7. In the first picture of two intersecting lines, what is the m ∠2? How do you know?

8. In the second picture of parallel lines cut by a transversal, which angle is supplementary to ∠8? How do you know?

9. The third picture shows parallel lines cut by a transversal. What is the m ∠2? How do you know?

10. Use the fourth picture of parallel lines cut by a transversal. What is the value of x?

To estimate the number of classmates who do not belong to a major political party, we can use the proportion of students in the sample who do not belong to a major political party as a basis.

Out of the 40 students surveyed, 10 do not belong to a major political party, so the proportion is 10/40 = 0.25.

We can then multiply this proportion by the total number of classmates to estimate the number who do not belong to a major political party:

0.25 * 250 classmates = 62.5 classmates

So about 62 or 63 of the 250 classmates are estimated to not belong to a major political party.

The table represents a linear function because the rate of change is constant or all the points lie on a straight line.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables

From the given table it is noticed that the line passes through points (-1, -2), (0, 0), (1. 2), and (2, 4).

The slope of the line is

Slope = (2- 0)/1-0)

The slope of the line is. It means the value of y increased by 5 if the value of x increased by 2.

From the given points we can notice that the value of y increased by 5 if the value of x increased by 2. So, the function has the same slope for any two points.

Since the rate of change (slope) is the same for all points, therefore the table represents a linear function.

Therefore, If we plot these points on a coordinate plane and connect then we get a straight line. I mean it is a  linear function.

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The equation that represents the given graph is: D. y = 2/5x - 3.

The slope-intercept form of the equation of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of a line that passes through two points (x1, y1) and (x2, y2), we can use the following steps:

So, for the line that passes through the points (0, -3) and (5, -1), the slope is (-1 - (-3)) / (5 - 0) = 2/5, and the y-intercept can be found by plugging in the slope and the point (0, -3) into the equation y = mx + b:

-3 = (2/5) * 0 + b

-3 = b

Therefore, the equation of the line that passes through (0, -3) and (5, -1) is:

y = (2/5)x - 3

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Below is an example formula that you could use in cell C5:

=IF(B5<15000, 0.05*B5, IF(B5<25000, 0.1*B5, 0.15*B5))

IF(B5<15000, 0.05*B5, ...) - If the value in B5 is less than $15,000, the formula calculates 0.05 * B5 (the 5% bonus), otherwise, it moves on to the next condition.

IF(B5<25000, 0.1*B5, ...) - If the value in B5 is less than $25,000 but greater than or equal to $15,000, the formula calculates 0.1 * B5 (the 10% bonus), otherwise, it moves on to the next condition.

0.15*B5 - If the value in B5 is greater than or equal to $25,000, the formula calculates 0.15 * B5 (the 15% bonus).

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Answer:

32ft

Step-by-step explanation:

Let's convert both the height of the person and the length of their shadow to feet so we can make a comparison.

1 foot = 12 inches

So the person's height in feet is:

5 feet + 6 inches / 12 inches/foot = 5.5 feet

The rule applied here is the concept of similar triangles. If the shadow of the person and the shadow of the flagpole are in the same proportion to their respective heights, then the two triangles formed by their heights and shadows are similar triangles. This means that the ratio of their heights to their shadow lengths is constant.

So, we can set the ratio of the person's height to their shadow length equal to the ratio of the flagpole's height to its shadow length and solve for the flagpole's height. This is done using the formula:

(person's height) / (person's shadow length) = (flagpole's height) / (flagpole's shadow length)

This is known as the proportionality rule, which states that two similar figures have the same ratios of corresponding sides.

Now, we have:

5.5/44 inches = x/16 feet

Cross multiplying, we get:

5.5 * 16 = x * 44

Solving for x:

x = 5.5 * 16 / 44

x = 32 feet

Therefore, the height of the flagpole is 32 feet.

Answer:

Option B. N=24; 1%-3.6; PV = ; PMT=-415; FV=0; P/Y=12; C/Y=12; PMT:END

Step-by-step explanation:

The TVM (Time Value of Money) Solver on a graphing calculator is used to calculate the present value (PV) of an investment. The input values for the solver include the number of periods (N), the interest rate (I%), the present value (PV), the payment (PMT), the future value (FV), the payment frequency per year (P/Y), and the compounding frequency per year (C/Y). In this case, the expression ($415)((1+0.003)24 - 1) is equivalent to the future value of an investment that receives a payment of $415 every period for 24 periods, with an interest rate of 0.3% per period. By plugging in N=24, I%=3.6, PV=0, PMT=-415, FV=0, P/Y=12, and C/Y=12 into the TVM Solver with PMT as the payment type, the same value for PV will be returned as the expression ($415)((1+0.003)24 - 1).

The solution is Option C.

The value of the equation is A = 4x ( 2x )² + 4x ( -2 ) + 2x² + 1 ( -2 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( 4x + 1 ) ( 2x² - 2 )   be equation (1)

On simplifying the equation , we get

A = 4x ( 2x² ) + 4x ( -2 ) + 2x² - 2

On further simplification , we get

A = 8x³ - 8x + 2x² - 2

Hence , the equation is A = 8x³ - 8x + 2x² - 2

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Without calculating,  the following which is a reasonable answer for 28 times 32 is 896 and is therefore denoted as option C.

This is referred to as the process of combining matrices, vectors, or other quantities under specific rules to obtain their product and the symbol is (×).

We were given 28×32 which when expanded to get the product will give us  896 is therefore the reason why option C was chosen in this scenario.

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The options are:

© 196

® 496

© 896

0 12,096

Answer:

2plus 2 is 4 you are jocking

Answer:

in the adjoining figure,pqrs is parallelogram.find the value of smr

Answer:

D. $0.22

Step-by-step explanation:

The pie is shaped like a circle

The area of a circle with radius r = πr²

This circular pie has a diameter of 8 inches

Radius = diameter/2 = 8/2 = 4 inches

Surface area of pie = π 4² = 16 π square inches

Cost of pizza = $11.05

Cost per square inch = Cost/Area = 11.05/16π = $0.22 rounded to nearest cent

The statement that is correct based on the expected value is:

Only Priya's

Option A is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

From the probability distribution,

The expected value E(X) = 0.80

This means,

The average possible outcomes.

Thus,

The expected value E(X) = 0.80 means the probability that the player makes a free throw is 0.80 on average.

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The inequality that will models the given scenerio is -

x > 21.5 hours.

Given is that A local gym charges nonmembers $10 per hour to use the tennis courts. Members pay a yearly fee of $300 and $4 per hour for using the tennis courts.

We can write the inequality as -

10x + 4x > 300

14x > 300

x > 21.5

Therefore, the inequality that will models the given scenerio is -

x > 21.5 hours.

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Answer:

22.49

19.99

Step-by-step explanation:

Answer:

$22.49 on the second day and 19.99 on the third.

The each blouse costs $8 and each skirt costs $12.

How to solve equation?

To solve an equation is to identify its solutions, which are the values that satisfy the condition specified by the equation, which is typically two expressions linked by an equals sign. When trying to find a solution, one or more variables are labeled as unknowns.

Let the price of each blouse be x and the price of each skirt be y.

Debra's total cost: 4x + 3y = 68

Sue's total cost: 6x + 3y = 84

From the two equations above, we can solve for x and y:

6x + 3y = 84

4x - 3y = -68

2x = 16

x = 8

Substitute x = 8 back into the first equation:

4x + 3y = 68

4 * 8 + 3y = 68

32 + 3y = 68

3y = 36

y = 12

So, The each blouse costs $8 and each skirt costs $12.

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Answer:

[tex]6\sqrt{3}[/tex]

Step-by-step explanation:

because of the 90-60-30 theorem

which [tex]6*\sqrt{3}=6\sqrt{3}[/tex]

[tex]\cfrac{7-2y}{6} \underset{\textit{greater than}}{~~ > ~~ }\cfrac{3y-7}{12}\implies 12(7-2y) > 6(3y-7) \\\\\\ 84-24y > 18y-42\implies 84 > 42y-42\implies 42 > 42y \\\\\\ \cfrac{42}{42} > y\implies {\Large \begin{array}{llll} 1 > y \end{array}}[/tex]

now, notice, on the last line we divided by 42, however 42 is a positive value, thus we didn't flip the inequality sign, recall that when dividing or multiplying by a negative value, the inequality sign flips, in this case it didn't.

The angles x and 148° are vertical angles and si the measure of the vertical angle x is equal to 148°.

Vertical angles also called vertically opposite angles are formed when two lines intersect each other, the opposite angles formed by these lines are vertically opposite angles and are equal to each other.

The angles 148° and x form vertical angles, so x = 148°

Therefore, since the angles x and 148° are vertical angles and and vertically opposite angles are equal, then the measure of the vertical angle x is equal to 148°.

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Answer: A

Step-by-step explanation: bc

The equation of a line that goes through the point (-8, 7) and is parallel to the line (24 -16).

The equation of a line that goes through the point (-8, 7) and is parallel to the line -9x+8and 24.

Two lines have equal slopes if they are parallel to one another. In other words, both equations have an identical ratio of the x and y coefficients.

For any real value of k, the equation for the line perpendicular to the line axe + by + c = 0 is given by axe + by + k = 0.

Thus, a line parallel to the line 9x + 8y - k = 0 has the equation 9x + 8y + k = 0.

We know that this line intersects at (-8, 7), thus 9(- 8) + 8(7) + k = 0 k= -16 Rightarrow

We obtain 9x + 8y - 16 = 0 by substituting k = - 16 in the line equation.

The solution is 0 for 9x + 8y - 16.

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Answer:

Step-by-step explanation: We can solve it by doing a cross multiplication, basically finding the X, which is how much he'd pay for 10 pounds:

24 ------- 4

x ---------- 10

You can read this as "if 24 dollars is 4 pounds, how many dollars is 10?"

Anyways, so we multiply on a "X" shape, like this:

4x = 24 x 10

The equation will look better if you multiply the X first.

CONTINUING:

4x = 24 x 10

4x = 240

x = 240/4

x = 60

Therefore, Jackson would pay 60 dollars for 10 pounds of apples.

We could also do this by finding out first how many pounds of apples you can get with 1 dollar, we would do the same thing as before, but now looking for the pounds, not the dollars:

24 ------- 4

1 --------- X

24x = 4

x= 4/24

x= 0,166

So you can buy 0,16 pounds of apples with 1 dollar, so if we want to find out how much we can buy with 24 dollars we multiply 0,166 by 24, which is 3,984, approximately 4 pounds.

But since working with small numbers is quite odd sometimes, I recommend you do this equation with the first method I mentioned.

Answer: 4; $1,012.50

Explanation:

The formula to calculate the interest charged on a credit card balance is:

Interest = (Balance * APR) / 12

Where,

Balance = $1,000

APR = 15%

So,

Interest = ($1,000 * 15%) / 12 = $12.50

Therefore, after one month, the total balance on the credit card would be $1,000 + $12.50 = $1,012.50.

Answer:

Step-by-step explanation:

hi do you want me to answer this for you? Because I can.

Answer:

I don't know if its right, but here's what I find.

The solution to the inequality is  -1 ≥ x ≥ 3

From the question, we have the following parameters that can be used in our computation:

|4x - 4| ≥ 8

Remove the absolute bracket

So, we have

-8 ≥ 4x - 4 ≥ 8

This gives

-4 ≥ 4x ≥ 12

Divide through by 5

-1 ≥ x ≥ 3

Hence, the solution is  -1 ≥ x ≥ 3

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From the result that we have here the total number of grey wolves is given as 32

To estimate the population of the grey wolves in the Northern Rockies, we need to find the average number of tagged grey wolves in each sample of 20 and use that as a estimate for the population.

The mean number of tagged wolves in the five samples is:

(1 + 2 + 2 + 1 + 2) / 5 = 8 / 5 = 1.6

This means that, on average, 1.6 wolves out of 20 have a tag. We can use this information to estimate the total population of the grey wolves in the Northern Rockies:

(1.6 tagged wolves per sample of 20) * (total number of grey wolves / 20) = total number of tagged grey wolves

Multiplying both sides of the equation by 20, we find:

total number of grey wolves = (1.6 tagged wolves per sample of 20) * 20 = 32 grey wolves

So, we estimate that there are approximately 32 grey wolves in the Northern Rockies.

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(i) one full tanker would be able to supply 5 colonies?

(ii) The tanker supplied 155.51 m³ of water in all

The volume of a cylinder can be calculated using the formula:

V = πr²h

where r and h are the radius and height of the cylinder

Thus, volume of tanker = π * 1² *70 = 70π m³

The volume of a cuboid can be calculated using the formula:

V = Length (L) × Width (W) × Height (W)

volume of cuboidal water tank = 7 * 2 * 3 = 42m³

The volume of sphere can be calculated using the formula:

V = 4/3 πr³

where is the radius of the sphere

r = 42/2 = 21 cm = 0.21 m

volume of spherical clay pots = 4/3 * π * 0.21³ = 0.012348π cm³

(i) Number of colonies = Volume of tanker/Volume of cuboidal tank

Number of colonies = 70π/42 = 5 colonies

(ii) Quantity of water = (3 * Volume of cuboidal tank) + (400 * volume of matkas)

Quantity of water = (3 * 42) + (400 * 0.012348π)

Quantity of water = 126 + 29.51

Quantity of water = 155.51 m³

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Answer:

30 leaves in one hour

Step-by-step explanation:

[tex]\frac{120}{4}=30[/tex]

Bobby around 131 minutes and Billy around 111 minutes

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

To solve the problem it is important to raise equations regarding what happens.

They tell us that Billy (Bi) and Bobby (Bo) can mow the lawn in 60 minutes. That is to say that what they prune in a minute is giving as follows:

1 / Bo + 1 / Bi = 1/60 (1)

They say Billy could mow the lawn only in 20 minutes less than it would take Bobby, therefore

1 / Bi = 1 / (Bo-20) (2)

Replacing (2) in (1) we have:

1 / Bo + 1 / (Bo-20) = 1/60

Resolving

(Bo - 20 + B0) / (Bo * (Bo-20) = 1/60

120 * Bo - 1200 = Bo ^ 2 - 20Bo

Rearranging:

Bo ^ 2 - 140Bo -1200 = 0

Now applying the general equation

Bo = 130.82 or Bo = 9.17, this last value cannot be because Billy took 20 minutes less and neither can he prune faster than the two together, therefore Bobby only takes around 131 minutes and Billy around 111 minutes

Checking with equation 1:

1/131 +1/111 = 1/60

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Height of giraffe that weighs 1184 kg = 4.74

Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.

Given,

Table for the height and weight of giraffe

height  weight(kg)

5.42  1273

4.45  1257

4.53  1152

4.29  1059

3.96  1070

5.42  1260

5.64  1310

3.74  1046

4.45  1139

4.11    1084

If height is x and weight is y

Linear regression equation

y = A + Bx

By the using calculator(calculations are attached below)

y = 137.30504x + 533.25952

If weight is 1184

1184 = 137.30504x + 533.25952

x =( 1184 - 533.25952)/137.30504

x = 650.74048/137.30504

x = 4.73937796

Rounded to two decimal places

Height x = 4.74

Hence, 4.74 is the height of 1184 kg giraffe.

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The required difference between ratios, rates, and unit rates has been shown.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Ratios, rates, and unit rates are the fraction value of one with respect to the others. the basic difference between the ratios, rates, and unit rates is given as ratios are the fraction between either dependent or non-dependent values, while rates are changes of value with respect to other values. unit rate is a change of value per unit change in the respective value.

Thus, the required difference between ratios, rates, and unit rates has been shown.

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