Comstruct a parallelogram ABCD such that DC=6cm,angleADC=75 degree and the diagonal BD=9cm,construct the bisector of angle ADC and side AB,locate the point p where the two bisector meet,measure AP,DP,and angle APD.​

Recall the half-angle identity,

cos²(x/2) = (1 + cos(x))/2

This means

[tex]\cos^2\left(\dfrac12 \arccos\left(-\dfrac{12}{13}\right)\right) = \dfrac{1 + \cos\left(\arccos\left(-\frac{12}{13}\right)\right)}2 = \dfrac{1 - \frac{12}{13}}2 = \boxed{\frac1{26}}[/tex]

Answer:

x = 54, so the vertical angles are 110°.

Step-by-step explanation:

[tex]2x + 2 = 3x - 52[/tex]

[tex]2 = x - 52[/tex]

[tex]x = 54[/tex]

[tex]2(54) + 2 = 108 + 2 = 110[/tex]

[tex]3(54) - 52 = 162 - 52 = 110[/tex]

Answer:

1) geometric sequence

2) geometric sequence

3) arithmetic sequence

Step-by-step explanation:

First two sequences are geometric sequences

The geometric sequences are  sequences where each term is made by multiplying the preceding term by the same value

In here the first sequence is multiplied by 4

the second one is multiplied by -3

The third one however is set by adding 5 to the number each time

So the third one is an arithmetic sequence

Answer:

67.5 UNITS 2

Step-by-step explanation:

1/2 x 3 x 5 = 7.5

35 + 25 + 7.5 = 67.5 units 2

The area of a 2D form is the amount of space within its perimeter.The area of the compound figure is 67.5 units².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units, such as cm², m², etc. To find the area of a square formula or any other quadrilateral, multiply its length by its width.

The area of the compound figure will be the sum of the different shapes and can be named as shown below.

The area of the compound figure = Area of triangle A + Area of triangle B + Area of rectangle C + Area of triangle D

[tex]\text{The area of the compound figure} = (0.5 \times 7 \times10) + (0.5 \times 5 \times5) + ( 5\times 3 ) +(0.5\times5\times2)\\\\\text{The area of the compound figure} = 35 + 12.5 + 15 + 5\\\\\text{The area of the compound figure} = 67.5\rm\ units^2[/tex]

Hence, the area of the compound figure is 67.5 units².

Learn more about the Area:

https://brainly.com/question/11952845

#SPJ2

Answer:

Consistent dependent

3x - 3y = 6  and  -x + y = -2

Step-by-step explanation:

Inconsistent: parallel lines, no solutions

Consistent dependent: same line, infinite solutions

Consistent independent: intersects at one point, one solution

Therefore, the pair of lines are Consistent dependent

From inspection of the diagram:

The lines will have equivalent equations.

Therefore, the solution is 3x - 3y = 6  and  -x + y = -2

Because:

3x - 3y = 6  ⇒  y = x - 2

-x + y = -2 ⇒  y = x - 2

To find a linear question, we must have two points on the line and we must know the slope.

Let us choose two points at random:

    (-6,12)    and    (-5,14)

Now let us find the slope of the linear line:

 [tex]m = \frac{y2-y1}{x2-x1} =\frac{14-12}{-5--6} = 2[/tex]

   So the slope is 2.

Now let us set up the equation which now requires only one point and the slope

      let us use the point (-6,12) and the slope of 2

      [tex]y-12 = 2(x+6)\\y = 2x +12 +12\\y= 2x +4[/tex]

So the linear line is y = 2x + 4.

Hope that helps!

Answer:

7n + 8 = 12

Step-by-step explanation:

I believe you're looking for an algebraic equation, but let me know if you need it to be solved! :)

Answer:

92

Step-by-step explanation:

Number equal to 12 is 12 ~ 8 added to the number (addition)

7 * 12 = 84

84 + 8 = 92

Answer:

A 61377

B 87405

Step-by-step explanation:

If sum of the digits of a number is divisible by 3, then that number is also divisible by 3.

Option A:

Given number is: 61377

Sum of the digits = 6+1+3+7+7 = 24

24 is divisible by 3, hence 61377 is also divisible by 3.

Option B:

Given number is: 87405

Sum of the digits = 8+7+4+0+5 = 24

24 is divisible by 3, hence 87405 is also divisible by 3.

Option C:

Given number is: 30898

Sum of the digits = 3+0+8+9+8 = 28

28 is not divisible by 3, hence 30898 is also not divisible by 3.

Similarly, sum of the digits of the numbers in options D, E and F are 8, 22 and 26 respectively, which are not divisible by 3, hence the numbers 6020, 29830 and 75932 are also not divisible by 3.

Answer:I think over 3.

Step-by-step explanation:

open bracket pi over 3 comma 2 times pi over 3 comma 4 times pi over 3 comma 5 times pi over 3 close bracket

open bracket pi over 3 comma 5 times pi over 3 close bracket.

The solution of the trigonometric function will be π/3, 2π/3, 4π/3, and 5π/3. Then the correct option is C.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The trigonometric equation is given below.

1/cos θ = 4 cos θ

The interval of the cos θ is [0, 2π).

Simplify the trigonometric equation, then the equation will be

cos² θ = 1/4

Taking square root on both side, then the equation will be

cos θ = ±1/2

Taking cosine inverse, then the equation will be

θ = cos ⁻¹(1/2)

θ = π/3, 2π/3, 4π/3, 5π/3

The solution of the trigonometric function will be π/3, 2π/3, 4π/3, and 5π/3.

Then the correct option is C.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ5

Answer:

[tex]A(t)=-1.8t-4.5[/tex]

Step-by-step explanation:

Mr.Mole's digging can be described by a linear model of general equation:

[tex]A(t)=m*t+c[/tex]

Where "m" is the rate at which he descends. Note that since the function A(t) measure his altitude relative to the ground, the rate "m" must be negative.

[tex](m=-1.8)[/tex]

[tex]A(t)=-1.8*t+c[/tex]

The constant "c" is his starting position. To find this value, assign the given data at t = 5 min to the equation above

[tex]-13.5=-1.8*5+c\\c=-4.5m[/tex]

Therefore, the function A(t) is described by the following formula:
[tex]A(t)=-1.8t-4.5[/tex]

Answer:

unbalanced

Step-by-step explanation:

Because if it were balanced, the net force would be 0. Here, the 12N force is towards the right meaning it would be accelerating towards the right upon the application of force.

Answer:

Dozen; A set of 12

4 dozen:- 4 x 12 = 48 glasses in total

5/12 of the 48 glasses are wasted

5/12 x 48 = 20 glasses are broken

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

Work Shown:

1 dozen glasses = 12 glasses

4 dozen glasses = 48 glasses

48*(5/12) = 20 glasses are broken

--------------

Alternative route:

5 glasses out of 12 are broken

This is the same as saying 5 glasses out of 1 dozen are broken.

Multiply both values by 4 to get 4*5 = 20 glasses broken out of 4*1 = 4 dozen.

Answer:

The slope is 2/3

Step-by-step explanation:

Take the line from the point it is touching then go up 2 and right 3 which is 2/3 and if the patter repeats then that's how you know its right.

»int 5x⁴ dx = ?

»(5/4 + 1)x⁴+¹ + c

»5/5 x^5 + c

»x^5 + c✅

[tex]\\ \rm\hookrightarrow {\displaystyle{\int}}5x^4dx[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{5x^{4+1}}{4+1}[/tex]

[tex]\\ \rm\hookrightarrow 5(\dfrac{x^5}{5})[/tex]

Cancel 5

[tex]\\ \rm\hookrightarrow x^5[/tex]

Answer:

the distance between city C and D is 7.6 inches

given:

solving similarities:

[tex]\hookrightarrow \sf \dfrac{5616 }{8.5 } = \dfrac{5041 }{x}[/tex]

change sides

[tex]\hookrightarrow \sf 5616x = 5041(8.5)[/tex]

simplify

[tex]\hookrightarrow \sf 5616x = 42848.5[/tex]

change sides

[tex]\hookrightarrow \sf x = \dfrac{42848.5}{5616}[/tex]

simplify

[tex]\hookrightarrow \sf x = 7.62972[/tex]

rounded to nearest one decimal place

[tex]\hookrightarrow \sf x = 7.6[/tex]

Let that be x

[tex]\\ \rm\bull\rightarrowtail \dfrac{8.5}{5616}=\dfrac{x}{5041}[/tex]

[tex]\\ \rm\bull\rightarrowtail 0.0015=\dfrac{x}{5041}[/tex]

[tex]\\ \rm\bull\rightarrowtail x=0.0015(5041)[/tex]

[tex]\\ \rm\bull\rightarrowtail x=7.6in[/tex]

Answer:

  190 ft deep

Step-by-step explanation:

What the problem doesn't tell you is that "this situation" is the height of the ball relative to the ground level Lisa is standing on. The ball is dropped from a height of 6 feet above that level. The variable 'h' is said to represent the drop height (in feet), so h = 6. Evaluating the expression for t=3.5 will tell the height of the ball relative to ground level after 3.5 seconds.

  -16(3.5)² +6 = -196 +6 = -190

The bottom of the well is 190 feet below ground level.

Answer:

see below

Step-by-step explanation:

Line 2 (the line that is darker in your pic) is wrong because the sign for 8 goes from "+" to "-". It should be +4x-8 in order for it to be correct

The Answer is 1/3-x +2.236068

Answer:

21 years

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other.

So, AD = BA

15x - 22 = 4x

Add 22 to both sides

15x  = 4x + 22

Now, subtract 4x from both sides

15x - 4x = 22

       11x = 22

Divide both sides by 11

x = 22/11

x = 2

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope we simply need two points off of it, hmm Check the picture below.

[tex]\textit{\Large Website A}\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{1400})\qquad (\stackrel{x_2}{20}~,~\stackrel{y_2}{2150}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2150}-\stackrel{y1}{1400}}}{\underset{run} {\underset{x_2}{20}-\underset{x_1}{10}}}\implies \cfrac{750}{10}\implies 75 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{\Large Website B}\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{900})\qquad (\stackrel{x_2}{20}~,~\stackrel{y_2}{1800}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1800}-\stackrel{y1}{900}}}{\underset{run} {\underset{x_2}{20}-\underset{x_1}{10}}}\implies \cfrac{900}{10}\implies \boxed{90}[/tex]

Answer:

the answer is 3.6 so I say yes It reasonable it's about there

Answer:

$68.75 cents

Step-by-step explanation:

Given the following question:

25% of 55

In order to find the answer, we must first use the formula to calculate percentages to calculate 25% of 55, then we use that answer to add on the initial amount.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{25\times 55}{100} =25\times55=1375\div100=13.75[/tex]
[tex]=13.75[/tex]

Now add:
[tex]55+13.75=68.75[/tex]
[tex]=68.75[/tex]

After a 25% increase on an item that costs 55 dollars, the new sale price will cost "$68.75 cents."

Hope this helps.

Answer:

0.003

Step-by-step explanation:

3 ml    =    0.003 L, l

Answer:

3/4

Step-by-step explanation:

12 / 36 = 3

12 / 48 = 4

Answer: f(s) = 25m + 263.

Step-by-step explanation:

This is an example of a linear equation, which can be written in the form:

y= mx+b

f(x) = mx+b

f(s) = 25m + 263.

or just s=25m + 263 if that's what the answer format should be

Where the amount of savings is equal to 25 dollars per month plus the original amount of money saved.

Answer:

357

Step-by-step explanation:

Multiply: 340*1.05=357

Answer:

y = 39

Step-by-step explanation:

Solve:

-Chetan K