Need help with this problem!! Point X is the midpoint of HI. What is the coordinate of the point X?

Answer:

The answer is (50) but what does the number sentence mean?

Step-by-step explanation:

Answer:

m<CGD = 26°

m<CGF = 100°

Step-by-step explanation:

m<CGD = 2x - 2

m<EGF = 37

m<CGF = 7x + 2

Since GE bisects <DGF, m<DGF = 2*m<EGF.

m<DGF = 2*37 = 74°

m<CGD + m<DGF = m<CGF (angle addition postulate)

(2x - 2) + (74) = (7x + 2)

Find the value of x using the equation above.

2x - 2 + 74 = 7x + 2

Collect like terms

2x + 72 = 7x + 2

-2 + 72 = 7x - 2x

70 = 5x

70/5 = 5x/5

14 = x

x = 14

m<CGD = 2x - 2

Plug in the value of x

m<CGD = 2(14) - 2 = 28 - 2

m<CGD = 26°

m<CGF = 7x + 2

m<CGF = 7(14) + 2 = 98 + 2

m<CGF = 100°

Answer:

360 meters

Step-by-step explanation:

15 x 24 = 360

24 is how many seconds

The cheetah runs 15 meter PER second

Answer:

5 kilometers is equal to about 16,404 feet.

Answer:

2[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

1[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{4}{5}[/tex]

[tex]\frac{5}{3}[/tex] ÷ [tex]\frac{4}{5}[/tex]

[tex]\frac{5}{3}[/tex] * [tex]\frac{5}{4}[/tex]

[tex]\frac{25}{12}[/tex]

[tex]2\frac{1}{12}[/tex]

Answer:

A) even number is 3/6 = 1/2

B) getting a factor of 6 is 2/6 = 2/3

Answer:

A.) the probability of getting an even number is 1/2

B.) probability of getting a factor of 6 is 2/3

Step-by-step explanation:

I hope this helps

Answer:

61 bales of hay

Step-by-step explanation:

38 + 61 = 99

Answer:

3x + 5.

Step-by-step explanation:

factor out 1/6 (1/2 • 1/3)

distribute the 3 from the paranthesis

1/6 (3(8x + 4) + 2(9-3x))

1/6(24x + 12 + 2(9-3x))

distribute 2 through parentheses

1/6(24x+12+18-6x)

collect like terms:

1/6(18x + 12 + 18) > 1/6(18x +30)

factor out 6

1/6 • 6(3x+5)

reduce with GCF (6)

3x + 5

Answer:  The simplified expression is:  " [tex]3x + 5[/tex] " .

______________________________

Step-by-step explanation:

______________________________

Given the expression:

______________________________

" One-half (8 x + 4) + one-third (9 minus 3x) "  ;

We can rewrite that as:

[tex]\frac{1}{2}[/tex] [tex](8x+4) + \frac{1}{3}(9-3x)[/tex]

Now, let us simplify the expression:

Start with:

[tex]\frac{1}{2}(8x+4)[/tex] ;

Note the "distributive property" of multiplication:

  a(b + c)  = ab + ac ;

Likewise:

[tex]\frac{1}{2}{(8x +4) = (\frac{1}{2})8x + (\frac{1}{2})4=\frac{8}{2}x +\frac{4}{2} =4x +2[/tex] ;  '

Now continue with the remaining part of the expression:

[tex]+\frac{1}{3}(9-3x)[/tex] ;

Again, use the "distributive property" of multiplication:

     a(b + c)  = ab + ac ;

[tex]+\frac{1}{3}(9-3x)= (\frac{1}{3})9+(\frac{1}{3})(-3x)=\frac{9}{3}+(-\frac{3}{3}x)=3+(-1x);[/tex]

                                                                          =  3 − 1x ;

                                                                          =  3 − x  ;

________________________________________

Now, combine both terms within the expression; to simplify the expression:  

   [tex](4x + 2) + (3 -x)[/tex] ;

Rewrite as:

   [tex]4x + 2 + 3 - x[/tex] ;

Now, combine the "like terms":

  [tex]^+4x -x = 4x -1x = 3x[/tex] ;

  [tex]^+2 +3 = 5[/tex]  ;

The simplified expression is:  " [tex]3x + 5[/tex] " .

________________________________________

Hope this is helpful to you!  Best wishes!

_________________________________________

[tex]\tt{Hey~there![/tex]

[tex]\tt{12.48+(-10.636)[/tex]

[tex]\tt{Remove~parenthesis:[/tex]

[tex]\tt{12.48+-10.636[/tex]

[tex]\tt{1.844[/tex]

[tex]\tt{Hope~this~helps![/tex]

[tex]\boxed{\tt{-TestedHyperr}}[/tex]

The value of the expression 12.48 + (−10.636) will be 1.844.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.

The expression is given below.

⇒ 12.48 + (−10.636)

⇒ 12.48 − 10.636

⇒ 1.844

The value of the expression 12.48 + (−10.636) will be 1.844.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

(1.5,2)

Step-by-step explanation:

you add the x coordinates then divide them by 2

And then you add the y coordinates then divide them by 2

x = 0

Hi there !

9x + 2y = 10

replace y = 5

9x + 2×5 = 10

9x + 10 = 10

9x = 10 - 10

9x = 0

x = 0

Good luck !

Answer:

12

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

i got 6.6? maybe that helps (:

Answer: 623 /18

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since, lines l and m are parallel and a transverse is intersecting these lines.

5). (9x + 2)° = 119° [Alternate intrior angles]

    9x = 117 ⇒ x = 13

6). (12x - 8)° + 104° = 180°

     12x = 180 - 96

     x = [tex]\frac{84}{12}[/tex] ⇒ x = 7

7). (5x + 7) = (8x - 71) [Alternate exterior angles]

    8x - 5x = 71 + 7

    3x = 78

    x = 26

8). (4x - 7) = (7x - 61) [Corresponding angles]

    7x - 4x = -7 + 61

    3x = 54

    x = 18

9). (9x + 25) = (13x - 19) [Corresponding angles]

    13x - 9x = 25 + 19

    4x = 44

    x = 11

   (13x - 19)° + (17y + 5)° = 180°[Linear pair of angles are supplementary]

    (13×11) - 19 + 17y + 5 = 180

    129 + 17y = 180

    17y = 180 - 129

     y = 3

10). (3x - 29) + (8y + 17) = 180 [linear pair of angles are supplementary]

     3x + 8y = 180 + 12

     3x + 8y = 192 -----(1)

     (8y + 17) = (6x - 7) [Alternate exterior angles]

     6x - 8y = 24

     3x - 4y = 12 -----(2)

     Equation (1) - equation (2)

     (3x + 8y) - (3x - 4y) = 192 - 12

     12y = 180

     y = 15

     From equation (1),

     3x + 8(15) = 192

     3x + 120 = 192

    x = 24

11). (3x + 49)° = (7x - 23)° [Corresponding angles]

    7x - 3x = 49 + 23

    4x = 72 ⇒ x = 18

    (11y - 1)° = (3x)° [Corresponding angles]

    11y = 3×18 + 1

     11y = 55 ⇒ y = 5  

12). (5x - 38)° = (3x - 4)° [Corresponding angles]

     5x - 3x = 38 - 4

     2x = 34

     x = 17

     (7y - 20)° + (5x - 38)° + 90° = 180°

     [Sum of interior angles of a triangle = 180°]

     7y + 5x - 58 = 90

     5x + 7y = 148

     5×17 + 7y = 148

     85 + 7y = 148

     7y = 148 - 85

     y = [tex]\frac{63}{7}=9[/tex]

Angles can be congruent based n several theorems; some of these theorems are: corresponding angles, vertical angles, alternate exterior angles and several others.

The values of x and y are:

Question 5:

Angles (9x + 2) and 119 are alternate angles.

Alternate angles are equal. So, we have:

[tex]\mathbf{9x +2 = 119}[/tex]

Subtract 2 from both sides

[tex]\mathbf{9x = 117}[/tex]

Divide both sides by 9

[tex]\mathbf{x = 13}[/tex]

Question 6:

Angles (12x - 8) and 104 are interior angles.

Interior angles add up to 180. So, we have:

[tex]\mathbf{12x -8 + 104 = 180}[/tex]

Collect like terms

[tex]\mathbf{12x = 180 - 104 + 8}[/tex]

[tex]\mathbf{12x = 84}[/tex]

Divide both sides by 12

[tex]\mathbf{x = 7}[/tex]

Question 7:

Angles (5x + 7) and (8x - 71) are alternate exterior angles.

Alternate exterior angles are equal. So, we have:

[tex]\mathbf{5x + 7 = 8x - 71}[/tex]

Collect like terms

[tex]\mathbf{8x - 5x= 71 + 7}[/tex]

[tex]\mathbf{3x= 78}[/tex]

Divide both sides by 3

[tex]\mathbf{x= 26}[/tex]

Question 8:

Angles (4x - 7) and (7x - 61) are corresponding angles.

Corresponding angles are equal. So, we have:

[tex]\mathbf{4x - 7 = 7x - 61}[/tex]

Collect like terms

[tex]\mathbf{4x - 7x = 7 - 61}[/tex]

[tex]\mathbf{- 3x = -54}[/tex]

Divide both sides by -3

[tex]\mathbf{x = 18}[/tex]

Question 9:

Angles (9x + 25) and (13x - 19) are corresponding angles.

Corresponding angles are equal. So, we have:

[tex]\mathbf{9x + 25 = 13x - 19}[/tex]

Collect like terms

[tex]\mathbf{9x -13x = -25 - 19}[/tex]

[tex]\mathbf{-4x = -44}[/tex]

Divide both sides by -4

[tex]\mathbf{x = 11}[/tex]

Angles (17y + 5) and (13x - 19) are supplementary angles.

So, we have:

[tex]\mathbf{17y + 5 = 13x - 19}[/tex]

Substitute 11 for x

[tex]\mathbf{17y + 5 = 13\times 11 - 19}[/tex]

[tex]\mathbf{17y + 5 = 124}[/tex]

Subtract 5 from both sides

[tex]\mathbf{17y = 119}[/tex]

Divide both sides by 17

[tex]\mathbf{y = 7}[/tex]

Question 10:

Angles (3x - 29) and (6x - 7)  add up to 180

So, we have:

[tex]\mathbf{3x -29 + 6x - 7 = 180}[/tex]

Collect like terms

[tex]\mathbf{3x + 6x = 180 + 7 + 29}[/tex]

[tex]\mathbf{9x = 216}[/tex]

Divide both sides by 9

[tex]\mathbf{x = 24}[/tex]

Angles (3x - 29) and (8y + 17) are supplementary angles.

So, we have:

[tex]\mathbf{3x - 29 + 8y + 17 = 180}[/tex]

Substitute 24 for x

[tex]\mathbf{3 \times 24 - 29 + 8y + 17 = 180}[/tex]

[tex]\mathbf{43 + 8y + 17 = 180}[/tex]

Collect like terms

[tex]\mathbf{8y = 180 - 43 - 17}[/tex]

[tex]\mathbf{8y = 120}[/tex]

Divide both sides by 8

[tex]\mathbf{y = 15}[/tex]

Question 11:

Angles (7x - 23) and (49 + 3x) are corresponding angles

So, we have:

[tex]\mathbf{7x - 23 = 49 + 3x}[/tex]

Collect like terms

[tex]\mathbf{7x - 3x = 49 + 23}[/tex]

[tex]\mathbf{4x = 72}[/tex]

Divide both sides by 4

[tex]\mathbf{x = 18}[/tex]

Angles 3x and (11y - 1) are corresponding angles.

So, we have:

[tex]\mathbf{3x = 11y - 1}[/tex]

Substitute 18 for x

[tex]\mathbf{3 \times 18 = 11y - 1}[/tex]

[tex]\mathbf{54 = 11y - 1}[/tex]

Collect like terms

[tex]\mathbf{11y =54+ 1}[/tex]

[tex]\mathbf{11y =55}[/tex]

Divide both sides by 11

[tex]\mathbf{y =5}[/tex]

Question 12:

Angles (5x - 38) and (3x - 4) are corresponding angles

So, we have:

[tex]\mathbf{5x - 38 = 3x - 4}[/tex]

Collect like terms

[tex]\mathbf{5x - 3x = 38 - 4}[/tex]

[tex]\mathbf{2x = 34}[/tex]

Divide both sides by 2

[tex]\mathbf{x = 17}[/tex]

Angles (7y - 20) and (5x - 38) are angles at the other legs of a right-angled triangle.

So, we have:

[tex]\mathbf{7y - 20 +5x - 38 = 90}[/tex]

Substitute 17 for x

[tex]\mathbf{7y - 20 +5 \times 17 - 38 = 90}[/tex]

[tex]\mathbf{7y+ 27 = 90}[/tex]

Collect like terms

[tex]\mathbf{7y=- 27 +90}[/tex]

[tex]\mathbf{7y=63}[/tex]

Divide both sides by 7

[tex]\mathbf{y=9}[/tex]

Read more about congruence angles at:

https://brainly.com/question/24623240

Answer:

[tex]f(2x) = 8x^{2} +3[/tex]

Step-by-step explanation:

f (x) = 2x²+3

f(2x) = [tex]2(2x)^{2}[/tex] + 3

f(2x) = [tex]2(4x^{2} )[/tex] + 3

f(2x) = [tex]8x^{2}[/tex] + 3

Answer:

r = -0.2

Step-by-step explanation:

5r-50=-51

5r=-1

r= -0.2

Thats what I got based on PEMDAS...

Answer:

[tex]\boxed {r = -\frac{1}{5}}[/tex]

Step-by-step explanation:

Solve for the value of [tex]r[/tex]:

[tex]5(r - 10) = -51[/tex]

-Use Distributive Property:

[tex]5(r - 10) = -51[/tex]

[tex]5r - 50 = -51[/tex]

-Add [tex]50[/tex] on both sides:

[tex]5r - 50 + 50 = -51 +50[/tex]

[tex]5r = -1[/tex]

-Take [tex]5[/tex] and divide it on both sides:

[tex]\frac{5r}{5} = \frac{-1}{5}[/tex]

[tex]\boxed {r = -\frac{1}{5}}[/tex]

Therefore, the value of [tex]r[/tex] is [tex]-\frac{1}{5}[/tex].

Answer: yes that is a function

Step-by-step explanation:

It is a function because every y value has a unique x value

Answer:

6x=100 that's the algebraic expression

Answer: npo

Step-by-step explanation:

Answer:

[tex]\frac{2x+7}{3}[/tex]

Step-by-step explanation:

Assuming you require a single fraction.

Given

[tex]\frac{2x+1}{3}[/tex] + 2 ← express 2 as [tex]\frac{6}{3}[/tex]

= [tex]\frac{2x+1}{3}[/tex] + [tex]\frac{6}{3}[/tex]

The fractions now have a common denominator, thus add the numerators leaving the denominator.

= [tex]\frac{2x+1+6}{3}[/tex]

= [tex]\frac{2x+7}{3}[/tex]

Answer:

The parametrization of the curve on the surface is

[tex]c(t) = [x(t) , y(t), z(t)] \equiv [\frac{\sqrt{97} }{2} cost - 4 , \frac{\sqrt{97} }{2} sint + \frac{5}{2} , 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2} ][/tex]

Where

   [tex]x =  \frac{\sqrt{97} }{2} cost - 4[/tex]

    [tex]y = \frac{\sqrt{97} }{2}  sint  + \frac{5}{2}[/tex]

[tex]z = 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2}[/tex]

Step-by-step explanation:

From the question we are told that

The equation for the paraboloid is [tex]z = x^2 + y^2[/tex]

The equation of the plane is [tex]8x - 5y + z -2 = 0[/tex]

Form the equation of the plane we have that

[tex]z = 5y -8x +2[/tex]

So

[tex] x^2 + y^2 = 5y -8x +2 [/tex]

=> [tex] x^2 + 8x + y^2 -5y = 2 [/tex]

Using completing the square method to evaluate the quadratic equation we have

[tex](x + 4)^2 + (y - \frac{5}{2} )^2 = 2 +(\frac{5}{2} )^2 + 4^2[/tex]

[tex](x + 4)^2 + (y - \frac{5}{2} )^2 = \frac{97}{4}[/tex]

[tex](x + 4)^2 + (y - \frac{5}{2} )^2 = ( \frac{\sqrt{97} }{2} )^2[/tex]

representing the above equation in parametric form

[tex](x + 4) = \frac{\sqrt{97} }{2} cost[/tex] , [tex](y -\frac{5}{2} ) = \frac{\sqrt{97} }{2} sin t[/tex]

[tex]x = \frac{\sqrt{97} }{2} cost - 4[/tex]

[tex]y = \frac{\sqrt{97} }{2} sint + \frac{5}{2}[/tex]

So from [tex]z = 5y -8x +2[/tex]

[tex]z = 5[\frac{\sqrt{97} }{2} sint + \frac{5}{2}] -8[ \frac{\sqrt{97} }{2} cost - 4] +2[/tex]

[tex]z = 5\frac{\sqrt{97} }{2} sint + \frac{25}{2} -8 \frac{\sqrt{97} }{2} cost + 32 +2[/tex]

[tex]z = 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2}[/tex]

Generally the parametrization of the curve on the surface is mathematically represented as

[tex]c(t) = [x(t) , y(t), z(t)] \equiv [\frac{\sqrt{97} }{2} cost - 4 , \frac{\sqrt{97} }{2} sint + \frac{5}{2} , 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2} ][/tex]

Answer:

25.2982212813 ft.

Step-by-step explanation:

24^2 + 8^2 = 640

square root of 640 is 25.2982212813 ft.

i can round it if you need me to but that is what it is

Answer:

x = 4

Step-by-step explanation:

From the figure attached,

Two lines l and m are the parallel lines.

Angle BAD is an exterior angle of triangle ABC.

By the theorem of exterior angle of a triangle,

"Exterior angle of a triangle is equal to the sum of two opposite interior angles."

m(∠BAD) = m(∠ABC) + m(∠BCA)

28x = 16x + 48

28x - 16x = 48

12x = 48

x = 4

Therefore, x = 4 will be the answer.  

Using tha appropriate triangle theorem, the value of x in the given triangle is 4

Recall the theorem ;

Expressing as an equation :

16x + 48 = 28x

Collect like terms

16x - 28x = - 48

-12x = - 48

x = 48/12

x = 4

Therefore, the value of x is 4.

Learn more : https://brainly.com/question/18581754

Answer:

it problely 16 is close

Step-by-step explanation:

it dipens where the numeber is place at

The area of the semicircle is 25.133 cm².

[tex]\rm{Area\ of\ semicircle = \dfrac{Area\ of\ Circle}{2}[/tex]

[tex]\rm{Area\ of\ semicircle = \dfrac{\pi \times r^2}{2}[/tex]

diameter, d = 8 cm,

radius, r = [tex]\dfrac{diamter}{2} = \dfrac{8}{2} = 4\ cm[/tex]

[tex]\rm{Area\ of\ semicircle = \dfrac{Area\ of\ Circle}{2}[/tex]

[tex]\rm{Area\ of\ semicircle = \dfrac{\pi \times r^2}{2}[/tex]

[tex]\rm{Area\ of\ semicircle = \dfrac{\pi \times 4^2}{2} = \dfrac{\pi \times 4 \times 4}{2}=8\pi\ cm^2[/tex]

Therefore, the area of the semicircle is 8π cm² = 25.133 cm².

Hence, the area of the semicircle is 25.133 cm².

Learn more about Semicircle:

https://brainly.com/question/9882703

The area of a semicircle with diameter 8cm is; 25.14cm²

The area of a circle is given by the formula;

Area = πr²

Therefore, Area of a semicircle is;

Read more on area of a semicircle;

https://brainly.com/question/19581549

Answer:

x = -7

Step-by-step explanation:

So we are asked to find what x is equal to in the equation:

[tex]\frac{x}{7}-4=-5[/tex]

In other words, we are asked to solve for x.

[tex]\frac{x}{7}-4=-5[/tex]

Add 4 to both sides of the equation.

[tex]\frac{x}{7}=-1[/tex]

Multiply both sides by 7.

x = -7

So we have solve the equation for x and have found that x = -7.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

6

Step-by-step explanation:

60 ÷ 100 × 90 = 54 students passed

60 - 54 = 6 didn't not pass

hope this helps!

Answer:

1000

Step-by-step explanation:

22.4×49.8= 1115.52

one significant figure is the first number and if there is a number after it and is below 5 then the first number stays the and add a zero

Examples

15 to one significant figure =20

234 to significant figure =200

15 to two significant figure =15 it stays the same

234 to two significant figure = 230