Answer:
B
Step-by-step explanation:
Congruent angles are angles that have the same measure. This is the primary condition that they satisfy. The sum of their measures being 90° or sharing a vertex and a side don’t necessarily define congruent angles.
Explanation:In the field of Mathematics, particularly in geometry, congruent angles are those which satisfy the condition of having the same angle measure. This implies that their measures, when compared, are equal. The other options you mentioned, like the sum of their measures being 90° or sharing a vertex and a side, don’t necessarily apply to all congruent angles. For instance, for two angles to sum to 90°, they would be complementary, not necessarily congruent.
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10. Describe how the graph of each function compares with the graph of the parent function
y =log3 (x-5)+3
A. To the right 5 and down 3
B. To the left 5 and up 3
C. To the right 5 and up 3
D. Down 5 and to the right 3
Evaluate f(2) for f(x) = 3^x
Answer:
9
Step-by-step explanation:
3^2 = 9
Answer:
f(2) = 9
Step-by-step explanation:
Step 1: Substitute 2 for x in the function
f(x) = 3^x
f(2) = 3^2
f(2) = 3*3
f(2) = 9
Answer: f(2) = 9
What is the slope of the line.
Step-by-step explanation:
Two points on the line are (1,4) and(-4,-4)
slope of the line =
[tex] \frac{ y2 - y1}{x2 - x1} [/tex]
[tex] \frac{ - 4 - 4}{ - 4 - 1} [/tex]
[tex] \frac{ - 8}{ - 5} [/tex]
[tex] \frac{8}{5} [/tex]
Write the point-slope form of the equation of the line that passes through the point (1, 3) and has a slope of 2. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
y - 3 = 2(x - 1).
Step-by-step explanation:
Point-slope form is
y - y1 =m(x - x1)
Here m (slope) = 2 , x1 = 1 and y1 = 3:
y - 3 = 2(x - 1).
Logan and Claudia want to split a bag of fun-sized candy, and decide to use the divider-chooser method. The bag contains 100 Snickers, 100 Milky Ways, and 100 Reese's, which Logan values at $4, $1, and $2 respectively. (This means Logan values the 100 Snickers together at $4, or $0.04 for 1 Snickers)
If Claudia is the divider, and in one half puts: 35 Snickers 30 Milky Ways 55 Reese's What is the value of this half in Logan's eyes?
Answer:
$2.80
Step-by-step explanation:
35 Snickers = $1.40
30 Milky Ways = $0.30
55 Reese's = $1.10
Value of bag:
$2.80
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.
When m of angle 2 = m of angle 3
Answer:
None.
Step-by-step explanation:
You cannot deduce any segments to be parallel with the given information.
Answer: none
Step-by-step explanation:
Calculate the circumference of the inscribed circle. [Use π = 3.14]
A) 18.84 ft
B) 37.68 ft
C) 48 ft
D) 75.36 ft
Answer:
B) 37.68 ft
Step-by-step explanation:
The diameter is 12 because the square's side is 12. The circumference is diameter * pi. 12 * 3.14 = 37.68.
Hope I Helped
4.1.3 How many solutions are there ?
Worksheet
A system of two linear equations in two unknowns have: 4 possible solutions (One, two, Infinitely many and No solutions).The correct options are options C, D, E, F.
One Solution (C): If the two lines intersect at a single point, the system has a unique solution.
Two Solutions (D): This is not a typical outcome for a system of two linear equations in two unknowns. Usually, there is either one solution, no solution, or infinitely many solutions. However, it's worth noting that technically, if the two equations represent the same line, every point on that line is a solution, and you could argue for "two solutions" in that sense.
Infinitely Many Solutions (E): If the two lines are coincident (overlapping), there are infinitely many points of intersection, resulting in infinitely many solutions.
No Solution (F): If the two lines are parallel and distinct, they will never intersect, indicating no solution.
So, C, D, E, and F are correct outcomes
Complete and correct question:
How many possible solutions can a system of two linear equations in two unknowns have? Select all that apply.
A. Four
B. Three
C. One
D. Two
E. Infinitely many solutions
F. No solution
What is the solution to log Subscript 5 Baseline (10 x minus 1) = log Subscript 5 Baseline (9 x + 7) x = six-nineteenths x = eight-nineteenths x = 7 x = 8
Answer:
x=8
Step-by-step explanation:
on edge
Answer:
8
Step-by-step explanation:
on edge
The exact average of a set of six test scores is 92. Five of these scores are 90, 98, 96, 94, and 85. What is the other test score?
Answer:
89
Step-by-step explanation:
92 = (90 + 98 + 96+ 94 + 85 + x )/6
92*6 = 90 + 98 + 96+ 94 + 85 + x
552 - (90 + 98 + 96+ 94 + 85) = x
x = 89
it took Simon 33 minutes to run 5.5 miles. did he run faster or slower than 1 mile every 5 minutes how can you tell
A truck driver is paid by the number of miles driven. If a truck driver earns $0.48 per mile, how many miles must the trucker drive in 1 hour to earn $17.00 per hour? Round to the nearest mile.
To earn $17.00 per hour at a rate of $0.48 per mile, the truck driver needs to drive approximately 35 miles per hour.
Explanation:To calculate the number of miles the truck driver must travel to earn $17.00 per hour at a rate of $0.48 per mile, one would set up a math problem to solve for the unknown variable, which in this case is the number of miles. We can accomplish this by dividing the desired total wage by the wage earned per mile.
Therefore: 17 ÷ 0.48 = 35.42. Since we cannot have fraction of miles and we must round up or down, we round to the nearest whole number as per the question's instructions, the truck driver must drive approximately 35 miles in one hour to earn $17.00.
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Find the surface area of number 4, last one!
Answer:
3,060 ft^2
Step-by-step explanation:
Shape 1:
Base: 36 × 10 = 360 (×2 = 720)
Large faces: 36 × 20 = 720 (×2 = 1,440)
Smaller face: 20 × 10 = 200
Add: 720 + 1,440 + 200 = 2,360
Shape 2:
Base: 15 × 10 = 150
Top face: 25 × 10 = 250
Triangular faces: 20 × 15 = 300
Add: 150 + 250 + 300 = 700
Add both shapes:
2,360 + 700 = 3,060
Ellen Fowler stars in the new TV series Stone Simons: Kid Astronaut. The day after the first episode airs, Ellen receives a bunch of fan mail. She splits all the letters into 3 equal stacks to open with her mom and her sister. Each stack contains 21 letters.
Which equation can you use to find the number of letters n Ellen receives?
Answer:
Ellen receives a bunch of fan mail. She splits them all into 3 equal stacks to open up with her mom and sister and each stack contains 21 letters.
To find the total number of letters that Ellen has recieved we have to add up all the letters in the 3 piles.
Your equation would be 21*3=n
You would times 21 by 3 because there are 21 letters in each stack.
Where n would represent the number of letter that Ellen has recieved.
To solve for n you would simply go 21*3=63.
Ellen has revieved a total of 63 letters.
Hope this helps ;)
Answer:
7 letters
Step-by-step explanation:
PLEASE HELP ME I NEED HELP YOU WILL BE BRAINIEST
Answer:
533 sq in
Step-by-step explanation:
13x29=377. that is the area of the rectangle.
then, the side of the triangle will be 13+11= 24in
area of a triangle is bxh/2 so 13x24 is 312 then divided by 2 is 156.
Add the two areas together 377+156 to get 533.
Answer:
533 sq inch
Step-by-step explanation:
Area for rectangle is Length time with
29x13 = 377
area of triangle is base time hieght / 2
24 x 13 = 312 / 2 =156
add them
Kelly is reading a 1056-page book. During the past 8 days she has read 384 pages. At this rate, how many more days will it take her to complete the book?
Answer:
14.75 days
Step-by-step explanation:
number of pages she reads a day :
384/8 = 48
remaining of the book
1056-348= 708
708/48= 14.75 days
An antique store is getting ready for their annual show in mark up all the prices by 25% if their most expensive item they have to markup is originally $840 what will be the show price be
Answer:
$1050
Step-by-step explanation:
The show price will be 25% of $840 and the result added to $840.
Therefore
25% of $840
25% /100% x $840
0.25 x $840
$210
Show price = $840 + $210
= $1050
The show price will be $1050
Final answer:
The show price of the most expensive item after the 25% markup will be $1050.
Explanation:
To determine the show price, we need to calculate a 25% markup on the original price of $840. This markup represents the additional amount added to the original price to determine the final selling price.
To calculate the markup amount, we multiply $840 by 0.25. This gives us $210, which represents the 25% of the original price.
Next, we add the markup amount to the original price. $840 plus $210 equals $1050. This means that the final show price of the most expensive item, after applying a 25% markup, will be $1050.
Therefore, the show price of the most expensive item after the 25% markup will be $1050.
You deposit $1500 in an account that pays 7% annual interest. Find the balance after 2 years when the interest is compounded daily.
A = $ 1,721.28
A = P + I where
P (principal) = $ 1,500.00
I (interest) = $ 221.28
With daily compounding, $1500 at 7% annual interest for 2 years yields approximately $1721.79. Compound interest accelerates growth.
To find the balance after 2 years with daily compounding interest, we'll use the formula for compound interest:
[tex]\[A = P\left(1 + \frac{r}{n}\right)^{nt}\][/tex]
Where:
[tex]- \(A\) is the amount of money accumulated after \(t\) years, including interest.- \(P\) is the principal amount (the initial amount of money).- \(r\) is the annual interest rate (in decimal).- \(n\) is the number of times that interest is compounded per unit \(t\).- \(t\) is the time the money is invested for, in years.[/tex]
Given:
[tex]- Principal \(P = $1500\)\\- Annual interest rate \(r = 7\% = 0.07\) (in decimal)\\- Compounded daily, so \(n = 365\) (days in a year)- Time \(t = 2\) years[/tex]
Let's calculate the balance [tex]\(A\):[/tex]
[tex]\[A = 1500\left(1 + \frac{0.07}{365}\right)^{365 \times 2}\]\[A \approx 1500\left(1 + \frac{0.07}{365}\right)^{730}\]Now, let's compute the value:\[A \approx 1500 \times (1 + 0.0001917808)^{730}\]\[A \approx 1500 \times (1.0001917808)^{730}\]\[A \approx 1500 \times 1.15183587\]\[A \approx 1727.7538\][/tex]
The corrected calculation gives a balance of approximately $1727.75. This is very close to the initial answer of $1727.67. The slight discrepancy could arise from rounding differences or calculation precision. However, it seems the correct answer is indeed very close to $1727.67, as initially calculated.
in the following equation, a qnd b are both integers. a(3x-8) = b- 18x
what is the value of a?
what is the value of b?
Answer:
Step-by-step explanation:
The value of a is -6, and the value of b is 48.
To solve the equation a(3x-8) = b - 18x for the values of a and b, we need to distribute the 'a' to both terms inside the parentheses and then compare coefficients from both sides of the equation.
Firstly, we distribute:
a(3x) - a(8) = b - 18x3ax - 8a = b - 18xNow, since the equation should hold true for all values of 'x', the coefficients of 'x' on both sides must be equal, and the constant terms should also be equal. We can set up two separate equations as follows:
3a = -18 (from comparing coefficients of 'x')-8a = b (since there is no 'x' term on the right side)Solving these two equations, we find that:
a = -18 / 3a = -6b = -8(-6)b = 48So, the value of a is -6, and the value of b is 48.
2 Points
The value 4 is an upper bound for the zeros of the function shown below.
f(x) = 4x2 - 12x2 – x+15
O A. True
O. B. False
SUBMIT
Answer:
Step-by-step explanation:
A true true
Answer:
T
Step-by-step explanation:
Which expression is equivalent to Negative 12 (3 x minus three-fourths)?
Answer:
[tex]-36x+9[/tex]
Step-by-step explanation:
In the given problem options are missing.
The given expression is
[tex]-12\left(3x-\dfrac{3}{4}\right)[/tex]
We need to find the equivalent expression.
Using distributive property we get
[tex]-12(3x)-12(-\dfrac{3}{4})[/tex]
[tex]-36x+9[/tex]
Hence, the expression [tex]-36x+9[/tex] is equivalent to given expression.
Answer:
-36x + 9
Step-by-step explanation:
To find the answer, simplify by multiplying within the parentheses. -12×3x= -36x. -12×-¾=9. The expression then becomes -36x + 9, which is the answer.
Hope this helps. I got it right on Edgen.
A school recorded the weights of enrolled males and females.
Which statement BEST compares the distributions?
A) Females weighed more than males on average, but males had more variability than females.
B) Females weighed more than males on average, and males had more variability than males.
C) Males weighed more than females on average, but females had more variability than males.
D) Males weighed more than females on average, and males had more variability than females.
Answer:
D
Step-by-step explanation:
By the graph, males had the highest weight, females stopped around 90 kg, males went well over that. Males did weigh more on average, being around 70, with the females around 50-60
Answer:
d
Step-by-step explanation:
1/9 + x = 1/2
What fraction is X?
Final answer:
The equation 1/9 + x = 1/2 is solved by finding a common denominator and subtracting the fractions, which results in x = 7/18.
Explanation:
To solve the equation 1/9 + x = 1/2, we need to find the value of x.
First, we'll align the equation to isolate x:
1/9 + x = 1/2x = 1/2 - 1/9Next, we must have a common denominator to subtract the fractions. The least common denominator (LCD) for 9 and 2 is 18. We convert both fractions to have this common denominator:
x = (9/18) - (2/18)Now we subtract the numerators:
x = 9/18 - 2/18x = (9 - 2)/18x = 7/18Thus, the value of x is 7/18.
The 1997 a value of an object was $5000. In 2012, it was worth $9500. The annual percent growth has been constant. What is the annual percent growth?
Solution:
The increasing function is given as:
[tex]y = a(1+r)^t[/tex]
Where,
y is future value
a is initial value
r is growth rate
t is number of years
From given,
a = 5000
y = 9500
t = 1997 to 2012 = 15 years
r = ?
Substituting the values we get,
[tex]9500 = 5000(1+r)^{15}\\\\(1+r)^{15} = 1.9\\\\Take\ \frac{1}{15}th\ power\ on\ both\ sides\\\\1+r = (1.9)^{\frac{1}{15}}\\\\1+r = 1.04367\\\\r = 1.04367 - 1\\\\r = 0.04367\\\\In\ percentage,\\\\r = 0.04367 \times 100 \%\\\\r = 4.367 \% \approx 4.37 \%[/tex]
Thus annual percent growth is 4.37 %
The sum of two numbers is -1. when twice the first number in four times the second number are added, it equals -10. what are the two numbers?
Answer:
3 and -4
Step-by-step explanation:
First, you write out each statement as an equation:
x + y = -1
2x + 4y = -10
Next, rewrite one equation so only x is on one side of the equation, and plug it into the other equation, and solve for y:
x = -y - 1
2 (-y - 1) + 4y = -10
-2y - 2 + 4y = -10
2y = -8
y = -4
Plug the found value for y into the original equation and solve for x:
x + y = -1
x - 4 = -1
x = 3
Plug both values into the second equation to check your work:
2x + 4y = -10
2(3) + 4(-4) = -10
6 - 16 = -10
-10 = -10
Final answer:
The two numbers in question are 3 and -4. These values are obtained by solving a system of equations derived from the given conditions.
Explanation:
The sum of two numbers is -1. When twice the first number and four times the second number are added, it equals -10. To find these two numbers, we can set up a system of equations.
Step 1: Establish equations
Let the first number be x and the second number be y. According to the problem, we have:
x + y = -1 (Equation 1)
2x + 4y = -10 (Equation 2)
Step 2: Solve the system
A simple method to solve these equations follows. First, multiply Equation 1 by -2 to get:
-2x - 2y = 2 (Multiply Equation 1 by -2)
Add this new equation to Equation 2:
(2x + 4y) + (-2x - 2y) = -10 + 2
2y = -8
y = -4
Now substitute y = -4 back into Equation 1 to find x:
x + (-4) = -1
x = -1 + 4
x = 3
Therefore, the two numbers are 3 and -4.
A quiz consists of two true-false questions and four multiple-choice question with three choices each. How many different sets of answers are there?
In this high school-level mathematics combinatorics question, the total number of different sets of answers for a quiz comprised of two true-false questions and four multiple-choice questions (each with three options) is 324.
Explanation:The subject of this question is combinatorics, a branch of mathematics concerning the study of counting, both as a means and an end in obtaining results, and certain properties of finite structures. Considering first the true-false questions, for each question there are 2 possible answers - true or false. So, for two questions, it would be 2x2 which equals 4 possibilities. Now, moving onto the multiple-choice questions, each with three choices (let's say A, B or C), for four such questions it would be 3x3x3x3 which equals 81 possibilities. To find the total possible answer combinations, multiply the results together: 4 (from true/false) x 81 (from multiple choice) = 324. Therefore, there are 324 different sets of answers for this quiz.
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To calculate the number of different sets of answers for a quiz with two true-false questions and four multiple-choice questions, you multiply the possibilities for each question type together, resulting in 324 different sets of answers.
Explanation:To find the number of different sets of answers for a quiz with two true-false questions and four multiple-choice questions with three choices each, we need to consider the principle of counting. For each true-false question, there are 2 possible answers (True or False). For each multiple-choice question, there are 3 possible answers. To find the total number of different sets of answers, we multiply the number of possible answers for each question together.
For the true-false questions: 2 × 2 = 4 possible combinations.
For the multiple-choice questions: 3 × 3 × 3 × 3 = 81 possible combinations.
Therefore, the total number of different sets of answers is:
4 (from the true-false questions) × 81 (from the multiple-choice questions) = 324 different sets of answers.
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Which figure is similar to the parallelogram? (Figures may not be drawn to scale.) A parallelogram has side lengths of 8 and 5.8. Angles are 68 degrees and 112 degrees. A parallelogram has side lengths of 4 and 4.8. Angles are 68 degrees and 112 degrees. A rectangle has a length of 6 and width of 4.8. All angles are 90 degrees. A parallelogram has side lengths of 4 and 2.9. Angles are 48 degrees and 132 degrees. A parallelogram has side lengths of 4 and 2.9. Angles are 68 degrees and 112 degrees.
Answer:
d
Step-by-step explanation:
24 decreased by the quotient of a number and 6 is -5
Answer: X/6 -24 = -5
Step-by-step explanation:
PLEASE HELP QUICKLY!!!! What is the equation of the line with a slope of -3/4 that goes through the point (−6, 3)?
Answer:
[tex]y=-\frac{3}{4}x-\frac{3}{2}[/tex]
or
[tex]y=-0.75x-1.5[/tex]
Step-by-step explanation:
step 1
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=-\frac{3}{4} \\point\ (-6,3)[/tex]
substitute
[tex]y-3=-\frac{3}{4}(x+6)[/tex]
step 2
Convert to slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]y-3=-\frac{3}{4}(x+6)[/tex]
Isolate the variable y
[tex]y-3=-\frac{3}{4}x-\frac{9}{2}[/tex]
[tex]y=-\frac{3}{4}x-\frac{9}{2}+3[/tex]
[tex]y=-\frac{3}{4}x-\frac{3}{2}[/tex]
find the volume for the image
Answer:
[tex] \frac{2}{5} = \frac{30}{x} \\ 2x = 30 \times 5 \\ \frac{2x}{2} = \frac{150}{2} \\ x = 75 {m}^{2} [/tex]