Write an algebraic equation to match this graph.

The value of the angle m∠4 is 105 degrees.

The sum of angles in a quadrilateral is 360 degrees.

Therefore,

m∠1 + m∠2  + m∠3 + m∠4 = 360°

Hence,

x + x + 10 + x + 20 + x + 30 = 360

4x + 60 = 360

4x = 360 - 60

4x = 300

x = 360 / 4

x = 75

Therefore,

m∠4 = 75 + 30 = 105°

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Answer:

(2,3),(4,3),(-2,-3),(-4,-3)

Step-by-step explanation:

A function is defined as a relation in which each domain element (x-value) is paired with exactly one range element (y-value).

This means that each value we input for x must have only one possible output. If the same x-value yields more than one y-value, it is not a function.

The correct answer, as shown above, meets the criteria of a function, as each x-value is shown to produce exactly one y-value. In this set of ordered pairs, if x = 2, then y = 3, and if x = -2, then x = -3.

A set of ordered pairs is not a function if there are ordered pairs with the same x-values but different y-values.

In the other sets of ordered pairs, one x-value has more than one possible y-value. Let's use the last set as an example:

(5,1),(5,2),(5,3),(5,4)

Inputting 5 as x produces four different y values; there is no one y value for the x-value. y could equal 1, 2, 3, or 4.

Answer:

104

Step-by-step explanation:

women = 8/8

men = 5/8

all workers = 8/8 + 5/8 = 13/8

extra women workers = 8/8 - 5/8 = 3/8

so...

3/8 = 24

13/8 = x

( cross multiplication method)

3/8 x = 39

x = 104

Hence, there are 104 workers

Answer:

104 workers

Step-by-step explanation:

w = women

m = men = 5/8 w

w - 5/8 w = 24

w = 64      then m = 5/8 * 64 = 40        total = 104

Answer:

1. y ax

|
A-------------------------------B

|

------------C---------------------

|

|__________________x ax

for this, your A might be (0,5), B (5,5), C (2,2).

parallel means railroad tracks: same slope, different intercepts.

line AB in this case has a slope of 0, intercept (0,5), so y₁=0x+5 or just y₁=5

the line passing through C also has slope 0, but intercept (0,2), so y₂=0x+2 or just y₂=2

2. perpendicular means that the slopes of two lines multiply out to -1. If line AB has, for example, a slope of 2/3, then the line passing through C would have slope -3/2 (negative reciprocal). To make things easier have either point A or B be on the x or y axis

khan academy has some helpful videos :)

https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-parallel-perpendicular-eq/v/perpendicular-lines

m<A = 28

m<B = 96

m<C = 56

Answer:

Your answer is ∠PQR=(1/2)* m arc PR.

Step-by-step explanation:

The Angle Described is one that has its vertex in the circumference. The inscribed angle measures half of the arc it comprises.

So, in this problem, The inscribed angle=∠PQR

The arc it comprises=m arc PR too.

So therefore:

∠PQR=(1/2)* m arc PR is the answer

Answer:

62

Step-by-step explanation:

1. To find the total area, we must find the area of the three individual gardens and sum them together

2. Since the gardens are square, the area is equal to the side length squared

3. Therefore, square the sides and sum:

3^2 = 9

7^2 = 49

2^2 = 4

4+9+49 = 62

Answer:

===================

a) Use the distance formula:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute the coordinates and calculate:

[tex]d=\sqrt{(5-(-1))^2+(2-10)^2} =\sqrt{6^2+(-8)^2} =\sqrt{36+64} =\sqrt{100} =10[/tex]

The distance is AB = 10 units

b) Use midpoint formula and find x and y- coordinates of this point:

[tex]x= \cfrac{x_1+x_2}{2}[/tex]    and    [tex]y= \cfrac{y_1+y_2}{2}[/tex]

Substitute coordinates and find the midpoint:

[tex]x= \cfrac{-1+5}{2} =2[/tex]  and  [tex]y= \cfrac{10+2}{2}=6[/tex]

The midpoint is (2, 6)

Answer:

Length of line segment AB = 10 units

Midpoint of line segment AB = (2, 6)

Step-by-step explanation:

To find length, apply the distance formula :

To find the midpoint :

Answer:

a b f would all be the correct answers

Step-by-step explanation:

Less than looks to the left

Greater than looks right

Answer:

p = 3

q = 4

Step-by-step explanation:

Rotation by +90° (clockwise) about the origin:  (x, y) → (y, -x)

Therefore, (p, 4) rotated by +90° about the origin:

(p, 4) → (4, -p)

Therefore:

(4, -p) = (q, -3)

⇒ p = 3

⇒ q = 4

Therefore, (3, 4) is mapped into (4, -3) under a rotation by +90° about the origin.

Quinn needs to save another $275.

The money that she needs will be equal to the difference between the amount that she wants to save, and the amount that she already has.

The difference is:

D = $300 - $25 = $275

This means that, to reach her goal this year, Quinn needs to save another $275.

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Answer:

The rate of growth of the population is -400, this means the growth of the population from year 1960 to 1989 has dropped by 400 per city.

Step-by-step explanation:

It is given that in a city's population in the year 1960 was 287500 , and in the year of 1989 the population was 275900 .

It is required to compute the rate of growth of population and make a statement about the population rate of 1989 with the year 1989 and the time taken to change the population.

Step 1 of 1

It is given that in a city's population in the year 1960 was 287500 , and in the year of 1989 the population was 275900 .

To find the rate of growth of population and make a statement about the population rate of change in people per year.

Now let f(x) be the number of population and x be the year and use formula of rate of change to find the change in population,

[tex]$m=\frac{f\left(x_{2}\right)-f\left(x_{1}\right)}{x_{2}-x_{1}}$[/tex]

Now substitute, 275900 for [tex]$f\left(x_{2}\right)[/tex], 287500 for  then,

[tex]$$\begin{aligned}m &=\frac{275900-287500}{1989-1960} \\&=\frac{-11600}{29} \\&=-400\end{aligned}$$[/tex]

The rate of growth of population -400, so there is a drop in the population by 400 per city.

Answer:

1136/295 cm

Step-by-step explanation:

Corresponding lengths of similar figures are proportional.

If we let the radius of the second cylinder be x,

x/6.4 = 7.1/11.8

x = 6.4(7.1/11.8) = 1136/295 cm

Answer:

F = 2

Step-by-step explanation:

Answer:6

Step-by-step explanation:i did the quiz

Step-by-step explanation:

Combine common terms

(3x²+5x²)+(7x-4x)+(-5+11)

8x²+3x+6

The polynomial that represents the total area of both plots of land will be;  8x²+3x+6

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

We are given that ;

The area of Plot A can be represented by 3x² +7x - 5, and the area of Plot B can be represented by 5x² - 4x + 11.

So the polynomial that represents the total area of both plots of land

Now Combine common terms;

(3x²+5x²)+(7x-4x)+(-5+11)

Then we get;

8x²+3x+6

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p^1

q^4

r^2

Is this what your asking for and also can you please mark me as brainlist. Thank you

Answer:

3

Step-by-step explanation:

9 divided by 3 is 3...

hope this helped

Answer:

its 3

Step-by-step explanation:

im doing summer school rn lol

The hypothesis which can be used to show whether data provide strong evidence or not are: [tex]H_{0}:p_{1}[/tex]≠[tex]p_{2}[/tex] and [tex]H_{1}:p_{1}=p_{2}[/tex] where [tex]p_{1} and p_{2}[/tex] are the proportions of Americans and chinese  people who use mobile phones to access internet.

Given proportion of Americans uses mobile phones is 17%. Proportion of chinese uses mobile phones is 38%.

Hypothesis are the statements which can be tested through its validity.  There can be  null hypothesis and alternate hypothesis.

The hypothesis which can be used are as under:

[tex]H_{0} :[/tex][tex]p_{1}[/tex]≠[tex]p_{2}[/tex]

[tex]H_{1}:p_{1} =p_{2}[/tex]

We have used equal to signs because we have to check whether they are different or not.

We cannot check hypothesis as we don't have standard deviation.

Hence the hypothesis for this test are: [tex]H_{0} :p_{1}[/tex]≠[tex]p_{2}[/tex] and [tex]H_{1} :p_{1} =p_{2}[/tex].

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Answer:

144

Step-by-step explanation:

Base:16

Height: 18

Triangle area formula: (bxh)/2

16x18=288

288/2=144

Answer:

13

Step-by-step explanation:

cos17 = x/14

x = 14cos17

x= 13.38826658

to the nearest hundredth

x=13

Using the triangle midsegment theorem, x = 5; BC = 10 units.

According to the triangle midsegment theorem, ED = 1/2(BA).

Given the following:

ED = x + 2

BA = 4x - 6

x + 2 = 1/2(4x - 6)

2(x + 2) = 4x - 6

2x + 4 = 4x - 6

2x - 4x = -4 - 6

-2x = -10

x = 5

BC = 2(BE)

BC = 2(x)

BC = 2(5)

BC = 10 units

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Answer:

D

Triangle Midsegment

5

10

Step-by-step explanation:

E2020 Geometry B!!:3

Answer:

Length equals 16 and Width equals 4

Step-by-step explanation:

First let us create an equation. We can use L and W for length and width.

If the length is 4 times the width, then we end up with: L = 4W

It then says, " If its length were diminished by 6 meters and its width were increased by 6 meters, it would be a square."

Since a square has an equal length and width then we end up with:

L - 6 = W + 6

Knowing this we can just substitute the first equation into the second one leaving us with: 4W - 6 = W + 6

We then remove a W from both sides so that the right side is left with a 6, and add 6 to both sides to remove the -6 from the left one.

This leaves us with 3W = 12

W = 4, and if we put that into our first equation, L = 4W, then Length equals 16, and Width equals 4. We can check this by putting it into the 2nd equation. 16 - 6 = 4 + 6.

Answer:

Step-by-step explanation:

Answer:

The solution to the inequality |x-2|>10 in interval notation is given by -8<x<12

Step-by-step explanation:

An absolute value inequality |x-2|>10 is given.

It is required to solve the inequality and write the solution in interval form.

To write the solution, first solve the given absolute value inequality algebraically and then write it in interval notation.

Step 1 of 2

The given absolute value inequality is $|x-2|>10$.

The inequality can be written as

x-2<10 and x-2>-10

First solve the inequality, x-2<10.

Add 2 on both sides,

x-2<10

x-2+2<10+2

x<12

Step 2 of 2

Solve the inequality x-2>-10.

Add 2 on both sides,

x-2>-10

x-2+2>-10+2

x>-8

The solution of the inequality in interval notation is given by -8<x<12.

The true statements are :

the average monthly temperatures of New Orleans are not as varied as that of Indianapolis.

The median of the average monthly temperatures of New Orleans is equal to the upper quartile of the average monthly temperature of Indianapolis.

A box plot is used to study the distribution and level of a set of scores. The box plot consists whiskers and a box. The whiskers represents the minimum and maximum scores. The difference between the minimum and maximum scores is the range.

On the box, the first line to the left represents the lower quartile. The next line on the box represents the median. The third line on the box represents the upper quartile.

Range for New Orleans = 85 - 50 = 35

Range for Indianapolis = 75 - 25 = 50

Median for New Orleans = 70

Upper quartile for  Indianapolis = 70

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Answer:

-3.7

Step-by-step explanation:

1.  More = Addition

2. 0.65 + -4.35 = -3.7

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

0.65 more than -4.35

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

The word more means addition, thus

-4.35+0.65=

[tex]\bf{-3.7}[/tex]

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

            [tex]\bf{=-3.7}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic\not1\theta\ell}}[/tex]

Answer:

she would be 20 years old if lily is 22

There are 16 red counters there.

If one-quarter of the counters in a tub are red and the rest are green, then there are three-quarter of the counter in the tub.

Let the total counter be x such that

3/4x = 48

3x = 4 * 48

x = 4 * 16

x = 64

Determine the amount of red counter

Red counter = 64 - 48

Red counter = 16

Hence there are 16 red counters there.

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The number of zeros are; Positive; 2 or 0; Negative: 4 or 2 or 0; Complex; 0, 2, 4, 6  

We are given the polynomial function as;

f(x) = x⁶ + x⁵ + x⁴ + 4x³ - 12x² + 12

Use Descartes Rule rule of signs allows us to determine the possible number of positive, negative, and complex roots.

For the function f(x), the number of sign changes that occur from term to term will give us the number of positive possible roots.

For the function f(-x), the number of sign changes that occur from term to term will give us the number of negative possible roots.

The numbers of complex roots is the difference between the degree of function and total number of positive and negative roots.

For f(x), the signs change 2 times.  Thus, there can only be a possibility of 2 positive roots

For f(-x), we have;

x⁶ - x⁵ + x⁴ - 4x³ - 12x² + 12

Thus, the sign changes 4 times and so we have a possibility of 4 negative roots.

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