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In the given triangle, the measure of angle C is 32°

From the question, we are to determine the value of angle C.

Let half of ∠IAB = a

and half of ∠IBA = b

Then,

a + b + 106° = 180° (Sum of angles in a triangle)

a + b = 74°

Also,

2a + 2b + ∠C = 180° (Sum of angles in a triangle)

2(a + b) + ∠C = 180°

2(74°) + ∠C = 180°

148° + ∠C = 180°

Subtract 148° from both sides

148° - 148° + ∠C = 180° - 148°

∠C = 32°

Hence, the measure of C is 32°

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The solution is, choice B) [tex]y=5x[/tex] represent a proportional relationship.

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y\div x = k[/tex]  or [tex]y = kx[/tex]

here, we have,

we know that,

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

so, we get,

choice A) [tex]y=30x[/tex]

Is a linear equation that passes through the origin

therefore,

The case A) represent a proportional relationship

choice B) [tex]y=5x[/tex]

Is a linear equation that passes through the origin

therefore

The case B) represent a proportional relationship

choice C) [tex]y =6x[/tex]

Is a linear equation but not passes through the origin

therefore

The case C) does not represent a proportional relationship

choice D) [tex]y = \dfrac{1}{5}x[/tex]

Is a linear equation but not passes through the origin

therefore

The choice D) does not represent a proportional relationship

Hence, The solution is, choice B) [tex]y=5x[/tex] represent a proportional relationship.

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Answer:

a) If the radius of a circle is increased 2 times, the length of the circle (circumference) will increase by a factor of 2π or approximately 6.28 times. This is because the formula for the circumference of a circle is C = 2πr, where r is the radius. If the radius is doubled, then the circumference will also be doubled.

b) If the radius of a circle is decreased 3 times, the length of the circle (circumference) will decrease by a factor of 6π or approximately 18.85 times. This is because the formula for the circumference of a circle is C = 2πr, where r is the radius. If the radius is divided by 3, then the circumference will also be divided by 3 and multiplied by 2π.

c) If the diameter of a circle is increased 6 times, the length of the circle (circumference) will increase by a factor of 6π or approximately 18.85 times. This is because the formula for the circumference of a circle is C = πd, where d is the diameter. If the diameter is multiplied by 6, then the circumference will also be multiplied by 6π

Step-by-step explanation:

pls Mark me As a brainlist

a) length of the circle increased by 2 times.

b) length of the circle decreased by 3 times.

c) length of the circle increased by 6 times.

Length of a circle that is the circumference of the circle is given by the formula = 2πr ( let's say C)

a) Given that the radius of the circle is increased by two times.

R = 2r

Required length of the circle = 2πR = 2π(2r) = 2×2πr = 2C

Hence, the length of the circle will be increased by 2 times.

b) Given that the radius is decreased by 3 times.

R= r/3

Required length of the circle =  2πR = 2π(r/3) = (2πr)/3 = C/3

Hence, the length of circle will be decreased by 3 times.

c) Given that the diameter of the circle is increased by 6 times.

D = 6d = 6×2r = 12r

Required length of the circle = πD= π×12r = 6(2πr) = 6C

Hence, the required length of circle will be increased by 6 times.

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Answer:  3

Step-by-step explanation:

The cost that will maximize the demand, considering the quadratic function, is given as follows:

$3.

The quadratic function representing the demand is given as follows:

y = -10x² + 60x + 180.

The vertex of a quadratic function is the point on the graph where the function reaches its maximum or minimum value. For a quadratic function in standard form y = ax² + bx + c, the x-coordinate of the vertex is given by:

x = -b / (2a)

The coefficients of the quadratic function in this problem are given as follows:

a = -10, b = 60.

The x-coordinate is the price that maximizes the demand, hence it is obtained as follows:

x = -60/(2 x (-20))

x = 3.

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Answer:

Over

Step-by-step explanation:

Answer:

D i think.

Step-by-step explanation:

Answer:

C    [tex]\frac{1}{3} x[/tex]

Step-by-step explanation:

6/3 = 2

12/3 = 4

18/3 = 6

24/3 = 8

Then:

The equqtion that represents the relationship between x and y is:

y = x/3

y = (1/3) x

[tex]y = \frac{1}{3} x[/tex]

Answer:

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

imagine that one variable is -3, and the other is -2. what will equal -5. -3+2 does not, so it isnt A, -2-3 does. so it is B. 3-2 doesnt, so it isnt C, -3+-2 does, so it is also D. 2+3 doesnt, so it isnt E.

Answer:

Step-by-step explanation:

bhhbhbhbhbhbhbhb

Answer:

As in the picture

Step-by-step explanation:

Have some close look on subtraction inside the small bracket!

Answer:

81.25 cm^2

Step-by-step explanation:

perimeter = 2(l + w)

2(12.5 + w) = 38

12.5 + w = 38/2

w = 19 - 12.5

w = 6.5

Area = lw = 12.5 x 6.5 = 81.25

Answer:

81.25 cm²

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

To solve for the perimeter of a rectangle, the expression is:

(Let p = perimeter, l = length, w = width)

To solve for the width of a rectangle when given the perimeter, we can use this expression:

Inserting 38 in for 'p' and 12.5 for 'l':

To check our work, we can use the expression to solve for the perimeter:

Because the perimeter matches up with 38, we know the width of the rectangle is 6.5cm.

To solve for the area of a rectangle, we use this expression:

(Let a = area)

Inserting 12.5 in for 'l' and 6.5 in for 'w':

Therefore, the area of the rectangle is 81.25 cm².

Answer:

the absolute value of -$25 is [25]

Step-by-step explanation:

no matter if the number is negative or positive the absolute value will be what the number is or how many numbers away from 0 it is

Example: absolute value of 30 is [30] and absolute value of -50 is [50]

Answer:

A=Owen brought no more than 15 apples.

B=Owen brought more than 10 bananas

C=Owen brought fewer than 5 cantaloupes

Step-by-step explanation:

A<15 This means that A is Less or equal to 15

     =

b>10 means b is bigger than 10

c<5 means c is smaller than 5

that's the answer to the question

Answer

Step-by-step explanation:

Answer:

yo tampoco uebeizbsibdi id uke iveibs id. dije I did one o. so d lvaon

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Translate the bars

3x - 4 = 6 - 2x

Add 4 to both sides

3x = 10 - 2x

Add 2x to both sides

5x = 10

Divide both sides by 5

X = 2

Answer: 65

Step-by-step explanation:

Answer: 65

Explanation:

Mean is all the number added together, divided by the amount of numbers in the sequence.

64+65 63+ 66+60+65+66+68+69+66+63=715

715÷11=65

∩ Ф ³ Ф ∩ ⇒ answer s in image i attached .

in other word s . . .

1 ⇒  ∫ length = 9 ft .

2 ⇒  ∫ length = 15 ft .

3 ⇒  ∫ width = 5 ft .

4 ⇒  ∫ width = 0.1 ft .

Answer:

The total cost of the laptop with sales tax included is to the nearest cents is 747.24 dollars.

Step-by-step explanation:

Answer:

x = 18 !

Step-by-step explanation:

We can see that ∠CHD is equal to ∠GHF as they are vertically opposite angles. We can also see that the angles next to ∠CHD should all add up to 90° as it is a right angle!

This means that we have to add 32 and 32 then minus that from 90...

As the angle is the same we are now left with...

We just have to solve this by taking away 8 from both sides!

Hope this helps, have a lovely day! :)

Answer:

The answer is 18°, but please read the explanation so you can solve this problem in the future.

Step-by-step explanation:

To find the angle of x, we have to look at the angles in the first quadrant (in which the lines C and D are) first. To begin, a right angle is 90°. We see that there are two angles of 32° within the right angle (90°). Let's find the sum of 32 and 32.

32 + 32 = 64

Now, we can subtract 64° from 90° to find the angle of CD.

90 - 64 = 26

The angle between C and D is 26°.

If we look below at lines G and F, we can see that they are directly across from lines C and D, so they have the same angles. The arrow pointing to the angle of GF, which we know is 26°, says that x + 8° = 26°. To find x, let's subtract 8 from 26.

26 - 8 = 18

x = 18°

Answer:

79%

Step-by-step explanation:

The total percentage of boys and girls are 100%

If there are 21% girls, the percentage of boys are 100 - 21 = 79

Answer:

79%

Step-by-step explanation:

let the total percentage be 100

100 - 21 = 79

u spe lled on wong but da bottom line wrong tho

Answer:70

Step-by-step explanation: To find range subtract the largest number (142) from the smallest number (72)

142-72=70

Answer:

The answer will be positive

Step-by-step explanation:

Answer:

number 1 is 6.42

Step-by-step explanation:

I just used a calculator

Page 1:

Find the product.

1) Exact form- 45/7, Mixed Numbers form- 6/3/7

2) Exact form- 15/2, Mixed Numbers form- 7/1/2

3) Exact form- 33/13, Mixed Numbers form- 2/7/13

4) Exact form- 4

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

Find the Quotient.

1) Exact form- 3

2) Exact form- 3/19

3) Exact form- 18/35

4) Exact form- 40/9, Mixed Numbers form- 4/4/9

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

Page 2:

Find the Product.

1) Exact form- 3

2) Exact form- 15/14, Mixed Numbers form- 1/1/14

3) Exact form- 2/3

4) Exact form- 19/55

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

Find the Product.

1) Exact form- 3/5

2) Exact form- 27/16, Mixed Numbers form- 1/11/16

3) Exact form- 22/7, Mixed Numbers form- 3/1/7

4) Exact form- 1/14

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer:

Step-by-step explanation:

1. 5.46 + 7.19 = 12.68

2. 6.21 - 1.37 = 5.84

3. 25.9 - 6.09 = 19.81

hope this helps

Answer:

There are 32 marbles in the bag, and 1/4 of them are blue, so there are 32 * 1/4 = 8 blue marbles in the bag.

When Ed draws 4 marbles out of the bag with replacement, the probability of getting a blue marble on any given draw is 1/4.

The number of blue marbles Ed is expected to draw can be found by multiplying the probability of drawing a blue marble on each draw (1/4) by the number of draws (4):

Expected number of blue marbles = (1/4) * 4 = 1

Therefore, Ed is expected to draw 1 blue marble out of the 4 marbles drawn.

1) 1

Reasoning:

There are 4 different colors of marbles and 32 total marbles. 32/4 is 8, so there will be 8 of each at the start.

Because Ed picks 4 marbles, and there are 4 colors, we will divide 4 by 4 (4/4) and get 1.

Answer:

488 centimeters2

Step-by-step explanation:

Surface Area = 2×(14×6 + 14×8 + 6×8) = 488 centimeters2