The measure of Angle ∠A is 93
How to find the measure of angle ∠A?The given parameters are
Angle ∠A = 2x + 19
Angle ∠B = 3x - 18
The angles are vertical angles
So, we have
Angle ∠A = Angle ∠B
This gives
3x - 18 =2x + 19
Collect the like terms
3x - 2x = 18 + 19
Evaluate the like terms
x= 37
Substitute x= 37 in Angle ∠A = 2x + 19
Angle ∠A = 2 x 37 + 19
Evaluate
Angle ∠A = 93
Hence, the measure of Angle ∠A is 93
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12 / 50 Marks
Simplify this expression
2x x x
The bill for lunch was $7. The sales tax in dallas , Texas , is 8. 25%. If you have $9. 50 , what is the maximum amount you can give for a tip and still cover the food bill and sales tax ? About what percent of the food bill would this tip be ?explain
Step-by-step explanation:
7 dollars + .0825 tax = 7 .58
leaving $1.92 max tip ( out of 9.50 to spend)
( this is a 27% tip on your purchase....more than adequate)
A bag contains 40 red and green marbles. The number of green marbles, g, is 9 times the number of red marbles, r.
How many red marbles are in the bag?
Answer:
4 red marbles
Step-by-step explanation:
r is the number of red marbles then green marbles is 9r , so
r + 9r = 40
10r = 40 ( divide both sides by 10 )
r = 4
there are 4 red marbles
cos^2A+cos^2A*cot^2A=cot^2A
Is probability and statistics part of algebra? Thank you and have a good day! :D
Answer:
Both probability and statistics are considered to be part of algebra due to the fact that they both deal with equations and variables. Also last semester I had Algebra II with statistics and we dealt with probability & statistics.
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
Answer:
Both probability and statistics can be considered to be part of algebra as they deal with equations and variables.
Probability and statistics are related areas of mathematics that concern themselves with analyzing the relative frequency of events.
Step-by-step explanation:
What is the slope and does it pass?
Answer: no.
Step-by-step explanation:
it's 1 tenth
Jazz earns $12 per hour every Friday babysitting for her cousins. She pays $3 taking the bus there and another $3 taking the bus home. How much does she make if she babysits for 5 hours?
Answer:
it is definitely $60 . Do not count the expenditure cause it is not asked .
The amount Jazz earns by babysitting is A = $ 54
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Jazz earns $12 per hour babysitting for her cousins every Friday. If she babysits for 5 hours, her total earnings would be:
Total earnings = Earnings per hour x Number of hours babysitting
Total earnings = $12/hour x 5 hours
Total earnings = $60
However, Jazz also spends $3 each for taking the bus to her cousins' place and another $3 for taking the bus back home. So her total expenses for transportation would be:
Total transportation expenses = $3 + $3 = $6
To calculate Jazz's net earnings, we subtract her total transportation expenses from her total earnings:
Net earnings = Total earnings - Total transportation expenses
Net earnings = $60 - $6
Net earnings = $ 54
Hence , Jazz would make $ 54 if she babysits for 5 hours after deducting her transportation expenses
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Determine whether the relation is a function. Explain why or why not.
{(6, –7), (5, –8), (1, 4), (5, 5)}
A.
No; the domain value 5 corresponds to two range values, –8 and 5.
B.
No: 5 is both in the domain and in the range.
C.
Yes; the range values are all different.
D.
Yes; the domain value 5 corresponds to two range values, –8 and 5.
Answer: THE ANSER IS A. No, the domain value 5 corresponds to two range values, -8 and 5.
Find the domain and range.
Domain:
{ 6 , 5 , 1 }
Range:
{ − 7 , − 8 , 4 , 5 }
Step-by-step explanation: IT'S NOT C OR D
Determine if the relation is a function.
The relation is not a function.
310-(30x7)=5xk solve for k
Answer K= 20/x
Step-by-step explanation:
The value of k in the given linear equation is 20.
What is a linear equation?A linear equation is an equation where the variable (or variables) has the highest power of one.
Given,
310 - (30 × 7)=5 × k
⇒ 310 - 210 = 5k
⇒ 5k = 100
⇒ k = 100/5 = 20
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Data analysis and probability unit test
Students should be able to apply these concepts and tools in real-world situations, such as calculating the probability of winning a game or analyzing data from a scientific Experiment.
The probability is a measure of the possibility of an event happening. It is expressed as a fraction or decimal between 0 and 1, or as a percentage between 0% and 100%. Probability can be used to determine the likelihood of an event happening or not happening.
Data analysis is the process of analyzing data to extract valuable insights from it. It involves examining data sets to uncover trends, patterns, and relationships that can be used to make informed decisions. Data analysis is an important tool in many fields, including business, finance, and science.
The data analysis and probability unit test assesses students' understanding of these concepts and their ability to apply them in real-world situations.
The test typically includes questions that require students to use probability to determine the likelihood of an event happening or not happening, as well as questions that ask students to analyze data sets to extract valuable insights.In order to prepare for the data analysis and probability unit test, students should review the key concepts and formulas related to probability, such as the addition rule, the multiplication rule, and the complementary rule.
They should also practice analyzing data sets using tools like histograms, scatter plots, and box plots, and should be familiar with key concepts like mean, median, and mode.
Finally, students should be able to apply these concepts and tools in real-world situations, such as calculating the probability of winning a game or analyzing data from a scientific experiment.
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Determine the largest integer value of x x in the solution of the following inequality. 5x+6< 19
Answer:
2
Step-by-step explanation:
First, let's solve the inequality.
Step 1: Subtract 6 from both sides.
\(5x+6-6 < 19-6\) \(5x < 13\)Step 2: Divide both sides by 5.
\(5x/5 < 13/5\) \(x < 2.6\)Now that we know x has to be less than 2.6, we can easily assume the largest integer value that satisfies the inequality is when x = 2
Please help me :(
……………………………………………………………………...
ABCD ~ QRST
Find the missing side length, n.
B.
C
8
R
n
S
А
D
T
12.
9
n = [?]
Answer:
n = 6
Step-by-step explanation:
The left side is 8/12 = 2/3 the length of the bottom, so ...
n = (2/3)(9)
n = 6
how many license plates can be made using either 3 digits followed by 3 letters, or 3 letters followed by 3 digits?
Answer:
infinite
Step-by-step explanation:
the law in most states in the usa states there must be 3 letters and 3 numbers so there could be infinite
-hope this helps-
Can somebody help me with this question. Thank you!
Answer:
where is question ???
Step-by-step explanation:
to divide data with a high value of h and a low value of l into k classes, the class interval must be:
The number of classes should be an integer and this value will typically be a fraction. The limit needs to be raised in order to take into account all observations when this calculation yields an integer.
The fixed and variable costs can be determined by solving the system of equations if the variable cost is a fixed charge per unit and the fixed costs stay the same. The high-low method can, however, produce more or less accurate findings based on the distribution of values between the highest and lowest monetary values or quantities, therefore it is important to use caution when applying it.
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I apreciate your help thanks.
Answer:
i think its A
There are three values of k for which P(x) = x^3 − 2x^2 − x + 2 divided by (x − k) gives a remainder of zero. Find the three values of k.
Answer:
k= –1, 1 & 2
Step-by-step explanation:
use the factor and remainder theorem
rational root theorem
synthetic division
and factorisation method.
Answer:
K= -1 , 1 , 2
:)
Done this problem before
Suppose you read on the back of a lottery ticket that the chances of winning a prize are 1 out of 10. Select the best interpretation. a. If many people buy a ticket, about 1 in 10 will win. b. If you buy 10 tickets, more likely than not you will win exactly once. c. You will win at least once out of the next 10 times you play. d. You will win exactly once out of the next 10 times you play. I
The best interpretation of the statement "the chances of winning a prize are 1 out of 10" is that if many people buy a ticket, about 1 in 10 will win.
This statement means that for every 10 tickets sold, on average, only one ticket will win a prize. It does not guarantee that you will win a prize if you buy a single ticket or even several tickets. The probability of winning a prize remains the same for every ticket purchased. It is important to note that winning a prize in a lottery is largely a matter of luck, and the odds are always against the player. While buying more tickets may increase your chances of winning, it does not guarantee a win.
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if a flat screen television is a rectangle with a 53-invh diagonal and a width of 45 inches what is the height of the screen?
Draw a picture the in solve for the missing side.
The height of the screen will be;
⇒ h = 28 inches
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
A flat screen television is a rectangle with a 53-invh diagonal and a width of 45 inches.
Here,
The diagonal of the screen television = 53 inches
And, The width of the screen television = 45 inches
Let the height of the television = h
So, By the Pythagoras theorem, we get;
⇒ AC² = AD² + DC²
Where, AC = Diagonal of television.
AD = Height of the television
DC = Width of the television.
Substitute all the values, we get;
⇒ 53² = h² + 45²
⇒ 2809 = h² + 2025
⇒ 2809 -2025 = h²
⇒ h² = 784
⇒ h = √784
⇒ h = 28 inches
Thus, The height of the screen = 28 inches
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Please help!!
What is the slope of the line?
christine has 4 burger patties in her freezer. At the store, she can buy packs of 6 patties. She wants to have atleast 40 patties for the party. Write an inequality to represent the situation. What is the least number of whole packs Christine needs to buy for the party?
Answer:
4+6p ≥ 40
or simplified : 6p ≥ 36
She needs at least 6 packs.
Step-by-step explanation:
The amount of patties she has needs to be greater than 40, and she already has 4 in her freezer. So these 4 added to how many she buys at the store (which come in packs of 6) have to be greater than 40.
Divide 6 on both sides using the simplified version, p ≥ 6.
Dans 33 ans, Sarah aura le quadruple de son âge actuel.
Quel âge a-t-elle aujourd'hui ?
Answer:
Step-by-step explanation:
an urn contains 3 black balls and 7 white balls. What is the probability of getting 1 black ball and 1 white ball in 2 consecutive draws from one urn
The probability of drawing one black ball and one white ball in two consecutive draws from the urn is approximately 0.42.
To calculate the probability of drawing one black ball and one white ball in two consecutive draws, we need to consider the outcomes of each draw.
In the first draw, there are 10 balls in total (3 black and 7 white). The probability of drawing a black ball on the first draw is 3/10, and the probability of drawing a white ball is 7/10.
For the second draw, after removing one ball from the urn, there are now 9 balls left. The probability of drawing a black ball on the second draw, given that a black ball was drawn on the first draw, is 2/9. Similarly, the probability of drawing a white ball on the second draw, given that a white ball was drawn on the first draw, is 6/9.
To calculate the overall probability, we multiply the probabilities of the individual events. The probability of drawing one black ball and one white ball in two consecutive draws is (3/10) * (6/9) + (7/10) * (2/9) ≈ 0.42.
Therefore, the probability of getting one black ball and one white ball in two consecutive draws from the urn is approximately 0.42.
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Please help, due tomorrow. Will give brainlist
Answer/Explanation
x y
-1 -3
0 0
y- intercept (0,0)
slope: 3
Necesito ayuda con esto
Answer:
Step-by-step explanation:
A'B'C' is a rotation of ABC 90 degrees about the orgin. What is the length of A'C'?A. 7 unitsB. 5 unitsC. 12 unitsD. 3 units
We know that A'B'C' is a rotation of the triangle ABC 90 decrees about the origin.
We remember that in a rotation, the lengths of the segments don't change, and thus, the measure of the segments are:
\(\begin{gathered} AB=A^{\prime}B^{\prime} \\ AC=A^{\prime}C^{\prime} \\ BC=B^{\prime}C^{\prime} \end{gathered}\)This means that the length of A'C' is 5 units, as this is the length of the segment AC.
Answer:
5 units
Step-by-step explanation:
I got it right on the test.
Help me fix this (image attached)
The value of x from given quadrilateral ABCD is 27°.
In the given quadrilateral ABCD, ∠A=3x+5, ∠B=2x+15, ∠C=4x and ∠D=4x-10.
We know that, the sum of interior angles of quadrilateral is 360°.
Here, ∠A+∠B+∠C+∠D=360°
3x+5+2x+15+4x+4x-10=360°
13x+10=360°
13x=350°
x=350/13
x=26.9
x≈27°
Therefore, the value of x from given quadrilateral ABCD is 27°.
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Under what operations is the system of polynomials not closed?.
Answer:
Polynomials form a system similar to the system of integers, in that polynomials are closed under the operations of addition, subtraction, and multiplication.
...
Polynomials: YES or NO
3x½ NO - exponent is not a whole number
2x-3 NO - exponent is not a whole number. Negative exponent places x3 in denominator.
Step-by-step explanation:
18PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED AND PLS PLS PLS EXPLAIN THE ANSWER OR HOW U GOT IT PLEASE AND TY
The exact lengths of the missing sides for the right triangle using trigonometric ratio of the respective angles are: a = 4, b = 4√3, c = 4√3, and d = 4√6
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
sin 30 = a/8 {opposite/hypotenuse}
a = 8 × 1/2 {sin 30 = 1/2}
a = 4
cos 30 = b/8 {adjacent/hypotenuse}
b = 8 × √3/2 {cos 30 = √3/2}
b = 4√3
sin 45 = 4√3/d
d = 4√3 × 2/√2 {sin45 = √2/2}
d = 4√6
cos 45 = c/4√6
c = 4√6 × √2/2
c = 2√12
c = 4√3
Therefore, the exact lengths of the missing sides for the right triangle using trigonometric ratio of the respective angles are: a = 4, b = 4√3, c = 4√3, and d = 4√6
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