Select the locations on the number line to plot the points 10/2 and 9/2​

The reasons for the proof are shown in the explanation below.

A transversal is straight line that intersect two parallel lines, thus producing a set of angles with some common properties.

The reasons for the proof required in the question are explained in the table below:

          STATEMENT                                    REASON

1. AB II DC ; m<BCD + m<BEF = 180^o      Given

2. <3 ≅ <1                                                    Corresponding angle theorem

3. <4 + <5 = 180^o                                      Definition of supplementary angles

4. <3 ≅ <5                                                   Vertical angle property

5. <5 ≅ <2                                                   Corresponding angle theorem

6. <3 ≅ <2                                      Corresponding property of vertical angles

7. BC II EF                                                   Definition of parallel lines

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Answer:

  (a, B, C) ≈ (9.15, 29.2°, 102.8°)

Step-by-step explanation:

The given angle lies between the given sides, so the law of sines cannot be used. The third side is ...

  a² = b² +c² -2bc·cos(A) ≈ 83.6452

  a ≈ √83.6452 ≈ 9.146

__

Then angle B is found from the law of sines. We want to find the smaller angle, so we can tell if the triangle is acute or obtuse.

  sin(B)/b = sin(A)/a

  B = arcsin(b/a·sin(A)) ≈ arcsin(0.48753)

  B ≈ 29.2°

  C = 180° -48° -29.2° = 102.8°

The solution to the triangle is (a, B, C) = (9.1, 29.2°, 102.8°).

Answer:

5 is the answer. hope this help you

Answer:

Step-by-step explanation:

Given

To find

Solution

Simplify and solve by substitution:

Answer:

$\(45\)

Step-by-step explanation:

\(30\)% \(\mathrm{of}\) $\(150\)

\(=\frac{30}{100}\times 150\\\)

\(=\) $\(45\)

Given:

There must be at least 8 students to form a club.

To find:

The inequality which shows the number of students needed to form a club.

Solution:

Let x be the number of students needed to form a club.

There must be at least 8 students to form a club. It means, we need 8 or more than 8 students to form a club.

So, the inequality which shows the number of students needed to form a club, is

\(x\geq 8\)

Therefore, the required inequality is \(x\geq 8\).

Solve the system of equations;

Therefore, the correct answer is

x = 3, y = 4

There are X automobiles, with a mean of 12.5 cars. The standard deviation for X is also SD = 12.0.

First, a data set's mean and standard deviation convey distinct information. The average (center) of a data collection is provided by mean (it is a measure of central tendency). You may learn about the range (dispersion) of data around the mean by looking at the standard deviation. We may investigate a data set's characteristics and characterize it using both the mean and standard deviation. To provide confidence intervals for data that has a normal distribution, they are frequently combined. If two or more data sets need to be compared:

The mean reveals whether data set is, on average, greater or lower (or better or worse). We can determine whether data set has a wider dispersion using the standard deviation (higher standard deviation means data is more spread out from the mean). Second, there are variations in how each metric is calculated. In particular, we utilize squaring to get the standard deviation but not the mean. We completely avoid using squaring when determining the mean of a data collection. Simply multiplying the total number of data points in the set by the sum of all the values in the data set yields the answer.

The mean is calculated as follows:

Mean = (all data values added together) / (number of data values)

However, when calculating standard deviation, we do employ squaring. We take the square of the deviation between each data point and the mean in particular.

The standard deviation equation is as follows:

Finally, when we add the identical value to each data point in the data set, the mean and standard deviation "respond" differently. If we multiply every value in a data collection by the constant "K":

No of the size of the data collection, the mean rises by precisely K.

No matter how many observations are in the data collection, the standard deviation does not vary. The identical value is then added.

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Answer:

Part 1: -10, -5, 0, 8 Part 2: -3/2, -15%, 0.80, 143%, 2 1/4

Step-by-step explanation:

Part 1: The lower the number, the lower the temperature
Part 2: Convert the fractions into decimals

2 1/4 = 2.25
-15% = -0.15
143% = 1.43
-3/2 = -1.5
0.80 = 0.80
The order from least to greatest is -3/2, -15%, 0.80, 143%, 2 1/4
Hope this helps :)

Answer:

B. 19

Step-by-step explanation:

A triangle has three angles that add up to 180°.

86 + 32 = 118°

180 - 118 = 62°

The third angle has to equal 62°.

3x + 5 = 62°

3x = 57

x = 19°

Hope that helps.

Answer:

\(86 + 32 + 3x + 5 = 180 \\ 123+ 3x = 180 \\ 3x = 57 \\ x = 19\)

Answer:

C)

Step-by-step explanation:

As it is 60 degree, and the whole circle is 360 degree, so we need to find 1/6 of the circumference of a circle, as C = 2*pi*r = 2*pi*3 = 6pi and 1/6 of it is pi.

-6x - 4y = 36

6x is subtracting on the left, then it will add on the right

-4y = 36 + 6x

-4 is multiplying on the left, then it will divide on the right

Distributing:

The x-intercept of function f(x) is x = 7.

We have,

Since the x-intercept of a function is the value of x at which the function equals zero, we can find it by setting f(x) = 0 and solving for x.

Let's assume that the function f(x) is a linear function of form f(x) = mx + b, where m is the slope and b is the y-intercept.

Since we know that f(-1) = 7 and f(5) = 7/2, we can set up two equations:

-7m + b = 7 (when x = -1)

5m + b = 7/2 (when x = 5)

To solve for m and b, we can subtract the first equation from the second to eliminate b:

5m + b - (-7m + b) = 7/2 - 7

12m = -13/2

m = -13/24

Now we can substitute m into either equation to solve for b:

-7(-13/24) + b = 7

b = 91/24

Therefore,

The function f(x) is f(x) = (-13/24)x + 91/24.

To find the x-intercept, we can set f(x) = 0:

(-13/24)x + 91/24 = 0

x = 7

Thus,

The x-intercept of function f(x) is x = 7.

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The correct answer is (1,1) because both of the lines meet together at these numbers

Answer:

55 + 26 = 9 x 9

Step-by-step explanation:

9 times 9 equals 81 so subtract 55 from 82

Answer:

2h-9

Step-by-step explanation:

Twice the height of h would be 2H and 9 less from that would be 2h-9

Hope this helps :) Plz mark brainliest <3

The two equations that have the same solution as the original equation are: 23p - 101 = 65p - 40 - p, 2.3p - 14.1 = 6.4p - 4

An equation is a mathematical statement that shows that two expressions are equal. It is usually written as an expression on the left-hand side (LHS) and an expression on the right-hand side (RHS) separated by an equal sign (=).

The expressions on both sides of the equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The variables in an equation represent unknown values that can vary, while the constants are fixed values that do not change.

Equations are used to represent mathematical relationships or describe real-world situations. They can be used to solve problems, make predictions, and test hypotheses.

To solve an equation, one must find the value of the variable that makes the LHS equal to the RHS. This is done by performing mathematical operations on both sides of the equation to isolate the variable. The goal is to get the variable by itself on one side of the equation, with a specific value on the other side.

Equations can be simple or complex, linear or nonlinear, and can involve one or more variables. Examples of equations include:

2x + 5 = 13

y = 3x^2 - 2x + 7

4a + 2b - 3c = 10

Equations are used in many areas of mathematics and science, including physics, chemistry, and engineering, among others.

The equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p are:

23p – 101 = 65p – 40 – p

2.3p – 14.1 = 6.4p – 4

To rewrite the given equation in a different form, we can simplify it using the distributive property and combining like terms:

2.3p - 10.1 = 6.5p - 4 - 0.01p

2.3p - 6.5p + 0.01p = -4 + 10.1

-4.19p = 6.1

p = -1.456

Now we can plug this value of p into each of the answer choices and see which ones give the same result:

23p - 101 = 65p - 40 - p

24p - 101 = 64p - 40

p = 3.5

This solution is not the same as the solution we found for the original equation, so this choice is not correct.

2.3p - 14.1 = 6.4p - 4

8.7p = 10.1

p = 1.16

This solution is also not the same as the solution we found for the original equation, so this choice is not correct.

Therefore, the two equations that have the same solution as the original equation are:

23p - 101 = 65p - 40 - p

2.3p - 14.1 = 6.4p - 4

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Answer:

The second quartile in the data set is $130 per night.

Step-by-step explanation:

Quartile is a type of quantile which divides the number of data set into even numbered sub groups. The second quartile is median of data set. This means that 5% of data lies within this point. The middle value between the median and highest value of data set. The second quartile in the data set must be 50% so the statement is not correct.

Answer:

Step 1: Calculate the mean of the data—this is xˉx, with, \bar, on top in the formula.

Step 2: Subtract the mean from each data point. ...

Step 3: Square each deviation to make it positive.

Step 4: Add the squared deviations together.

Step-by-step explanation:

can i get brainlyest

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

Use calculator soup while i was in college i used it and it helped SOOO much

Step-by-step explanation:

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

1. The interest is $ 117.

2. The amount is $ 1,317.

Step-by-step explanation:

The following data were obtained from the question:

Principal (P) = $ 1,200

Rate (R) = 3.25%

Time (T) = 3 years

Interest (I) =..?

Amount (A) =...?

1. Determination of the interest.

Principal (P) = $ 1,200

Rate (R) = 3.25%

Time (T) = 3 years

Interest (I) =..?

I = P × R × T / 100

I = 1200 × 3.25 × 3 / 100

I = $ 117

Therefore, the interest is = $ 117

2. Determination of the amount.

This can be obtained as follow:

Interest (I) = $ 117

Principal (P) = $ 1,200

Amount (A) =?

Amount (A) = principal (P) + interest (I)

A = P + I

A = 1200 + 117

A = $ 1,317

Therefore, the amount at the end of 3 years is $ 1,317

Answer:

B.) y= 5/4x - 4

Step-by-step explanation:

Slope intercept form

y = 1.25x +-4

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1: Calculating Slope (m).

m = y2-y1x2-x1

m = -4-10-4

m = -5-4

m = 1.25

Now putting value of m in equation (i)

y = 1.25x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (4,1) for calculating y-intercept:

y = mx + b

1 = 1.25(4) + b

1 = 5 + b

-4 = b

b = -4

Now putting value of b in equation (ii)

y = 1.25x + -4

x = 301/56

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expression

Given the algebraic expression,

\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)

Step 1:

Simplify the expression by converting the mixed numbers into improper fractions:

25/8 ÷ ( x - 119/28) = 17/18 + 11/6

Step 2: Simplify the right side of the equation

25/8 ÷( x - 119/28) = 17/18 + 33/18

25/8 ÷( x - 119/28) = 50/18

Step 3: Multiply both sides of the equation by (x - 119/28)

25/8 = 50/18 × (x - 119/28)

Step 4: Multiply both sides of the equation by (18/50)

25/8 × (18/50) = (x - 119/28)

Step 5: Simplify the left side of the equation

9/8 = (x - 119/28)

Step 6: Add 119/28 to both sides of the equation

9/8 + 119/28 = x

Step 7: Calculate the value of x:

x = 9/8 + 119/28

= 63/56 + 238/56

= 301/56

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Answer:

line MN

Step-by-step explanation:

If two planes intersect, then the intersection is a line.

Answer: line MN

The vertex format = a(x - h)^2 + k

where (h,k) is the vertex of quadratics

so, from the graph (h,k) = (-2, 8)

so,

y = a(x - h)^2 + k = a(x - (-2))^2 + 8

y = a ( x + 2)^2 + 8

as shown the graph pass through (0 , 0)

substitute with (0,0) to find a

so,

0 = 4a + 8

4a = -8

a = -2

y = -2 ( x + 2)^2 + 8

check by another point (-4 , 0)

if x = -4

y = -2 ( -4 + 2)^2 + 8 = -2 * 4 + 8 = -8 + 8 = 0

So, the answer is true

Answer:

2.83333333333

Step-by-step explanation:

(3 2/5) / (1 1/5) = 2.83333333333

Answer:

85/30 or 2.833333333

Step-by-step explanation:

When dividing fractions, you must find the reciprocal of the second number and multiply it as usual.

It is also much easier to solve after you convert these numbers to improper fractions.

In this case,

3 2/5 = 17/5

1 1/5 = 6/5

17/5 ÷ 6/5

17/5 x 5/6

85/30 (17/6 reduced)

or

2.83333333333333333333