Answers
It is assumed the given figure is a parallelogram.
Use properties of a parallelogram:
opposite sides are parallel and congruent,diagonals bisect each other.Find the missing values:
ML = NP = 12 m, opposite sides are congruent,LP = MN = 10 m, opposite sides are congruent,m∠LPM = m∠NMP = 62°, alternate interior angles are congruent, as LP║MN and MP is transversal,LN = LQ*2 = 9*2 = 18 m, as Q is the midpoint of LN,m∠MLN = m∠PNL = 32°, alternate interior angles are congruent, as ML║NP and LN is transversal,QN = QL = 9 m, as Q is the midpoint of LN.Related Questions
fill in the blank
The vertext of y= x^2-8x+18 is ( , )
PleASE HELP ASAP
Answers
Answer:
Vertex is at (4, 2)
Step-by-step explanation:
to find the 'x' value of the vertex, use 'x = -b/2a'
in this problem, a = 1, b = -8, c = 18
x = -(-8)/2(1)
x = 8/2
x = 4
plug 2 in for 'x' in equation and solve for 'y':
y = 4² - 8(4) + 18
y = 16 - 32 + 18
y = -16 + 18
y = 2
Vertex is at (4, 2)
3 chairs and 4 tables cost rs 7540. if the price of a chair is 220 find the price of table?
ans - 7120
Answers
Answer:
The price of a table is rs1720
Step-by-step explanation:
Let C and T be the individual prices of the tables and chairs.
We know that 3C + 4T = rs7540
We are then told that C = rs220, so we can enter that into the equation to find T:
3C + 4T = rs7540
3(220) + 4T = rs7540 [for C = rs220]
660 + 4T = 7540
4T = rs6880
T = rs1720
Check:
Do 3 chairs at 220 each and 4 tables at 1720 each add to a total of 7540?
Chairs: rs660
Tables: rs6880
Total = rs7540 YES
Factor quadratic trinomials
2x^2+7x+6
3x^2+5x+2
With method X pleaseee:(
Answers
1. First find the skeleton with just x's:
(2x )(x )
2. Next, find 2 numbers that mutiply to make 6, and these go at the end of the brackets. This could be 6 and 1 or 2 and 3, or -6 and -1 or -2 and -3.
Since there is a 7x term, the 2 numbers must add to 7 when one of them is multiplied by 2 - due to the 2x term (2x ).
so (2x 3)(x 2) or (2x 2)( 3)
3. Trial and error shows us that (2x + 3)(x + 2) is the right answer.
4. Now set each bracket respectively to 0 and solve for x. The solutions are x = -3/2 and x = -2.
And there we have the answers!
Determine the intercepts of the line. Do not round your answers. y-4=7(x-6)y−4=7(x−6)y, minus, 4, equals, 7, left parenthesis, x, minus, 6, right parenthesis xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
Answers
The y-intercept of the line y = 7x -38 is -38. And the x-intercept is 0
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
The equation of the line,
y-4=7(x-6)
Simplify,
y -4 = 7x - 42
y = 7x -38
And slope-intercept form:
y = mx + b,
where m is the slope and y is the intercept.
Comparing with the slope intercept form,
we get,
m = 7 and b = -38
And the x-intercept is 0
Therefore3, y-intercept is -38.
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What statements about prisms are always true if the top base is directly above the bottom base? Select all that apply. The lateral faces are rectangles. The bases are congruent. The bases can be any shape. The lateral faces are congruent.
Answers
Answer:
The bases are congruent
Step-by-step explanation:
From the question, we understand that the top base and the bottom base are directly opposite one another.
When such a scenario arise, it means that the bases have the same shape, they have the same dimension (i.e. size).
With the above analysis, we can conclude that the bases are congruent.
However, the given information can not be used to determine the shape and congruence of the lateral faces.
Lastly, for the bases to be congruent, they must have the same shape (and not any shape).
Hence, only option (b) is correct
tossing a coin and spinning a spinner with five equal sections, 1-5
Answers
Answer:
Its gonna be a 50/50 on the coin and 20/100 chance for the spinner
Answer:
5 outcomes for the spinner and a 50/50 chance for the coin
Step-by-step explanation:
for the spinner, there are five numbers, 1,2,3,4, and 5. so, there is a 1/5 chance or you could also say there is a 20/100 chance. For the coin, there are two sides and 100 divided by 2 is 50 therefore, there is a 50/50 chance
Hope this helps!!
Mr. Barth is painting an arrow on the school parking lot. He draws the edges between the following points on the coordinate plane: (–2, 2), (5, 2), (5, 6), (12, 0), (5, –6), (5, –2), (–2, –2).
Answers
Answer:
sorry
Step-by-step explanation:
A gift box in the shape of a rectangular prism has 20-inch length, 14-inch width, and 10-inch height. How much paper will you need to wrap the gift box?
Answers
Answer:
1240 in²Step-by-step explanation:
Total surface area:
S = 2(lw + lh + wh)S = 2(20*14+20*10+14*10) = 1240 in²So
TSA
2(LB+BH+LH)2(20×14+14×10+10×20)2(280+140+200)2(620)1240in²In a random sample of 70 people, it was found that 44 of them were fans of the New York Yankees. What is the margin of error for the true proportion of all individuals who are fans of the New York Yankees? A. 0.0088 B. 0.058 C. 0.063 D. 0.116 E. 0.173
Answers
The margin of error for the true proportion of all individuals who are fans of the New York Yankees is 0.058.
The Correct option is (B).
How to find the margin of error?The formula to calculate the margin of error for the true proportion is;
M = √[p(1 - p)/n]
Given:
n= 40
p = 44/70
Now, The general formula for the margin of error would be:
z x √[p (1-p) ÷ n]
where:
z = values for selected confidence level
p = sample proportion
n = sample size
Since the confidence level is not given,
√[p (1-p) ÷ n]
=√[44/70 (1 - (44/70) ÷ 70]
=√[0.6286 (0.3714)] ÷ 70
=√0.2335 ÷ 70
= √0.0033357
= 0.05775 or 0.058
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Calculate the size of the angle marked 'x' in the pentagon shown below. Give your answer in degrees (°).
Answers
Answer: x= 96 degrees
Step-by-step explanation:
It we figure out the rest of the angles they would be (the outside ans inside angles are straight angles):
123+153+49+119= 444
Since the total of angles in a pentagon = 540 degrees
540-444 96 degrees
The measure of an angle x will be equal to 96°.
What is the Pentagon?A Pentagon is a two-dimensional geometric shape that consists of five straight sides and five angles. It is a type of polygon, which is a closed shape with three or more sides.
The Pentagon is often used to represent the shape of buildings, monuments, and symbols in architecture and design.
If we figure out the rest of the angles they would be (the outside and inside angles are straight angles):
123+153+49+119= 444
Since the total of angles in a pentagon = 540 degrees
540-444= 96°
Therefore, the measure of an angle x will be equal to 96°.
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Carlos has completed 18 deliveries so far this week. He needs to make 60 deliveries for the week. What percentage of his deliveries has Carlos completed?
Answers
Answer:
30%
Step-by-step explanation:
18/60 = 0.30
0.30 = 30%
question: which month has an average low temperature that is cooler than December’s? Explain your answer.
thanks to anyone who helps! giving out brainliest as well :)
Answers
Answer:January
Step-by-step explanation: if it is asking to explain based on data given, you can show that -11.6<-10.4, but if it is asking based on other information that you recieved, i cant really help other then to tell you to look at the cylces of day and night, because some parts of alaska get no sun for 6 months, so that could be why january is averagly colder
3 cm and 9 mm converted completely into centimetres to one decimal place is ____cm. Someone please help me it would be greatly appreciated :)
Answers
A bucket contains 4 red marbles, 10 blue marbles, 7 yellow marbles, and 5 green marbles.
What is the probability that you will reach in and pick a red marble?
a 4/25
b 4/23
c .2563
d 15.3%
Answers
Answer:
d. 15.3%
Step-by-step explanation:
There are a total of 4 + 10 + 7 + 5 = 26 marbles
P(pick a red) = 4/26 = 2/13 = .153 = 15.3%
Find the x and y Intercept of x + 2y = -14
Answers
Answer:
Y-intercept: (0, -7)
X-intercept: (-14,0)
Step-by-step explanation:
To find the y-intercept, we need to put 0 in for x
0 + 2y = -14
2y = -14
y = -7
So, the y-intercept is located at (0, -7)
To find the x-intercept, we need to put 0 in for y
x + 2(0) = -14
x = -14
So, the x-intercept is located at (-14,0)
Step-by-step explanation:
To find the y-intercep, we need to put 0 in for x
0 + 2y= -14
2y = -14
y = - 7
So, the y - intercept is located at ( 0, - 7)
I really also need help on this question lol
Answers
Answer:
13/15
For this question, you could type it into the calculator.
Hence, this question is too trivial, and your question might get deleted as a result. Since this is your first question, I will help you out but subsequently, do use a calculator to solve this kind of questions.
Step-by-step explanation:
4 1/3 can be converted to 13/3 as an improper fraction.
Next, evaluate 13/3 divided by 5
(13/3) / 5 = (13/3) x (1/5)
= 13/15
Answer:
Step-by-step explanation:
There are a number of ways to do this. I am going to take a little longer, but I am hoping that it will make sense to you.
4[tex]\frac{1}{3}[/tex] ÷ 5
Another name for 1 is [tex]\frac{3}{3}[/tex] I am going to rewrite 4[tex]\frac{1}{3}[/tex] knowing this.
[tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{13}{3}[/tex]
Another way to write 5 is [tex]\frac{5}{1}[/tex].
I want both of my fraction to have the same denominator so I will multiple
[tex]\frac{5}{1}[/tex] x [tex]\frac{3}{3}[/tex] = [tex]\frac{15}{3}[/tex] I am now ready to divide by fractions
[tex]\frac{13}{3}[/tex] ÷ [tex]\frac{15}{3}[/tex] Divide across
[tex]\frac{\frac{13}{15} }{\frac{3}{3} }[/tex] = [tex]\frac{\frac{13}{15} }{1}[/tex] = [tex]\frac{13}{15}[/tex]
How do you graph a parent graph?
Answers
This is how you construct a parent graph - it is the simplest form of the function, and has a basic shape.
The most basic form of a function is a parent function. Its essential shape is not changed in any manner. In mathematics, some graphs are frequently seen. Because of this, the graphs of quadratic functions, square roots, absolute values, cubics, and cube roots are among the original, widespread functions that are referred to as parent graphs.
For instance, you should still be able to identify the parabola that has undergone various transformations when you view a u-shaped graph that has been inverted and stretched vertically.
We can take a few examples to understand this concept further.
For a quadratic equation, the parent graph is [tex]f(x) = x^{2}[/tex], which is a parabola. For a cubic equation, the parent graph is [tex]f(x) = x^{3}[/tex].Hence, this is how you construct a parent graph - it is the simplest form of the function, and has a basic shape.
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Use the FOIL Method to find (b+3)(b+7).
Answers
Step-by-step explanation:
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Chee and her children went into a grocery store and she bought $12 worth of bananas and mangos. Each banana costs $0.50 and each mango costs $2. She bought twice as many bananas as mangos. Graphically solve a system of equations in order to determine the number of bananas, x,x, and the number of mangos, y,y, that Chee bought.
Answers
We get the number of bananas as 8 and the number of mangoes as 4.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is that Chee and her children went into a grocery store and she bought $12 worth of bananas and mangos. Each banana costs $0.50 and each mango costs $2. She bought twice as many bananas as mangos.
We can write the system of equations as -
x = 2y ..... (1)
(1/2)x + 2y = 12 ..... (2)
We can write equation (2) as -
(1/2) x 2y + 2y = 12
3y = 12
y = 4
then -
x = 8
Therefore, we get the number of bananas as 8 and the number of mangoes as 4.
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Two students wrote the equations shown below.
Erica Aliyah
y = -0.5x y = 2.5x - 8
Which statement is true?
A Graphs of both equations will pass through the origin.
B Only Erica’s equation is proportional.
C Both equations have a negative slope.
D Only Aliyah's is proportional
Answers
Only Erica's equation (y = -0.5x) is proportional
What is an equation?An equation is used to show the relationship between numbers and variables.
The standard form of a linear equation graph is:
y = mx + b
Where m is the slope of the line and b is the y intercept.
Given the Erica equation:
y = -0.5x
The slope is -0.5, hence it is a negative slope and the intercept is at 0, hence it passes through the origin and is proportional
Given the Aliyah equation:
y = 2.5x - 8
The slope is 2.5, hence it is a positive slope and the intercept is at -8, hence it does not pass through the origin and is not proportional
Both equations are linear equations
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Let C be between D and E. Use the Segment Addition Postulate to solve for n.
DC = 5n – 30
CE = 6n – 25
DE = 44
A. N = 13
B. N = 4
C. N = –5
D. N = 9
Answers
Segment Addition Postulate states that n has a value of 9 when DC = 5n - 30 and CE = 6n - 25 and DE = 44.
what is equation ?A mathematical equation is a formula that connects two statements using the equal sign (=) to denote equivalence. An algebraic equation is a mathematical statement that establishes the equality of two mathematical expressions. For example, the variables 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14. Mathematical equations are used to express the connection between two phrases on either side of a letter. There is frequently just one variable, which is also the symbol. example: 2x - 4 = 2.
given
DE = DC + CE
44 = 5n – 30 + 6n – 25
44 = 11n - 55
44 + 55 = 11n
n = 9
Segment Addition Postulate states that n has a value of 9 when DC = 5n - 30 and CE = 6n - 25 and DE = 44.
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A ladder is leaning against a wall. The top of the ladder is 999 feet (\text{ft})(ft)(, start text, f, t, end text, )above the ground. If the bottom of the ladder is moved 3\,\text{ft}3ft3, start text, f, t, end text farther from the wall, the ladder will be lying flat on the ground, still touching the wall. How long, in feet, is the ladder
Answers
999.06ft999.06 in feet is the ladder.
What is Pythagorean Theorem?Pythagorean Theorem is a mathematical formula used to calculate the length of the sides of a right triangle. It states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side, which is known as the hypotenuse. The formula is written as a² + b² = c², where a and b are the two shorter sides, and c is the hypotenuse.
To find the length of the ladder, use the Pythagorean Theorem. The length of the ladder is equal to the square root of the sum of the squares of the side lengths of the right triangle formed by the ladder and the wall.
The two side lengths of the right triangle are 999\,\text{ft}999ft999, start text, f, t, end text and 3\,\text{ft}3ft3, start text, f, t, end text.
Therefore, the length of the ladder is equal to the square root of (999^2+3^2), which is equal to 999.06\,\text{ft}999.06ft999.06,
start text, f, t, end text.
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There was a population of 40 bears in a National Park. After a year, the population increased by 40%. How many bears are there in the park now?
Answers
Answer: 56
Step-by-step explanation:
Given
There are 40 bears in a national park
After a year, Population increased by 40%
An increase in population is
[tex]=40\times 40\%\\=40\times 0.4\\=16[/tex]
So, a new population is the sum of the original and increased population
[tex]\Rightarrow 40+16\\\Rightarrow 56[/tex]
The table below shows information about how many fans there were at two
football matches in a local tournament.
What is the difference between the number of away fans at the semi-final and at
the final?
Semi-final
Final
Total number of fans
250
400
Ratio of home fans
to away fans
6:4
7:3
Answers
Therefore , the solution of the given problem of ratio is Because of this, at a 95% confidence level, (a,b) = ($65.57, $74.43).
What is ratio?A ratio or fraction in math displays how many times one number is contained in another. For instance, the proportion of oranges to lemons in a bowl of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3 or decimal 1.333).
Here,
Confidence intervals are defined as a range of values with a known chance that a parameter's value falls inside them.
A statistical data's confidence interval can be expressed as.
=> x+/-zr/√n
=> Knowing that;
Average Sample x = $70.00
$17.50 is the standard deviation.
n = 60 samples were used.
95% confidence interval
95% confidence interval for z = 1.96
substituting our current values;
$70.00+/-1.96($17.50/√60)
$70.00+/-1.96($2.259240285287)
$70.00+/-$4.428110959163
$70.00+/-$4.43
= ( $65.57, $74.43)
Therefore , the solution of the given problem of ratio is Because of this, at a 95% confidence level, (a,b) = ($65.57, $74.43).
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6. Lines C and D below are cut by transversal, t. Which of
the following is true about the angles formed?
Answers
Answer:
m∠8 = m∠2, option G
Step-by-step explanation:
Angles 8 and 2 are alternate interior angles, which means they are equal. Thus, the answer is option G, m∠8 = m∠2
Mashika: We already know from polling data that some segments of the electorate provide significant support to Ms. Puerta. If those segments also provide significant support to Mr. Quintana, then no segment of the electorate that provides significant support to Mr. Quintana provides significant support to Mr. Ramirez.
Salim: But actually, as the latest polling data conclusively shows, at least one segment of the electorate does provide significant support to both Mr. Quintana and Mr. Ramirez.
Among the following statements, which is it most reasonable to infer from the assertions by Mashika and Salim?
A. At least one segment of the electorate provides significant support neither to Mr. Quintana nor to Mr. Ramirez.
B. At least one segment of the electorate provides significant support to Ms. Puerta but not to Mr. Quintana.
C. Each segment of the electorate provides significant support to Ms. Puerta.
D. Each segment of the electorate provides significant support to Mr. Quintana.
E. Each segment of the electorate provides significant support to Mr. Ramirez.
Answers
Answer:
D. Each segment of the electorate provides significant support to Mr Quintana
Step-by-step explanation:
From the question, we have the following logic statement;
If those segment that provide significant support to Ms Puerto also provide support to Mr. Quintana then no segment of the electorate that provides significant support to Mr. Quintana provides significant support to Mr. Ramirez
Counter to the If Then Logic structure
At least one segment of the lectorate provides significant support to Mr. Quintana and Mr. Ramirez
Therefore, there is at least one segment that provides support to Mr. Quintana but not to Ms. Puerta
The segments that provide support to Ms. Puerta do not provide support to Mr. Ramirez
Mr. Quintana's support includes those from the supporters of Ms. Puerta and those from the supporters of Mr. Ramirez
Therefore, each segment of the electorate provide significant support to Mr. Quintana.
Solve these problems
A= 12+4×2-7
B= 2×(-3)+8
Answers
B=2
You have to calculate the multiplication first
Answer:
A. 13
B. 2
Step-by-step explanation:
You use order of operations.
A. 4x2=8+12=20-7=13
B. 2x-3=-6+8=2
This composite figure is made up of three simpler shapes. What is the area of the figure? 68 square cm 83 square cm 59 square cm 33 square cm
Answers
Answer:
68 square cm
Step-by-step explanation:
the composite is made up of a triangle , rectangle and parallelogram
area of composite = area of triangle + area of rectangle + area of parallelogram
Area of parallelogram = base x height
9 x 2 = 18
area of triangle = 1/ 2 x base x height
1/2 x 6 x 5 = 15
Area of a rectangle = length x width
5 x 7 = 35
15 + 35 + 18 = 68
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In a group of 23 students, 2 study both Art and Biology.
2 study Biology but not Art.
4 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answers
Answer:
Total number of outcomes = 23
number of biology and art students = 2
number of biology students = 2
Since it is given that all the students study art,
number of possible outcomes = 2
probability = number of favorable outcomes/number of total outcomes.
= 2/23
Therefore probability that the selected student studies both art and biology is 2/23.
Augustus has made a pile of 2,000 candies, and he is giving away 25 candies a day from this pile. When will he have 350 candies left in this pile
Answers
350 = -25x + 2000
-1650 = -25
x = 66 days