∠DEF and ∠FEG are supplementary. m∠DEF=(3x+5)°, and m∠FEG=(2x)°. What is the measure of ∠DEF?

[tex]3.09375[/tex] ✅

Step-by-step explanation:

[tex] \frac{11}{8} \div \frac{4}{9} \\ = \frac{11}{8} \times \frac{9}{4} \\ = \frac{11 \times 9}{8 \times 4} \\ = \frac{99}{32} \\ = 3.09375[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

x = 25 degree

Step-by-step explanation:

5x + 4 = 8x - 71 (being vertically opposite angle)

5x - 8x = -71 - 4

-3x = -75

x = -75/-3

x = 25

Answer:

The correct answer is B.

Step-by-step explanation:

The area of the closest answer is 30 since the actual area is 28 square inches.

Answer:

Perpendicular lines meet at 90 degrees, so JK and LM meeting at 90 degrees is the correct answer.

Step-by-step explanation:

(I know they mean If JK is perpendicular to LM because I saw this question before on brainly.)

Answer:

x ≈ 5.7

Step-by-step explanation:

Recall, SOH CAH TOA.

We are given:

Reference angle = 35°

Opposite side length to reference angle = 4

Adjacent side = x

To find x, apply the trigonometric equation, TOA, which is:

Tan 35° = Opp/Adj

Substitute

Tan 35° = 4/x

x*Tan 35° = 4

x = 4/Tan 35°

x ≈ 5.7

Answer:

11

Step-by-step explanation:

Using GEMDAS

G-Group

E-Exponent

M-Multiplication

D-Division

A-Addition

S-Subtraction

Step 1: Substitute the value y=5 in the equation

35÷(5+2)+4

Step 2: Evaluate the equation by computing first the parenthesis

35÷(7)+4

Step 3: Next divide 35 by 7

(5)+4

Step 4: Add

=9

The answer is 9.

Answer:

It depends and analysis maybe with the values kept and with the values deleted depending on what we intend to find with the data.

Step-by-step explanation:

When conducting data analysis, a large chunk of time is usually spent trying to ensure that the data is prepared to be used for the require analysis. To ensure this, we tidy up the data by doing the following :

Changing the data format for variables whose units do not conform and so on.

The method of dealing with missing data is essential during data analysis. Missing data may be replaced with the mean value of the observation or completely removed. Based on the scenario, the sample size is 250 ; number of values with unusually high salary values are just 2, hence, removing this values shouldn't pose much of a threat to our data and shouldn't have much effect on the outcome. Hence, removing the Outliers.

Similarly, this unusually high values may signify certain purpose or give certain critical information about the salary and hence may not be deleted

Depending on what we hope to discover from the data, an analysis may be performed

A simple random sample is a subset of persons picked at random, all with the same probability, from a larger set of individuals. It is a method of choosing a sample at random.

When performing data analysis, a significant amount of work is typically dedicated to making sure the data is ready to be used for the required analysis. We clean up the data in the following ways to make sure of this

changing the data format for variables with non-conforming unit measurements.

During data analysis, the way missing data are handled is crucial. Missing data can either be fully eliminated or replaced with the observation's mean value. According to the scenario, the sample size is 250 there are only 2 values with abnormally high salary values, therefore deleting these values shouldn't constitute significant harm to our data or have a significant impact on the results. thus eliminating the Outliers

learn more about random samples here :

https://brainly.com/question/12719656

#SPJ2

Answer:

m=13

Step-by-step explanation:

Step-by-step explanation:

= 2x +b

Use the given point (2, 5)

5 = 2(2) +b

b = 5 -4 = 1

The equation of the line is

y = 2x +1

Note general form of the slope-intercept form of a line is y = mx +b, where m is the slope and b is the y-axis intercept

Answer:

2ap + aq - bq -2bp = (a - b)(2p + q)

Step-by-step explanation:

(2ap + aq) - (bq -2bp)

a(2p +q) -b(q + 2p)    [ taking a common from the first, and b from the second]

(2p + q) [a - b]           [takin (2p + q)]

(2p + q)(a - b)

The completely factored form of the expression 2ap + aq - bq - 2bp is

(a - b)(2p + q).

In order to completely factorize the given expression, we need to look for common factors and apply factorization techniques.

Given expression: 2ap + aq - bq - 2bp

Step 1: Look for common factors.

Notice that 'a' is common in the first two terms, and '-b' is common in the last two terms.

Step 2: Factor out the common terms.

We can factor 'a' from the first two terms: a(2p + q)

And factor '-b' from the last two terms: -b(q + 2p)

Step 3: Rearrange the expression.

Now we have: a(2p + q) - b(q + 2p)

Step 4: Factor by grouping.

We can see that (2p + q) is common in both terms, so we can factor it out: (2p + q)(a - b)

Step 5: Final result.

Thus, the completely factored form of the given expression is

(a - b)(2p + q).

To know more about Factorize here

https://brainly.com/question/14549998

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Answer:

24.

[tex] log_{2}(9) \\ = log_{2}(3) {}^{2} \\ = 3 log_{2}(3) \\ = \frac{3 log(3) }{ log(2) } \\ = 4.75[/tex]

25.

[tex]5. {9}^{x} = 12.48 \\ {9}^{x} = 2.496 \\ x log(9) = log(2.496) \\ x = \frac{ log(2.496) }{ log(9) } \\ x = 0.42[/tex]

26.

[tex]4 + 9. ln(x) = 15.8 \\ ln(x) = \frac{15.8 - 4}{9} \\ ln(x) = 1.311 \\ x = e {}^{1.311} \\ x = 3.71[/tex]

Answer:

x = -4

x = -6

Step-by-step explanation:

X^2+10x+24=0

(b/2)^2 = (10/2)^2 = 25

X^2+10x+25=-24+25

(x+5)^2 = 1

(x+5) = ± 1

x = +1 -5 = -4

x = -1 -5 = -6

Answer:

is it 4 and 12 ?

Step-by-step explanation:

please let me know if it is correct! but i am 96% sure for me answer!

Answer:

1,166 is the SA

correct me if im wrong somehow

Step-by-step explanation:

a wobble ball is a sphere

circumference=8(pi)

242=8(3.14)

so 242 divided by 25.12

this ends up with 9.633757961783439, which is the radius of the circumference

SA of a sphere= 4(pi)r²

SA=4(3.14)9.633757961783439²

SA=4(3.14)92.80929246622581

SA=1,165.684713375796

rounded to the nearest whole # = 1166

9514 1404 393

Answer:

  w = 8t

Step-by-step explanation:

If we assume that the ounces of water are proportional to the time, then the equation will look like ...

  w = kt

for some constant k.

Solving for k, we find ...

  k = w/t

Using the given values, we find k to be ...

  k = (32 ounces)/(4 seconds) = 8 ounces/second

The units are stated in the definitions of the variables, so we can write the equation as ...

  w = 8t

Answer:

B

Step-by-step explanation:

We want to find the point-slope equation of a line that passes through the points (-1, 4) and (8, -2).

Point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let's find the slope of the line first. We can use the slope formula:

[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{-2-4}{8-(-1)}=\frac{-6}{9}=-\frac{2}{3}[/tex]

We can choose (-1, 4) as our point. So, (x₁, y₁) = (-1, 4).

Substitute:

[tex]\displaystyle y-(4)=-\frac{2}{3}(x-(-1))[/tex]

Simplify:

[tex]\displaystyle y-4=-\frac{2}{3}(x+1)[/tex]

Therefore, our answer is B.

Answer:

(2x^2+3)^2

Step-by-step explanation:

See image below:)

9514 1404 393

Answer:

  A.  2.1

Step-by-step explanation:

Put the numbers in the equation and do the arithmetic.

  1/R = 1/(3 1/2) +1/(5 1/4)

  1/R = 1/(7/2) +1/(21/4) = 2/7 +4/21 = (6 +4)/21

  R = 1/(10/21) = 21/10

  R = 2.1

Step-by-step explanation:

f(x) = a(x-x1) (x-x2)

from the vertex, we get a:

0 = a(4-2)²- 8

4a = 8

a = 2

so, the equation:

f(x) = 2(x-0) (x-4)

f(x) = 2x(x-4)

f(x) = 2x² -8x

there you go the correct ans

[tex]\huge\bold{Given:}[/tex]

Length of the base = 9

Length of the hypotenuse = 16 [tex]\huge\bold{To\:find:}[/tex]

✎ The length of the perpendicular ''[tex]x[/tex]".

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

The length of the perpendicular [tex]x[/tex] is[tex]\boxed{±13.229}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ ⇢ {x}^{2} + {(9})^{2} = ({16})^{2} \\ ⇢ {x}^{2} + 81 = 256 \\ ⇢ {x}^{2} = 256 - 81 \\ ⇢x = \sqrt{175} \\ ⇢x = ±13.229[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:perpendicular \:"x"\:is\:±13.229.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( {13.229})^{2} + ({9})^{2} = ({16})^{2} \\ ⇢ 175 + 81 = 256 \\ ⇢ 256 = 256 \\⇢  L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

[tex]\huge\bold{Given:}[/tex]

Length of the book (hypotenuse) = 13 inches

Distance of the book from the foot of the wall (base) = 5 inches

[tex]\huge\bold{To\:find:}[/tex]

Length of the book on the wall (perpendicular ''[tex]x[/tex]").

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\longrightarrow{\purple{x\:=\:12\:inches}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

By Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

[tex]\longrightarrow{\blue{}}[/tex]  [tex]{x}^{2}[/tex] + (5 in) ² = (13 in)²

[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] + 25 in² = 169 in²

[tex]\longrightarrow{\blue{}}[/tex]  [tex]{x}^{2}[/tex] = 169 in² - 25 in²

[tex]\longrightarrow{\blue{}}[/tex]  [tex]{x}^{2}[/tex] = 144 in²

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = [tex] \sqrt{144 \: {in}^{2} } [/tex]

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = [tex] \sqrt{12 \times 12 \: {in}^{2} } [/tex]

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = [tex] \sqrt{ ({12 \: in})^{2} } [/tex]

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = 12 in

Therefore, the height of the book on the wall [tex]x[/tex] is 12 inches.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{☂}}}}}[/tex]

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

Explanation:

He sold $4950 worth of items. Take 12% of this amount to get

12% of 4950 = 0.12*4950 = 594

So he earns $594 in commission on top of the $350 base salary paid every week. In total, he earns 594+350 = 944 dollars for that week

This isn't the per week pay because he would need to sell exactly $4950 worth of goods each week to keep this same weekly pay.

Answer:

x=4 and y=−4

Step-by-step explanation:

Let's solve your system by elimination.

−x−2y=4;3x+2y=4

−x−2y=4

3x+2y=4

Add these equations to eliminate y:

2x=8

Then solve 2x=8 for x:

2x=8

2x

2

=

8

2

(Divide both sides by 2)

x=4

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

−x−2y=4

Substitute 4 for x in−x−2y=4:

−4−2y=4

−2y−4=4(Simplify both sides of the equation)

−2y−4+4=4+4(Add 4 to both sides)

−2y=8

−2y

−2

=

8

−2

(Divide both sides by -2)

y=−4

Answer:

14×4+21×2+28=126

Step-by-step explanation:

correct me if I'm wrong

Answer:

answer is option D

Step-by-step explanation:

(-2 , 4) = (x1 , y1)

(6 , -4) = (x2 , y2)

midpoint = (x1 + x2/2 , y1 + y2/2)

=(-2 +6/2 , 4+(-4)/2)

=(4/2 , 0/2)

=(2 , 0)

Answer:

x = 7

two of the angles 60 and 80

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

8x + 4 + 6x - 2 + 10x + 10 = 180 add like terms

24x + 12 = 180 subtract 12 from both sides

24x = 168 divide both sides by 24

x = 7 replace x with 7 in the equation to find the angle measures

6x - 2 = 40

10x + 10 = 80

8x + 4 = 60

Answer:

It must be a rectangle with dimension of either 1 by 8  or 2 by 4

Step-by-step explanation:

V = l*w*h

32 = l*w*4

32/4 = l*w*4/4

8 = l*w

We could have 1*8

We could have 2*4

It must be a rectangle

It must be a rectangle with dimension of either 1 by 8  or 2 by 4

Answer:

B.d.c.b.a.c.b is. respectively answer

Answer:

He should have subtracted 2 from each side to find the solution for x+2 =0

Step-by-step explanation:

(x + 2)(x - 7) = 0

Using the zero product property

x+2 = 0   x-7=0

x+2-2=0-2    x-7+7=0+7

x = -2            x=7

He should have subtracted 2 from each side to find the solution for x+2 =0

Step-by-step explanation:

the steps he took are correct but the answer of x is somehow wrong because

(x+2)=0

x = -2

and not x = 2