Answer:
92°24°64°35°81°Step-by-step explanation:
You want the measures of 5 marked angles in the figure showing two transversals crossing parallel lines.
Angle 1Angle 1 forms a linear pair with the angle marked 88°, so is supplementary to it.
Angle 1 = 180° -88°
Angle 1 = 92°
Angle 3Angle 3 is a corresponding angle to the one marked 64° where the horizontal transversal crosses the parallel lines. Corresponding angles are congruent.
Angle 3 = 64°
Angle 2Angles 2 and 3 are "remote interior angles" with respect to the exterior angle marked 88°. Hence their sum is 88°.
Angle 2 = 88° -Angle 3 = 88° -64°
Angle 2 = 24°
Angle 4Angles 3, 4, and 81° combine to form a straight angle of 180°.
Angle 4 = 180° -64° -81°
Angle 4 = 35°
Angle 5Angle 5 is an alternate interior angle with respect to the one marked 81° where the downward-sloping transversal crosses the parallel lines. Alternate interior angles are congruent.
Angle 5 = 81°
Convert 3/5 into a fraction with. Denominator of 15
Question↓
Convert 3/5 into a fraction with. Denominator of 15?
Answer:↓
The Answer Would Be 9/15
The Only way to get a denominator of 5 to 15 Is Multiplying It By 3 and since we multiply the denominator we have to multiply the Numerator.
xXxAnimexXx
Hope this Helps! ^ω^
Answer:
\(\frac{9}{15}\)
Step-by-step explanation:
To obtain a denominator of 15 requires the denominator and numerator to be multiplied by 3
\(\frac{3}{5}\) = \(\frac{3(3)}{5(3)}\) = \(\frac{9}{15}\)
Evander Holyfield (the champion boxer who had part of his ear bitten off by Mike Tyson) made $290 million during his boxing career but declared bankruptcy because of poor financial choices. His July interest at 18% was $248. What was Evander’s principal at the beginning of July? (Use 360 days a year. Do not round intermediate calculations. Round your final answer to the nearest whole dollar.)
Evander's principal at the beginning of July was approximately $16,533. Rounded to the nearest whole dollar, this is $16,533.
How do we calculate?Applying the formula for simple interest:
Interest = Principal x Rate x Time
Here, we know the interest ($248), the rate (18%), and the time (1/12 of a year for one month, since we're using a 360-day year).
Let the principal = "P":
$248 = P x 0.18 x (1/12)
$248 = P x 0.015
P = $248 / 0.015
P ≈ $16,533.33
Simple interest is described as an interest charge that borrowers pay lenders for a loan.
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100 points will mark brainliest
Answer:
A is the answer
Step-by-step explanation:
if its wrong than its C
342000000 in scientific notation
Answer : 3.42 x 107 is the correct answer
Explanation: I had this question on a test and got this answer and it was the correct answer.
More than two-thirds of undergraduate students who graduated with a bachelor's degree had student loan debt. The average student loan debt among these graduating seniors was $28,654. The average interest rate on student loans was 6.1%. How much interest did a student with $28,654 in student loan debt pay in the first year? Round to the nearest cent.
The interest paid for the loan is $1748
Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,
We need to find the interest paid for the same.
So,
Simple Interest = principal × time × rate / 100
= 28654 × 1 × 6.1 / 100
= 28654 × 0.061
= 1747.894
= 1748
Hence the interest paid for the loan is $1748
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EASY QUESTION WILL GIVE BRAINLIEST
Sally can paint a room in 6 hours while it takes Steve 5 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
2.727 or 2 8/11
Step-by-step explanation:
5 * 6 / (5 + 6) =
30/11
= 2.72727273 or 2 8/11
Let T: R2→R2 be the linear transformation that first rotates points clockwise through 30∘ and then reflects points through the line y=x. Find the standard matrix A for T.
A = ?
The standard matrix A is [ (1/2, √3/2) (√3/2, -1/2) ]
To find the standard matrix of a linear transformation, we need to find the images of the standard basis vectors under the transformation.
The standard basis vectors in R2 are (1,0) and (0,1). Let's find their images under T.
The image of (1,0) under a 30∘ clockwise rotation is (√3/2, 1/2). The image of this under reflection through the line y=x is (1/2, √3/2).
The image of (0,1) under a 30∘ clockwise rotation is (-1/2, √3/2). The image of this under reflection through the line y=x is (√3/2, -1/2).
The standard matrix of T is then the matrix whose columns are the images of the standard basis vectors:
A = [ (1/2, √3/2) (√3/2, -1/2) ]
= \(\left[\begin{array}{cc}1/2&\sqrt{3} /2\\\sqrt{3} /2&-1/2\end{array}\right]\)
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Each week, Carlos put $2.00 in a jar. He used $10.00 to buy a new game and now has $62.00. Which equation can be used to find the number of weeks, w, Carlos has been saving his money?
A. 2w + 10 = 62
B. 2 + 10w = 62
C. 2w - 10 = 62
D. 2 - 10w = 62
Answer:
c
Step-by-step explanation:
the variable is the $2 each week he will be getting more, subtract the 10 because it's only a one time things, don't know how to explain it but it's c
determine whether the following procedure results in a binomial distribution or a distribution that can be treated as binomial (by applying the 5% guideline for cumbersome calculations). If it is not binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied.
Treating 20 bald men with a special shampoo and recording how they say their scalp feels
Choose the correct answer below.
A. It is binomial or can be treated as binomial.
B. It is not binomial because the probability of success does not remain the same in all trials.
C. It is not binomial because there are more than two possible outcomes.
D. It is not binomial because there are more than two possible outcomes and the trials are not independent.
The given procedure results as not binomial and cannot be treated as binomial. It is not binomial because the probability of success does not remain the same in all trials. The correct answer is option B.
What is binomial distribution?Binomial distribution compiles the number of trials, or observations when each trial has the same probability of attaining one particular value. Binomial distribution controls the probability of observing a specified number of successful outcomes in a specified number of trials.
In a binomial distribution, the probability of getting a success have to remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is half or 0.5 for every trial we conduct, because there are only two possible outcomes.
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A game has these letter tiles in a bag. There are 10 vowels and 21 consonants. What is the likelihood of randomly selecting a vowel from the bag?
A. certain
B. likely
C. impossible
D. not likely
By Probability, 10/31 is the likelihood of randomly selecting a vowel from the bag. Option D is correct .
What are examples and probability?
Probability is a measure of how likely or likely-possible something is to happen. For instance, there is a 1 in 2 chance of receiving a head when flipping a coin, and there are 2 potential outcomes overall (a head or tail). P(heads) = 12 is what we write.
The estimation of a result or the likelihood that an event will ever occur is known as probability. The likelihood of having to pay out a claim is calculated by insurance firms using probability statistics.
Since you have more consonants, it is more likely that one of those will be chosen, but a vowel could still be chosen.
total letters = 31
the probability = 10/10 + 21
= 10/31
Therefore, not likely is the likelihood of randomly selecting a vowel from the bag.
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Complete each statement. If the triangles cannot be shown to be congruent from the information given, leave the triangle's name blank and write Can not be Determined (CNBD) in the spot for rule.
By rule ________ ∆SAT ≅ Δ____ By rule ________
The completed statement that specifies the rule of congruency between triangle ΔSAT and triangle ΔSAO, is as follows;
ΔSAT ≅ ΔSAO by SAA rule.
What are congruent triangles?Two triangles, ΔA and ΔB are congruent if the three lengths of the sides of triangle ΔA are congruent to the three side lengths of triangle ΔB.
The possible dimensions of the triangles, obtained from the triangle diagrams in a similar question on the site are;
Side ST in triangle ΔSAT is congruent to side SO in triangle ΔSAO
Angle ∠AST in triangle ΔSAT is congruent to angle ∠ASO in triangle ΔSAO
Side SA is congruent to side SA by reflexive property of congruency
Therefore, a side, (ST) an included angle (∠AST) and another side (SA), in triangle ΔSAT are congruent to a side (SO), an included angle (∠ASO), and another side SA in triangle ΔSAO
Therefore, triangle ΔSAT is congruent to triangle ΔASO, by Side-Angle-Side, SAS, congruency ruleLearn more about the triangle congruency rules here:
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The graph of f(x)=x2 was transformed to create the graph of g(x)=−f(x−1)+2 Which is the graph of g ?
Please help, will give brainliest! :)
Answer:
the answer is 2>am sorry if wrong
A forest covers 57,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
228
Step-by-step explanation:
0.4% = 0.004
0.004 x 57000 = 228
55. Given that 1 ≤m≤ 4, 4≤ n ≤ 6, and 8 ≤p ≤ 10, what is
the greatest possible value for () ()?
3
A.
20
B. 15
c. 30
10
D. TO
10
E.
- -
118
Answer:
a 20
Step-by-step explanation:
please help!
The equation of line AG is y=(b/a+c)x. The midpoint of BC is (a+c,b). Does the midpoint of BC lie on AG? Why or why not?
•no because (b/a+c)b does not equal a+c
•no because (b/a+c)(a+c) does not equal b
•yes because (b/a+c)b=a+c
•yes because (b/a+c)(a+c)=b
I hope it will help you....
Answer:
yes, because (b/a+c)(a+c)=b
Step-by-step explanation:
4th option
Eliminate the parameter for the following set of parametric equations: x= t + 6 y= 3t – 1
Answer:
Solution : Option A
Step-by-step explanation:
What we want to do here is eliminate the parameter t. In order to do that, we can isolate t in our first equation x = t + 6 ----- ( 1 ) and then plug that value for t in the second equation y = 3t - 1. Our solution will be an equation that is not present with t.
( 1 ) x = t + 6, t = x - 6
( 2 ) y = 3( x - 6 ) - 1 ( Distribute the " 3 " in 3( x - 6 ) )
y = 3x - 18 - 1 ( Combine like terms )
y = 3x - 19
As you can see our result will be option a, y = 3x - 19.
In which month was the average number of hours worked by the website designers closest to 50 hours
- January
- February
- March
- April
The correct answer is March, as it was the month in which the average number of hours worked by the website designers was closest to 50 hours.
What is a month?A month is a unit of time typically consisting of 30 or 31 days. It is used for measuring periods of time, for example, when we say something happened "a month ago". Months are used in both the Gregorian calendar and the Julian calendar.
This data was gathered from a survey of website designers, which was conducted to determine the average number of hours each month that these professionals spent working.
In January, the average number of hours worked was 46.5. In February, it was 48.8. However, in March, the average number of hours worked was 49.4, which was the closest to 50 hours. This was followed by April, in which the average was 49.7.
Overall, it can be concluded that March was the month in which the average number of hours worked by website designers was closest to 50 hours. This is important data for website designers, as it allows them to understand the amount of time they should be spending on their work in order to be successful. It also helps employers gauge the workload of their website designers and ensure they are providing an adequate amount of work.
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A nation can produce two products: tanks and autos. The table below is the nation's production possibilities schedule.
Production Possibilities
Product
Tanks
The total opportunity cost of three unit(s) of tanks is
A
0
1000
B
1
950
C
2
850
D
3
650
E
4
350
F
5
0
Using the it's formula, the total opportunity cost of three unit(s) of tanks is of 350 autos.
What is the opportunity cost formula?The opportunity cost formula is given by:
C = F - A.
In which:
F is the best return.A is the actual return.For this problem, we have that:
When no tanks are produced, 1000 autos can be produced, hence F = 1000.When 3 tanks are produced, 650 autos can be produced, hence F = 650.Thus:
F = 1000 - 650 = 350.
The total opportunity cost of three unit(s) of tanks is of 350 autos.
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this is for the girls. do u girls find it attractive when boys wear short shorts with crocs. also what do we wear for the top to make it even more attractive.
depends on what you mean by short shorts cuz if they're too short no thanks but when they're like above your knees we like that ahahha. and ya crocs are chill that would be a good outfit for like getting icecream ya feel. for the top i would say a hoodie cause every girl loves hoodies but if you wanted something else i would say a flannel or just a skater tshirt and maybe a cross earring or some necklaces and some rings if u want. honestly just be your goofy self and we love you, just be more confident in yourself and don't be afraid to ask us out because we're rly shy with that stuff well at least i am.
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?
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
Select all ratios that are in their simplest form,
A=21:7
B=25:19
C=23:7
D=16:4
E=24:26
Answer:
B and C
Just see if there is any number that can divide both top and bottom
If there isnt, its in simplest form
A person has a bag containing dimes and nickels. There are a total of 106 coins in the bag, and the total value of coins is $7.90. How many dimes and nickels are in the bag?
Answer:
52 dimes and 54 nickels
Step-by-step explanation: 52 dimes is $5.20 and 54 nickels is $2.70
Total coins 106 total $7.90
From 1985 to 2003, the total attendance A (in thousands) at NCAA women’s basketball games can be modeled by =−1.95^3 +70.1x^2 −188+2150 where x is the number of years since 1985.
a. What is the initial value of this function (the attendance in 1985)?
b. Find the attendance for the year 1998.
Answer:
21507269Step-by-step explanation:
We assume your intended attendance equation is ...
A = -1.95x^3 +70.1x^2 -188x +2150
a. For x=0 (corresponding to 1985), the first three terms are 0, so we have ...
A = 2150 . . . . the initial value of the function
__
b. For x=13 (corresponding to 1985) we have ...
A = ((-1.95(13) +70.1)(13) -188)(13) +2150 = (44.75(13) -188)(13) +2150
= 393.75(13) +2150 = 7268.75
Attendance in the year 1998 is modeled to be about 7269.
Identify the terms in the expression. Separate your terms with a comma.
−12a−4b+9−3a
Scott needs to mail a usb drive to a friend. He uses 45-cent stamps and 7-cent stamps to pay $1.98 in postage. How many of each stamp did Scott use?
The total number of stamps used is z, then we have:
38x + 7z = 198
Let's solve this problem using a system of equations. Let's assume Scott used x 45-cent stamps and y 7-cent stamps.
The value of x 45-cent stamps is 45x cents.
The value of y 7-cent stamps is 7y cents.
According to the problem, Scott used a total of $1.98 in postage, which is equal to 198 cents.
So we can set up the following equation based on the value of the stamps used:
45x + 7y = 198 ...(Equation 1)
We also know that Scott used a total of x + y stamps.
We can set up another equation based on the total number of stamps used:
x + y = Total Number of Stamps ...(Equation 2)
We need to solve this system of equations to find the values of x and y.
From Equation 2, we can rewrite it as:
y = Total Number of Stamps - x
Substituting this into Equation 1:
45x + 7(Total Number of Stamps - x) = 198
45x + 7Total Number of Stamps - 7x = 198
38x + 7Total Number of Stamps = 198
Let's assume the total number of stamps used is z, then we have:
38x + 7z = 198 ...(Equation 3)
Now, we need more information to solve the system of equations. We need to know the total number of stamps used or the values of x and y.
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Round to the nearest tenth, then find the sum. 35.26 + 8.32 + 6.78 i will give 12 points pleas help me in in a test
Answer:
Step-by-step explanation:
35.26 rounded to 35.3
8.32 rounded to 8.3
6.78 rounded to 6.8
35.3 + 8.3 = 43.6
43.6 + 6.8 = 50.4
The answer is 50.4.
39.26 rounds to 35.3
8.32 rounds to 8.3
6.78 rounds to 6.8
When you add them together, you get 50.4.
find the value of 2x+y when X =4al and y = 3
The value of 2x+y when X =4al and y = 3 is 8al + 3
How to find the value of of 2x+y when X =4al and y = 3to find the value of of 2x+y
If X = 4al and y = 3, then:
2x + y = 2(4al) + 3
Simplifying the expression:
2x + y = 8al + 3
Therefore, the value of 2x+y is 8al+3.
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Use the diagram to complete the statements about how to prove the cosine sum identity. A unit circle. Point P is on the circle on the x-axis at (1, 0). Point S is in quadrant 4 on (cosine (negative beta), sine (negative beta) ). Point Q is in quadrant 1 above point P at (cosine (alpha), sine (alpha) ). Point R is above point Q at (cosine (alpha + beta), sine (alpha + beta) ). Triangles AOC and BOD are congruent by SAS. Therefore, and these lengths can be found using the . Because this is the unit circle, the coordinates of points A, B, and D are equal to cosine and sine of Alpha + Beta , Alpha, and –β, respectively. Write expressions for the lengths and set them equal. Rewrite cos(-Beta) and sin(-Beta) using the identities before squaring both sides of the equation. Simplifying the resulting expressions involving cosine and sine of Alpha, Beta, and Alpha + Beta requires using the identity. When simplified, the equation becomes cos(Alpha + Beta) = cos(Alpha)cos(Beta) - sin(Alpha)sin(Beta).
Answer:
AC=BD
distance formula
Pythagorean identity
Step-by-step explanation:
just did it on edge
Answer:
Step-by-step explanation:
Melissa wants to re-sod her yard (replace the grass). Her backyard has a rectangular lawn area that measures 24.5 feet by 18 feet. Her front yard has two rectangular areas, one of which measures 18.5 feet by 14.5 feet. The other measures 12.5 feet by 14.5 feet. How many square feet of sod does Melissaneed? She needs
Answer:
Melissaneed need 890.5 ft² of sod.
Step-by-step explanation:
rectangular lawn area = length * widthtotal area: ( 24.5 * 18 ) + ( 18.5 * 14.5) + ( 12.5 * 14.5)
: 890.5 ft² of sod