Three friends want to meet at a place that is the same distance from each of their houses. They draw a map and measure the approximate distances and angles, as shown. A triangle is labeled with Jo apostrophe s House, Boris apostrophe s House, and Carrie apostrophe s house on the points. The length from Jo to Boris is 0.5 miles, the length from Boris to Carrie is 0.4 miles, and the length from Carrie to Jo is 0.6 miles. The angle at Jo is 38 degrees. The angle at Boris is 88 degrees. The angle at Carrie is 54 degrees. Which step should they take next to find a meeting place that is the same distance from each person’s house? Find the midpoint of the segments which connect their houses. Bisect each of the angles with vertices at their houses. Draw perpendicular lines through any point on the segments which connect their houses. Draw perpendicular line segments from each vertex to the opposite side.
Answers
Answer:the answer is B
Step-by-step explanation:Bisect each of the angles with vertices at their houses
To find a meeting place that is equidistant from Jo, Boris, and Carrie's houses, the friends should draw perpendicular bisectors from each side of the triangle.
What is a perpendicular line?Perpendicular lines are those that are parallel to one another and result in a 90° angle at their intersection.
Here are the steps to follow:
Draw a rough sketch of the triangle using the given information, labeling each vertex and the length of each side.
Locate the midpoint of each side of the triangle by measuring the length of each side and finding the point that is equidistant from the endpoints of that side. Label each midpoint.
Draw a line perpendicular to each side of the triangle at its midpoint, using a straightedge or ruler to ensure that the lines are straight and meet at a point inside the triangle.
The point where the three perpendicular bisectors meet is the circumcenter of the triangle. This point is equidistant from each of the three vertices of the triangle and is the meeting place that the friends are looking for.
So the answer is (D) Draw perpendicular line segments from each vertex to the opposite side.
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Related Questions
Victor just bought a new television for $682.00. He made a down payment of $55.00 and will pay monthly payments of $33.00 until it is paid off. How many months will Victor be paying? (Assume that Victor pays no interest.)
Answers
Answer:
19 months
Step-by-step explanation:
First off 682- 55 = 627. 627/33 = 19
Help, how do i do this problem and I really need this
Answers
So, set them equal:
2x+ 2 + 4x + 8 = 8x - 30
Combine like terms:
6x + 10 = 8x - 30
40 = 2x
x = 20
The curve y tan x crosses the line y = 7x at a non-zero x-value between x = 0 and X Ξ . Use Newton's method to find where the curves intersect. The curve y = tan x crosses the line y = 7x at x = (Type an integer or decimal rounded to seven decimal places as needed.) Enter your answer in the answer box. 8:04 PM O Type here to search
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Answers
To find the intersection point between the curve y = tan(x) and the line y = 7x, we can use Newton's method. Newton's method is an iterative numerical method used to approximate the root of a function.
We need to find the x-value where the curves intersect, so we can set up the equation tan(x) - 7x = 0. We want to find a solution between x = 0 and some unknown value denoted as X.
Using Newton's method, we start with an initial guess x_0 for the solution and iterate using the formula:
x_(n+1) = x_n - f(x_n) / f'(x_n),
where f(x) = tan(x) - 7x and f'(x) is the derivative of f(x).
We continue this iteration until we reach a desired level of accuracy or convergence. The resulting value of x will be the approximate intersection point between the two curves.
Please note that without specific values or range for X or an initial guess x_0, it is not possible to provide a specific numerical answer. However, you can apply Newton's method using an initial guess and the given function to find the approximate intersection point.
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^^^^^^^^^^^^^^^^^^^^^^^^
Answers
Answer:
117
Step-by-step explanation:
brainliest please
Find the total cost. (How much you pay.
Original price of a car: $21,589
Tax: 9%
Answers
Answer:
23532.01
Step-by-step explanation:
21,589 x 1.09 = 23532.01
We add a 1 to 0.09 to make there fewer steps when doing it manually.
Answer:
$ 23,532.01
Step-by-step explanation:
21,589 x 0.09 = 1,943.01
21,589 + 1,943.01 = 23;532.01
What is the y-intercept of the function f(x)=4 - 5x?
О -5
O -4
O 4
O 5
Answers
Answer:
y-intercept is 4
Step-by-step explanation:
if you organized the function, it would be f(x)=-5x+4
need help with this asap!!!!!
Answers
Answer:
that looks hard
Step-by-step explanation:
How are the properties of exponents used when dividing a polynomial by a monomial?
Answers
Answer:
a couple different obes
Step-by-step explanation:
there are five
The perimeter of a triangle can be represented by the expression p=5x+1. the length of one side is x-4 and the length of the other side is x-6. write a polynomial that represents the third side.
Answers
A polynomial that represents the third side of a triangle is 3x + 12
For given question,
The perimeter of a triangle is given by the expression p = 5x+1.
the length of one side is x-4
and the length of the other side is x-6.
Let m represents the third side of the triangle.
We know that the perimeter of a triangle is the sum of all three sides of the triangle.
⇒ p = (x - 4) + (x - 6) + m
⇒ 5x + 1 = 2x - 10 + m
⇒ 5x - 2x + 1 + 11 = m
⇒ m = 3x + 12
This is an expression of the third side of a triangle.
Therefore, a polynomial that represents the third side of a triangle is 3x + 12
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(6X-12)°
88°
(3X+21) •
Answers
Answer: no alike terms
Step-by-step explanation:
6x+12+3x+21+88
Combine Like Terms:
=6x+12+3x+21+88
=(6x+3x)+(12+21+88)
=9x+121
Answer:
=9x+121
Fernando is playing hide-and-seek with Darnel and Joy. Darnel is hiding 5 meters south of Fernando, and Joy is hiding due east of Darnel. If Fernando is 8 meters from Joy, how far apart are Darnel and Joy? If necessary, round to the nearest tenth.
Answers
Answer:
6.2 metres apartStep-by-step explanation:
Find attached a diagram for proper elucidation of the question. The resulting shape is a right angled triangle with hypotenuse FJ, and the other two sides DF and DJ respectively.
Using Pythagoras theorem to get the side DJ which is the distance between Daniel and Joy. According to the theorem, the square of the hypotenuse of a right angled triangle is equal to the sum of the other two sides.
FJ² = DF² + DJ²
From the diagram, FJ = 8 and DF = 5. Substituting this values into the theorem above to get DJ;
8² = 5²+DJ²
DJ² = 8²-5²
DJ² = 64 -25
DJ² = 39
DJ = √39
DJ = 6.2 (to the nearest tenth)
This shows that Darnel is 6.2 metres away from Joy
Find the value of ( 3 raise to 0 + 4 raise to-1) × 2 raise to 2
Answers
Answer:
The answer is 5
Step-by-step explanation:
(3^0 + 4^-1) 2²
Zero power rule and Negative power rule:
(1 + 1/4) 4
Add then multiply:
(1.25) 4
=5
Select the line plot that represents the given ages of students in a youth choir.
14, 13, 14, 15, 17, 12, 15, 16, 14, 16
PLEASEE I NEED HELP ON THIS
Answers
Answer: B
Step-by-step explanation:
Determine whether the given procedure results in a binomial distribution. If it is not binomial, identify the requirements that are not satisfied.
Surveying 20 college students and recording their favorite TV showSurveying 20 college students and recording their favorite TV show.
Choose the correct answer below.
A. No, because there are more than two possible outcomes and the trials are not independent.
B. Yes comma because all 4 requirements are satisfied.Yes, because all 4 requirements are satisfied.
C. No comma because there are more than two possible outcomes.No because there are more than two possible outcomes.
D. No, because the probability of success does not remain the same in all trials.
Answers
The given procedure does not result in a binomial distribution because it does not satisfy the criteria of having only two possible outcomes and independent trials.
No, this procedure does not result in a binomial distribution. In order for a distribution to be binomial, it must meet four criteria: (1) there must be a fixed number of trials; (2) the trials must be independent; (3) there must be only two possible outcomes (i.e., success or failure); and (4) the probability of success must remain the same in all trials.
In the given procedure, there are more than two possible outcomes (i.e., the different TV shows that the college students can choose) and the trials are not independent. Therefore, the procedure does not satisfy two of the four criteria necessary for a binomial distribution.
A binomial distribution can be described by the formula:
\(P(x) = nCx * p^x * (1 - p)^(n - x)\)
where n is the number of trials, x is the number of successes, and p is the probability of success. Since the given procedure does not meet the criteria for a binomial distribution, this formula does not apply.
The given procedure does not result in a binomial distribution because it does not satisfy the criteria of having only two possible outcomes and independent trials.
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Consider the following exponential probability density function.
Which of the following is the formula for P(x ≤ x0)?
screenshot below with options
- Select your answer -Formula #1Formula #2Formula #3Item 1
Find P(x ≤ 2) (to 4 decimals).
Find P(x ≥ 3) (to 4 decimals).
Find P(x ≤ 6) (to 4 decimals).
Find P(2 ≤ x ≤ 6) (to 4 decimals).
Answers
The exponential probability density function is a continuous probability distribution that models the time between independent events occurring at a constant rate. The formula for P(x ≤ x0) is given by Formula #1, which is the cumulative distribution function (CDF) for the exponential distribution.
To calculate the probabilities, we can use the formula P(x ≤ x0) = 1 - e^(-λx0), where λ is the rate parameter and x0 is the value of interest.
Using this formula, we can find P(x ≤ 2) = 0.3935, P(x ≥ 3) = 0.0498, P(x ≤ 6) = 0.9179, and P(2 ≤ x ≤ 6) = 0.5242, all to 4 decimal places.
It is important to note that the exponential distribution has the memoryless property, meaning that the probability of an event occurring in the next time interval is independent of the length of time since the previous event.
This property makes the exponential distribution useful in many real-world applications, such as queuing theory and reliability analysis.
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w
Is the following relation a function? (1 point)
Answers
Answer:
\(\huge\boxed{\sf No.}\)
Step-by-step explanation:
The given function is as follows:
{(6,3)(-1,2)(-1,-1)(4,3)}
Since, the domain ( x-values ) of the given function is being repeated which is against the rules of a function, The given relation is not a function.
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807How many gallons of pure water must be added to 500 gallons of a 40% saline solution to reduce it to 25% saline solution
Answers
Answer:
300 gallons
Step-by-step explanation:
A saline solution is a solution of salt in water.
The percent is the percent of salt in the total amount of solution.
A 40% saline solution has 40% of salt out of the total volume.
Let the amount of pure water needed = x.
The amount of existing 40% solution is 500 gal.
Let the total amount of 25% saline solution made = y.
Equation of volumes of solutions:
500 + x = y
y = x + 500 Eq. 1
Equation of volume of salt:
500 gal of 40% saline solution has 0.4 × 500 gal = 200 gal of salt
Pure water has 0% salt.
The final product is a solution that is 25% saline. Its volume is y.
The volume of salt in the y gallons of 25% saline solution is 25% of y = 0.25y
The equation of salt content is:
200 + 0 = 0.25y
y = 800 Eq. 2
Eq. 1 and Eq. 2 form a system of equations.
y = x + 500
y = 800
Substitute 800 for y in Eq. 1.
y = x + 500
800 = x + 500
x = 300
Answer: 300 gallons of pure water
it is claimed that in a bushel of peaches more than ten percent are defective. a sample of 400 peaches is examined and 50 are found to be defective. what is the p-value? 0.0500 0.0250 0.0485 0.4525
Answers
The p-value is option (A) 0.0500
Under the null hypothesis, the expected number of defective peaches in the sample of 400 would be:
p = 0.10 (since the null hypothesis assumes a maximum of 10% defective peaches)
n = 400
expected number of defective peaches = np = 0.10 x 400 = 40
We can then use the binomial distribution to calculate the probability of getting 50 or more defective peaches in a sample of 400, assuming that the null hypothesis is true.
P(X ≥ 50) = 1 - P(X < 50)
where X is the number of defective peaches in the sample, assuming the null hypothesis is true.
Using a binomial calculator or a statistical software, we can find:
P(X < 50) = 0.3081
Therefore,
P(X ≥ 50) = 1 - P(X < 50) = 1 - 0.3081 = 0.6919
This is the p-value of the hypothesis test. Since this is a one-tailed test , we can compare the p-value to the significance level, α. If α = 0.05, then the p-value is greater than α, which means we fail to reject the null hypothesis.
Therefore, the correct answer is A. 0.0500.
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can someone help me pls What operations can be applied to both sides of the inequality 2 <10 so that it remains true?
Select all that apply.
a. Add 4
b. divide by 8
c. multiply by - 1
d. divide by -2
e. add -3
f. multipy by 2
Answers
Answer:
I have concluded using my big brain that the correct answers are a, b, e, and f
Amy want to buy a desk. The original price is 60$. It is on
sale for 10%. How much will amy save?
Answers
Answer:
20.40
Step-by-step explanation:
Answer:
10 dollars. I think.
Step-by-step explanation:
who can put these in order from smallest to largest 2/5,1/3,4/15
Answers
Step-by-step explanation:
2/5,1/3,4/15
1,2,3,4,5,15
Answer:
4/15,1/3,2/5 is your answer.
Step-by-step explanation:
You need to get them all to the same denominator, which in this example is 15, then all the fractions would be, 6/15, 5/15, and 4/15.
a² + b²
______
a-b
if a = 3 and b = 4
Please help!
Answers
Answer:
Step-by-step explanation:
3^2+4^ / 3-4 = -25
Place the angles in order from largest (at the top) to smallest (at the bottom).
Answers
Answer:
∠A
∠B
∠C
Step-by-step explanation:
Place the angles in order from largest (at the top) to smallest (at the bottom).
∠A
∠B
∠C
Solution:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, acute, obtuse, scalene and right angled triangle.
If two sides of a triangle are unequal, then the value of the angles opposite to these sides are unequal, and the greater angle is that which is opposite to the greater side.
BC > AC > AB
Therefore the angles opposite are proportional to this sides. Hence:
∠A > ∠B > ∠C
Is this non linear or linear?
Answers
Answer:
Non-linear
Step-by-step explanation:
If we were to graph this table, the points will form a curve.
This is most likely a exponential function, not a linear function.
A linear function would form a straight line on a graph.
Hope this helps!
A wild tiger can eat up to 55 pounds of meat in a day about how many days would it take for a tiger to eat the following prey
Answers
It would take a tiger about 32 days to eat an eland antelope, 12 days to eat a boar, 3 days to eat a chital deer, and 42 days to eat a water buffalo, assuming that it eats 55 pounds of meat every day.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
To determine how many days it would take for a tiger to eat each prey, we need to divide the weight of the prey by the amount of meat a tiger can eat in a day (55 pounds).
Eland antelope: 1,754 pounds / 55 pounds = 31.89 days (rounded to 32 days)
Boar: 661 pounds / 55 pounds = 12.02 days (rounded to 12 days)
Chital deer: 183 pounds / 55 pounds = 3.33 days (rounded to 3 days)
Water buffalo: 2,322 pounds / 55 pounds = 42.22 days (rounded to 42 days)
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The complete question would be as:
A wild tiger can eat up to 55 pounds of meat in a day. about how many days would it take for a tiger to eat the following prey? eland antelope 1,754 pounds
Boar 661 pounds
Chital deer 183 pounds
water buffalo 2,322 pounds
Soledad buys 5 ounces of frozen yogurt for $2.25. What is the unit price of the frozen yogurt in dollars per ounce?
Answers
Answer:
0.45
Step-by-step explanation:
You divided 2.25 by 5
hence, you divide 2.25 by 5.
Look over Chuck's work What is incorrect about the way Chuck interpreted his problem? What should have been a clue to Chuck that something was wrong?
Answers
The probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.
To find the probability that a random student will be taking both Algebra 2 and Chemistry, we need to use the concept of conditional probability.
Let's denote the event of taking Algebra 2 as A and the event of taking Chemistry as C. We are given that P(A) = 0.08 (8% probability of taking Algebra 2) and P(C|A) = 0.17 (17% probability of taking Chemistry given that the student is taking Algebra 2).
The probability of taking both Algebra 2 and Chemistry can be calculated using the formula for conditional probability:
P(A and C) = P(C|A) * P(A)
Substituting the given values:
P(A and C) = 0.17 * 0.08
P(A and C) = 0.0136
Therefore, the probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.
It is important to note that the probability of taking both Algebra 2 and Chemistry is determined by the intersection of the two events, which means students who are taking both courses. In this case, the probability is relatively low, as it depends on the individual probabilities of each course and the conditional probability given that a student is taking Algebra 2.
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Which is a correct first step in solving 5 – 2x < 8x – 3?
5 < 6x – 3
3x < 8x – 3
5 < 10x – 3
2 – 2x < 8
Answers
Answer:
5 < 10x - 3
Step-by-step explanation:
5 - 2x < 8x - 3
Add '2x' to both the sides
5 - 2x + 2x < 8x + 2x - 3
5 < 10x - 3
A bag contains yellow marbles and blue marbles, 23 in total. The number of yellow marbles is 7 less than 2 times the number of blue marbles. How many yellow marbles are there?
Answers
Answer:
8
Step-by-step explanation:
yellow marbles=2b-7
blue marbles=2b
2b+2b-7=23
4b=23+7
4b=30
b=30/4
b=7.5
yellow marbles=2b- 7
2 x 7.5 -7
15 - 7
=8
In a survey of 1,400 people who owned a certain type of car, 900 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answers
Answer:
about 64.29%
Step-by-step explanation:
900/1400= 0.64285...
=about 64.29%