According to the given information, segment uv is parallel to segment wz, while angles squ and vqt are vertical angles. angle vqt is congruent to angle squ by the vertical angles theorem. because angles squ and wrs are ________ angles, they are congruent according to the ________ angles theorem. finally, angle vqt is congruent to angle wrs by the transitive property of equality. which term accurately completes the proof? a alternate interior b corresponding c same-side interior d vertical
Angle vqt is congruent to Angle squ by the vertical angles theorem. because angles squ and wrs are corresponding angles, they are congruent according to the Corresponding angles theorem.
Option b is true.
Here,
Segment uv is parallel to segment wz,
Angles squ and vqt are vertical angles.
Angle vqt is congruent to Angle squ by the Vertical angles theorem.
What is corresponding angles?
Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
Now,
Angle vqt is congruent to Angle squ by the vertical angles theorem.
When, two angles are corresponding angle then, Angle vqt is congruent to Angle squ by the Vertical angles theorem.
And, they are congruent according to the Corresponding angles theorem.
Hence, Segment uv is parallel to Segment wz, while Angles squ and vqt are Vertical angles. Angle vqt is congruent to Angle squ by the vertical angles theorem. Because angles squ and wrs are corresponding angles, they are congruent according to the corresponding angle theorem. finally, Angle vqt is congruent to Angle wrs by the transitive property of equality.
So, Option b is true.
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How to memorize multiplication tables in just one day?
Answer:
Skip counting
Step-by-step explanation:
Skip counting is when you count at intervals of any number you like. If I were to skip count by seven, I would count 7, 14, 21, and so on. You can easily accomplish single-digit multiplication with this method. For example, suppose your teacher asks you to multiply 4 x 7 =. Simply count sevens four times, 7, 14, 21, and 28. 4 x 7 = 28 is the answer.
Go over the skip-counting list until you get to the halfway mark (3, 6, 9, 12, 15, and 18). Allow yourself to speak it out loud while pointing to the answers one by one with a finger or a pen. This engages many senses at the same time.
Repeat the list from memory after they have gone over it a few times.
The mind is similar to muscles in that it requires exercise to grow stronger.
Memorize this list in both ascending and descending order.
Go through the remaining items on the list: 21, 24, 27, 30, 33, 36.
Finally, go over the entire list of answers. Repeat the list UP AND DOWN until it seems natural and effortless.
Step-by-step explanation:
First write it down by looking at a picture.
Then try writing it down without looking at a picture
Keep doing this.
Also study for 10 mins and then ask someone else to test you
Given the polynomial below, identify the following: variable, exponent, constant, and coefficient
-14q^5 - 6
In the polynomials;
The value of variable = q
The value of exponent = 5
The value of constant = -6
The value of coefficient = -14
Here,
The given polynomial is;
-14q⁵ - 6
We have to find the variable, exponent, constant, and coefficient in the polynomial.
What is an Exponent?
An exponent is refer to number of times a number is multiplied by itself.
Now,
In the given polynomial;
-14q⁵ - 6
The variable is = q
Since, the power of q is 5.
Hence, The value of exponent = 5
And, The value of constant term = -6
And, The value of coefficient = -14
Therefore, In the polynomials;
The value of variable = q
The value of exponent = 5
The value of constant = -6
The value of coefficient = -14
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let x1, x2 ..., x100 all be independent bernoulli variables, which take a value of 1 with probability 0.5
Using the normal approximation to the binomial, there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.
What is the missing information?This problem is incomplete, but researching it on a search engine, it asks the probability that the sum of these Bernoulli variables is of less than 60.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].The binomial distribution is a series of n Bernoulli trials with p probability of a success on each trial, hence the parameters for the binomial distribution are given as follows:
n = 100, p = 0.5.
The mean and the standard deviation are given by:
[tex]\mu = np = 100(0.5) = 50[/tex].[tex]\sigma = \sqrt{np(1-p)} = \sqrt{100(0.5)(0.5)} = 5[/tex]Using continuity correction, the probability that the sum is less than 60 is P(X < 59.5), which is the p-value of Z when X = 59.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (59.5 - 50)/5
Z = 1.9
Z = 1.9 has a p-value of 0.9713.
Hence there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.
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Use the trapezoid shown to mark each statement below as true or false. if false, please rewrite the statement correctly in the space below the statement!
Q: The perimeter of the trapezoid shown is 22 units.
True false?
FIRST TO ANSWER IS MARKED BRAINLIEST!!!
Answer:
False
The perimeter of the trapezoid shown is 23 units
Step-by-step explanation:
luke measured a swimming pool and made a scale drawing. the scale he used was 7 centimeters : 3 meters. the pool is 105 centimeters long in the drawing. how long is the actual pool?
The actual length of the swimming pool be 15m if the scale used by Luke is 7cm : 3m.
Let the actual length of the pool be x m.
According to the given question.
Luke measured a swimming pool and made a scale drawing. The scale he used was 7 centimeters : 3 meters.
⇒ The scale is 7cm : 3m.
Also, the length of the pool in the drawing is 105cm.
Therefore, the actual length of the swimming pool is given by
7cm : 3m = 105cm : x (by proportion fromula)
⇒ 7x = 105
⇒ x = 15m
Hence, the actual length of the swimming pool be 15m if the scale used by Luke is 7cm : 3m.
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1-87 Plot the points A(3,2) B(3,6) C(5,4) on a piece of graph paper and translate the figure up 2 units
and left 5 unita.
the points will become from ( x , y ) to ( x - 5 , y + 2) and these has been plotted on the graph.
We are given the coordinates of the points:
A (3 , 2)
B (3 , 6)
C (5 , 4)
We need to plot them on the graph paper.
Now, we need to translate the points 2 units to the up and 5 units to the left.
So, the coordinates will change from ( x , y ) to ( x - 5 , y + 2)
So, we get that:
A (3 , 2) will become A' ( - 2 , 4)
B (3 , 6) will become B' ( - 2 , 8)
C (5 , 4) will become C' ( 0 , 6)
Therefore, we get that, the points will become from ( x , y ) to ( x - 5 , y + 2) and these has been plotted on the graph.
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-3(x+5)= 3(x-1) solve for x
Answer: x=-2
Step-by-step explanation:
-3(x+5)= 3(x-1)
-3x-15=3x-3
-3x-15=3x-3
-15=6x-3
6x=-12
x=-2
How much is 12 out of 156 as a fraction in its simplest form?
Answer:
3/64
Step-by-step explanation:
12/156
DIvide both numbers by two
6/78
Divide both numbers by two
3/64
Answer: 1/13
Step-by-step explanation:
[tex]\displaystyle\\\frac{12}{156}=\\\\ \frac{3*4}{3*52}=\\\\ \frac{4}{52}=\\\\ \frac{4}{4*13}=\\\\ \frac{1}{13}[/tex]
please help!
not sure how to find 3 and 4
The table shows a proportional relationship between the mass, in kilograms (\text{kg})(kg)left parenthesis, start text, k, g, end text, right parenthesis, of a dog and the milliliters (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis of flea medicine a veterinarian prescribes.
Using a proportional relationship, the numbers that could be used as the missing values in the table are:
35 kg, 1.4 ml.
What is the missing information?The table is given by:
50 kg, 2 ml.10 kg, 0.4 ml.5 kg, 0.2 ml.x kg, x ml.It asks for the missing value in the table, and the options are given as follows:
15 kg, 0.9 ml.25 kg, 0.8 ml.40 kg, 1.6 ml.35 kg, 1.4 ml.20 kg, 1.2 ml.What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
Considering point (50,2), the relationship is given by:
y = 0.04x.
As k = 2/50 = 0.04.
When x = 35, we have that:
y = 0.04 x 35 = 1.4.
Which means that the point is:
35 kg, 1.4 ml.
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Answer:
c and d
Step-by-step explanation:
A small plane flies for 3 hours to an airport 450 kilometers away against a strong headwind. the plane then returns to its starting location flying with the wind, taking 2 hours. the wind speed remains constant for the round-trip flight.
The speed of the plane and wind in km/hr is 187.5 and 37.5 respectively.
What is a linear equation ?A linear equation has highest degree of 1.
According to the given question a small plane flies for 3 hours to an airport 450 kilo meters away against a strong headwind. the plane then returns to its starting location flying with the wind, taking 2 hours.
Form these we can form two linear equations in two variables.
Assuming speed of the plane to be x km/hr and speed of wind to be y km/hr.
We know Distance = speed × time.
3( x - y) = 450. and 2( x + y) = 450.
3x - 3y = 450...(i) and 2x + 2y = 450...(ii)
multiplying eqn (i) by 2 and eqn (ii) by 3 and solving we get
x = 187.5 km/hr and y = 37.5 km/hr.
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10 POINTS FOR THE ANSWER
Explain in your own words using appropriate vocabulary on how you determine what side is opposite, adjacent and the hypotenuse.
It should be noted that the hypotenuse is the longest side in the triangle. The opposite is the side facing the angle and the adjacent is the last side.
How to illustrate the information?The hypotenuse is the longest side of a right triangle. An "opposite" side is one that is across from a given angle, while a "adjacent" side is one that is close to a given angle.
According on the angle requested, adjacent and opposing sides can differ. The side that is opposite to the requested angle is the opposite side, and the side that is immediately adjacent to the requested angle is the adjacent side.
In conclusion, the opposite is the side facing the angle and the adjacent is the last side.
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there are nine blocks in a bag: three red, three white, and three blue. three blocks are selected at random and without replacement. the probability that at least two of the blocks will be different colored is where are relatively prime. what is
The probability that the three balls have different colours is [tex]\frac{2}{7}[/tex]
Given that An bag contains nine balls, three of which are red, four of which are blue, and two of which are green. Three balls are drawn at random from the bag without replacement and asked to find the probability that the three balls have different colours is [tex]\frac{2}{7}[/tex]
Selecting of 3 balls=9c3
selection of 3 different colour balls=3c1×4c1×2c1
probability:
probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To determine how likely an event is to occur, mathematics has created the concept of probability.
probability=[tex]\frac{3c1.4c1.2c1}{9c3}[/tex]
probability= [tex]\frac{2}{7}[/tex]
Therefore,The probability that the three balls have different colours is [tex]\frac{2}{7}[/tex]
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f(x)=-x-4 solve when f(x)=6
Answer: Pretty sure the answer is -10
Step-by-step explanation: If you replace f(x) with 6, you can figure out the answer more quicker.
6 = -x-4
10 = -x
x=-10
Answer:
2
Step-by-step explanation:
Since f(x) is 6, we can plug that into the equation:
6-4,
which gives us 2
3:00 pm, 12:30 pm, 10:00 pm,…. conjecture: next term:
The next arrival in the sequence 3:00 pm, 12:30 pm, 10:00 pm,... is 7:30 A.M.
The given sequence is 3:00 pm, 12:30 pm, 10:00 pm,...
Let us first find the difference between the arrivals from the given sequence
3:00 pm - 12:30 pm = 2:30
12:30 pm - 10:00 pm = 2:30
Since, each arrival time is 2 hours and 30 minutes prior to the previous arrival time.
Therefore, the next arrival is:
10:00 pm - 2:30 = 7:30 am
Thus, the next arrival in the sequence is 7:30 A.M.
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the manufacturer of brand a automobile tires claims that its tire can save gallons of fuel over miles of driving, as compared to a popular competitor (brand b). if gasoline costs $ per gallon, how much per mile driven does this tire save the customer (brand a versus brand b)?
This tire will save $0.008 per mile
Step-by-step explanation:First of all the given information is
110 gallons per 55,000 miles
We need to find
Money saved per mile
55000 = 110
1 = 110/55000
1 miles = 0.002 gallons
Price of 1 gallon = $4.00
Price for 1 mile = 0.002 x 4.00
Price for 1 mile = $0.008
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The question is missing vital information. Therefore, complete question is
The manufacturer of Brand A automobile tires claims that its tire can save 110 gallons of fuel over 55,000 miles of driving, as compared to a popular competitor (brand B). If gasoline costs $4.00 per gallon, how much per mile driven does this tire save the customer (Brand A versus Brand B)?
Find a linear function that models the relationship between the two variables and describe the slope and intercept (For example, if P = 7.5s +80 gives weekly pay P, as a function of number of units sold s, then the slope of 7.5 is the pay per unit sold and the intercept of 80 is the amount of the employees base pay each week.)
Housing prices in a particular neighborhood increased at rate of $1,200 per year. If you bought a home in 1960 for $45,000, what would it be worth today? Let H be the price of the house and let t be the number of years since 1960 and find a formula for that relates the two, then use it to answer the question.
The linear function that models the relationship between the two variables is y = 1200x+ 45000
How to find a linear function that models the relationship between the two variables and describe the slope and intercept?The given parameters are
Rate = $1200 per year
Initial price in 1960 = $45000
In a linear function, we have
Slope, m = Rate
Y-intercept, c = Initial price
A linear equation is represented s
y = mx + c
So, we have
y = 1200x+ 45000
Hence, the linear function that models the relationship between the two variables is y = 1200x+ 45000
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if a student received 13/15 on their math quiz, what percentage did the student get on that quiz? (round to the nearest whole percentage)
The student got 87% in the quiz.
Given,
Marks obtained by student = 13/15
percentage received = 13/15 × 100
= 86.6%
= 87%(nearest whole percent)
What is meant by percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.
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At the Throw Factory, the assembly line produces 122 baseballs in a batch. The baseballs are packaged in boxes with 11 each. If 8 batches are made in one day, how many baseballs will be leftover at the end of it?
The baseballs produced in a day would fill 88 boxes and there would be 8 baseballs leftover.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.
The assembly line produces 122 baseballs in a batch, If 8 batches are made in one day hence:
Total baseballs produced = 8 batches * 122 balls per batch = 976 balls
Each box contain 11 baseballs each, hence:
number of boxes = 88 boxes and 8 baseballs remaining
The baseballs produced in a day would fill 88 boxes and there would be 8 baseballs leftover.
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Use your calculator to work out
a) (1.8 × 10⁹) + (6.2 × 107)
b) (6.4 x 10-¹¹) - (5.3 × 10-¹2)
Give your answers in standard form.
Answer:
a) 1800000663.4
b) 0.0000000000587
Step-by-step explanation:
Answer:
(a) (1.8×10^9)=1800000000
(6.2×107)=663.4
So therfore,
(1.8×10^9)+(6.2×107)=1800000663
Note: "^" means exponential (power)
Step-by-step explanation:
(b) (6.4×10^-11)=0.000000000064
(5.3×10^-12)=0.0000000000053
Therefore ,
Answer= 0.0000000000587
Which point belongs on the line y = 2x - 5?
(1,3)
(0.7)
(2,-1)
(3.-11)
Answer:
(2, - 1 )
Step-by-step explanation:
to determine which point belongs on the line, substitute the x- coordinate into the right side and if the value obtained is equal to the y- coordinate then it lies on the line.
(1, 3 ) : y = 2(1) - 5 = 2 - 5 = - 3 ≠ 3 ← not on line
(0, 7 ) : y = 2(0) - 5 = 0 - 5 = - 5 ≠ 7 ← not on line
(2, - 1 ) : y = 2(2) - 5 = 4 - 5 = - 1 ← lies on line
(3, - 11 ) : y = 2(3) - 5 = 6 - 5 = 1 ≠ - 11 ← not on line
Which of the following expressions is NOT equal to the others?
ab + ac
(b + c)a
a(b + c)
ab + c
The expression that is NOT equal to the others is ab + c
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine which of the following expressions is NOT equal to the others?The expressions are given as
ab + ac
(b + c)a
a(b + c)
ab + c
Next, we evaluate the expressions as follows
So, we have
ab + ac = ab + ac
(b + c)a = ab + ac
a(b + c) = ab + ac
ab + c = ab + c
See that all but the last expression have a value of ab + ac
Hence, the expression that is NOT equal to the others is ab + c
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5x+6y=-48 in slope intercept form
Answer:
y=-5/6x-8
Step-by-step explanation:
Slope intercept form: y=mx+b
5x+6y=-48
6y=-5x-48
y=-5/6x-8
i need help (30 pt) + brainliest
Answer:
x + y
Step-by-step explanation:
x + y = - [tex]\frac{11}{8}[/tex] + (- [tex]\frac{11}{4}[/tex]) = - [tex]\frac{11}{8}[/tex] - [tex]\frac{11}{4}[/tex] = - [tex]\frac{11}{8}[/tex] - [tex]\frac{22}{8}[/tex] = - [tex]\frac{33}{8}[/tex]
x - y = - [tex]\frac{11}{8}[/tex] - (- [tex]\frac{11}{4}[/tex] ) = - [tex]\frac{11}{8}[/tex] + [tex]\frac{11}{4}[/tex] = - [tex]\frac{11}{8}[/tex] + [tex]\frac{22}{8}[/tex] = [tex]\frac{11}{8}[/tex]
then
x + y < 0 , that is x + y is negative
Find the distance between -452 and 12.
Answer: 440
Step-by-step explanation: You add 12 to -452
I believe how you find the difference between two numbers is by adding their absolute value. The absolute value ignores the negative and positive values and is really just the distance of the number from 0.
So, with -452 and 12, the distance between them is 464 units
answer: 464
Im sorry if that was confusing!
Find an equation for the line below.
To find the equation of a line, you need to use the formula [tex]m=\frac{y-y_0}{x-x_0}=\frac{rise}{run}[/tex] to find the slope first.
To find the respective points that we need to plug into this formula, we need to use the axes and their values.
We can see that the first point (point on the left) has a position of (-1, -1). For the second point, we see that it has a position of (5, 1).
** remember, whenever you find the position of a point, it's always (x, y). Now that we have our values, we can plug and chug!
[tex]m=\frac{y-y_0}{x-x_0}\\m= \frac{1-(-1)}{5-(-1)} \\m=\frac{1+1}{5+1} \\m=\frac{2}{6} \\m=\frac{1}{3}[/tex]
So your answer should be 1/3 for your slope.
Now you need to find your y intercept, or what y will equal if x = 0. We can find this by using the information we now have. Remember, the equation for a linear line is [tex]y=mx+b[/tex]. So now, we plug in any of the two points (it doesn't matter which pair!) and solve for b!
[tex]y=mx+b\\-1=\frac{1}{3}(-1)+b\\ -1=-\frac{1}{3}+b\\-1+\frac{1}{3}=b\\b=-\frac{2}{3}[/tex]
Now we have b!
So now, we can fully finish the equation of this line. Your final answer should be: y = (1/3)x - 2/3 or [tex]y=\frac{1}{3}x-\frac{2}{3}[/tex].
Hope this helps!
ab - cd=?
A=2
B=-3
C=4
D=5
Answer:
x = -26
Step-by-step explanation:
ab - cd = ?
2(-3) - 4(5) = x
-6 - 20 = x
-26 = x
A equals two, B equals -3, sequels, four, D equals five
Answer:
i dont get what the question is
write the ratio 9:4 in the form n:1
The ratio in the form of n:1 is 2.25:1.
what is ratio?When comparing two amounts of the same sort, ratio is utilised. For two numbers, a and b, the ratio formula is written as a: b or a/b. Two or more ratios are said to be in proportion if they are all equal.
A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same sort and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
ratio 9:4
Now we have to write the ratio in the form of n:1
So, divide the ratio by 4
=9 /4 : 4/4
=9/4: 1
=2.25 :1
Hence, the ratio in the form of n:1 is 2.25:1.
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