1. does a rectangle have opposite sides parallel
2. does a parallelogram have opposite sides parallel
3. does a trapezoid have opposite sides parallel
4. does a rhombus have opposite sides parallel
Answer:
yes I guess a rectangle has opposite sides parallel parallelogram has opposite sides parallel a trapezium has opposite sides parallel a rhombus has opposite sides parallel if I'm wrong please connect me right away thank you.
Answer:
1.Yes, 2 pairs
2.Yes, 2 pairs
3.Yes, 1 pair
4.Yes, 2 pairs
Step-by-step explanation:
1.Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.
2.A parallelogram is a four sided figure where the opposite sides are parallel.
3.A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
4.Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.
What is the strongest classification of the figure formed by the following points?
(–10,-4), (-7,-8), (-5,-4), (-2,-8)
OA. Paralellogram
OB. Quadrilateral
OC. Rectangle
OD. Rhombus
Answer:
A. Parallelogram
Step-by-step explanation:
The given points are;
(-10, -4), (-7, -8), (-5, -4), (-2, -8)
Let 'A' represent the point (-10, -4), let 'B' represent the point (-7, -8), let 'C' represent the point (-5, -4), and let 'D' represent the point (-2, -8), we have;
The (horizontal) distance between points A and C = -5 - (-10) = 5
The (horizontal) distance between points B and D = -2 - (-7) = 5
Therefore;
The length of \(\overline {AC}\) = The length of \(\overline {BD}\)
The length of \(\overline {AB}\) = √((-10 - (-7))² + (-4 - (-8))²)) = 5
The length of \(\overline {CD}\) = √((-5 - (-2))² + (-4 - (-8))²)) = 5
∴ The length of \(\overline {AB}\) = The length of \(\overline {CD}\)
\(\overline {AC}\) is parallel to the horizontal axis
\(\overline {BD}\) is parallel to the horizontal axis
∴ \(\overline {AC}\) ║ \(\overline {BD}\)
Given that \(\overline {AB}\) = \(\overline {CD}\), then \(\overline {AB}\) ║ \(\overline {CD}\)
Therefore, the quadrilateral ABCD is a parallelogram
(The angle ∠ABD = 180 - arctan (4/3) ≈ 126.9 > 90, therefore, the parallelogram ABCD is not a rectangle.)
if you roll two fair six-sided dice, what is the probability that the sum is 9 99 or higher?
The probability that the sum of two fair six-sided dice is 9 or 99 or higher is 5/36.
To find the probability of whether the sum of two fair six-sided dice is 9 or 99 or higher, we need to determine the number of favorable outcomes and the total number of possible outcomes.
The possible outcomes when rolling two six-sided dice range from 2 (minimum sum) to 12 (maximum sum). We want to calculate the probability of getting a sum of 9 or 99 or higher.
To determine the favorable outcomes, we need to identify all the combinations of dice rolls that meet our criteria. Here are the favorable outcomes:
(3, 6) = sum of 9
(4, 5) = sum of 9
(5, 4) = sum of 9
(6, 3) = sum of 9
(6, 6) = sum of 12
Therefore, we have 5 favorable outcomes.
Now, let's calculate the total number of possible outcomes. Since each die has 6 possible outcomes (numbers 1 to 6), the total number of possible outcomes for rolling two dice is 6 * 6 = 36.
The probability of getting a sum of 9 or 99 or higher is given by:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 5 / 36
Therefore, the probability that the sum of two fair six-sided dice is 9 or 99 or higher is 5/36.
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ZX and zy or supplementary angles. zy measures 49 degrees what is the measure of ZX
Answer:
131˙
Step-by-step explanation:
Supplementary angles are angles that add up to 180˙. If you subtract 49 from 180, you get 131.
Brainliest? Maybe?
Can you construct an example of a discrete random variable which does not have a finite expectation?
Throwing a coin until it lands tails is an example of a discrete random variable which does not have a finite expectation.
For the given question,
A discrete random variable is a type of variable whose value depends upon the numerical outcomes of a certain random phenomenon. Discrete random variables are always whole numbers, which are easily countable.
It is a variable that can take on a finite number of distinct values and takes numerous values. It is also known as a stochastic variable. When you consider probabilistic experiments with infinite outcomes, it is easy to find random variables with an infinite expected value.
Let X be a random variable that is equal to 2ⁿ with probability 2⁻ⁿ (for positive integer n). Then,
\(E(X)=\sum_{n:1}^{\infty} |2^{-n}2^{n}|\)
⇒ \(E(X)=\sum_{n:1}^{\infty} (1)\)
⇒ \(E(X)=\infty\)
Consider the following example,
You throw a coin until it lands tails.
Let n be the number of heads
Then number of heads can be found by, 2ⁿ
Now, the expected value function is
\(E(X)=\frac{1}{2}(2^{0} )+ \frac{1}{4}(2^{1} )+....\)
⇒ \(E(X)=\sum_{n:1}^{\infty} |2^{-n}2^{n-1}|\)
⇒ \(E(X)=\sum_{n:1}^{\infty} \frac{1}{2}\)
⇒ \(E(X)=\infty\)
Since the number of outcomes is infinite. The probability of each outcome decreases exponentially.
Hence we can conclude that throwing a coin until it lands tails is an example of a discrete random variable which does not have a finite expectation.
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What value of n makes the equation true?
2/3n = -12
n=
Answer:
-18
Step-by-step explanation:
\(\frac{2}{3}n=-12 \\ \\ \frac{3}{2} \cdot \frac{2}{3}n=\frac{3}{2}(-12) \\ \\ n=-18\)
43. given a standard deck of 52 playing cards, where half (clubs and spades) are black and half (hearts and diamonds) are red, what is the probability of picking three black cards in a row if the cards are not replaced?
The probability of picking three black cards in a row, without replacement, from a standard deck of 52 playing cards is 2/17, or approximately 0.1176 (rounded to four decimal places).
The probability of picking a black card on the first draw = 26/52 = 1/2
(since there are 26 black cards in the deck)
The probability of picking a black card on the second draw, given that a one was picked on the first draw and the card is not replaced = 25/51,
(since there are now only 25 black cards left out)
The probability of picking a black card on the third draw, given that the ones picked on the first two draws are not replaced = 24/50 = 12/25,
(since there are now only 24 black cards left out)
To pick three black cards in a row, we need to multiply the probabilities of each individual draw = (1/2) * (25/51) * (12/25) = 6/51
Simplifying this fraction, we get = 6/51 = 2/17
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How many inches means 1 feet?
1 foot is equal to 12 inches. So one feet is equal to 12 inches. The conversion factor between feet and inches is 1 ft = 12 in.
Inches (in) and feet (ft) are both units of measurement for length, but they are not directly interchangeable. To convert a measurement of length from feet to inches, you will need to use a conversion factor.
To convert a measurement of length from feet to inches, you will multiply the number of feet by the conversion factor of 12.
For example,
if you have a measurement of 2 feet, you would multiply 2 x 12 to get 24 inches. So, 2 ft = 24 in.
It's important to note that when measuring length, it's important to use the same system of measurement as the requirement, as using the wrong measurements can greatly affect the outcome of the calculation. It's always good to know the conversion factors to make your calculations easier.
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Given A ABC with a = 6, b = 9 and c = 11, find ZA. Round your answer to the nearest whole number.
In triangle ABC with side lengths a = 6, b = 9, and c = 11, the measure of angle A (ZA) can be calculated. The rounded answer to the nearest whole number is provided in the explanation below.
To find ZA, we can use the Law of Cosines, which relates the side lengths of a triangle to the cosine of one of its angles. The formula is as follows:
cos(ZA) = \((b^2 + c^2 - a^2) / (2 * b * c)\)
Substituting the given values, we have:
cos(ZA) = \((9^2 + 11^2 - 6^2) / (2 * 9 * 11)\)
= (81 + 121 - 36) / (198)
= 166 / 198
To find ZA, we need to find the inverse cosine (cos^-1) of this value. Using a calculator, the approximate value is 44.1 degrees. Rounding this to the nearest whole number, we get ZA ≈ 44 degrees.
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Are these shapes congruent??
Answer:
No
Step-by-step explanation:
70 points!! help pls :))
Part A: Complete the square to rewrite the following equation in standard form. Show all necessary work. (6 points)
x2 − 4x + y2 + 8y = −4
Part B: What are the center and radius of the circle? (4 points)
Find the midpoint of the 2 coordinates (0,5) and (4,17)
Answer:
(2, 11)
Step-by-step explanation:
Using the information you were give, plug it into this formula:
(x₁ + x₂)/2, (y₁ + y₂)/2
This should give you a new coordinate.
Mooberry Creamery uses 2 cups of ice cream in each milkshake. How many milkshakes can they make with 1 gallon of ice cream?
ANSWER
8 milkshakes
Step-by-step explanation
16 cups in a gallon. 2 cups per milkshake. 8 milkshakes are the answer
Answer:
8 milkshakes
Step-by-step explanation:
16 cups in a gallon. 2 cups per milkshake.
16/2=8
CAN SOMEONE HELP WITH THIS ASAP!!!
Answer: x=8
Step-by-step explanation:
Since we are given that ∠ABC and ∠DBC are complementary angles, we know that adding them together should give us 90°. We can use this to solve for x.
6x+13+4x-3=90 [combine like terms]
10x+10=90 [subtract both sides by 10]
10x=80 [divide both sides by 10]
x=8
Now, we know that x=8.
are there any inputs that cannot be evaluated by the function 6/x-3?
Answer:
as written
\(\frac{6}{x} -3\) zero would not be allowed....
BUT !!! I think that your question
is ......
\(\frac{6}{x-3}\) then the answer is "3"
Step-by-step explanation:
Which one of the following triangles has only 2 equal sides.(i) Equilateral triangle(ii) Scalene Triangle(iii) Isosceles Triangle
The correct option is (iii) Isosceles triangle is the one which has only 2 equal sides.
Every triangle is made up of three sides and three angles. A side is opposing an angle or a vertex if none of its ends is at the given angle's vertex. An angle is included between two sides if their common terminus is the angle's vertex.
Triangles are divided into one of three types based on the lengths of its sides: scalene, isosceles, or equilateral. A triangle is scalene if none of its sides are equal (of equal length). The triangle is isosceles if two or more of its sides are equal. A triangle is equilateral if all three of its sides are equal. By definition, all equilateral triangles are also isosceles.
Therefore, the correct answer is option (iii) Isosceles Triangle
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How to do this question?
Answer:
multiply 3 by -3 which is 1 so the new coordinates aew 1,1
If we wanted to analyze the variables Birth Rate and Death Rate at the same time, what would be appropriate to use? Mark all that apply..
- two-way table
- scatterplot
- boxplots
- histogram
- split bar chart
- stacked bar chart
The appropriate methods for analyzing the variables Birth Rate and Death Rate at the same time would be scatterplot, two-way table, and stacked bar chart.
Scatterplot: A scatterplot can be used to visually display the relationship between two quantitative variables, such as Birth Rate and Death Rate. Each point on the scatterplot represents a pair of values for the two variables, making it easy to identify patterns or trends in the data.
Two-way table: A two-way table can be used to display the distribution of two categorical variables, such as Birth Rate and Death Rate, and how they relate to each other. It can help identify the joint frequency or relative frequency of different categories.
Stacked bar chart: A stacked bar chart can be used to show how two categorical variables, such as Birth Rate and Death Rate, are related to each other. Each bar represents the total frequency for each category, and the bars are divided into sections representing the subcategories of the other variable. This makes it easy to compare the distribution of the two variables across each category.
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Please help me with the correct answer
Answer:
1 more bought baseballs then beach balls
Step-by-step explanation:
D t
-60 0
-56 10
-24 90
-20 100
-8 130
0 150
Choose the correct statement.
Select one:
a.
The function is
D(t)=52t−150
b.
The function is
D(t)=25t−150
c.
The function is
D(t)=52t−60
d.
The function is
D(t)=25t−60
Answer: To determine the correct statement, you need to find a pattern in the values of D(t). You can do this by finding the difference between consecutive values of D(t).
The difference between -60 and 0 is 60.
The difference between 0 and 10 is 10.
The difference between 10 and 90 is 80.
The difference between 90 and 100 is 10.
The difference between 100 and 130 is 30.
The difference between 130 and 150 is 20.
The pattern that emerges is that the difference between consecutive values of D(t) is always 25. This means that the correct statement is "The function is D(t)=25t−60". The correct answer is therefore d.
Step-by-step explanation:
Please help me please ASAP
Answer:
x = 17
Step-by-step explanation:
(5x-23) + (7x-1) = 180
12x - 24 = 180
12x = 204
x = 17
Answer:
x = 17
Step-by-step explanation:
The 2 given angles are same- side interior angles and sum to 180° , then
7x - 1 + 5x - 23 = 180
12x - 24 = 180 ( add 24 to both sides )
12x = 204 ( divide both sides by 12 )
x = 17
Given the triangle below, what must be the value of x? Use the scratchpad tool, if needed.
Please i need help!!
Answer:
8x
Step-by-step explanation:
Hope this helps:)
Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)
Answer:
M(13, 14)-------------------------
Each coordinate of the midpoint is the average of endpoints:
x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14Therefore M is (13, 14).
what is the x 2 y 3 x2y3 coefficient when expanding ( x − y ) 5 (x−y)5?
When expanding (x – y)^5, the coefficient of x^2y^3 is -10, obtained by choosing 2 elements from a set of 5 using the binomial coefficient.
expanding (x – y)^5 using the binomial theorem, the general term is given by C(5, k) * x^(5-k) * (-y)^k, where C(5, k) represents the binomial coefficient. To find the coefficient of x^2y^3, we need to determine the value of k that satisfies (5 – k) = 2 and k = 3.
Solving these equations, we find that k = 2 and k = 3 satisfy the conditions. Substituting these values into the general term, we have C(5, 2) * x^3 * (-y)^2 and C(5, 3) * x^2 * (-y)^3.
The binomial coefficient C(5, 2) represents the number of ways to choose 2 elements from a set of 5, which is equal to 10. Therefore, the coefficient of x^2y^3 is -10.
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given the line 3x+4y=3 and y=mx+8 intersect at a 45° angle, find m
Answer:
We can begin by finding the slope of the line 3x+4y=3 by rearranging it into slope-intercept form, y=mx+b:
4y = -3x + 3
y = (-3/4)x + 3/4
Thus, the slope of this line is -3/4.
Since the line y=mx+8 intersects the first line at a 45° angle, we know that the product of their slopes must be -1 (since the tangent of a 45° angle is 1). Therefore, we can set up the equation:
(-3/4)(m) = -1
Solving for m, we get:
m = 4/3
Therefore, the value of m that would make y=mx+8 intersect the line 3x+4y=3 at a 45° angle is 4/3.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet.
Which equation represent the situation?
A. y−700=200(x−6)
B. y−700=300(x−6)
C. y−6=75(x−700)
D. y−700=75(x−6)
Answer:
The correct answer is D.
The climber is climbing at a rate of 75 feet per hour. This can be found by taking the difference in altitude between 2 hours and 6 hours, which is 300 feet, and dividing by the difference in time, which is 4 hours. This gives us a rate of 75 feet per hour.
To find the equation that represents the situation, we can use the point-slope formula. The point-slope formula is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the slope is 75 and the point is (6, 700). Substituting these values into the point-slope formula, we get y - 700 = 75(x - 6).
Therefore, the equation that represents the situation is y - 700 = 75(x - 6).
The radio signal from the transmitter site of radio station WGGW can be received only within a radius of 52 miles in all directions from the transmitter site. A map of the region of coverage of the radio signal is shown below in the standard (x, y) coordinate plane, with the transmitter site at the origin and 1 coordinate unit representing 1 mile. Which of the following is an equation of the circle shown on the map?
The equation of the circle is given as follows:
x² + y² = 2704.
What is the equation of a circle?The equation of a circle of center \((x_0, y_0)\) and radius r is given by:
\((x - x_0)^2 + (y - y_0)^2 = r^2\)
The center is the position of the transmitter site, hence it is at the origin.
As stated in the problem, the radius of the circle is given as follows:
r = 52 miles.
Hence the equation of the circle is given as follows:
x² + y² = 52²
x² + y² = 2704.
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HELP WHAT IS THE SLOPE!!!!!!!
Answer:
rise over run (change in y divided by change in x)
so it would go as follows
\(\frac{(3-1)}{(4-9)}\)
= \(\frac{2}{-5}\)
= \(-\frac{2}{5}\)
Answer: - (2/5)
Step-by-step explanation:
(y2-y1) / (x2- x1) =
(1-3) / (9-4)
= - (2/5)
WAGES Mark has already earned money for mowing lawns over the summer when he takes a job at the local grocery store, earning $9.50 per hour. After working 16 hours at the grocery store, Mark has earned a total of $292. Write a linear equation to represent the amount of money m that Mark has earned this summer after working h hours at the grocery store.
The linear equation m = 9.50h + 140 represents the amount of money m earned by Mark in h hours while working at the grocery store in summer.
Mark earns $9.50 per hour while working at local grocery store
Total money earned by Mark after working for 16 hours is $292
As per the given condition, the points are (16, 292)
The slope of the linear equation is represented by $9.50
Hence, M = 9.5(16, 292)
Standard linear equation is given by
m = Mx + b … (1)
Substitute the values in the equation to get the values of b
292 = 9.5(16) + b
⇒ b = 292 - 152
⇒ b = 140
Substitute the values in the equation (1) again to get linear equation
⇒ m = 9.50h + 140
Hence, the linear equation is m = 9.50h + 140
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HURRY PLEASE I BARELY HAVE ANY TIME
what is the solution to the system of equations?
Answer:
maybe 3...............................