + 30z = 61760
30x + 30z = 59580
x + z = 1986 (Equation 5)
We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.
Multiplying Equation 4 by 30, and Equation 5 by 2, we get:
60x + 30z = 96270 (Equation 6)
2x + 2z = 3972 (Equation 7)
Now, subtract Equation 7 from Equation 6:
(60x + 30z) - (2x + 2z) = 96270 - 3972
58x + 28z = 92298
Simplifying, we have:
29x + 14z = 46149 (Equation 8)
Now, we can solve Equations 5 and 8 simultaneously:
x + z = 1986 (Equation 5)
29x + 14z = 46149 (Equation 8)
Multiplying Equation 5 by 14, and Equation 8 by 1, we get:
14x + 14z = 27804 (Equation 9)
29x + 14z = 46149 (Equation 8)
Now, subtract Equation 9 from Equation 8:
(29x + 14z) - (14x + 14z) = 46149 - 27804
15x = 18345
Divide both sides of the equation by 15:
x = 18345 / 15
x = 1223
Substituting the value of x into Equation 5, we can find z:
1223 + z = 1986
z = 1986 - 1223
z = 763
Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:
1223 + y + 763 = 3318
y + 1986 = 3318
y = 3318 - 1986
y = 1332
Therefore, the solution to the problem is:
x = 1223 (number of $10 tickets sold)
y = 1332 (number of $20 tickets sold)
z = 763 (number of $30 tickets sold)
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A certain virus infects one in every 300 people. A Test used to detect the virus in a person is positive 85% of the time if that prerson has the virus and 5% of the time if the person does not have the virus. This 5% result is called a false positive. Let "A" be the event the person is infected and "B" the event the person tests positive. Find the probability that a person has the virus given that they have tested positive find the P(A/B)= Round to nearest tenth of a % Don't include % sign.
Answers
The probability that a person has the virus given that they have tested positive find the P(A/B)=0.0045
We can use Bayes' theorem to find the probability that a person has the virus given that they have tested positive:
P(A | B) = P(B | A) * P(A) / P(B)
where P(B | A) is the probability of testing positive given that the person has the virus, P(A) is the prior probability of a person having the virus (1/300), and P(B) is the total probability of testing positive.
To find P(B), we can use the law of total probability, which states that:
P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)
where P(B | not A) is the probability of testing positive given that the person does not have the virus. This is the false positive rate, which is 5% or 0.05 in this case. P(not A) is the complement of P(A), which is 299/300.
Substituting the values, we get:
P(B) = 0.85 * 1/300 + 0.05 * 299/300
= 0.059
Now we can plug in the values into Bayes' theorem:
P(A | B) = 0.85 * 1/300 / 0.059
= 0.0045 or 0.45%
Therefore, the probability that a person has the virus given that they have tested positive is 0.45% or 0.0045 (rounded to the nearest tenth of a percent).
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Factor by completing the square: x^4-x^2+16
Answers
It should be noted that the factoring of x⁴ - x² - 16 will be (x + 4)(x - 4).
How to illustrate the information?It should be noted that the expression given is illustrated as:
x⁴ - x² - 16
= x² - 16
= x² - 4²
= (x + 4)(x - 4)
Therefore, the factoring of x⁴ - x² - 16 will be (x + 4)(x - 4).
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Select the correct answer.
Which pair of expressions are equivalent?
Answers
Answer:
D
Step-by-step explanation:
None of the others make sense. In answer D x+y is the same as x-y+2y because you add the y's and its the same thing as x+y.
Hope It Helped :)
the kindergarten section of lehigh valley has 12 classerooms . if each class room can a accommodate less than 15 kides how many kides the kindergartner section accommodate in all , write an slove an inequality ?
Answers
If each classroom can accommodate less than 15 kids, then we can assume that the maximum number of kids in each classroom is 14 (since 15 is not allowed). Therefore, the maximum number of kids in all 12 classrooms would be:
Max number of kids = 14 kids/classroom x 12 classrooms = 168 kids
So the kindergarten section can accommodate a maximum of 168 kids.
We can write this as an inequality as follows:
Let K be the number of kids in the kindergarten section. Then:
K ≤ 168
This inequality says that the number of kids in the kindergarten section (K) is less than or equal to 168. As long as the number of kids is less than or equal to 168, the kindergarten section can accommodate them all.
Can someone help me with this? I’m confused
Answers
Answer:
Option 4
Step-by-step explanation:
The domain of this function is the possible values of n that are suitable for this function. Since n represents a number of vehicles, the domain of n should be a whole number (since you cannot have a negative number of vehicles or half of a vehicle).
hope this helps :)
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answers
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Can someone help and explain? 4 + 5x - 1
Answers
Answer:
5x+3
Step-by-step explanation:
1. Subtract 1 from 4
4+5x-1
2. Solution
5x+3
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
Answers
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
A sample has a sample proportion of 0.3. Which sample size will produce the
widest 95% confidence interval when estimating the population parameter?
A. 46
B. 68
C. 56
D. 36
Answers
Using the z-distribution, the sample size that will produce the widest confidence interval is given by:
D. 36.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which:
\(\pi\) is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
The widest interval has the highest margin of error, and since the margin of error is inversely proportional to the sample size, a lower sample size generates a higher margin of error, hence option D is correct.
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please help me asap
Answers
Answer:
5 times K is 5K
Step-by-step explanation:
gujjhgvbjyijgvbn
Answer:
5k
Step-by-step explanation:
5 times k is 5k
Find AC.
B
7x-6
6x +4
Answers
answer:
put a picture of the question, it is easier to understand that way.
1. If the ratio of the ages of Kissi and Esinam is 3:5 and that of Esinam and Lariba is 3:5 and
the sum of the ages of all 3 is 147 years, what is the age difference between oldest the
youngest?
Answers
Answer:
37 years difference.
Step-by-step explanation:
K = Kissi
k = Age of Kissi
E = Esinam
e = Age of Esinam
L = Lariba
l = Age of Lariba
k + e + l = 147
K : E
3 : 5 → (×3) → 12 : 15
E : L
3 : 5 → (×5) → 15 : 25
K : E : L
12 : 15 : 25
12 + 15 + 25 = 52
147/52 = 2.8269...
K is the young since out of the three part ratio, 12 is the smallest and likewise, L is the oldest.
k = 12 × 2.8269... = 33.923... → 34 y/o
e = 15 × 2.8269... = 42.40... → 42 y/o
l = 25 × 2.8269... = 70.673... → 71 y/o
∴ The difference between the youngest and oldest is:
71 - 34 = 37
PLEASE HELP ME 10 POINTS!
Answers
4/10
I'm not 100% sure though
136.25
In a different number, the 6 represents a value which is one-tenth of the value of the 6 in the number above.
What value is represented by the 6 in the other number?
six hundredths
six tenths
six ones
six tens
Answers
Answer:
six tens
Step-by-step explanation:
six tens
The value is six tens that represent by the 6 in the other number.
How to identify the place value of a digit in a number?The place values on left of decimal point start as ones, tens, hundreds, and so on.
The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on
The tens means multiply by 10, The tenth refers to tenth part of that digit which is that digit divided by 10
we are given that the 6 represents a value which is one-tenth of the value of the 6 in the number.
136.25
The number which is represented by the 6 in the other number would be;
six tens
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Which equation represents the graphed function?
O y=-2x + 3
O y = 2x + 3
O y=*+3
O y=-*x+3
Answers
Answer: y= -2x + 3
Step-by-step explanation:
Please help me with this math question lol
Answers
Answer:
120 students are predicted to like chocolate chip ice cream best.
Step-by-step explanation:
40% = 0.4
Multiply 300 by 0.4 to get 40% of 300.
300 × 0.4 = 120
Find equation with points (-3,-8) and (1, 16)
Answers
Answer:
The equation of the line is y = 6x + 10.
Step-by-step explanation:
(-3,-8) (1 ,16)
x1, y1. x2,y2
Gradient(m) = (y2 - y1)/(x2 - x1)
= (16 - (-8))/(1 - (-3))
= 24/4 = 6
Equation of a line is given as:
(y - y1) = m(x - x1)
y - (-8) = 6(x - (-3))
y + 8 = 6x + 18
y = 6x + 10
The price of a phone is decreased by 19% and now is $319.14. Find the original price
Answers
The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.
what is percentage ?In arithmetic, a percentile is a number or statistic that is given as a fraction of 100. Occasionally, the acronyms "pct.," "pct," nor "pc" are also used. But it is broadly classified into the following by the cent sign, "%." The % amount has no characteristics. Percentages are essentially integers when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it close to it. For instance, you score a 75% if you properly answer 75 so out 25 pages on a test (75/100). Divide the money by the whole and multiply the results by 100 you compute percentages. The formula for calculating the percentage is (value/total) x 100%.
given
Put this together using the conditions given: 319.14 / (1- 19%)
Determine the total or difference: 319.14 / 0.81
Diminish the fraction: 394
Response: 394
The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.
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Simplify to zero answers.
Answers
The given diagram shows the steps for constructing a line parallel to line AB and passing through point P, but an error has occurred in the construction. What needs to be corrected in the diagram to fix the error?
Answers
The thing that needs to be corrected in the diagram to fix the error is that the third arc should be drawn centered at F.
How should the error be corrected?
Given:
Constructing a parallel line to line AB and passing through point P.
To find:
An error occurred in the construction.
The procedure is,
The first arc must be drawn centered at C.The second must be drawn centered at P.Finally, the third arc must be drawn centered at F.However, the third arc is drawn centered at D. This is wrong.
Therefore, the correct step is that the third arc must be centered at F.
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Ashe feels she needs $45,000 per year in retirement. If she receives $2,500 a month from Social Security, at what interest rate must Asha invest her $250,000 of savings for her income to be AT LEAST $45,000 per year? PLEASE HURRYYY
Answers
Answer:
15,000 from her savings
Step-by-step explanation:2,500*12=30,000 45000-30,000=15,000
mega mart sells a large 5kg cake for $2500 while a 2kg chocolate cake cost $1200 what is the cheapest price sam would payfor 10kg of cake for the party
Answers
The cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.
To find the cheapest price Sam would pay for 10kg of cake for the party, we need to compare the prices of the available cakes and determine the most cost-effective option.
At Mega Mart, a 5kg cake costs $2500.
Therefore, the price per kilogram for this cake is:
Price per kilogram at Mega Mart = $2500 / 5kg = $500/kg.
At the same time, a 2kg chocolate cake costs $1200.
So, the price per kilogram for this cake is:
Price per kilogram for the chocolate cake = $1200 / 2kg = $600/kg.
Now, let's calculate the total price for 10kg of cake from each option:
Total price at Mega Mart for 10kg = $500/kg \(\times\) 10kg = $5000.
Total price for 10kg of chocolate cake = $600/kg \(\times\) 10kg = $6000.
Comparing the two options, we see that the Mega Mart cake is the more cost-effective choice.
Sam would pay a total of $5000 for 10kg of cake from Mega Mart, whereas the chocolate cake would cost $6000 for the same quantity.
Therefore, the cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.
In summary, Sam would pay the cheapest price of $5000 to purchase 10kg of cake for the party from Mega Mart.
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Determine if the following statement is true or false.
The difference between two negative numbers is always negative.
Answers
Answer:
False
Step-by-step explanation:
Negative and Negative always equals positive
Negative and positive always equal negative