The measure of all the angles from 1 to 20 is obtained from the concepts related to transversal lines.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
Given, AB || CD and EF || GH.
m∠5 = 63° and m∠8 = 80°.
Now from all the concepts of vertically opposite angles are equal,
pair of alternate angles are equal, the sum of all the sides of interior angles in a triangle is 180°, pair of linear angles is 180°, measure of an exterior angle in a triangle is the sum of two opposite interior angles we obtain that,
m∠1 = 37°, m∠2 = 63°, m∠3 = 80°, m∠4 = 37°, m∠5 = 63°, m∠6 = 80°,
m∠7 = 100°, m∠11, = 63°, m∠12 = 80°, m∠13 = 47°. m∠14 = 63°, m∠15 = 80°,
m∠16 = 47°, m∠17 = 110°, m∠18 = 70°, m∠19 = 110°, m∠20 = 70°.
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What is the value of x if 7−9x=10?
Answer:
[tex]\frac{-1}{3}[/tex]
Step-by-step explanation:
7 - 9x = 10 Subtract 7 from both sides of the eqaution
-9x = 3 Divide both sides by -9
x = [tex]\frac{-3}{9}[/tex] = [tex]\frac{-1}{3}[/tex]
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4 . If there were 6597 total votes, how many yes votes were there?
The required number of people who voted for yes is 3665.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
here,
As mentioned in the question,
The people residing in the city voted on whether to raise property taxes. The ratio of yes to no is 5 to 4.
The multiplication of the proportion of yes to the total proportion of total votes gives the number of people who voted for yes.
The ratio of people yes to no = 5:4
Proportion of yes voted people = 5 / 9
The number of people who voted for yes = 5 / 9 × 6597 = 3665.
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please help solve problem (picture)
The outpatient surgery as the percent of total surgeries in the year 1996 is 86 %
What is logarithmic function ?The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.
According to the given information
Consider the logarithmic function:
[tex]f(x)=-1311+306 \ln x[/tex]
Here x is the number of years since 1990 and f(x) is the outpatient surgery as the percent of total surgeries.
In the year 1996:
[tex]& x=96 \\[/tex]
[tex]& f(96)=-1311+306 \ln (96) \\[/tex]
[tex]& =-1311+1396.69 \\[/tex]
[tex]& =85.69 \\[/tex]
[tex]& \approx 86 \\[/tex]
Thus,
The outpatient surgery as the percent of total surgeries in the year 1996 is 86 %
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(1,6) and (3,8) find the slope
Answer
1
Step-by-step explanation:
1
(y2-y1) / (x2-x1)
(rise over run)
(8-6) / (3-1)
2/2
1
There are two times the amount of milk chocolate bars as there are dark chocolate bars in a box. If there are a total of 138 candy bars in the box, How many of each kinds of chocolate bar are in the box?
The candy box has 46 chocolate bars and 92 milk bars.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.
Given is that there are two times the amount of milk chocolate bars as there are dark chocolate bars in a box. There are a total of 138 candy bars in the box.
Assume that there are [x] chocolate bars in the box. Then, there will be [2x] milk bars. So, we can write -
2x + x = 138
3x = 138
x = 138/3
x = 46
Therefore, there are 46 chocolate bars and (2 x 46) or 92 milk bars in the candy box.
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5 w =3 what is it find the w
Answer:
w = 3/5
Step-by-step explanation:
Given equation,
→ 5w = 3
Now the value of w will be,
→ 5w = 3
→ w = 3 ÷ 5
→ [ w = 3/5 ]
Hence, the value of w is 3/5.
Find the value of x in the equation
Answer:
Step-by-step explanation:
AV is an angle bisector. Lets name the intersection between AV and OU Y. Hence, OY=UY. We substitute and get :
7x+2=3x+10 |-3x
4x+2=10 |-2
4x=8 | /4
x=2
express this formula as a probabilistic relationship between poisson and gamma random variables. math.stackexchange
The gamma as well as Poisson distributions have an intriguing link. For each x, P(X x) = P(Y x), (1) where Y Poisson(x/), if X is a gamma(x, y) random variable and x is an integer.
What does the word "Poisson" mean?The probability density function f(x)=e−μμxx!, which approximates the binomial distribution and is frequently employed as a mathematical model of something like the number of outcomes acquired in an appropriate period of time and space, has a mean equal to its variance.
What is the purpose of Poisson?A Poisson distribution can be used to forecast or explain how many events will take place over a specific period of time or space. "Events" might include anything from illness occurrences towards to customer purchases to meteor strikes. Any defined period of time or area, such as 10 days or 5 square inches, can be used as the interval.
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Two basketball players are trying to have the most
points per game for the season. The current leader has
2112 points in 77 games and the second place player
has 2020 in 74 games. How many points per game did
the leading team score?
Round to the nearest tenth
The leading team scored 27.43 points per game in basket ball game.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The points scored by current leader in 77 basket ball game = 2112,
And the points scored by second place player in 74 game = 2020.
The point scored by players in one match, use ratio property,
By current leader,
Points scored in 77 games = 2112
points scored in 1 game = 2112/77 = 27.43
By second place leader,
Points scored in 74 games = 2020,
Points scored in 1 game = 27.3
The leading team scored 27.43 points per game.
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PLEASE HELP THE QUESTION IN THE PICTURE.
the answer is 4/5 this is know to be hard
Can someone please help me with this question
To calculate the height of the model, the architect should [divide] the actual height of the building by [10]
The height of the model is [6] inches.
How to complete the statement explaining how to find the height of the model the architect made?A scale is a factor by which a quantity is multiplied or divided in order to change its magnitude. Scales are commonly used to change the size of a figure without changing its shape or orientation.
Given:
A scale = 1 inch represents 10 feet
The height of the actual building = 60 feet
Since the model is a smaller version of the actual building, in order to get the height of the model, you have to divide the height of the actual building by the scale (10).
Thus, height of the model = 60/10 = 6 inches
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What are all of the real solutions of f(x)=0
Solve the proportion using cross products. Round t the nearest hundredth if necessary 22 miles /55 hours = 12 miles/k hours
Solving the proportion 22 miles/ 55 hours :: 12 miles/ k hours using cross products, value of h is 30.
Define proportion.Comparing two integers that each stand for a component of a whole results in a proportion. In essence, a percentage declares that two fractions are equal, regardless of the difference in amount. For instance, the ratio of half of 10 marbles to half of 50 marbles is 10. When determining if two ratios or fractions are equivalent, the proportion formula is utilized. By dividing the supplied values, we may determine the missing value. One way to express the percentage formula is as a: Whereas a and d are the extreme terms and b and c are the mean terms, b::c: d = a/b = c/d.
Given,
22 miles/ 55 hours = 12 miles/ k hours
Solving the proportion using cross products,
22 × h = 12 × 55
22 × h = 660
h = 660 ÷ 22
h = 30
Solving the proportion 22 miles/ 55 hours :: 12 miles/ k hours using cross products, value of h is 30.
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Which formula describes acceleration?
m²
m/s²
m/s
s/m
Answer:
M/s^2
Step-by-step explanation:
Please help is due tonight
The linear function that has the greatest initial value is Function C.
Function B has the greatest rate of change.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Function A:
The initial value is o.
f(0) = 0
The rate of change.
= (f(4) - f(2)) / 4 - 2
= (10 - 5) / 2
= 5/2
= 2.5
Function B:
The initial value is
y = 3x - 1
y = 3 x 0 - 1 = 0 - 1 = -1
Let y = f(x)
The rate of change.
= (f(2) - f(1)) / (2 - 1)
= (5 - 2) / 1
= 3
Function C:
The initial value is 2.
(0, 2) is considered as when x = 0, y = 2.
Take two coordinates from the graph.
(3, 3) and (6, 4)
The rate of change.
= (4 - 3) / (6 - 3)
= 1/3
= 0.33
Thus,
Function C has the greatest initial value.
Function B has the greatest rate of change.
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Asha has 5 more 40¢ stamps than 30¢ stamps. The total value of her
40¢ stamps is $5.20 more than that of her 30¢ stamps. How many of the
40¢ stamps does Asha have?
Answer:
37?
Step-by-step explanation:
What is the slope of the line that passes through the points (8, -6) and (5, -1)
Answer:
-5/3
Step-by-step explanation:
trust me bro
Answer:
Use desmos
Step-by-step explanation:
Basically it is a graphing calculator put your points
(18 - 4) to the power of 2
Answer:
196
Step-by-step explanation:
[tex](18-4){2}[/tex] = (18-4) x (18-4) = 14 x 14 = 196
A swimming pool shaped like a rectangular prism measures 50 meters long 25 meters wide Ann’s 3 meters deep
Answer:
what is the question please ask properly
Answer:
volume = 3750 m³
Step-by-step explanation:
volume = length × width × height
volume = 50 m × 25 m × 3 m
volume = 3750 m³
For each binomial probability statement below determine the corresponding normal distribution probability statement after a continuity correction. P(x> 118); P(x<118); P(x > 118)?
The probability statements after continuity correction are given as follows:
P(x > 118) = P(x > 117.5).P(X < 118) = P(X < 118.5).P(X = 118) = P(117.5 < x < 118.5).What is continuity correction?Continuity correction is used as a "correction" when a continuous distribution is used to approximate a discrete distribution. One example of this is the approximation of the binomial distribution to the normal distribution.
Hence, using continuity correction, the range of values that corresponds to a number of exactly x is given as follows:
x - 0.5 < x < x + 0.5.
Thus the range of values of 118 is given as follows:
117.5 < x < 118.5.
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A pizza with 3 toppings costs $12.45. A pizza with 7
toppings costs $17.05. What is the equation that
determines the cost of a pizza (c) based on the number
of toppings (t)?
Answer: it costs $4.15 for a pizza with 1 topping. Is that what you meant?
Step-by-step explanation:
The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (,) and (,) to find the number of soda bottles the machine can make each minute.
The number of b the machine can make each minute are 40.
What is machine?
A physical system known as a machine uses power to apply forces, regulate movement, and carry out an action. In addition to naturally occurring biological macromolecules like molecular machines, the term is frequently used to describe artificial devices that use engines or motors.
Given:
The graph shows the relationship between time and the number of soda bottles a machine can make.
We have to find the number of soda bottles the machine can make each minute by using the points (3, 120) and (7, 280).
Let x is the time in minutes and y is the number of soda bottles.
From the given points in 3 minutes machine can make 120 soda bottles.
So, in each minute machine can make 120/3 = 40 soda bottles.
Hence, the number of b the machine can make each minute are 40.
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Complete question:
Complete question is attached below.
Mary has 26 coins. It equals $4.85 in dimes and quarters. How much of each kind of coin
does she have
Answer: 15 quarters, 10 dimes, and a penny
Step-by-step explanation: Hope it helps, please pick brainliest.
Answer:
15 quarters, 10 dimes, and a penny
The height of the cylinder is 25 inches and the radius of its base is 5 inches. What is the surface area of this cylinder, in terms of n (pie) PLS LOOK AT THE PHOTO AND HELP ME OUR, I’M GETTING TIMED
ok you need formula for surface area.
SA = πrh+2πr^2
Plug in 25 and 5
SA = 2π(5)(25)+2π(5)^2
SA = 10pi*25 + 2pi(25)
SA = 250pi + 50pi
SA = 300pi
Hope this helps :)
Jeron
Isaiah recorded the grade-level and instrument of everyone in the middle school School of Rock below.
Seventh Grade Students
Instrument # of Students
Guitar 11
Bass 3
Drums 3
Keyboard 4
Eighth Grade Students
Instrument # of Students
Guitar 4
Bass 10
Drums 6
Keyboard 3
Based on these results, express the probability that an eighth grader chosen at random will play the guitar as a decimal to the nearest hundredth.
Answer:
0.17
Step-by-step explanation:
You want the probability that a randomly chosen 8th grader will play the guitar.
Eighth gradersThe table tells us that there are 4 eighth grade students that play the guitar. The total number of eighth grade students is 4+10+6+3 = 23. When one is chosen at random, the probability they play the guitar is ...
(4 students)/(23 students) = 4/23 ≈ 0.17
The probability an 8th grader will play the guitar is about 0.17.
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Find a solution to the linear equation y=2x+6 by filling in the boxes with a valid value of x and y.
Answer:
The answer to the linear equation y = 2x + 6 is (x, y) = (1, 2.5). This means that if we plug in x = 1 into the equation, we get y = 2.5.
Step-by-step explanation:
To find the solution to the linear equation y = 2x + 6, we can first rewrite the equation in slope-intercept form. This is done by rearranging the equation to have the form y = mx + b, where m is the slope of the line and b is the y-intercept.
In this case, we have y = 2x + 6. To put this equation in slope-intercept form, we need to isolate the y-term on one side of the equation. We can do this by subtracting 2x from both sides, which gives us y - 2x = 6.
Next, we need to divide both sides of the equation by the coefficient of the y-term, which is -2 in this case. This gives us the equation y = -(1/2)x + 3.
Finally, we can plug in any value of x that we want to find the corresponding value of y. For example, if we plug in x = 1, we get y = -(1/2) * 1 + 3 = 2.5. Therefore, the solution to the equation y = 2x + 6 is (x, y) = (1, 2.5).
In general, if we want to find the solution to a linear equation in slope-intercept form, we can plug in any value of x that we want to find the corresponding value of y. This process is called graphing the line, and it is a useful way to visualize the solutions to linear equations.
computer is not intelligence why
Help pls I don’t understand
Answer:
3. (x, y) = (20, 30)
4. (x, y) = (30, 4)
Step-by-step explanation:
You have equilateral triangles in two different configurations, and you want to find the values marked x and y.
3.All of the angles marked with an arc are congruent, so all are 60°. The angle marked 80° is an external angle to the top/left triangle. Its value is the sum of the values of the remote interior angles:
80° = 60° +x°
20° = x° . . . . . . . subtract 60°
x = 20
The sides of the equilateral triangle are congruent, so all are length 46. That means the right side is ...
16 +y = 46
y = 30 . . . . . . . subtract 16
(x, y) = (20, 30)
4.All of the angles marked with an arc are congruent, so all are 60°. The top 60° angle of the equilateral triangle is an external angle to the isosceles triangle at top/right. Its two base angles are the remote interior angles with respect to that 60° exterior angle, so their sum is 60°:
x° +x° = 60°
x = 30
The two marked legs of the isosceles triangle are both 20, which means all sides of the equilateral triangle are length 20.
5y = 20
y = 4 . . . . . . . divide by 5
(x, y) = (30, 4)
50 POINTS AND THE BRAINLIEST!! These items are all on sale with one-third off. What was the full price of each?
Sale price: Original full price:
£32.24 £_________
£86.08 £_________
£105.48 £_________
£230.62 £___________
Answer:
A. £48.36
B. £129.12
C. £158.22
D. £345.93
Step-by-step explanation:
Divide by two and add the quotient for each question to get the answer.
PLEASE HELP 10 FREE BRAINLY POINTS IF YOU ANSWER THIS
Find each probability and then order from least probable to most probable.
Answer:
The probabilities are:
1. 1/6
2. 1/2
3. 9/14
4. 0
5. 1
So ordering from least to most probable:
4. 7 on a 6 sided die
1. 4 on a 6 sided die
2. heads with a coin
3. red or green marble
5. <7 on a 6 sided die.
Step-by-step explanation:
1. The probability of rolling 4 on a 6-sided die is 1/6, as each side is equally probable.
2. The probability of flipping a coin onto heads is 1/2, as there are 2 equally probable outcomes.
3. The probability of drawing red or green out of 6 red, 5 blue, 3 green is 9/14 (9 positive outcomes out of 14).
4. The probability of rolling a 7 with a 6 sided die is 0, as there is no such number on the die.
5. The probability of rolling a number less than 7 on a 6 sided die is 100%, or 1, because any outcome is positive (we can only roll numbers smaller than 7).
The probabilities are:
1. 1/6
2. 1/2
3. 9/14
4. 0
5. 1
So ordering from least to most probable:
4. 7 on a 6 sided die
1. 4 on a 6 sided die
2. heads with a coin
3. red or green marble
5. <7 on a 6 sided die.
Answer:
Step-by-step explanation:
all creds to person above
Please help me and with explanation too(English only)
Answer:
1
Step-by-step explanation:
The angles of a triangle must add up to 180 degrees, which gives the expression
180 = 111 + 34 = 35t
simplifying this expression gives
35 = 35t
Then solve for t to get
t = 1