Prove segment BD = segment CA

Answer:

Step-by-step explanation:

From the following, which is NOT an equivalent expression to Area of sector is 2πrθ/360. Option A is correct.

The area of the circular sector is the space occupied by it. The area of the circular sector is the half of the product of the angle of the sector and the radius of the circle. It can be given as,

[tex]A_s=\dfrac{r^2\theta}{2}[/tex]

Here, (r) is the radius of the circle and θ is the angle of the sector. Multiply with π/180 to convert it into the degrees.

[tex]A_s=\dfrac{r^2\theta}{2}\left(\dfrac{\pi}{180}\right)\\A_s={\pi r^2}\left(\dfrac{\theta}{360}\right)[/tex]

Thus, the option D is correct. Now, πr² is the area of circle . Thus,

[tex]\rm \text{Area of sector}=\dfrac{(Area\; of \;Circle)(Arc\; Measure)}{360^o}\\\rm \dfrac{(Area\; of \;Sector)}{(Arc\; Measure)}=\dfrac{\text{Area of sector}}{360^o}[/tex]

From the following, which is NOT an equivalent expression to Area of sector is 2πrθ/360. Option A is correct.

Learn more about the area of a circular sector here;

https://brainly.com/question/10585749

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Answer: (x+1)(3x+2) , i only got the answer for the first question, sorry!

Step-by-step explanation:

- factorise using AC method

AC= 3 x 2 = 6

find 2 numbers that add to give 5 and multiply to give 6 (3 and 2)

- put them as x in the equation to replace 5x

3x^2 + 2x + 3x + 2

- split the equation in half and expand each side

3x^2+2x | 3x+2

x(3x+2)+1(3x+2)

- put the numbers outside the brackets into a separate bracket

= (x+1)(3x+2)

Answer:

13571 total

13600 to nearest hundred

Step-by-step explanation:

7+3 = 10 = distribution total

9500 / 7 =  1357.14286 one part

1357.14286 x 3 = 4071.42858  = 4071 males

1357.14286 x 10 = 13571.42 is the same as

9500 + 4071 = 13571 total

= 13600 to nearest hundred

Answer:

y= 0.75x+1

Step-by-step explanation:

This is because there is already 1 in of water in the pool and the water level is increasing at a constant rate of 0.75 in per minute.

Hope this helps! :)

Answer: this person is right its y=0.75x+1

Step-by-step explanation: took test

Answer:

= − 2/3

Step-by-step explanation:

Distribute

3x(2x - 3)-6x² =6

6x² -9x-6x² =6

Combine like terms

6x² -9x-6x²=6

-9x=6

Divide both sides of the equation by the same term

-9x=6

-9x/-9=6/-9

Simplify

x=-2/3

Solution

x=-2/3

Answer:

Step-by-step explanation:

3 x (2x - 3) -6x² = 6

6 x^-9x-6x^=6

Combine like terms

6x^-9x-6x^=6

-9x=6

Divide both sides of the equation by the same term

− 9 = 6

-9x = 6

-9     -9

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=  −2

      3

HOPE IT IS HELPFUL

MARK ME AS BRAINLIEST

Answer: x is equal to 4

Step-by-step explanation:

A triangle's angles sums up to 180°. So we already know that the three angles in this triangle add up to 180°. The equation would be as following.

(18x - 12) + 15x + (10x + 20) = 180

We first add like terms together.

43x + 8 = 180

We then substract 8 on both sides.

43x = 172

We finally divide 43 on both sides.

x = 4

Answer:

1 remainder 24

Step-by-step explanation:

Answer:

x = 16 or [tex]\frac{-8 + x}{4} = 2[/tex]

Step-by-step explanation:

let's start from the beginning and move along!

[tex]\frac{-8 + x}{4}[/tex] = 2

to solve this...

1) multiply both sides by four to get rid of the fraction

[tex](4)\frac{-8 + x}{4} = 2(4)[/tex] ------> -8 + x = 8

2) add 8 to both sides to isolate x ----> x = 16

Answer: S

Step-by-step explanation: flip the triangle and you'll see the answer.

Solution :

Let the measure of the supplementary angles be 11x and 25x

According to the question :

[tex] \tt \: 11x + 25x = 180 {}^{ \circ} \\ \\ \\ \tt \dashrightarrow \: 36x = 180 {}^{ \circ} \\ \\ \\ \tt \dashrightarrow x = \frac{180{}^{ \circ} }{36} \\ \\ \\ \: \: \: \: \: \: \: \dashrightarrow \: { \underline{ \boxed{ \mathfrak{ \pmb{ \purple{x = 5}}}}}} \: \: \pink{\bigstar} \\ \\ [/tex]

So the required angles are :

Answer:

6104 people.

Step-by-step explanation:

1.25 means it will multiply by 1 and a fourth

2500*1.25 =3125 the first month

3125*1.25=3906.25 the second.

3906.25*1.25=4882.8125 the third

4882.8125*1.25=6103.515625

round that up and you have 6104 people.

Answer:

Step-by-step explanation:

Given:

Population is:

Correct choice is A

A cyclist rides 5.0km due east, then 10.0km20° west of north. From this point she rides 8.0km .

Answer:

18h - 3hk

Step-by-step explanation:

2h(6 - k)

= 2h(6) + 2h(-k)

= 12h + -2hk

= 12h - 2hk

Hope this helps!

Answer:

[tex]a^{2} -1[/tex]

Step-by-step explanation:

The LCD, or the lowest common denominator would be [tex]a^2-1[/tex]

If we multiply the second term [tex]\frac{1}{a+1}[/tex] by [tex]\frac{a-1}{a-1}[/tex] ([tex]\frac{a-1}{a-1}[/tex] is equivalent to 1, so we can do this,) we can see that the denominator would become the same as the first term [tex]\frac{1}{a^2-1}[/tex] by difference of squares. So that creates an LCD of [tex]a^2-1[/tex]

Answer:

see the person above

Step-by-step explanation:

Answer:

x/20=15/12,so x =25

Step-by-step explanation:

Answer:

y = -5/7(x) - 3/7

Step-by-step explanation:

1. We're already given the value of m in y = mx + b: -5/7. So, our equation looks like this so far: y = -5/7(x) + b.

2. To solve for b, the y-intercept, we use this formula: [tex]b = y_1 - m * x_1[/tex]

3. Now that we know the values of m and b, the equation looks like this: [tex]y = -\frac{5}{7}x -\frac{3}{7}[/tex].

Therefore, the answer is [tex]y = -\frac{5}{7}x -\frac{3}{7}[/tex].

Answer:

68.50 in

Step-by-step explanation:

first we are given the width and the length for the rectangle and so we know that 4 × 5x + 7 = 128

so we would now solve for x:

4 × 5x + 7 = 128

= 4 × 5x = 121

= 20x = 121

= x = 6.05

now we can plug in 6.05 for x and find the perimeter:

5(6.05) + 4 = 34.25

5(6.05) + 4 = 34.25

34.25 + 34.25 = 68.50

Solution :

Tan 25° =  C4/BC

=> 0.466 = CF/60

=> C4 = 27.96

A4² = AC²  + C4²

AC² = 60² + 40² = 5200

CF² = 781.76

4F² =  5200 +  781.76

=> AF² =5981.76

=> A4 = 77.3

length A4  = 77.3  cm

$474

..................

Answer:

X=16°

Y=121°‌

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Answer:

-5/6

Step-by-step explanation:

yeah ya..... right?

Answer:

a = -2b + 3c

Step-by-step explanation:

Step 1: Subtract 2b from both sides.

Therefore, the answer is a = -2b + 3c.

Answer:

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

Brainliest pls?