Answers
Firstly, the sum of all angles in a triangle is equal to 180.
Secondly, supplementary angles are two angles that form a straight line. In other words, the two lines sum up to 180 degrees.
Looking at your figure and the rules written above, you can then assume that the measure of angle x is equal to the sum of the two angles given inside the triangle.
53 + 45 = 98
Angle x is 98 degrees
Related Questions
9 × 1/5 is the answer greater than or less than 9 and why
Answers
The product of 9 multiplied by 1/5 is 1.8, which is less than 9 because multiplying by a fraction between 0 and 1 reduces the original number.
To find the answer, you simply multiply 9 by 1/5. When you multiply a whole number by a fraction less than 1, the product is always less than the original whole number because you are taking a part of it. So, 9 × 1/5 equals 9/5 or 1.8, which is definitely less than 9.
In mathematics, when you multiply a number by a fraction between 0 and 1, the result will be smaller than the original number. This is similar to taking a part of something. On the other hand, when you multiply a number by a fraction greater than 1 or by a whole number greater than 1, the result is greater than the original number because you are effectively adding the number to itself multiple times.
Which image represents the first step in constructing the copy of a line segment?
Answers
We have then that the first step is:
Opening of the compass from P to Q to measure the length of the PQ line.
Answer:
An image that represents the first step in constructing the copy of a line segment is:
option 1
The quadrilateral with the following vertices is a ______. (-6, -2), (4, -2), (2, -5), (-7, -5) parallelogram rectangle trapezoid square
Answers
Addison bought 5/6 yard of ribbon. She used 1/4 yard of ribbon to decorate her scrapbook. How much ribbon did she have left after decorating the scrapbook?
Answers
5/6 = 10/12
1/4 = 3/12
10/12 - 3/12 = 7/12
5/6 - 1/4
12 is the LCM of 6 and 4
10/12 -3/12= 7/12
She is left with 7/12 yard of ribbon
3600 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the nearest cent
Answers
Using the compound interest formula, the future value of $3600 placed in an account with a 9% annual interest rate after 25 years will be approximately $31042.80.
Calculate the Future Value with Compound Interest
To determine how much will be in the account after 25 years with an annual interest rate of 9%, we will use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the amount of money accumulated after n years, including interest.P = principal amount (the initial amount of money) = $3600.r = annual interest rate (decimal) = 0.09.n = number of times the interest is compounded per year = 1 (compounded annually).t = number of years the money is invested or borrowed for = 25.Step by step solution
Substitute the given values into the formula:
[tex]A = 3600 \times (1 + 0.09/1)^(1 \times 25)[/tex]
Simplify the expression inside the parentheses:
[tex]A = 3600 \times (1 + 0.09)[/tex]
Calculate (1 + 0.09) = 1.09.
[tex]A = 3600 \times (1.09)^{25}[/tex]
Raise 1.09 to the power of 25:
[tex]A \approx 3600 \times 8.623[/tex]
Multiply 3600 by 8.623:
[tex]A \approx 3600 \times 8.623 = 31042.80[/tex]
After 25 years, there will be approximately $31042.80 in the account.
How many of these sequences have a common different of -4?
-19, -15, -11, -7, -3, ...
19, 15, 11, 7, 3, ...
3, 7, 11, 15, 19, ...
-3, 7, -11, 15, -19, ...
0
1
2
3
Answers
1 sequence
_____
Common differences are 4, -4, 4, (no common difference).
If ab = 20 cm and bc = 4 cm, then what are the possible lengths for ac so that ab, bc and ac can form a triangle?
Answers
If it is less than 16 it will not form a triangle and if it is more than 24 the other two legs will not be larger than ac is.
Solve each multiplication problem, use the cancellation method if possible, and reduce your answers.
a. 39⁄64 × 8⁄13
b. × 1⁄5 × 4⁄7
c. 3⁄5 × 10⁄12 × 1⁄2
d. 4⁄9 × 54
e. 20 × 3 1⁄5
f. 11 × 2 7⁄11
g. 5 1⁄3 × 5 1⁄8
h2⁄3. 10 2⁄3 × 1 3⁄8
Answers
b. 8/105
c. 1/4
d. 24
e. 64
f. 29
g. 27 1/3
h. 14 2/3
Where in the bible is there an indication of the value of pi what was the approximate value?
Answers
He also melted a sea of ten cubits from one side to the other, perfectly round; Its height was five cubits, and a cord of thirty cubits encircled it.
These are a list of specifications for the great temple of King Solomon, built about 950 BCE, and his interest here is that it gives a value of π = 3. If we divide 30 cubits between 10 cubits (which are the measures mentioned in written radical) gives us exactly 3.
We know that the length of the circumference is calculated l = 2 · π · r; Since 2 · r is the diameter, it can also be said that
circumference = diameter × π
If we go back to what the Bible says, the diameter is 5 meters and the circumference of 15:
circumference = diameter × π -> 15 = 5 × π
with which the value of π is 3.
This calculation of Pi is a bad approximation to the real value. The figure of 3 in the Bible compared with the real one which is 3.1416 ... indicates an error of about 6%.
mafaaaaaaaaaaaaaaaaaaaaaaaa
Answers
_____
-3 ≤ n ≤ 4
Add [tex]2[/tex] to your sides
Like: [tex]-1 + -2 \leq n +2 + -2 \leq 6 + -2 \\ Answer: -3 \leq n \leq 4 (C) [/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
How do you find the range of a rational function with a slant asymptote?
Answers
To find the range of a rational function with a slant asymptote, you first find the asymptote by long division. Then by examining the behavior of the function near the vertical asymptotes by plugging in values, you determine the limits of the range. Generally, the range is all real numbers except where interrupted by the asymptotes.
Explanation:To find the range of a rational function with a slant asymptote, you need to first find the slant asymptote by dividing the numerator by the denominator using long division. When you perform the division, if the degree of the numerator is one more than the degree of the denominator, then the quotient (excluding the remainder) will be the equation for the slant asymptote.
Next, you need to explore the behavior of the function on the left and right of the vertical asymptotes, this is done by substituting values just to the left and right of each vertical asymptote into the function and observing the outputs.
If the function approaches negative infinity, the lower limit of the range will be negative infinity. If the function approaches positive infinity, the upper limit of the range will be positive infinity.
So, the range of the function is typically all real numbers except for the values that are 'cut out' by the asymptotes.
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To determine the range of a rational function with a slant asymptote, graph the function, analyze for vertical and horizontal asymptotes, discontinuities, and observe its long-term behavior relative to the slant asymptote. The range typically includes all real numbers except for values excluded due to vertical asymptotes or holes.
Explanation:To find the range of a rational function with a slant asymptote, follow these steps:
Graph the rational function to observe its behavior and identify the slant asymptote.Analyze the graph to see where the function's output values (y-values) lie as the input (x-values) become very large or very small.Identify any horizontal or vertical asymptotes, as these will also affect the range.Look for any discontinuities such as holes or vertical asymptotes that might create gaps in the range.Combine all this information to determine the set of all possible y-values the function can attain, remembering that the function will approach but not touch the slant asymptote.Considering the slant asymptote, the function will continue to increase or decrease without bound in at least one direction, unless there is another horizontal asymptote. Therefore, the range can often be all real numbers, except possibly excluding specific values or intervals due to vertical asymptotes or holes.
Find the area of the shaded parts
Answers
Red: 1/2(4×1) + 1/2 + 1 + 1/2 + 1/2 + 1×4 = 2+2+4.5 = 8.5 sq. units
Purple: 1/2(2×1) + 1/2 +1 + 1×4 + 1/2(2×4) + 1/2(1×4) = 1+1+4+4+2 = 12 sq. units
Ken has 8 pennies. ron has 3 pennies. howmany fewer pennies does ron have than ken?
Answers
= 8 pennies-3 pennies
2. Then, the result is:
=5 pennies
How many fewer pennies does ron have than ken?
The answer is the following: Ron has 5 pennies fewer than Ken.
Jack bought a new set of golf clubs for $186.75. The original price was $249. What percent of the original price did he pay?
Answers
$249-186.5 = 62.25
25% of 249 = 62.25
249- 62.25 = $186.25
Answer:
75% is the percent of which jack payed
Step-by-step explanation:
You can find this out by googling it, or even just using the elimination too. Right away 25% sounded way too low and if you look it up it says that its $68
instead of $186.75. And it can't be any higher than 100% because 186.75 is lower than 249, so that means that 75% is the only reasonable answer
The side lengths for \thetaθ are opposite = 8, adjacent = 6, hypotenuse = 10.
Answers
well one one angle is cos⁻¹∅=8/10 = cos⁻₁=0.8= 36.9
and the other angle is sin⁻¹∅=53.1
a jumbo tablet in the shape of a rectangle has a perimeter of 50 inches. The tablet is 7 inches less wide than it is long. find the length and width of the tablet. help plzz
Answers
lets name the length as x
as stated in the question, width is 7 less than the length
therefore length is --> x-7
perimeter = 2*(length) + 2(width)
substituting length and width
perimeter = 2x +2(x-7)
as the perimeter given is 50 inches
70 = 2x + 2x - 14
4x = 84
x = 21 inches
length of tablet - 21 inches
width of tablet - 14 inches
Answer:
Length = 16 inches and width = 9 inches
Step-by-step explanation:
The perimeter of a rectangle table = 50 inches
Rectangle table has equal sides of length and equal sides of width.
Let the length of the table be x.
It is given in the question that the table is 7 inches less wide than it is long.
So width of the table = x - 7
Perimeter = 2(length) + 2(width)
Perimeter = 2(x) + 2(x-7) = 50
= 2x + (2)(x) + (2)(-7) = 50
= 2x + 2x + (-14) = 50
= 4x -14 = 50
= 4x = 64
x = 16
Length = 16 inch Width = 16 - 7 = 9 inches
perimeter = 2(16) + 2(9) = 50 inches
#14) PLEASE HELP WITH QUESTION!!!!
MARKING BRAINLIEST + POINTS
Answers
[tex]x = r \cos(theta) [/tex]
[tex]y = \sin(theta) [/tex]
and the polar coordinates are in the form
note: the dot is a substitute for the comma
[tex](r.theta)[/tex]
so to find our coordinates we just need to plug our values of theta in
[tex]x = \cos( \frac{2\pi}{3} ) [/tex]
[tex]y = \sin( \frac{2\pi}{3} ) [/tex]
simplify and we get this as our final answer
[tex]( \frac{ - 1}{2} . \frac{ \sqrt{3} }{2} )[/tex]
A courier worked 39 hours and earned $429, which included some compensation for paid time off. If his true hourly wage is $3 per hour more than the pay rate shown on his pay stub, what rate is shown on his pay stub?
Hint: The true hourly wage is the earnings on the pay stub divided by the hours worked.
A. $17 per hour
B. $8 per hour
C. $13 per hour
D. $11 per hour
Answers
Hope this helps.
Answer:
Option B is correct.
Step-by-step explanation:
Number of hours A courier worked = 39
Money a courier earned = $ 429
⇒ Hourly Wage of the courier = [tex]\frac{429}{39}[/tex]
= $ 11 per hour
Let x be the rate shown on his pay stub.
According tot he Question,
x + 3 = 11
x = 11 - 3
x = 8
Therefor, Option B is correct.
The length of a rectangle is 3 more than twice its width. the perimeter is 48 feet. what is the length and width of this rectangle?
Answers
45 divided by 6 = 7.5
That means that the width is 7.5 and the length is 18. Hope it helps! :)
What expressions are equivalent to In(e^5)
A. 1 B. 5 C. 5e D. 5•In e
Answers
"If you share 7 apples equally with 3 people, then there are 2 1 3 ..." First, complete the sentence. Then, briefly explain what the whole number 2, the denominator 3, and the numerator 1 mean in this problem.
Answers
Fraction represents the quotient of two integers
Sharing 7 apples equally with 3 people means that:
[tex]\frac 73 = 2\frac 13[/tex]
In the above equation;
The whole number 2 means that, each person gets 2 apples
The numerator 1 means that, 1 apple is left after each person gets 2 apples
The denominator 3 represents the number of people that shared the apple
Read more about fraction division at:
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If you add 0.43 to a certain number then subtract 0.58 from the result and then another 4.04, you’ll get 30.3. What is the certain number?
Answers
30.3 + 4.04 = 34.34
34.34 + 0.58 = 34.92
34.92 - 0.43 = 34.49
Your answer is 34.49.
Hope this helps!
Answer:
34.49.
Step-by-step explanation:
Which of the following groups listed below are subsets of the integers?
Real Numbers
Natural Numbers
Irrational Numbers
Rational Numbers
Whole Numbers
Answers
Which expression can be used to find the slope of a line containing the points (–3, 2) and (7, –1)?
mc003-4.jpg,
Answers
Answer:
[tex]m=\frac{-1-2}{7+3}[/tex]
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]A(-3,2)\ B(7,-1)[/tex]
Substitute the values
[tex]m=\frac{-1-2}{7+3}[/tex]
[tex]m=\frac{-3}{10}=-0.3[/tex]
jean and mark are going to fill a pool with 2 different sized hoses. Jean can fill the pool in 8 hours, while Mark can complete it in 12 hours. Their supervisor thinks that the job will take 10 hours to complete if they work together. Explain each step in solving the equation, and determine if the supervisor is correct or not.
Answers
Calculate Jean's rate
----------------------------------------------
Jean takes 8 hours to fill the pool.
So in 1 hour, she can fill 1/8 of the pool
----------------------------------------------
Calculate Mark's rate
----------------------------------------------
Mark takes 12 hours to fill the pool.
So in 1 hour, he can fill 1/12 of the pool.
----------------------------------------------
Calculate their rate if they work together
----------------------------------------------
Jean = 1/8
Mark = 1/12
1/8 + 1/12 = 3/24 + 2/24 = 5/24
They will fill 5/24 of the pool in 1 hour
----------------------------------------------
Find number of hours needed to fill up the pool
----------------------------------------------
I hour = 5/24 of the pool
1 ÷ 5/24 hour = 5/24 ÷ 5/24 of the pool
24/5 hour = Whole pool
Whole pool = 24/5 hours
Whole pool = 4 4/5 hours or 4.8 hours
----------------------------------------------
Ans: The supervisor is not correct, it will take only 4.8 hours if both of them work together.
----------------------------------------------
The number of hours to complete the work together is 4.8 hours.
No, the supervisor is not correct.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
Jean:
Time taken to fill the pool =8 hours
In one hour, 1/8 of the work is done.
Mark:
Time taken to fill the pool = 12 hours.
In one hour, 1/12 of the work is done.
Now,
Together the time is taken to complete the work.
1/8 + 1/12 = (3 + 2)/24
1/8 + 1/12 = 5/24
This can be written as,
1/8 + 1/12 = 1/(24/5)
This means,
The time taken to complete the work together.
= 24/5
= 4.8 hours.
Thus,
The time taken to complete the work together is 4.8 hours.
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Velvet fabric costs $1.1.49 a yard. Yvette buys 9.3 yards. Yvette's estimated cost of the velvet is
Answers
Answer: $99
Step-by-step explanation:
Yvette's estimated cost for buying 9.3 yards of velvet fabric at $11.49 per yard is approximately $106.86. This is calculated by multiplying the price per yard with the number of yards. An initial rough estimate of $103.50 was also considered before doing a precise calculation.
To calculate the estimated cost of the velvet fabric Yvette buys, you need to multiply the price per yard by the number of yards:
Price per yard = $11.49
Number of yards = 9.3
Estimated cost = $11.49 × 9.3
Let's break it down step-by-step:
First, estimate the two numbers. $11.49 is close to $11.50, and 9.3 is close to 9. Then, multiply: 11.50 × 9 = $103.50.Now calculate more precisely: 11.49 × 9.3 = 106.857 but rounded to two decimal points, it's $106.86.So, Yvette's estimated cost of the fabric is approximately $106.86.
These are the values in Ariel’s data set. (1, 67), (3, 88), (5,97), (6, 101), (8, 115) Ariel determines the equation of a linear regression line to be yˆ=6.5x+63.8 . Use the point tool to graph the residual plot for the data set. Round residuals to the nearest unit as needed.
Answers
A residual is the difference between the predicted value and the actual value. You are given an equation that will make the predictions for you.
Input in the first number of your pairs to find the predicted output. Then, subtract that from the actual value.
Here is the work for the first point:
6.5(1) + 63.8 = 70.3
70.3 - 67 = 3.3
The residual at x = 1 is 3.3.
Answer:
Correct answers below. :)
Step-by-step explanation:
Hope this helps! Have a good day!
Probabilities where the focus is on just one group of objects and a random sample is taken from that group alone are called what? choose the correct answer below. mutually exclusive probabilities categorical probabilities conditional probabilities random probabilities
Answers
The easy why to think of this is the word category. In this case, we are looking at individual categories of probabilities. The rest of the choices involved dealing with multiple events and samples.
Find the product of the complex numbers. Express your answer in trigonometric form.
z1=5(cos(pi/2)+i sin(pi/2))
z2=2(cos(5pi/6)+i sin(5pi/6)),
Answers
Scott received $88.50 from a customer whose meal bill was $75. What percent tip did Scott receive? A. 12% B. 15% C. 18% D. 20%
Answers
88.50 - 75.00 = 13.50
Now find the percentage 13.5 is of 75
13.5/75 x 100 = 18% (C)