If the length of the shorter arc AB is 22cm and C is the center of the circle then the circumference of the circle
is:

Answer:

[tex]B = 134^o[/tex]

Step-by-step explanation:

[tex]n = 6[/tex] --- sides

[tex]A = 170^o[/tex]

[tex]C = 107^o[/tex]

[tex]D = 102^o[/tex]

[tex]E = 117^o[/tex]

[tex]F = 90^o[/tex]

Required

The measure of B

The interior angles of a polygon is:

[tex]Angles = (n - 2) * 180[/tex]

So, we have:

[tex]Angles = (6 - 2) * 180[/tex]

[tex]Angles = 4 * 180[/tex]

[tex]Angles = 720^o[/tex]

The measure of B is calculated using:

[tex]A + B + C + D + E + F = 720[/tex]

Substitute known values

[tex]107 + B + 170 + 102 + 117 + 90 = 720[/tex]

Collect like terms

[tex]B + 107 + 170 + 102 + 117 + 90 = 720[/tex]

[tex]B + 586 = 720[/tex]

Collect like terms

[tex]B = 720 - 586[/tex]

[tex]B = 134^o[/tex]

Answer:

Basic proportionality theorem: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio. and DE intersects AB and AC at D and E respectively. ... Hence we can say that the basic proportionality theorem is proved.

[tex] \boxed{ \sf \: Basic \: Proportionality \: Theorem \: (BPT)}[/tex]

This theorem states that if a line is drawn parallel || to one side of a triangle ∆ to intersect the other 2 sides in distinct points, the other 2 sides are divided in the same ratio.

From the figure, with the help of this proof, we can see that :-

[tex]\sf \: \frac{AD}{AE} = \frac{AE}{EC} \\ [/tex]

Refer to the attached pictures for the proof & the figure.

_____

Hope it helps.

RainbowSalt2222

The total amount of time spent on practicing is 3 minutes

To obtain the total practice time, we multiply the time taken by its respective frequency as seen on the plot.

From the plot:

([tex](1 * 0) + (1 * 1/4) + (2 * 1/2) + (1 * 3/4) + (1 * 1)\\(0 + 1/4 + 1 + 3/4 + 1)\\= 3[/tex]

Hence, the total amount of time spent is 3 minutes as obtained from the dot plot given.

Learn more: https://brainly.com/question/16246931

Answer:

70.5

Step-by-step explanation:

Refer to attached image

Answer:

Step-by-step explanation:

Answer:

The length of the shortest side of the triangle is 10.

Step-by-step explanation:

Given that the lengths of the sides of a triangle are 4, 5 and 6, if the length of the longest side of a similar triangle is 15, to determine what is the length of the shortest side of the triangle, the following calculation must be performed :

6 = 15

4 = X

4 x 15/6 = X

10 = X

Therefore, the length of the shortest side of the triangle is 10.

Answer:

2440

Step-by-step explanation:

an=115

a=7

Sn=n/2(a+an) [Where n is no. of terms]

   = 40/2(7+115)

   = 20(122)

   = 2440

Answer:

C: 200

Step-by-step explanation:

Just multiply 12.5 x 8 x 2 to get the answer.

Answer:

C. 200 in.^3

Step-by-step explanation:

The volume is given by

V = l*w*h

V = 12 1/2 * 8*2

V = 25/2 *8*2

  = 25*8

  = 200 in ^3

Answer:

See explanation

Step-by-step explanation:

y = k * (3x - 5)

Where,

k = constant of proportionality

y = 33 when x = 5

y = k * (3x - 5)

33 = k * (3 * 5 - 5)

33 = k * (15 - 5)

33 = 15k - 5k

33 = 10k

k = 33/10

k = 3.3

a) y when x = 2

y = k * (3x - 5)

y = 3.3(3 * 2 - 5)

= 3.3(6 - 5)

= 3.3(1)

y = 3.3

b) x when y = 15​

y = k * (3x - 5)

15 = 3.3(3x - 5)

15 = 9.9x - 16.5

15 + 16.5 = 9.9x

31.5 = 9.9x

x = 31.5/9.9

x = 3.18

Answer:

Step-by-step explanation:

x+65 = 180                            Consecutive angles in llgm are supplementary

x = 180-65                             Subtract equal amounts from both sides.

x = 115

y + 65 = 90                           This hard to explain without letters. The lines are parallel. The right angle is an extension of the right vertical parallel line. So the left two angles are 90 degrees because of the perpendicular angles.

y = 90 - 65

y = 25

Answer:

[tex]14 \frac{5}{1000} [/tex]

Step-by-step explanation:

[tex]14.005 = 14 \frac{5}{1000} [/tex]

proper frac 14 1/200

improper frac 2801/200

Answer:

OB

Step-by-step explanation:

start counting from 1

Then your significant digit is 6

Answer:

216.5

Step-by-step explanation:

Pyramid volume=(area of the base)*(height)/3

Pyramid volume=(area of hexagon with side 5)*(height)/3

Area of hexagon is 3*sqrt(3)*(side)^2/2=75*sqrt(3)/2

Pyramid volume=10*(75*sqrt(3))/(2*3)=216.5

Answer:

the answer is 6

Step-by-step explanation:

3×2-0×2=6

Answer:

5 i √ 3

Step-by-step explanation:

Answer:

No symmetry

Step-by-step explanation:

The shape cannot be folded over any line to be equally matched up to the other side

Answer:

x = 50

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other two sides , then

x² = 48² + 14² = 2304 + 196 = 2500 ( take the square root of both sides )

x = [tex]\sqrt{2500}[/tex] = 50

Answer:

the answer will be 10.81

if.you round of to the nearest tenth then 10.8 feet will be the distance from slide to the monkey bar

Answer:

21.33: 32: 74.67

Step-by-step explanation:

2:3:7

The total is 2+3+7 = 12

Divide 128 by 12

128/12 = 32/3

Multiply each number by 32/2

2*32/3 : 3*32/3  :7*32/3

64/3 : 32 : 224/3

Rounding to the nearest cent

21.33: 32: 74.67

Answer:

[tex]2\pi \times r = c[/tex]

[tex]\pi \times {r}^{2} = a[/tex]

A=5257.76

Step-by-step explanation:

Or use a calculator online.

Answer: 75.4

Step-by-step explanation:

The equation for the circumference for a circle is diameter times pi. 24 times pi is 75.3982236862. Rounded to the nearest tenth would make it 75.4.

Answer:

Income $500, Fixed exp. $100, Living Expenses $300

Answer:

-17 < g [tex]\leq[/tex] 8

Step-by-step explanation:

'g' is within the range of numbers that are greater than -17 and less than or equal to 8. we know that it is less than or equal to because the circle is closed or filled in, at 8.

Answer:

Step-by-step explanation:

tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

8x + 4 = 3(x − 1) + 7

Simplify both sides of the equation:

8x + 4 = (3)(x)+ (3)(−1) + 7

8x + 4 = 3x + (−3) +7

Combine like terms:

8x + 4 = (3x) + (−3+7)

8x + 4 = 3x + 4

Subtract 3x from both sides:

8x + 4 − 3x = 3x + 4 − 3x

5x + 4 = 4

Subtract 4 from both sides:

5x + 4 − 4 = 4 − 4

5x =0

Divide both sides by 5:

5x/5 = 0/5

x = 0

Answer:

20 and 42

Step-by-step explanation:

Let the greater number be x and the smaller number be y.

3(x +y)= 186

x +y= 186 ÷3

x +y= 62 -----(1)

x -y= 22

x= y +22 -----(2)

Substitute (2) into (1):

y +22 +y= 62

2y= 62 -22 (-22 on both sides)

2y= 40

y= 40 ÷2

y= 20

Substitute y= 20 into (2):

x= 20 +22

x= 44

Thus, the two numbers are 20 and 42.

Answer:

3/4 + 0 = 3/4 Additive Neutral Property

Step-by-step explanation:

Answer:

she's I'll ccgmf

Step-by-step explanation:

for the next day and night and it was so yitd cash check out j vfkcnc gjjx xh