which value of x is in the solution set of the following inequality?​

The given figure is missing so I attached it below

m∠ A B C = 72°

m∠ F B C = 108°

m∠ A B D = 90°

m∠ D B E = 18°

Step-by-step explanation:

∵ Lines A F and C E are intersected at point B

∴ ∠ A B C and ∠ F B E are vertical opposite angles

- That mean they are equal in measures

∴ m∠ A B C = m∠ F B E

∵ m∠ F B E = 72°

∴ m∠ A B C = 72°

∵ Ray F B and line E C are intersected at B

∴ ∠ C B F and ∠ F B E formed a pair of linear angles

- Their measures is 180°

∴ m∠ C B F + m∠ F B E = 180°

∵ m∠ F B E = 72°

∴ m∠ C B F + 72 = 180

- Subtract 72 from both sides

∴ m∠ C B F = 108°

∵ Ray B D ⊥ to line A F

- That mean ∠ A B D and ∠ F B D are formed a pair of linear

  angles equal in measures, then their measures is 180 ÷ 2 = 90

∴ m∠ A B D = m∠ F B D = 90°

∴ m∠ A B D = 90°

∵ Ray B E divides ∠ D B F into two angles D B E and F B E

∵ m∠ F B D = 90°

∴ m∠ D B E + m∠ F B E = 90°

∵ m∠ F B E = 72°

∴ m∠ D B E + 72 = 90°

- Subtract 72 from both sides

∴ m∠ D B E = 18°

Learn more:

You can learn more about the supplementary angles in brainly.com/question/14680617

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On arranging from least to greatest based on their degree:

[tex]18x^2 + 5ab - 6y\\\\x + 2xyz\\\\4x^4 + 3x^2 -x-4\\\\9x^3y^2[/tex]

Solution:

Given that,

Organize the following polynomial expressions from least to greatest based on their degree

Degree of polynomial is highest power of the variable in the algebraic expression

For polynomial with more than one variable, find the degree of each monomial and then add them and choose the largest exponent

[tex]I) x + 2xyz \\\\Degree\ of\ x = 1\\\\Degree\ of\ 2xyz = 1 +1 + 1 = 3[/tex]

[tex]II) 9x^3y^2\\\\Degree = 3 + 2 = 5[/tex]

[tex]iii) 18x^2 + 5ab - 6y\\\\Degree\ of\ 18x^2 = 2\\\\Degree\ of\ 5ab = 1 + 1 = 2\\\\Degree\ of\ 6y = 1[/tex]

[tex]iv) 4x^4 + 3x^2 -x-4\\\\Degree\ of\ 4x^4 = 4\\\\Degree\ of\ 3x^2 = 2\\\\Degree\ of\ x = 1\\\\Degree\ of\ 4 = 0 (since\ degree\ of\ constants\ is\ 0)[/tex]

On arranging from least to greatest based on their degree:

[tex]18x^2 + 5ab - 6y\\\\x + 2xyz\\\\4x^4 + 3x^2 -x-4\\\\9x^3y^2[/tex]

Answer:

the Answer here is A

Step-by-step explanation:

Answer:

1080hrs

Step-by-step explanation:

[tex] \frac{6hr}{1day} \times5 \frac{days}{week} [/tex]

days cancel, redefine week as =5days

[tex] \frac{30hr}{1week} \times 4 \frac{weeks}{month} [/tex]

weeks cancel redefine 4 weeks = 1 month

[tex] \frac{120hr}{1month} \times 9 \frac{month}{1year} [/tex]

months cancel, redefine 9months= 1years

[tex] \frac{120 \times 9}{1year} [/tex]

1080hrs per year (if I mathed 120x9 correctly that is, I didn't use a calculator so please double check that 120x9=1080)

Answer: 1080 hours

Step-by-step explanation:

To find the difference, first calculate how much 3 pounds of each meat costs.

$3.20 × 3 = $9.60 for 3 pounds of chicken

$4.59 × 3 = $13.77 for 3 pounds of beef

Now, take the difference.

$13.77 - $9.60 = $4.17

3 pounds of beef costs $4.17 more than 3 pounds of chicken.

Answer:

3 pounds of beef costs $4.17 more than 3 pounds of chicken

Step-by-step explanation:

Option A:

Lateral surface area = 1319 cm²

Solution:

Given image is the cone.

Radius of the cone = 15 cm

Slant height = 28 cm

Value of π = 3.14

To find the lateral surface area of the cone:

Lateral surface area = [tex]\pi r l[/tex]

                                 [tex]=3.14\times 15\times28[/tex]

                                 =  1318.8 cm²

Change this to nearest whole unit.

Lateral surface area = 1319 cm²

Hence the lateral surface area of the cone is 1319 cm².

Option A is the correct answer.

Answer:i think it is 0

Step-by-step explanation:

You can use the fact that if (x-root) is a factor of a single variable polynomial function p(x) = 0

A binomial factor of p(x) is (x-2)

Let its root be x = k

Then we have one of the factor of polynomial as (x-k)

Root of a polynomial function p(x) is a value of x such that putting that value in place of x makes the output 0.

Thus, if x = k is a root of the polynomial p(x), then

p(k) = 0

Since it is given that

p(2) + 4=4

thus,

p(2) = 4-4 = 0

Thus, x = 2 is a root of the polynomial function, and thus, using the aforesaid conclusions, we have (x-2) as one of the factors of the considered polynomial function.

Thus,

A binomial factor of p(x) is (x-2)

Learn more about polynomials here:

https://brainly.com/question/19508384

Answer:

The numbers are 11 and 65

Step-by-step explanation:

11 + 65 = 76

65 - 11 = 54

Answer:

$13,952.30

Step-by-step explanation:

refer to attached graphic

the formula for compound interest is given as

A = P [ 1 + (r/n) ] ^ (nt)

where

A = final amount (we are asked to find)

P = principal amount = $13,500

r = rate = 3.3% = 0.033

n = 12 (compounded monthly)

t = 1 year

substituting these values into the equation

A = 13500 [ 1 + (0.033/12) ] ^ [(12)(1)]

A = 13500 [ 1 + 0.00275 ] ^ 12

A = 13500 [1.00275 ] ^ 12

A = 13500 (1.0335)

A = $13,952.30

The balance on a $13,500 deposit earning 3.3% and compound monthly after 1 year is equal to $13,952.30.

In Mathematics and Financial accounting, compound interest can be calculated by using the following mathematical equation (formula):

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where:

By substituting the given parameters into the formula for compound interest, we have the following;

[tex]A(1) = 13500(1 + \frac{0.033}{12})^{12 \times 1}\\\\A(1) = 13500(1.00275)^{12}[/tex]

Future value, A(1) = $13,952.30.

Read more on compound interest here: brainly.com/question/16608367

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Complete Question;

Find the balance in each account after the given period. $13,500 deposit earning 3.3% compound monthly after 1 year.

Answer:1/4

Step-by-step explanation:

The answer is 20000000000029

Answer:

1) one solution

2) Infinitely many solution

3) no solution

Step-by-step explanation:

The first equation is -14-8x=-2(-3x+7)

Let us expand the right hand side to get:

-14-8x=-2*-3x+-2*7

We multiply -14-8x=6x-14

We group similar terms to get:

-8x-6x=-14+14

Combine similar terms to get:

-14x=0

Divide through by -14 to get:

x=0

2) The second equation is 3+5x=5(x+2)-7

We expand to obtain:

3+5x=5x+5*2-7

Multiply to get:

3+5x=5x+10-7

This gives us

3+5x=5x+3

5x=5x

1=1

There is infinitely many solutions

3) The third equation is: 36-7x=-7(x-5)

We expand to get:

36-7x=-7x+35

Group similar terms;

-7x+7x=35-36

0=-1

This statement is not true so there is no solution.

Answer:

$605.36

Step-by-step explanation:

They will spend  644* 0.94 = 605.36

Sure you can write in one line

23*28*0.94 = $605.36

Step-by-step explanation:

Given the coordinate of C is (-3,1) and D is (5,6)

The length of a line  segment [tex]\bar {AB}[/tex]with endpoint A at [tex](x_1,y_1)[/tex] and endpoint B at [tex](x_2,y_2)[/tex] is  =  [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here [tex]x_1=-3 ,y_1=1[/tex]  and   [tex]x_2=5,y_2=6[/tex]

Therefore the length of a line segment [tex]\bar {CD}[/tex] is [tex]\sqrt{(5+3)^2+(6-1)^2}[/tex]

                                                                           =[tex]\sqrt{89}[/tex] units

                                                                           =9.43 units

Answer: No, it D

Step-by-step explanation: i choose c but it was wrong, it d

The slope is the price of a ticket = 95

The y intercept is the service fee = 11

The equation would be multiplying the price of a ticket (slope) by the number of tickets being purchased (x) and then add the service fee ( y intercept)

Equation: f(x) = 95x + 11

Answer:

The slope is the price of a ticket = 95

The y intercept is the service fee = 11

The equation would be multiplying the price of a ticket (slope) by the number of tickets being purchased (x) and then add the service fee ( y intercept)

Equation: f(x) = 95x + 11

Answer:

the awnser is A I just got it right

Answer:

1st and 3rd figures have the same area

Step-by-step explanation:

1st figure is combined figure consisting of 4 m by 5 m rectangle and right triangle with legs

[tex]4-1=3\ m[/tex] and [tex]10-5=5\ m[/tex]

The area of the first figure is

[tex]A_{rectangle}=4\times 5=20\ m^2\\ \\A_{triangle }=\dfrac{1}{2}\cdot 3\cdot 5=7.5\ m^2\\ \\A_{1^{st}\ figure}=20+7.5=27.5\ m^2[/tex]

2nd figure is combined figure consisting of 3 m by 6 m rectangle and right triangle with legs

3 m and [tex]1+3+1=5\ m[/tex]

The area of the second figure is

[tex]A_{rectangle}=3\times 6=18\ m^2\\ \\A_{triangle }=\dfrac{1}{2}\cdot 3\cdot 5=7.5\ m^2\\ \\A_{2^{nd}\ figure}=18+7.5=25.5\ m^2[/tex]

3rd figure is combined figure consisting of 10 m by 2 m rectangle and right triangle with legs

3 m and [tex]10-5=5\ m[/tex]

The area of the third figure is

[tex]A_{rectangle}=2\times 10=20\ m^2\\ \\A_{triangle }=\dfrac{1}{2}\cdot 3\cdot 5=7.5\ m^2\\ \\A_{3^{rd}\ figure}=20+7.5=27.5\ m^2[/tex]

Answer:

7

Step-by-step explanation:

2x-4=10

2x=10+4

2x=14

x=14/2

x=7

Answer:4

Step-by-step explanation:What +7=11 bause the () make a multiplication and 11x3=33

Answer:

n=4

Step-by-step explanation:

3(n+7)=33

Lets mulitply..

3n+21=33

Then we need 3n alone...

To do this subract 21 from 33 and you get 12.

3n=12

Divide 3n by 3 and 12 by 3.

n=4

Answer:

$5

Step-by-step explanation:

3/4 is the same as .75;

.75•20=15

20-15=5

Answer:$200

Step-by-step explanation:

Answer:

Answer:

f(5)=-103

Step-by-step explanation:

f(x) =x^2-16x-48

x=5

f(5)=5^2-16*5-48

f(5)=25-80-48

f(5)=-103

Answer:  y intercept

Step-by-step explanation:

Step-by-step explanation:

Let O represents older brother

M represents middle brother

& Y represents younger brother.

Therefore, according to the given condition:

[tex] \frac{3}{4} y = \frac{2}{3} m = \frac{1}{2} o \\ \\ \therefore \: \frac{3}{4} y = \frac{2}{3} m \\ \implies \: m = \frac{3}{2} \times \frac{3}{4} y = \frac{9}{8} y \\ \\ next \: \: \frac{3}{4} y = \frac{1}{2} o \\ \implies \: o = \frac{2}{1} \times \frac{3}{4} y = \frac{3}{2} y \\ \\ \because \: o + m + y = 58 \\ \\ \therefore \: \frac{3}{2} y + \frac{9}{8} y + y = 58 \\ \\ \therefore \: \frac{12}{8} y + \frac{9}{8} y + \frac{8}{8} y = 58 \\ \\ \therefore \: \frac{29}{8} y = 58 \\ \\ \therefore \: y = 58 \times \frac{8}{29} \\ \\ \therefore \: y = 2 \times 8 \\ \\ \therefore \: y = 16 \: years[/tex]

Thus youngest brother is 16 years old.

Answer:

2(8y+9m)

Step-by-step explanation:

Final answer:

The center of the circle is (3, -4) and the radius is approximately 5.66 units.

Explanation:

To find the center and radius of the given circle, we need to rewrite the equation in the standard form of the equation of a circle. The standard form is: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.

So, let's complete the square for both x and y terms in the given equation:

(x^2 - 6x) + (y^2 + 8y) = 7

(x^2 - 6x + 9) + (y^2 + 8y + 16) = 7 + 9 + 16

(x - 3)^2 + (y + 4)^2 = 32

Now we can see that the center of the circle is (3, -4) and the radius is √32 or approximately 5.66 units.

Answer:

18.75 Kg : 11.25 Kg

Step-by-step explanation:

Sum the parts of the ratio, 5 + 3 = 8 parts

Divide 30 Kg by 8 to find the value of one part of the ratio

30 Kg ÷ 8 = 3.75 Kg ← value of 1 part of the ratio, thus

5 parts = 5 × 3.75 Kg = 18.75 Kg

3 parts = 3 × 3.75 Kg = 11.25 Kg