Answer:
B. CPCTC
D. opposite sides are congruent
Step-by-step explanation:
You want to know the necessary claims for proving opposite angles are congruent in a parallelogram.
ProofGiven parallelogram ABCD and diagonal AC, you can prove opposite angles congruent in this way:
AB≅CD and BC≅DA . . . . . opposite sides are congruent
AC≅CA . . . . . . . . . . . . . . reflexive property of congruence
∆ABC≅∆CDA . . . . . . . . . . . SSS congruence
∠B ≅ ∠D . . . . . . . . . . . . Corresponding parts of congruent triangles
When doing the proof, the necessary claims are ...
B. Corresponding parts of congruent triangles are congruent
D. Opposite sides are congruent.
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f ( x ) = 12 ( 7 ) x using base e
Please help me this is so hard and i really dont get this. if you help me with both parts ill give you 60 points
how large a sample should be taken if the population mean is to be estimated with 98 percent confidence to within $100? The population has a standard deviation of $800.
A sample of at least 433 individuals would need to be taken to estimate the population mean with 98% confidence to within $100.
Understanding Population EstimateTo estimate the sample size needed to estimate the population mean with 98% confidence to within $100, we can use the formula:
n = (z * σ / E)²
where:
n = sample size
z = z-score for the desired level of confidence (98% in this case), which can be found using a standard normal distribution table or calculator. For 98% confidence, the z-score is approximately 2.33.
σ = population standard deviation ($800 in this case)
E = margin of error ($100 in this case)
Plugging in the values, we get:
n = (2.33 * 800 / 100)²
n ≈ 432.64
Rounding up to the nearest whole number, we get a sample size of 433. Therefore, a sample of at least 433 individuals would need to be taken to estimate the population mean with 98% confidence to within $100.
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Select all the correct answers.
If the measure of angle 0 is 2n/3, which statements are true?
The statements that are true are ;
1. tan(tetha) = -√3
2. the measure of the reference angle is 60°
What is trigonometric function?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
The value of each angle depends on the quadrant it falls on.
First quadrant = 0-90°
second quadrant = 91° -180°
third quadrant = 181-270°
fourth quadrant = 271° - 360°
pi is measurement of angle in radians which is equivalent to 180°
therefore;
2π/3 = 2 × 180/3 = 360/3
= 120°
120 falls on the second quadrant,
tan60 = √3
tan 120 = -√3
the reference angle is 60° i.e
180-120 = 60°
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Help pleaseee
Expand the logarithm as much as possible
logy^10
The expanded form of log y^10 is either 10 log y or 10 ln y
Expanding the logarithmAssuming that the base of the logarithm is not specified, we can use the change of base formula to expand the logarithm:
log y^10 = log (y^10) / log (base)
Using base 10:
log y^10 = log (y^10) / log 10
= 10 log y / 1
= 10 log y
Using natural logarithm:
log y^10 = log (y^10) / log e
= 10 log y / 1
= 10 ln y
Therefore, the expanded form of log y^10 is either 10 log y or 10 ln y, depending on the base used.
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The point (3,b) lies on the circle with radius 8 and center (−2,−1). What are the possible values of b
The point (3,b) can lie on the circle with radius 8 and center (-2,-1) for values of b equal to -1 + √39 and -1 - √39.
We know that the circle with radius 8 and center (-2,-1) has the equation:
(x + 2)² + (y + 1)² = 8²
Substituting x = 3 and y = b, we get:
(3 + 2)² + (b + 1)² = 8²
Simplifying, we get:
25 + (b + 1)² = 64
(b + 1)² = 39
Taking the square root of both sides, we get:
b + 1 = ± √39
Therefore, the possible values of b are:
b = -1 ± √39
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What is the least common dominator of 4/13 and 4/5?
Answer:
52 is the least common dominator
Answer:
52/65
Step-by-step explanation:
The same fraction we can express in many different forms. If the numerator and denominator ratio is the same, the fractions represent the same rational number.
The least common denominator of a set of fractions is the least number that is a multiple of all the denominators: their least common multiple
The method of calculating the LCD is the same as the calculation least common multiple of fractions denominators.
The simple method for common computing denominators (not least at all) is to multiply all denominators.
Someone help I have no idea how to do this, it would help if I could get a step by step
Answer: x=3
Step-by-step explanation:
shaded part is 5/6 of the full circle, so just make an equation.
5/6 pi r^2(formula to find area)=15/2 pi(area given)
cancel out pi and simplify
r^2=9
r=+-3 but cant be negative so r=3
Help with solving This graph
Answer:
r=4
center: (-2,4)
Step-by-step explanation:
The equation of a circle is:
(x-h)²+(y-k)²=r²
(h,k) would be the center of the circle and r would be length of the radius
To find r, we simply take the square root of 16, which would be 4
And the center is given in the equation
Sonji went to a sandwich shop for lunch with 8 of her friends. Part of the group ordered only a sandwich for $5, and the
rest of the group ordered à combo for $8. The bill for all 9 people totaled $66.00. Which system of equations represents
the number of meals of each type that Sonji and her friends purchased?
Answer:
x+y=9
5x+8y=66
Step-by-step explanation:
5. Un tanque contiene 9 litros de agua si se abre el grifo que vierte tres litros de agua por minuto y y es la cantidad de agua (en litros), que hay en el tanque después de x minutos
The equation that models the amount of water in the tank after x minutes is:
y = -3x + 9
How many liters are there after x minutes?We know that the tank contains 9 liters of water, and it loses water at a constant rate of 3 liters per minute.
Then we can model the amount of water y in the tank after x minutes with a linear equation where the y-intercept is 9 and the rate of change is -3 (the amount it loses per unit of x)
Then the equation is:
y = -3x + 9
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2raised to power m-3 = 1
Answer:
m = 3
Step-by-step explanation:
Given:
[tex]2^{m-3}[/tex] = 1
Take the logarithm of both sides (logarithm of 1 is 0):
m - 3 = 0
Add 3 to both sides:
m - 3 + 3 = 0 + 3
m = 3
Hence, m = 3.
Logarithm is the power to which a number must be raised in order to get some other number. For example:
The base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. Meaning [tex]10^{2}[/tex] = 100.Is AB perpendicular to CD? Explain? pls yall fwm on the answer
Answer: No
Step-by-step explanation: They are not perpendicular due to the slopes. Perpendicular will have the same slopes value wise, but one is negative and one positive.
Given ∠4≅∠14, which lines, if any, must be parallel based on the given information? Justify your conclusion. Responses a∥b, converse of the same-side interior angles theorem a is parallel to b, , converse of the same-side interior angles theorem a∥b, converse of the alternate interior angles theorem a is parallel to b, , converse of the alternate interior angles theorem a∥b, converse of the corresponding angles theorem a is parallel to b, , converse of the corresponding angles theorem not enough information to make a conclusion not enough information to make a conclusion Two horizontal, parallel lines, line c and line d, where line c is above line d. These lines are intersected by two diagonal parallel lines, line a and line b. Line a is to the left of line b. The angles created by each intersection are numbered. From top left, going clockwise, the angles where line a intersects line c are labeled eleven, ten, nine, and twelve. The angles where line b intersects line c are labeled seven, six, five, and eight. The angles where line a intersects line d are labeled fifteen, fourteen, thirteen and sixteen. The angles where line b intersects line d are labeled three, two, one and four.
Someone please help!! (20 POINTS!)
Answer: C
Step-by-step explanation: Rise/run so 1/1=1 but it's going down so it negative. -1
What are the roots of the quadratic equation below?
2x² + 8x+7= 0
O A. x = = 2√2
1
O B. x =
-8+√120
8
O
O D. x =
C. x = = 4+√/²
-2+√120
Answer:
Step-by-step explanation:
c
A yoga studio sells monthly memberships. The function f(x) = −x^2 + 50x − 264 models the profit in dollars, where x is the number of memberships sold.
Determine the zeros, and explain what these values mean in the context of the problem.
x = 6, x = 44; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made.
x = 25, x = 361; The zeros represent the number of monthly memberships where no profit is made.
x = 25, x = 361; The zeros represent the number of monthly memberships that produces a maximum profit.
The zeros of the quadratic profit function are explained as:
x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made
How to find the zeros of a quadratic function?The quadratic function is given as:
f(x) = −x² + 50x − 264
The general form of expression of a quadratic function is:
f(x) = ax² + bx + c
The quadratic formula to find the zeros is:
x = [-b ± √(b² - 4ac)]/2a
Thus, we have the zeros as:
x = [-50 ± √((-50)² - 4(-1 * -264))]/2(-1)
x = 6 and x = 44
This represents number of monthly memberships where no profit is made.
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In its second year of operation, a local Internet provider’s profits were $170,500. If this amount was 576% of the company’s first-year profits, find the first- year profits (to the nearest hundred dollars).
Proportionately, if $170,500 profits in the second year of operation represent 576% of the company's first-year profits, the first-year profits will be $29,600.
What is a proportion?A proportion describes two ratios equated to each other.
Proportion is a fractional value that compares one value or quantity to another.
The profits for the second year of operation = $170,500
Let the profits for the first year of operation = x
Proportionately, if $170,500 is 576% of x, x = $29,600 ($170,500 ÷ 576%)
Using equations, 5.76x = $170,500
x = $29,600 ($170,500 ÷ 5.76)
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a couple decides to keep having children until they have a girl, at which point they will stop having children. they also agree to having a maximum of 3 children. the table shows the probability distribution of X=the number of children such a couple would have.
From the discrete distribution given, the standard deviation is of 0.83 children.
How to solveThe distribution is:
P(X=1) =0.5
P(X=2) =0.25
P(X=3) =0.25
The mean is 1.75.
The standard deviation is the square root of the sum of the difference squared between each value and the mean, multiplied by it's respective probability.
Hence:
The standard deviation is 0.83 children.
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In the coordinate plane, the point X (-1, 0) is translated to the point X' (3, 1). Under the same translation, the points Y (2, 3) and Z (1, -2) are translated to Y' and Z', respectively. What are the coordinates of Y' and Z'?
The coordinates of Y' are (6, 4) and the coordinates of Z' are (5, -1).
To find the coordinates of Y' and Z', we need to apply the same translation that maps X to X'.
We know that the vector that connects X to X' is (3 - (-1), 1 - 0) = (4, 1).
So, to translate Y to Y', we add the vector (4, 1) to the coordinates of Y:
Y' = Y + (4, 1)
= (2, 3) + (4, 1)
= (6, 4)
Similarly, to translate Z to Z', we add the vector (4, 1) to the coordinates of Z:
Z' = Z + (4, 1)
= (1, -2) + (4, 1)
= (5, -1)
Therefore, the coordinates of Y' are (6, 4) and the coordinates of Z' are (5, -1).
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Please need answer 17.
Answer:
sec(θ) = √10/3tan(θ) = 1/3Step-by-step explanation:
You want the tangent and secant of the angle θ the line x-3y=0 makes with the negative x-axis.
Trig functionsThe relations between the angle and its trig functions are ...
Tan = Opposite/Adjacent
Sec = Hypotenuse/Adjacent
Unit circleWe have shown the angle of interest in a unit circle with the "adjacent" side equal to the radius of the circle (1). Then the values of interest are ...
tan(θ) = opposite side = 1/3 . . . . . . . equal to the slope of the line
sec(θ) = hypotenuse = √(1 +(1/3)²) = √(10/9) = (√10)/3
The tangent is 1/3; the secant is (√10)/3.
__
Additional comment
A third-quadrant angle measured from the +x axis has a negative secant. The tangent is positive there.
Since this angle is measured from the -x axis, it isn't clear whether it is supposed to be considered a 3rd-quadrant angle or not. For the given acute angle θ shown, the trig functions are both positive. YMMV
Students in a math class recorded the number of text messages they received the previous day. How many students received at least 10 messages? Number of text messages line plot from 0 to 25 by fives. 5 has 2 marks, 10 has 3 marks, 15 has 2 marks, 20 has 4 marks, and 25 has 5 marks. 14 students 11 students 3 students 2 students
Answer:
Step-by-step explanation:
same goes 4 him i though he loved me but 10 =5x2
Match the line described on the left with the slope of the line on the right.
x=-3 , 6x-3y=18 , the line through (7,5) and (8,5) , the line through (4,-2) and (1,7)
Undefined -3 , 0 , 2
The Slope of x = -3 is undefined; 6x-3y=18 is 2; (4,-2) and (1,7) is -3; and (7,5) and (8,5) is 0.
What is the Slope of a Line?Slope of a line (m) = rise/run = change in y / change in x
Note that the slope of vertical lines are always undefined.
Therefore, we have the following:
x = -3 represents the equation of a vertical line, therefore, the slope is undefined.
6x - 3y = 18 is rewritten as y = 2x - 6 in slope-intercept form. The slope is 2.
For (4,-2) and (1,7):
Slope (m) = (7 -(-2))/(1 - 4) = 9/-3 = -3
For (7,5) and (8,5):
Slope (m) = 5 - 5/8 - 7 = 0/1 = 0
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Which is equivalent to 234 2/5
234 2/5 is equivalent to 1172/5.
234 2/5 is a mixed number, which means it is a combination of a whole number and a fraction.
To convert it to an improper fraction, we need to multiply the whole number by the denominator of the fraction and add the numerator.
The result becomes the new numerator, and the denominator stays the same.
In this case, we have:
234 2/5 = (234 x 5 + 2) / 5
= 1172/5
Therefore, 234 2/5 is equivalent to 1172/5 as an improper fraction.
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In a sample of 1000 adults, 150 said they are very confident in the nutritional information on restaurant menus. for us adults are selected at random without replacement.
Find the probability that none of the four adults are very confident in the nutritional information on the restaurant menus.
The probability that none of the four adults is very confident in the nutritional information on the restaurant menus is 0.208 or approximately 20.8%.
Ready to approach this issue by utilizing the hypergeometric conveyance, since we are examining without substitution from a limited populace of two sorts (those who are exceptionally sure and those who are not exceptionally sure).
Let X be the number of grown-ups in a sample of 4 who are not exceptionally sure about the wholesome data on eatery menus.
At that point, X takes after a hypergeometric dissemination with parameters N = 1000, n = 4, and K = 850 (since 850 grown-ups are not exceptionally certain).
The likelihood that none of the 4 grown-ups are exceptionally certain can be communicated as:
P(X = 4) = (K select 4) / (N select 4)
where (K select 4) speaks to the number of ways to select 4 grown-ups from the population of 850 who are not exceptionally sure,
and (N select 4) speaks to the entire number of ways to select 4 grown-ups from the populace of 1000.
Utilizing the equation for binomial coefficients, ready to disentangle this expression as:
P(X = 4) = [(850*849*848*847) / (4*3*2*1)] / [(1000*999*998*997) / (4*3*2*1)]
= 0.208
Hence, the likelihood that none of the four grown-ups are exceptionally certain within the wholesome data on eatery menus is 0.208 or approximately 20.8%.
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evaluate the expression
After substituting the values as x=3 and y=7, the value of the expression "2x²-y¹+3x⁰" is 14.
In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that can be simplified or evaluated to a numerical value.
To evaluate the expression 2x²-y¹+3x⁰ for x=3 and y=7, we substitute the given values, which are x=3 and y=7 into the expression and simplify:
On substituting the values,
We get,
= 2x² - y¹ + 3x⁰
= 2(3)² - 7¹ + 3(1)
= 2(9) - 7 + 3
= 18 - 7 + 3
= 14
Therefore, when x=3 and y=7, the value of the expression 2x²-y¹+3x⁰ is 14.
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What is the absolute value of 1/8 
Answer:
1/8
Step-by-step explanation:
The absolute value of positive numbers (decimals, fractions, etc.) is the same number. The absolute value of negative numbers (decimals, fractions, etc.) is the same, but positive.
What is Absolute value?
Absolute value is a set of lines that if any number is placed in it, the number would be positive
Absolute signs: | |
Examples:
|-6|= 6 (Absolute value of -6 is 6)
|9|=9 (Absolute value of 9 is 9) (Because 9 is already positive)
Your Question
Since 1/8 is already positive, the absolute value of it would just be 1/8
Please feel free to ask questions
Calculate the area of a circle 4ft ,2in,18ft,5.2in,7.3in,14cm,9m,3m,9.2cm,7m,5m,6m
Answer:
Step-by-step explanation:
It seems like you have provided multiple measurements for the radius of the circle. I'm sorry, but a circle can only have one radius, so I am not able to calculate its area with the given information.
Please provide the correct measurement for the radius of the circle, and I will be happy to help you calculate its area.
Suppose that the function h is defined as follows.
For the given function h(x) the points can be plotted on,
(-1,-1)(0,0)(1,1)(2,2)The given function h(x) is having four conditions and each condition can be clearly discussed below:
Given that for the first condition, the x-axis is ranging from -1 [tex]\leq[/tex] x < 0, the y-axis point is present exactly at -1. Similarly, for the second condition, the x-axis is ranging from 0 [tex]\leq[/tex] x < 1, and the y-axis point is present at 0. For the third condition, the x-axis is ranging from 1 [tex]\leq[/tex] x < 2, and the y-axis point is at 1.Finally, for the fourth condition, the x-axis is ranging from 2 [tex]\leq[/tex] x < 3, and the y-axis point is at 2.From, the above analysis we plotted the graph and attaching below.
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5.
Andre is playing a new card game. This game uses 4 sets of cards:
green, blue, yellow, and red. Each set has 15 cards numbered from
1 to 15. Select all of the actions that have more than 4 possible
outcomes. 7.SP.8, 7.SP.8b
0
selecting a blue card less than 5
selecting a red card greater than 13
selecting a yellow 12 card
selecting an 8 or 9 card of any color
selecting an even-numbered green card greater than 4
selecting a yellow card greater than 4²
selecting a blue card that is a multiple of 3
The actions that have more than 4 possible outcomes are:
- Selecting an 8 or 9 card of any color (each set has 2 cards for a total of 8 possible outcomes)
- Selecting a yellow card greater than 4² (there are 7 yellow cards that meet this criteria)
- Selecting a blue card that is a multiple of 3 (there are 5 blue cards that meet this criteria)
Therefore, only three of the given actions have more than 4 possible outcomes.
