what is the measure of X?
angles are not necessarily drawn to scale

What Is The Measure Of X? Angles Are Not Necessarily Drawn To Scale

Answers

Answer 1

Answer:

xº=71º

Step-by-step explanation:

Take the triangle BDH

Once the sum of interior angles of a triangle is 180º:

40º+31º+yº=180º

71º+yº=180º

yº=109º

Once yº and xº are supplementary angles (add up to 180º):

yº+xº=180º

109º+xº=180º

xº=71º

Answer 2

If ∠DBE is 40° and ∠BDC is 31° then the angle x will be equal to 71°.

What is triangle?

A triangle is a two dimensional figure having three sides, three angles and the sum of all the angles is equal to 180°.

How to find angle?

We have been given ∠DBE=40° and ∠BDC=31° and we have to find the angle ∠IHE which is x°.

Let the angle DHB equal to y.

In ΔBDH

∠DBH+∠BDH+Y=180 { Sum of all angles in a triangle is equal to 180}

40+31+y=180

71+y=180

y=180-71

y=109°

We know that sum of two angles on a line is equal to 180°.

So, x=180-109

x=71°

Hence the value of x is 71° if ∠BDC=31° and ∠DBE =40°.

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Related Questions


[tex] \sqrt[3]{8 \times 10 {}^{15} } [/tex]
I'm not really sure how to start.​

Answers

Answer:

see explanation

Step-by-step explanation:

[tex]\sqrt[3]{8.10^{15} }[/tex]

= [tex]\sqrt[3]{8}[/tex] × [tex]\sqrt[3]{10^{15} }[/tex]

= 2 × [tex]10^{5}[/tex]

= 200000

solve the equation 2 3/5 × 1 3/7

Answers

Answer:

26/7

Step-by-step explanation:

[tex]2\frac{3}{5} * 1\frac{3}{7}[/tex]=

[tex]\frac{13}{5}* \frac{10}{3} =[/tex]

[tex]\frac{130}{35}[/tex]=

simplify= 26/7

Find the length of side AB.
Give your answer to 1 decimal place.
12 cm
62°
А
B

Answers

The length of the side labelled, AB as represented in the image attached to the task content is; 5.63.

What is the length of the side AB given the angle B and side BC as in the image attached to the task content?

It follows from the task content that the length of the side AB is to be determined from the right triangle given in the task content.

Since the angle given is; B whose measure is; 62°. It consequently follows that the trigonometric ratio to be used is cosine;

Cos 62 = adjacent/ hypothenuse

Cos 62° = AB/12

AB = 12 Cos 62°

AB = 12 × 0.4695

AB = 5.63

Read more on trigonometric ratios;

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14. A manufacturer of lighting fixtures has daily production costs of C = 120 − 5x + 0.25x 2 , where C is the total cost (in dollars) and x is the number of units produced. How many fixtures should be produced each day to yield a minimum cost? What is that minimum cost?

Answers

Answer:

Value of x = 10

Minimum cost (C) = 45

Step-by-step explanation:

Given:

Equation:

120 - 5x + 0.25x²

Find:

Value of x

Minimum cost

Computation:

0.25x² - 5x + 120

x = -[b/2a]

x = -[(-5)/2(0.25)]

x = 10

Value of x = 10

Minimum cost (C) = 120 - 5x + 0.25x²

Minimum cost (C) = 120 - 5(10) + 0.25(10)²

Minimum cost (C) = 45

A sample of an unknown liquid has a volume of 24.0 mL and a mass of 6 g. What is its density?

Answers

Answer:

Hey there!

Density = Mass/Volume

Mass= 6g

Volume=24 mL, which is 24 cm^3

Density= 6g/24 cm^3

Density=0.25 g/cm^3

Let me know if this helps :)

Answer:

0.25g/ml

Step-by-step explanation:

Mass=6g

Volume=24ml

Density=Mass/Volume

=6/24=1/4=0.25g/ml

Write the inverse of h(x) = e 2x
h -1(x) =

log e2 x
2log ex
½log ex

Answers

Answer:

C

Step-by-step explanation:

We are given the function.

[tex]h(x)=e^{2x}[/tex]

And we want to find its inverse.

Let's switch h(x) and x and change h(x) to h⁻¹(x). Hence solve:

[tex]\displaystyle \begin{aligned} x & = e^{2h^{-1}(x)} \\ \\ \ln x & = \ln e^{2h^{-1}(x)} \\ \\ \ln x & = 2h^{-1}(x) \\ \\ h^{-1}(x) & = \frac{1}{2} \ln x\end{aligned}[/tex]

In conclusion, our answer is C.

Note:

[tex]\ln(x)=\log_ex[/tex]

A triangle has sides 6cm, and 7cm, use Pythagorean Theorem to figure out its hypotenuse.

Answers

Answer:

c= 9.2

Step-by-step explanation:

a^2 +b^2=c^2

6^2 + 7^2 = c^2

36+49 =85

= 9.2

Than take 85 and [tex]\sqrt{85)[/tex]you have to make sure you square the number so it will be accurate.

c=9.2

i hope this helped

B is the correct answer

find the sum of x2 + 3x and -2x2 + 9x +5.​

Answers

Answer:

This is the answer

Step-by-step explanation:

Solving    3x2-9x-5 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

                                     

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     3

                     B   =    -9

                     C   =   -5

Accordingly,  B2  -  4AC   =

                    81 - (-60) =

                    141

Applying the quadratic formula :

              9 ± √ 141

  x  =    —————

                   6

 √ 141   , rounded to 4 decimal digits, is  11.8743

So now we are looking at:

          x  =  ( 9 ±  11.874 ) / 6

Two real solutions:

x =(9+√141)/6=3/2+1/6√ 141 = 3.479

or:

x =(9-√141)/6=3/2-1/6√ 141 = -0.479

Two solutions were found :

x =(9-√141)/6=3/2-1/6√ 141 = -0.479

x =(9+√141)/6=3/2+1/6√ 141 = 3.479

What is the domain of the function on the graph?
all real numbers
all real numbers greater than or equal to 0
all real numbers greater than or equal to -2
all real numbers greater than or equal to -3

Answers

Answer:

Option (4)

Step-by-step explanation:

Domain:

Domain of function is defined by the x-values (Input values) on the graph.

Range:

Range of a function is defined by the y-values (output values) on the graph.

From the graph attached,

x-values are starting from (-3) to infinity.

Therefore, domain of the function will be all real numbers greater than equal to (-3).

Option (4) will be the answer.

1-9.
Simplify each expression.

a. 42 + (-17)

b. 8-(-9)

c. 8(-9)

d. -42=(-7)

e.-2(-3)(-4)

f. -18-7

g. (-5)2

h. -52

i. 49​

Answers

Uhh I think it's B or c

Answer:

hey

Step-by-step explanation:

i cant text u add me ok it deleted my answer

d/6+f/3=4 solve for d
step by step and accurate answer plz​

Answers

Answer:d/6+f/3=4 solve for d

step by step and accurate answer plz​

Step-by-step explanation:d/6+f/3=4 solve for d

step by step and accurate answer plz​

I need help graphing this

Answers

Answer: Draw a line through (0,1) and (3,-1)See diagram below

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

Explanation:

The given equation y = (-2/3)x+1 is in the form y = mx+b

m = -2/3 is our slope

b = 1 is the y intercept

The y intercept is where the line crosses the vertical y axis. Because b = 1, this location is (0,1). So that's one point we can use to graph this equation.

Another point can be found using the slope

Recall that slope = rise/run

Since slope = -2/3, this means rise/run = -2/3 leading to rise = -2 and run = 3. The "rise = -2" portion tells us to go down 2 and then "run = 3" portion means we go to the right 3 units.

The "down 2, right 3" motion has us go from (0,1) to (3,-1). So (3,-1) is another point we can use. We only need two points to graph a straight line.

The diagram below provides a visual summary. It shows plotting point A as the y intercept, and then you move to point B using the "down 2, right 3" movement rule.

At the start of the day there was £129.75 in the till. One hour later there is £145.50. How much money did the shop make in an hour?

Answers

Answer:

£15.75

Step-by-step explanation:

£145.50 - £129.75

Answer:

The shop keeper made 15.75$ in an hour.

Step-by-step explanation:

Minus 129.75-145.50

The area of the rectangle
shown is 54 square units.
What is its perimeter

Answers

Answer:

perimeter of a square= 4 times square root of area

[tex]4 \sqrt{54} = 29.39[/tex]

daniel spent half of his paycheck on video games. to earn more money, he did chores at home and received $20. how much was his paycheck if he ended up with $56

Answers

Answer: His paycheck was $72.

Step-by-step explanation:

Let x = paycheck amount.

Given,  Amount spent on video games = [tex]\dfrac x2[/tex]

Amount he has left of it = [tex]x-\dfrac x 2=\dfrac x 2[/tex]

Amount received = $20

Total amount amount he has left = [tex]\dfrac x 2 +20[/tex]

According to the question,

[tex]\dfrac x 2 +20 = 56\\\\\Rightarrow\ \dfrac x 2= 36\\\\\Rightarrow\ x= 2\times 36=72[/tex]

∴ His paycheck was $72.

Is 1.875 and rational number

Answers

Answer: 1.875 is a rational number because it can be represented as a ratio or a fraction.

A rental company rents big-screen televisions for $22 down plus $4 a day. If the final bill is $46, how many days did you rent the television for?

Answers

Answer:

let the x no of days the television is rented

22+4x=46

4x=46-22

4x=24

x= 6days

Step-by-step explanation:

What's the answer for this? I can't find the answer. ​

Answers

I believe the answer is 3/4.

Answer:

1/4+2/4=3/4 I believe so

Which value of y makes the equation 16 -y = 11 true?

Answers

Answer:

16-5=11

Step-by-step explanation:

The temperature was 8°F. It dropped so that the temperature was 0°F.

Answers

Answer:

It dropped 8 degrees so the answer must be -8

Step-by-step explanation:

Which line has the greatest rate of change?
A. The line passing through (0, 2) and (4, 10)
B. The line passing through (0,5) and (2,8)
C. The line passing through (0,0) and (3,-4)
D. The line passing through (0,6) and (12,9)​

Answers

Answer:

I thought it was the last one but I mean if it was wrong sorry

Greetings from Brasil....

The rate of change between 2 points is obtained through the expression:

m = ΔY/ΔXm = (Y₂ - Y₁)/(X₂ - X₁)

a) (0, 2) and (4, 10) so, X₁ = 0; X₂ = 4; Y₁ = 2 and Y₂ = 10

m = ΔY/ΔX

m = (Y₂ - Y₁)/(X₂ - X₁)

m = (10 - 2)/(4 - 0)

m = 8/4 = 2

b) (0,5) and (2,8) so, X₁ = 0; X₂ = 2; Y₁ = 5 and Y₂ = 8

m = ΔY/ΔX

m = (Y₂ - Y₁)/(X₂ - X₁)

m = (8 - 5)/(2 - 0)

m = 3/2

c) (0,0) and (3,-4) so, X₁ = 0; X₂ = 3; Y₁ = 0 and Y₂ = - 4

m = ΔY/ΔX

m = (Y₂ - Y₁)/(X₂ - X₁)

m = (- 4 - 0)/(3 - 0)

m = -4/3

d) (0,6) and (12,9)​ so, X₁ = 0; X₂ = 12; Y₁ = 6 and Y₂ = 9

m = ΔY/ΔX

m = (Y₂ - Y₁)/(X₂ - X₁)

m = (9 - 6)/(12 - 0)

m = 3/12 ⇔ m = 1/4

Among all the values above, the largest is 2, so points

(0; 2) and (4; 10)

Which term describes the solution to a multiplication problem? The describes the solution to a multiplication problem.

Answers

Answer:

The solution to a multiplication problem is called a product.

Step-by-step explanation:

Please help me simplify this equation!

Answers

X^2(x+4) x 3x^2(x-1)
(X^3+4x^2) x (3x^3 -3x^2)
3x^6 -3x^5+12x^5 -12x^4
3x^6 +9x^5-12x^4
I think that’s how you do it

3|4w-1|-5=10
Please help meee!

Answers

Answer:

[tex]w=\frac{3}{2} ,-1[/tex]

Step-by-step explanation:

[tex]3|4w-1|-5=10\\\\3|4w-1|=10+5\\\\3|4w-1|=15\\\\|4w-1|=5\\\\[/tex]

here we have two cases

the number that give an absolute value of 5 are 5 and -5

so we have

[tex]4w-1=5\\\\4w=5+1\\\\4w=6\\\\w=\frac{3}{2}[/tex]

and the other case

[tex]4w-1=-5\\\\4w=-5+1\\\\4w=-4\\\\w=-1[/tex]

Use the diagram shown. Solve for x. Find the angle measures to check your work.
mZAOB = (9x - 5)º
mZBOC = (2x +11°
mZCOD = (6x + 10°
X=

Answers

Answer:

x = 5

Step-by-step explanation:

From the picture attached,

It's given that ∠AOB ≅ ∠COD

therefore, m∠AOB = m∠COD

Now from the given measures of the equal angles,

9x - 5 = 6x + 10

9x - 6x - 5 = 10

3x - 5 = 10

3x = 10 + 5

3x = 15

x = [tex]\frac{15}{3}[/tex]

x = 5

Therefore, measure of the angles given in the picture will be,

m∠AOB = (9x - 5)° = 40°

m∠BOC = (2x + 11)° = 21°

m∠COD = (6x + 10)° = 40°

Answer:guy who answered first is wrong the answer is x = 9

Step-by-step explanation:

Solve the system of equations below.

Answers

Answer:

B

Step-by-step explanation:

So we have the system of equations:

[tex]x-2y=3\\2x-3y=9[/tex]

To solve, we can use the substitution method. First, add 2y to both sides in the first equation:

[tex]x=3+2y[/tex]

Now, substitute this into the secon equation:

[tex]2(3+2y)-3y=9[/tex]

Distribute the 2:

[tex]6+4y-3y=9[/tex]

Combine like terms:

[tex]6+y=9[/tex]

Subtract 6 from both sides:

[tex]y=3[/tex]

So, the value of y is 3.

Substitute this back into the original equation to find x. Thus:

[tex]x=3+2(3)[/tex]

Multiply:

[tex]x=3+6[/tex]

Add:

[tex]x=9[/tex]

So, our answer is (9,3)

And we're done!

15.0 is classified as?Select all that apply Natural Number Whole Number Integer Rational Number

Answers

Answer:

integers

Step-by-step explanation:

because integers are always in decimal form

Hey guys since nobody ever helps me and my mom doesn’t I need help on this assiment thanks :)

Answers

*assignment :)))))))

Which of the following is an equation of the line through (-4, 12) parallel to the line y= - 4x - 4?

Answers

Step-by-step explanation:

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Write the three next natural numbers after 10999

Answers

Answer: 11000, 11001, 11002

Explanation
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