∠A and \angle B∠B are complementary angles. If \text{m}\angle A=(2x-13)^{\circ}m∠A=(2x−13)
∘
and \text{m}\angle B=(2x+7)^{\circ}m∠B=(2x+7)
∘
, then find the measure of \angle A∠A.
Answers
The measure of ∠A is 29.
What is an angle?
An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
Given that,
m∠A = (2x−13)° and m∠B = (2x+ 7)° and ∠A and ∠B are complementary angles.
Therefore
m∠A + m∠B = 90°
(2x−13)° + (2x+ 7)° = 90°
4x + 6 =90
Subtract 6 from both sides:
4x = 84
Divide both sides by 4:
x = 21
Putting x = 21 in m∠A = (2x−13)°:
m∠A = (2 × 21−13)°
m∠A = 29°
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Related Questions
toefioe and thintrate with examples, slack and sumblis variatela is i inear formaraming Tivheri b. Solve the followine tinrar Proveramming poblem uning Srmples Methind Masimize 2=10x 1
+12x 2
Sahneation x 1
+x 2
≤150
3x 1
+6x 2
≤100
4x 1
+2x 1
≤160
x 1
≥0,x 2
≥0
Answers
Slack and surplus variables are used in linear programming to convert inequality constraints into equality constraints. Slack variables are used for less than or equal to constraints, while surplus variables are used for greater than or equal to constraints.
Slack and surplus variables are artificial variables that are added to inequality constraints in linear programming problems. They are used to convert the inequality constraints into equality constraints, which can then be solved using the simplex method.
Slack variables are used for less than or equal to constraints. They represent the amount by which a constraint is not satisfied. For example, if the constraint is x + y <= 10, then the slack variable s would represent the amount by which x + y is less than 10.
Surplus variables are used for greater than or equal to constraints. They represent the amount by which a constraint is satisfied. For example, if the constraint is x + y >= 5, then the surplus variable s would represent the amount by which x + y is greater than or equal to 5.
The simplex method is an iterative algorithm that is used to solve linear programming problems. It works by starting at a feasible solution and then making a series of changes to the solution until the optimal solution is reached.
The simplex method uses slack and surplus variables to keep track of the progress of the algorithm. As the algorithm progresses, the slack and surplus variables will either decrease or increase. When all of the slack and surplus variables are zero, then the optimal solution has been reached.
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Which value(s) make(s) the inequality 1 3/4−p>1/2
true?
Select ALL that apply.
9/8
7/4
7/8
7 8
54
5/ 4
3/2
14
Answers
Answer:
9/8
5/4
Step-by-step explanation:
yan ang napili ko
how much hamburger will it take to make 300
Answers
It all depends on how you want your hamburger. If you're serving it as a main dish, 300 hamburger patties (each around 4 ounces) should be plenty to feed 300 people. If you utilize hamburger meat as a topping or filler in a meal, you'll need a different amount.
What is arithmetic operation?Arithmetic operations is a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics. It consists mostly of operations like addition, subtraction, multiplication, and division. Arithmetic Operator is used to conduct mathematical operations on the supplied operands such as addition, subtraction, multiplication, division, modulus, and so on. The four basic arithmetic operations are addition, subtraction, multiplication, and division. Arithmetic mean is a number calculated by dividing the sum of a set's elements by the number of values in the set.
Here,
It all depends on how you want to eat the hamburger. If you're serving it as a main course, 300 hamburger patties, each weighing around 4 ounces, should plenty to satisfy 300 people. It will need a different quantity of hamburger meat if you use it as a topping or filler in a dish.
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Complete question:
How much hamburger will it take to make 300 three oz patties with a 20% shrinkage?
Complete the following to use the difference of two squares to find the product of 22 and 18.( + )( - ) =( )2 - ( )2 =396
Answers
The complete equation of two squares to find the product of 22 and 18 is (22 + 18)(22 - 18) = 396
When we can interpret an expression as the difference of two perfect squares, i.e. a2-b2, we can factor it as (a+b)(a-b).
To use the difference of two squares to find the product of 22 and 18:
First, find the average of the two numbers:
(22 + 18) ÷ 2 = 20
Then, find the difference between the two numbers:
22 - 18 = 4
Now we can write:
(20 + 4)(20 - 4) = 24 × 16 = 384
But we need to add the extra 12 to get 396:
(20 + 4)(20 - 4) + 12 = 396
So the completed equation is:
(22 + 18)(22 - 18) = 396
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What is the slope of this line?
A. 2/3
B. 1/3
C. - 2/3
D. -1/3
Answers
Hope this helps.
It goes right by 3 and up by 2 therefore it is positive and 2/3 (rise over run)
A toy store had 27,436 customers last week. Which digit is in the thousands place in 27,436?
A.2
B.3
C.4
D.7
Answers
Answer:
Your answer is 7 so it's D
Step-by-step explanation:
Every week Maria puts $25 into her savings account. She has $680 in her account now. Which equation shows how to calculate how much money she will have in her account next week?
A. Amount in savings next week +$25=$680
B .Amount in savings next week =$680+$25
C. Amount in savings next week =$680×$25
D. $680− amount in savings next week =$25
Answers
Answer:
B.
Step-by-step explanation:
If every week she adds 25 dollars, then she has to still add 25 dollars. So, B. will be the correct answer.
Rocky Mountain Tire Center sells 7,000 go-cart tires per year. The ordering cost for each order is $40, and the holding cost is 40% of the purchase price of the tires per year. The purchase price is $23 per tire if fewer than 200 tires are ordered, $18 per tire if 200 or more, but fewer than 5,000 , tires are ordered, and $15 per tire if 5,000 or more tires are ordered. a) How many tires should Rocky Mountain order each time it places an order?
Answers
To determine the optimal order quantity for Rocky Mountain Tire Center, you must consider ordering costs, storage costs, and the purchase price of the tires. The order quantity should minimize the total cost including both ordering cost and storage cost.
The EOQ formula is given by: EOQ = √((2DS) / H)
Where: D = Annual demand (7,000 go-cart tires)
S = Ordering cost per order ($40) H = Holding cost - percentage of the purchase price (40% of the purchase price)
we need to determine the purchase price per tire based on the quantity ordered.
EOQ = √((2 * 7,000 * 40) / (0.4 * 15))
=118 tires
they should order approximately 118 tires.
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Calculate your monthly payments and total amounts paid. Use the formula for loan amortization below to figure out how much each payment will be. “Amortization” means paying off the loan in a series of equal installments. You’ll need to know the amount of the loan, the monthly interest rate, and the number of months you’ll be making payments in order to make the calculation.
A=P*(r(1+r)^{n})/((1+r)^{n}-1).
1) A=46,998(6.75(1+6.75)^{36}/((1+6.75)^{36}- 1)
2) A=46,998(4.75(1+4.75)^{48}/((1+4.75)^{48}- 1)
3) A=46,998(5.99(1+5.99)^{48}/((1+5.99)^{48}- 1)
Thank you in advance!!!
Answers
A gardener used 6kilograms of fertilizer over the course of 8 weeks. how much did they use each week.
Answers
6 kilogram of fertilizer were used by a gardener over the course of 8 weeks. They use 0.75 kilogram per week.
Given that,
6 kilogram of fertilizer were used by a gardener over the course of 8 weeks.
We have to find how much did they use each week.
Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group.
Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.
In the apparent reasons, you would need to place four donuts in each group in order to divide 12 donuts into three similar groups. Thus, 12 divided by 3 will result in the number 4.
Divide the weight by time
That is
6kg/8week
3kg/4week
0.75 kilogram per week
Therefore, they use 0.75 kilogram per week.
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drop down box #1: $7.50 , $5.00, $1.50
Drop down box #2: $17.50, $15.50, $15,00
Answers
Find the Sum.
1/6+2/3=?
Answers
Answer:
5/6
Step-by-step explanation:
1. Line up the fractions
1/6
+ 2/3
_____
2. Find the common denominator
1/6 x 1/1
+ 2/3 x 2/2
_____
Thus, we get:
1/6
+ 4/6
_____
3. Add
1/6
+ 4/6
_____
5/6
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 5 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
5/6 which is also 0.833
Step-by-step explanation:
(The whiteboard below)
to maximize the accuracy of a public opinion poll, what do we know about the sample of individuals we must survey?
Answers
In order to maximize the accuracy of a public opinion poll, it is important to have a representative sample of individuals that matches the characteristics of the population as a whole. This means that the sample should be selected in a way that is random and unbiased, so that every member of the population has an equal chance of being included in the sample.
For example, when conducting a poll about the political views of the general population, the sample should accurately reflect the political views of the population in terms of party affiliation, ideology, without being biased to one party.
Factors to consider when trying to ensure that your sample is representative of the total population:
Sample size: The total number of representatives of the whole population.Sampling method: The method used to select individuals for the sample can have a big impact on the representativeness of the sample. Sampling frame: The sampling frame is the list of individuals from which the sample is drawn. Nonresponse bias: Nonresponse bias occurs when certain groups are more or less likely to participate in the survey.Thus, to maximize the accuracy of a public opinion poll, it is important to ensure that the sample of individuals surveyed is representative of the population of interest.
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An oil tanker can be emptied by the main pump in 4 hours. An auxiliary pump can empty the tanker in 9 hours.If the main pump is started at 6 PM, when should the auxiliary pump be started so that the tanker is emptied by 9 PM,The auxiliary pump should be started at
Answers
Explanation
To solve the question, we will be aware that
There are 3 hours between 6PM and 9PM ,
The main pump's emptying rate is 1/4 tanker per hour. It will be open
the entire 3 hours, so it will empty 3/4 of the tank.
this means that the auxiliary pump must empty the remaining 1/4
Thus
\(rate\text{ in tanker per hour }\times time\text{ required=}\frac{1}{4}tank\)Thus, we will have
\(\frac{1}{4}\times3\text{ hours =45 minutes}\)Therefore
The auxiliary pump should start by 6pm + 45 minutes = 6:45pm
help me, please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
The first one is the answer
A parachutist's speed during a free fall reaches 50 meters per second. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 15 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Please make sure to show your work, thanks! :)
Answers
Answer:
3280
Step-by-step explanation:
50 m ≅ 164 ft (3s.f.)
50 m/s ≅ 164 ft/s
distance after 20 s:
d = 164 ft/s ⋅ 20 s
= 3280 ft
You take 4 hours to put together 32 units. How many hours would it take you to put together 56 units
Answers
It would take you 7 hours to put together 56 units based on the given information.
To solve this problem, we can set up a proportion using the given information.
Let x represent the number of hours it would take to put together 56 units.
According to the given information, it takes 4 hours to put together 32 units. So, the ratio of time to units is 4 hours / 32 units.
We can set up a proportion with this ratio:
4 hours / 32 units = x hours / 56 units
To solve for x, we can cross-multiply:
32 units * x hours = 4 hours * 56 units
32x = 224
Divide both sides by 32:
x = 224 / 32
Simplifying the division:
x = 7
Therefore, using the information provided, you could put 56 units together in 7 hours.
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HELP!!!!!!
whats the scientific notation of 30 x 10 to the power of -8
Answers
Answer:
\(3 \times 10 ^{ - 7} \)
Which is not a drawback of using focus groups? Choose one • 1 point Focus groups are expensive. O Focus group members can influence one another. Focus groups permit moderators to interact with subjects. O Focus groups rely on simultaneously gathering people in a physical or virtual space.
Answers
One drawback of using focus groups is that focus group members can influence one another. The influence of group dynamics and social pressures within the group can affect individual responses and potentially lead to biased or altered opinions.
Focus groups are a qualitative research method that involves gathering a small group of individuals to participate in a guided discussion on a specific topic. While focus groups have several advantages, such as providing insights into attitudes, perceptions, and motivations, they also have drawbacks.
One of the drawbacks is that focus group members can influence one another. This phenomenon is known as the "group effect" or "groupthink." In a group setting, participants may be influenced by the opinions, perspectives, or dominant voices of others. This can lead to a conformity bias, where individuals alter their own opinions or withhold dissenting views to align with the group consensus. The influence of group dynamics and social pressures can potentially limit the diversity of perspectives and lead to biased or altered responses.
It is essential for researchers and moderators to be aware of this drawback and take steps to mitigate its impact. This may involve carefully managing group dynamics, encouraging individual opinions, providing opportunities for anonymous input, and critically analyzing the data collected to identify and separate individual perspectives from group influences.
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Please help me with this question.
Answers
Answer:
b,c, and d
Step-by-step explanation:
its telling you the opposite of the one number
Answer:
I think its B and F
Step-by-step explanation:
9// Please help for 20 points!! thank you if you help
Answers
Using the midpoint method, what is the price elasticity of supply between point B and point C? a. 1.44 b. 1.29 c. 0.96 d. 0.78
Answers
Answer:
The price elasticity of demand, when using the midpoint formula, would be B.1.29.
How to find the price elasticity of demand ?
Price elasticity of demand = ((Q2 - Q1) / ((Q2 + Q1) / 2)) / ((P2 - P1) / ((P2 + P1) / 2))
where:
Q1 = initial quantity demanded = 20 units
Q2 = final quantity demanded = 15 units
P1 = initial price = $8
P2 = final price = $10
Substituting the values:
Price elasticity of demand = ((15 - 20) / ((15 + 20) / 2)) / (($10 - $8) / (($10 + $8) / 2))
= (-5 / 17.5) / (2 / 9)
= (-0.2857) / (0.2222)
= -1.2857
= 1. 29
John 3 miles on Monday, 2 miles on Tuesday. He ran 4 more miles on Wednesday then he did on Monday. How many miles did John run Monday through Wednesday?
Answers
Answer: John ran 10 miles through Monday and Wednesday.
Step-by-step explanation: He ran for miles on 4 but 4 more than Monday and he ran 3 miles on Monday, so you add 4 + 3 which = 7 then you add 3 to 7 because he ran 3 miles on Monday then you get 10.
5
An ant is 10 mm underground and
climbs up 0.25 mm per minute. A
i second ant is 15 mm underground and
climbs up 0.5 mm per minute. After
how many minutes will the first ant be
lower than the second ant?
d
S
Answers
Answer:
After 4 minutes
Step-by-step explanation:
After 1 min: Ant 1 is 9.75 mm underground. Ant 2 is 14.5 mm underground.
After 2 min: Ant 1 is 9.5 mm under. Ant 2 is at 14 mm under.
After 3 min: Ant 1 is 9.25 mm under.
After 4 min: Ant 1 is 9 mm under. Ant 2 is 13.5 mm under.
Ant 2 is now closer to the surface than Ant 1.
2(3x+8)=6x+16
how many solutions does this equation have
Answers
Answer:
infinite
Step-by-step explanation:
infinite
but solving for it we can get
3x + 8 = 3x + 8 (divided both sides by 2)
3x = 3x (subtracted 8)
x = x
1 = 1
therefore, for all values of x, the equation will be true so there are
infinite solutions
Please help !!! I have no idea what I’m doing and can’t find anyone to teach me this
Answers
Answer:
The required equation in factored form is: \(\mathbf{y=-4(x+2)(x-1)}\)
Step-by-step explanation:
In this question we need to find the equation of the graph in factored form.
The factored form will be: \(f(x)=a(x-r_1)(x-r_2)..\)
where a is y-intercept and r₁, r₂ are x-intercepts
X-intercepts
When y=0, the values of x axis are known as x-intercepts
Y-intercepts
When x=0, the values of y-axis are known as y-intercepts.
Looking at the graph finding x-intercepts
When y=0 x=-2 and 1
So, we have
r₁ = -2
r₂ = 1
Looking at the graph finding y-intercepts
When x=0, y=-4
So, a = -4
Putting values in the formula we will get:
\(f(x)=a(x-r_1)(x-r_2)\\f(x)=-4(x-(-2))(x-1)\\f(x)=-4(x+2)(x-1)\)
So, the required equation in factored form is: \(\mathbf{y=-4(x+2)(x-1)}\)
Sally received a $30 gift card that could be used to download songs. After she downloaded 7 songs , she had $16 remaining on her gift card. If each song costs the same amount to download, what is the cost of one song?
Answers
Answer:
$2
Step-by-step explanation:
30-16=14 so she spent $14 so far
each song cost the same much to download so 14/7=2
she downloaded 7 songs costing $2 each and spent $14
Answer:
One song equals $2
Step-by-step explanation:
$30-$16= $14
$14÷7 songs= $2 per song
Zachary has some dimes and some quarters. He has no more than 20 coins worth a minimum of $2.75 combined. If Zachary has 11 dimes, determine the minimum number of quarters that he could have. If there are no possible solutions, submit an empty answer.
Answers
Answer:
7 Quarters
Step-by-step explanation:
Let's assume Zachary has x quarters.The total value of the quarters is 25x cents.
The total value of the dimes is 11*10 = 110 cents.Together, the total value of the coins is 25x + 110 cents. We know that this total value is at least $2.75, which is equal to 275 cents.So we can set up the following inequality:25x + 110 >= 275Solving for x, we get:25x >= 165
x >= 6.6Since x must be a whole number, the smallest possible value for x is 7.Therefore, Zachary must have at least 7 quarters.
Zachary has 11 dimes worth $1.10 and needs to make up $1.65 for a total of $2.75. He would need 7 quarters to do this, giving him a total of 18 coins.
Explanation:To find out the minimum amount of quarters, one would need to understand that he only has 20 coins and $2.75 minimum. Considering a dime is worth 10 cents and Zachary has 11 dimes, they collectively amount to $1.10.
This leaves $1.65 to reach the minimum of $2.75. We know a quarter is worth 25 cents. To find the number of quarters needed to reach $1.65, we would divide 165 (representing $1.65) by 25 (a quarter's worth), which equals 6.6. However, you can't have 0.6 of a quarter, so we would round up to 7 quarters.
To check this answer, the total count of coins which is dimes and quarters should not exceed 20. Indeed, 7 quarters and 11 dimes equals 18 coins, which is less than or equal to 20. Therefore, the minimum number of quarters Zachary could have is 7.
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help me!!
what's 50×50×50=
thanks!!
Answers
Answer:
solution
50×50×50=125000
Answer:
125000
Step-by-step explanation:
The probability that a student chosen at random from a class has brown
hair is 7/13
The probability that they have ginger hair is 5/26
What is the probability that a student chosen from the class at random has
either brown hair or ginger hair?
Give your answer as a fraction in its simplest form.
Answers
Answer:
5/26+7/13
5/26+14/26
19/26
The probability that a student chosen from the class at random has either brown hair or ginger hair is 19/26.
Given that, the probability that a student chosen at random from a class has brown hair is 7/13 and the probability that they have ginger hair is 5/26.
Probability that student have either brown hair or ginger hair
= 7/13 + 5/26
= 14/26 + 5/26
= (14+5)/26
= 19/26
Therefore, the probability that a student chosen from the class at random has either brown hair or ginger hair is 19/26.
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