Find the perimeter and area of the figure. Round your answer to the nearest hundredth, if necessary.​

Given:

The figure of circle E. [tex]m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ[/tex].

To find:

The measure of arc AD.

Solution:

We know that the inscribed angles on the same arc are congruent and their measures are equal.

[tex]\angle ABD[/tex] and [tex]\angle ACD[/tex] are inscribed angles on the same arc AD. So,

[tex]m\angle ABD=m\angle ACD[/tex]

[tex]11x-3=8x+15[/tex]

[tex]11x-8x=3+15[/tex]

[tex]3x=18[/tex]

[tex]x=6[/tex]

Now,

[tex]m\angle ABD=(11x-3)^\circ[/tex]

[tex]m\angle ABD=(11(6)-3)^\circ[/tex]

[tex]m\angle ABD=(66-3)^\circ[/tex]

[tex]m\angle ABD=63^\circ[/tex]

We know that the intercepted arc is always twice of the inscribed angle.

[tex]m(Arc(AD))=2\times m\angle ABD[/tex]

[tex]m(Arc(AD))=2\times 63^\circ[/tex]

[tex]m(Arc(AD))=126^\circ[/tex]

Therefore, the measure of arc AD is 126 degrees.

answer 2.5 i have solved the problem three times in my geometry class and got the same answer all three times

Considering the diagram below the value which represent the missing side, round to the nearest below, tenth, is 2 units.

Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of the other two legs of right angle triangle.

The image of the given problem is attached below. In this diagram, the radius of the circle is 1.5 meter long.

The triangle ABC shown in the graph is right angle triangle as, the tangent of the circle is perpendicular with the radius of it at the point of contact.

Thus, by the Pythagoras theorem,

[tex](AB)^2+(BC)^2=(AC)^2\\(1.5)^2+(x)^2=(1.5+1)^2\\(x)^2=(2.5)^2-(1.5)^2\\x=\sqrt{6.25-2.25}\\x=\sqrt{4}\\x=2\rm\; units[/tex]

Thus, considering the diagram below the value which represent the missing side, round to the nearest below, tenth, is 2 units.

Learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

#SPJ2

Answer:

[tex]0.28\ \text{m}^2[/tex]

Step-by-step explanation:

[tex]4\ \text{cm}=0.2\ \text{m}[/tex]

[tex]1\ \text{cm}=\dfrac{0.2}{4}=0.05\ \text{m}[/tex]

[tex]28\ \text{cm}=28\times 0.05=1.4\ \text{m}[/tex]

The height of the layer is 0.2 m and the length is 1.4 m

Area is given by

[tex]0.2\times 1.4=0.28\ \text{m}^2[/tex]

Area of the actual quartz layer section is [tex]0.28\ \text{m}^2[/tex].

Answer:

What're the questions??

Step-by-step explanation:

why did this just now show up for me when it was in 2021 bro

Answer:

3.75

Step-by-step explanation:

|-3.75|=3.75

Answer:

solution:

[tex] \sqrt{128 \times 2} [/tex]=[tex] \sqrt{16²} [/tex]=±16 is your answer

Answer:

Direction of travel.

Step-by-step explanation:

Given that two vehicles traveled 200 km in 3 hours ;

Distance apart after 3 hours = 400 km

A logical solution to this final distance between the two cars can be explained by their direction of travel.

Since the Cars both covered the same distance over the same period of time, the both cars must have started from a common point and traveled in opposite direction.

Meaning ;

Car 1 traveled 200 km in a certain direction

Car 2 traveled 200km in the opposite direction

Hence, distance between the cars will be :

Distance covered by car 1 + distance covered by car 2

200km + 200km = 400km

Answer:

3) A circle Is a locus of a moving point which moves from equal distance in q fixed path.

Answer:

1. is no its a dialation and 2. is yes

Step-by-step explanation:

Answer:

everything is in the picture

Answer:

42

Step-by-step explanation:

Area of parallelogram us 1/2 × bh

1/2 ×14×6

=42

Answer:

C

Step-by-step explanation:

Given

x² - 2x + 2 = 0 ( subtract 2 from both sides )

x² - 2x = - 2

To solve use the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 1)x + 1 = - 2 + 1

(x - 1)² = - 1 ( take the square root of both sides )

x - 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 1 to both sides )

x = 1 ± i , then

x = 1 + i or x = 1 - i → C

.. .. ..

Answers:

Hope this helps!

--Applepi101

Hi nice to meet u ! U seem like such a sweet cool person-----------------------------------------------------------i need friends too :)

Answer:

hi same im from the us and my fist language is Spanish also i hate math but like history and i like anime favorite anime is AOT favorite manga is berserk and favorite game to play is terraria

Step-by-step explanation:

Answer:

2 i think

Step-by-step explanation:

if a/b is 2 then it means a/b is equivalent to  2/1 so the value of a would be 2 and the value of b would be 1 so then for 4b/a we would plug in the values giving us 4(1)/2 which gives us a final answer of 2

Answer:

2

Step-by-step explanation:

We can assume a = 2 and b = 1 since that is the smallest values that will equal 2.

add these values into the equation

4(1)/2

4/2

2

Answer:

340

Step-by-step explanation:

is because they will gain profit

Answer:

the answer is 340

3.20 x 20 = 640

Step-by-step explanation:

hope this helps!

Answer:

(m + 2)

Step-by-step explanation:

First, factorise out m from the first equation:

m² + 2m = m (m + 2)

Second, use difference of two squares to factorise the 2nd equation:

m² - 4 = (m + 2) (m - 2)

Third, just factorise the last one normally as you would to solve for m:

m² + 3m + 2 = (m + 2) (m + 1)

Finally, to find the lowest common multiple, you need to identify what value goes into all of the equations and that is (m + 2).

Answer:

b = 2a + 3

Step-by-step explanation:

Here, we want to write an expression for b in terms of a

Mathematically, the formula for the slope of a line is

m = (y2-y1)/(x2-x1)

m is 2

(x1,y1) = (-1,1)

(x2,y2) = (a,b)

Substituting these values

2 = (b-1)/(a-(-1))

2 = b-1/a + 1

2(a + 1) = b-1

2a + 2 = b- 1

2a + 2 + 1 = b

b = 2a + 3

Step-by-step explanation:

These problems are about like terms.  Those are terms that are alike (same variables) but the coefficients (numbers in front) can be different.

1.  12m + 24m = 36m

2.  90a - 30a = 60a

Example:  6k + 8k + 10 = 14k + 10  (the part of the expression that's just a number does not combine with the parts that have variables).

3.  29b + 8

4.  36d + 25  (the terms with d in them combine--they don't have to be back-to-back)

5.  This is about the Distributive Property; first multiply 14 + 15f both by 3, then look for opportunities to combine like terms.

3(14 + 15f) + 79 = 42 + 45f + 79 = 121 + 45f

6.  20(18 + 5t) - 47 + 28t = 360 + 100t - 47 + 28t

    = 313 + 128t

Answer:

d

Step-by-step explanation:

convert 6/10 to the same denominator as the other fraction (100) by multiplying the entire fraction by 10 resulting in 60/100 then add 16/100

Answer:

D) 76/100

Step-by-step explanation:

16/100 + 6/10 = ?

16/100 + 60/100 = ?

16/100 + 60/100 = 76/100

Answer:

4 days

Step-by-step explanation:

216/3 = 72

72/18 = 4

Answer:

h > 12

Step-by-step explanation:

have a good day!! :)

Answer:

H>12

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "65.7" was replaced by "(657/10)". 3 more similar replacement(s)

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

               (19/10)*(h)+(429/10)-((657/10))>0

Step by step solution :

STEP

1

:

           657

Simplify   ———

           10

Equation at the end of step

1

:

   19         429     657

 ((—— • h) +  ———) -  ———  > 0

   10         10      10

STEP

2

:

           429

Simplify   ———

           10

Equation at the end of step

2

:

   19         429     657

 ((—— • h) +  ———) -  ———  > 0

   10         10      10

STEP

3

:

           19

Simplify   ——

           10

Equation at the end of step

3

:

   19         429     657

 ((—— • h) +  ———) -  ———  > 0

   10         10      10

STEP

4

:

Adding fractions which have a common denominator :

4.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

19h + 429     19h + 429

—————————  =  —————————

   10            10    

Equation at the end of step

4

:

 (19h + 429)    657

 ——————————— -  ———  > 0

     10         10

STEP

5

:

Adding fractions which have a common denominator :

5.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(19h+429) - (657)     19h - 228

—————————————————  =  —————————

       10                10    

STEP

6

:

Pulling out like terms :

6.1     Pull out like factors :

  19h - 228  =   19 • (h - 12)

Equation at the end of step

6

:

 19 • (h - 12)

 —————————————  > 0

      10      

STEP

7

:

7.1    Multiply both sides by  10

7.2    Divide both sides by  19

Solve Basic Inequality :

7.3      Add  12  to both sides

            h > 12

Inequality Plot :

7.4      Inequality plot for

        1.900 X  - 22.800  >  0

Answer:

US = 128.15 ft

Step-by-step explanation:

tan 31° = 77/US

0.6009 = 77/US

0.6009US = 77

US = 128.15 ft

Answer:

128.7

Step-by-step explanation:

Answer:

12:15 is NOT proportional to 3:4

Step-by-step explanation:

7.5:10 is proportional to 3:4 because 3×2.5=7.5, and 4×2.5=10.

39:52 is proportional to 3:4 because 3×13=39, and 4×13=52

45:60 is proportional to 3:4 because 3x15=45, and 4×15=60

12:15 is not proportional to 3:4 because while you can multiply 3x4=12, you can not multiply 4×4 to get 15, you get 16 instead.

the answer to your question is D.12:15

Answer:

8h=p

Step-by-step explanation:

Answer:

8h = p

or

p = 8h (this is how i wrote it and it was right)

Step-by-step explanation:

Answer:

When two parallel lines are cut by a transversal, Alternate interior angles are supplementary.

Step-by-step explanation:

Answer:

C. x<4

Step-by-step explanation:

1. Subtract 2 from both sides

2. You get x<4

Answer:

C) x < 4

Step-by-step explanation:

x + 2 < 6

x < 6 - 2

x < 4

Answer: 5(3+2)

Step-by-step explanation: and once you distribute that it gives you (15+10) so that’s how you know it’s right hope it helped

(sorry if it’s wrong lol )