Answers
The angles (4x+6)° and (6x-16)° are alternate interior angles, then they are congruent.
4x + 6 = 6x - 16
6 + 16 = 6x - 4x
22 = 2x
22/2 = x
11 = x
In consequence, the (6x-16)° measures:
6(11) - 16 = 66 - 16 = 50°
This angle and the angle (y+9)° are vertical angles, then they are congruent.
y + 9 = 50
y = 50 - 9
y = 41
Related Questions
When I visit my brother it is a 532 mile round trip. If I visit my brother once a month how many miles would I travel in a year round the miles to the nearest thousands to estimate the answer
Answers
Answer:
6384 is the exact answer.
6000 is the answer rounded to the nearest thousand
Step-by-step explanation:
Answer:
6000
Step-by-step explanation:
532 X 12 = 6384 rounded would be 6000 miles a yr
At a local play production, 490 tickets were sold. The ticket prices varied on the seating arrangements and cost $8, $10, or $12. The total income from ticket sales reached $4600. If the combined number of $8 and $10 priced tickets sold was 6 times the number of $12 tickets sold, how many tickets of each type were sold?
Answers
PRICES COUNTS COSTS
8 e 8e
10 420-e-t 10(420-e-t)
12 t 12t
420 3920
system%28e%2B420-e-t=5t%2C8e%2B10%28420-e-t%29%2B12t=3920%29
First equation gives highlight%28t=70%29.
Second equation simplifies to e-t=140.
Substitution gives highlight%28e=210%29.
Quantity of $10 tickets by difference, highlight%28140%29
In the diagram below of triangle BCD, E is the midpoint of BD and F is the midpoint of CD. If EF = 43-4x, and BC = 32-2x, what is the measure of EF?
Answers
The measure of the length EF of the triangle is; 21
How to solve similar triangles?We are given the the triangle BCD and we are told that;
E is the midpoint of BD.
F is the midpoint of CD
Now, since we have those midpoints, it means that by the concept of similar triangles, that;
DF/DC = EF/BC
Since F is the midpoint of DC, then it means that;
2DF = DC
We are given;
EF = 43 - 4x, and BC = 32 - 2x
Thus, we now have;
DF/(2DF) = (43 - 4x)/(32 - 2x)
1/2 = (43 - 4x)/(32 - 2x)
Cross multiply to get;
32 - 2x = 43 - 4x
4x - 2x = 43 - 32
2x = 11
x = 11/2
x = 5.5
Thus;
EF = 43 - 4(5.5)
EF = 43 - 22
EF = 21
Thus, we conclude that the side length EF is 21.
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why many not making the personality of a person?
Answers
Not sure what this means but. I dont know, why dont u ask the person that makes you ask yourself this
For the function f(x)= ab^x, what are the possible values for b if the function is an exponential decay function? (There are two)
a) 2^-1
b) 2-0.9999
c) square root of e
d) square root of 0.9
e) 1.5
Answers
Answer:
c
Step-by-step explanation:
Divide 14x3 − 21x2 − 7x by −7x.
A) −2x2 + 3x + 1
B) −2x2 + 3x − 1
C) −2x3 − 3x2 − x
D) −2x2 + 3x
Answers
Answer:
A
Step-by-step explanation:
simply divide each ter by -7x ..
Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
Answers
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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If 50% of a number is 60, find 5% of that number.
i need it rn
Answers
Answer:
6
Step-by-step explanation:
if something has 60 as it's 50 percent, then 100 percent would be 120
now we have to find 5 percent of 120:
5/100 × 120= 6
Answer:
6
Step-by-step explanation:
The table represents a linear function. What is the slope of the function?
-2 8
-1 2
0 -4
1 -10
2 -16
Answers
The answer is -6., is the slope of the function.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
In order to determine the slope of the function, we have to know about linear function.
In any linear function, we can get its slope using two pairs of coordinates that belong to the linear function.
m=Slope of the linear function.
P1=(x1,y1)=First pair of coordinate.
P2=(x2,y2)=Second pair of coordinate.
In this case, we have many pairs of coordinates, so we choose two of them:
P_1=(-2,8)
P_2=(0,-4)
Then, we replace them in the slope formula:
m = y2-y1/x2-x1
= -6
Finally, the slope of the function is -6.
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A number is a rational number if and only if it can be represented as a terminating decimal.
p: A number is a rational number.
q: A number can be represented as a terminating decimal.
Which represents the converse of this statement? Is the converse true?
The converse of the statement is true.
The converse of the statement is false.
The converse of the statement is sometimes true and sometimes false.
Answers
The converse of the statement "A number is a rational number if and only if it can be represented as a terminating decimal" would be "A number can be represented as a terminating decimal if and only if it is a rational number."
To determine the truth value of the converse, we need to analyze its validity. The converse statement suggests that all numbers that can be represented as terminating decimals are rational numbers, and all rational numbers can be represented as terminating decimals.
However, this converse statement is false. While all rational numbers can be represented as terminating decimals or repeating decimals, not all terminating decimals are rational numbers.
There are numbers, such as irrational numbers like pi (π) or the square root of 2 (√2), that cannot be expressed as terminating decimals but are still real numbers.
Therefore, the correct answer is: The converse of the statement is false.
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I will give Brainliest to First and Correct Answer. Can Somebody please help...I really need help and I am struggling.
When a shape is translated, point A moves to (–1, 8). Where do the other vertices of each shape move to?
Answers
Answer: B' (5,8), C' (3,1)
Step-by-step explanation:
You can use the points A' (-1,8) and A (-2,-3) to find how many units point A was translated.
-2 + 1 = -1
-3 + 11 = 8
Then, you simply add 1 to the x-values of points B and C and 11 to the y-values of points B and C to get B' (5,8), C' (3,1).
I hope this helps!
11.) What is the algebraic representation for a translation of 5 units right and 4 units up?
Answers
Algebraic representation:
\(\frac{4}{5}\)
what's the z-score for the lowest FinalGrade for Freshman
Answers
The z-score for the lowest final grade for a freshmen is given as follows:
Z = -1.83.
How to calculate the z-score?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The parameters for this problem are given as follows:
\(\mu = 74.38, \sigma = 4.445, X = 66.25\)
Hence the z-score for the lowest final grade for a freshmen is obtained as follows:
Z = (66.25 - 74.38)/4.445
Z = -1.83.
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On a coordinate plane, 2 lines intersect at point (negative 1, 2). Which ordered pair is the solution of the system of equations shown in the graph?
Answers
Answer:
C) (-1,2)
Step-by-step explanation:
I got it right on edg 2020
Answer:
(-1,2)
Step-by-step explanation:
edge
Eight friends divide seven bags of apples equally between them. Enter the division represented by this situation as a fraction.
Answers
Answer:
THERE
Step-by-step explanation:
Answer:
Step-by-step explanation:
let's name the bag of apples "\(x\)"
they have 7 bags of apples: 7\(x\)
then they need to divide it among 8 people: so each person gets \(\frac{7x}{5}\) or \(\frac{3}{5} x\)
1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag that lands on the target.
co
9 25
dark blue
What is the probability that it will land on a dark blue square?
26
white
light blue
Answers
The probability of landing on the dark blue target is 2/5.
Finding probabilityProbability is the ratio of required to the total possible outcomes of an event.
The required outcome = dark blue= 25Total possible outcomes= entire sample Space = 100P(dark blue ) = 40/100
divide through by 20
P(dark blue ) = 2/5
Therefore, the probability of landing on target is 2/5
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What does -8/9 × -6/7 really equal
Answers
Answer:
16/21
Step-by-step explanation:
(HELP!!!!!!!!!!!!!!!!!) Vector v has an initial point at (5, 2) and a terminal point at (−15, 10). What is negative one half times vector v?
open angled bracket 10 comma 4 close angled bracket
open angled bracket negative 10 comma negative 4 close angled bracket
open angled bracket negative 10 comma 4 close angled bracket
open angled bracket 10 comma negative 4 close angled bracket
Answers
negative one half times vector v can be represented as \(< 10, -4 > ,\) which is equivalent to the option: open angled bracket negative \(10\) comma 4 close angled bracket. Thus, option B is correct.
What is the negative one half times vector?To obtain the negative one half times vector v, we need to multiply each component of vector v by \(-1/2\) . Given that vector v has an initial point at \((5, 2)\) and a terminal point at \((-15, 10)\) , we can calculate the components of vector v as follows:
x-component of vector v = terminal x-coordinate - initial x-coordinate
\(= -15 - 5\)
\(= -20\)
y-component of vector v = terminal y-coordinate - initial y-coordinate
\(= 10 - 2\)
\(= 8\)
So, vector v can be represented as \(< -20, 8 > .\)
To find negative one half times vector v, we need to multiply each component by \(-1/2\) :
x-component of negative one half times vector \(v = -1/2 \times -20= 10\)
y-component of negative one half times vector \(v = -1/2 \times 8= -4\)
Therefore, negative one half times vector v can be represented as < 10, -4 >, which is equivalent to the option: open angled bracket negative 10 comma 4 close angled bracket.
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Why do we convert from a mixed number to an improper fraction by multiplying the denominator of the fraction by the whole number and then adding the numerator?
Answers
I hope this helps
A mixed number to an improper fraction by multiplying the denominator of the fraction by the whole number and then adding the numerator
What are Mixed Numbers?
A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.
To convert a mixed number to an improper fraction , we need to follow these three steps :
Step 1 : Multiply the whole number by the denominator
Step 2 : Add the answer from Step 1 to the numerator
Step 3 : Write answer from Step 2 over the denominator
Take for example :
Let the number be x = 5 5/9
Step 1 :
Multiply the whole number by the denominator
9 × 5 = 45
Step 2 :
Add the answer from Step 1 to the numerator
45 + 5 = 50
Step 3 :
Write answer from Step 2 over the denominator
50/9
Therefore , the mixed number 5 5/9 is converted to its improper fraction as 50/9
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8 Annexure A RESEARCH TOOL: CAMPAIGN(S) IN THE COMMUNITY Name of a campaign: Position of the interviewee(s) at the Centre: ** Respond to the following questions/statements by placing a tick (✓) where appropriate and also by filling in the spaces below. 1. Does the Campaign pursue it's aims? YES/NO Elaborate
Answers
In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.
The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.
What is a questionnaire?A questionnaire is a research tool used to collect data by presenting a series of questions to respondents,typically in a written format.
Questionnaires are an important research tool as they allow researchers to gather large amounts of data from a large number of participants in a standardized and efficient manner.
They provide a structured approach to collecting information,allowing for easy analysis and comparison of responses.
Questionnaires can be used in various research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.
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HELP ME PLEASE!!!!!!!!!!!!
Answers
1) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
2) The measure of angle A is: ∠A = 39.6°
3) The length of side x is: x = 39.5 mm
How to find the trigonometric ratios?The six trigonometric ratios of a right angle triangle are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
cot x = 1/tan x
sec x = 1/cos x
cosec x = 1/sin x
1) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
2) The measure of angle A is gotten from:
∠A = cos⁻¹ (47/61)
∠A = 39.6°
3) The length of side x using trigonometric ratios is:
21/x = tan 28
x = 21/tan 28
x = 39.5 mm
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The length of a pencil is 7 inches and the width is 1/2 inches. Shawna created a scale factor of the pencil for art class. The model is 35 inches long. What is the width of the model?
Answers
Scaling
The real dimensions of a pencil are:
Length: 7 inches
Width: 1/2 inches
Shawna created a big pencil for the art class whose length is 35 inches.
Comparing the length of both pencils, we can find the scale factor:
\(sc=\frac{model\text{ length}}{real\text{ length}}=\frac{35}{7}=5\)If the model is to be correctly scaled, then the width should be multiplied by the same scale factor, thus:
\(ModelWidth=\frac{1}{2}\cdot5=\frac{5}{2}\)The width of the model pencil should be 5/2 inches or 2.5 inches.
Pat is paid an annual salary of $52,000. Find the Pat's weekly salary. (use only numbers) $
Answers
Answer:
1,000
Step-by-step explanation:
There are 52 weeks per year, therefor
52,000÷52= 1000
The length of a rectangle is 5 cm more than its width. If the perimeter is 58cm, calculate:
(a) Write an equation to show the perimeter of the rectangle ?
(b) calculate:
I.width
II.length
III. the area of the rectangle
Answers
The equation to show the perimeter of the rectangle is P = 2(2w + 5)
Writing an equation to show the perimeter of the rectangleFrom the question, we have the following parameters that can be used in our computation:
Length = 5 more than the width
Also, we have
Perimeter = 58
This means that
P = 2(w + 5 + w)
P = 2(2w + 5)
Calculating the dimensions and the areaIn (a), we have
P = 2(2w + 5)
This gives
2(2w + 5) = 58
So, we have
2w + 5 = 29
2w = 24
w = 12
Next, we have
l = 12 + 5
l = 17
Lastly, we have
Area = 17 * 12
Area = 204
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What is the equation of the parabola shown in the graph?
Answers
Answer:
\(-\frac{x^{2} }{4}\) -2x - 7
Step-by-step explanation:
Never seen a phone with 3 cameras before or something but ok.
Took a while to use brainly's insert character thingie since fractions and the exponent kinda threw me off.
Which of the following statements are true?
f(x)
g(x)
Answers
B
Step-by-step explanation:
because the figure is based on the graphic law
An average human heart beats 60 times per minute. If an average person lives to the age of 75, how many times does the average heartbeat in a lifetime?
There should be ( ) heartbeats per lifetime.
(Enter your answer as a decimal number. Round to two decimal places.)
Answers
Answer:
The average number of beats in a lifetime would be 2,365,200,000
Step-by-step explanation:
To find the amount we need to take basic steps. The first step is multiplying the number of beats to find out how many are in an hour. Since there are 60 in a minute and 60 minutes in an hour, multiply the two.
60 beats * 60 minutes = 3,600 beats per hour.
Now multiply the amount of beats in an hour by the number of hours in a day.
3,600 * 24 hours = 86,400 beats per day
Now multiply the number of days in a year. Technically there is 365 1/4 in a year, but we'll use the flat rate of 365 since that is generally the accepted answer.
86,400 * 365 days = 31,536,000 beats per year
And now we take that number and multiply by the number of years that he lines
31,536,000 * 75 years = 2,365,200,00 beats in a lifetime
The heart beats 236,520, 000 times in a lifetime.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
An average human heart beats 60 times per minute.
Now, the amount of beats in an hour by the number of hours in a day.
= 3,600 x 24 hours
= 86,400 beats per day
Again, the amount of beats per year
= 86,400 x 365 days
= 31,536,000 beats per year
So, the heart beats
= 31,536,000 x 75 years
= 236,520, 000 beats in a lifetime
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a circle has a circumerence of 6 and an arc with a 60 degree central angle. what is the length of the arc
Answers
The length of the arc is 1 unit.
What is length of an arc?The distance that runs through the curved line of the circle making up the arc is known as the arc length.
length of an arc is expressed as;
l = tetha/360 ×2πr
the circumference of circle is expressed as ;
C = 2πr
6 = 2×3.14 × r
r = 6/6.28
r = 0.955 units
Therefore length of the arc
= 60/360 × 6
since 2πr is the circumference,
l = 360/360 = 1 unit
therefore the length of the arc is 1 unit.
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What is the inverse function of f(x) = x
Answers
Answer:
y = x
Step-by-step explanation:
The inverse of f(x) = x is just y = x.
A frequency table for the 60 best batting averages from a baseball league is
shown below. Which of the following histograms best represents the data in
the table?
Answers
The correct answer is Graph B
Explanation:
The purpose of histograms is to display visually the frequency of a variable. Additionally, a higher bar represents a higher frequency.
According to this, the correct histogram is graph B because in this the frequencies for each batting average are displayed correctly. For example, the highest bar is related to the average 0.330-0.339, which has the highest frequency (28), this is followed in height by the bar that represents a frequency of 24 and is related to the average 0.340-0.349.
At the same time, the averages 0.320-0.329 and 0.360-0.369 that have a frequency of 2 are represented through the shortest bars, while the average 0.350-0.359 with a frequency of 4 is related to a bar with exactly the double of heigh than those with a frequency of 2.
Answer:
graph B
Step-by-step explanation:
what happened to your screen