The previous owner of Ahmed's new sail boat recalled that the area of sail B was 108 square feet. What is the length of the base of sail B? Use the image below.

Answer:

The missing reason for the 3rd step in the proof below is;

C. Vertical angles are congruent

Step-by-step explanation:

In the two column proof, we have;

Statement   [tex]{}[/tex]            Reason

1. AB ║ CD   [tex]{}[/tex]           1. Given

2. ∠3 ≅ ∠7   [tex]{}[/tex]           2. Corresponding angles theorem

3. ∠7 ≅ ∠6   [tex]{}[/tex]           3. Vertical angles are congruent

4. m∠3 = m∠7   [tex]{}[/tex]      4. Definition of congruence    

m∠7 = m∠6

5. m∠3 = m∠6    [tex]{}[/tex]      5. Substitution

6. m∠3 ≅ m∠6    [tex]{}[/tex]     6. Definition of congruence

Vertical angles are the angles formed on the opposite sides of two straight lines when they cross each other

Other vertical angles in the diagram are;

1) ∠5 and ∠8

2) ∠1 and ∠4

3) ∠2 and ∠3

Answer: [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]

Step-by-step explanation:

I'll do the fraction on the left, then the one on the right. Follow the screenshots below to help you out.

1. Use distributive property. The first of the images is me distributing all the values on the fraction on the left. Now I will do the ones on the left.

2. I used the same method. Now I will multiply the two.

3. [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]

Answer:

D infintely many

Step-by-step explanation:

These equations have the same slope and same y-intercept making them the same exact line/equation

Answer:

1.Equivalent

2.Equaivalent

3.Not Equivalent

4.Equivalent

Answer:

∠6=∠2 ( corresponding angles)

∠1+∠2= 180°(Linear Pair)

∠1= 180- 75= 105°

Step-by-step explanation:

Answer:

- 2b^2 + 34ab + 5a - 1

Step-by-step explanation:

here's your solution

=> (b^2 + 9ab + 5a) - (3b^2 - 25ab + 1)

=> b^2 + 9ab + 5a - 3b^2 + 25ab - 1

=> - 2b^2 + 34ab + 5a - 1

hope it helps

Answer:

Step-by-step explanation:

Arc length=∅/360×2πr (can't find the symbol of theta, use ∅ instead LOL)

[tex]\frac{\theta }{360}\cdot 2\pi \left(11\right)=16[/tex]

[tex]\frac{\theta }{360}=\frac{16}{22\pi }[/tex]

[tex]\theta \:=\frac{16}{22\pi \:}\cdot 360[/tex]

[tex]{\theta}=83.34[/tex]

Answer:

≈ 1.5 radians

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

Here arc = 16 , then

2πr × [tex]\frac{0}{2\pi }[/tex] = 16 ← cancel the 2π on numerator/denominator

11 ×θ = 16 ( divide both sides by 11 )

θ ≈ 1.5 radians ( to the nearest tenth )

Answer:

12+16

24+20

36+81

49+84

99+36

Answer:

at least 125 points on the final

Step-by-step explanation:

90% of 650 = 585

He needs at  least 585 points to get at least 90%

Since he averaged 92 on the first 5 tests, he already has 5(92) = 460 pts

That means he needs to get at least 585 - 460 = 125 pts on the final exam

Answer: 36th customer.

Step-by-step explanation: 36 is divisible by both 9 and 12, and is the least common multiple.

Step-by-step explanation:

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

(2x² - 6x + x - 3)(x+1)

(2x² - 5x - 3) (x+1)

2x³ -5x² -3x + 2x² -5x - 3

2x³ - 3x² - 8x -3

Answer:

the answer is a tell me if this helps!!

Answer:

all the answers are there in safari can  just check it

Step-by-step explanation

Answer:

263 / 280

Step-by-step explanation:

Given that :

Number of tickets bought = required outcome = 17

Total number of raffle = total possible outcomes = 280

Probability = required outcome / Total possible outcomes

P(winning) = 17 / 280

P(not winning) = 1 - 17/ 280

= 263 / 280

Answer:

519

Step-by-step explanation:

or 519.125

The maximum amount of profit the company can make, to the nearest dollar should be considered as the $519.

Since the amount of profit made expressed as [tex]y=-2x^2+105x-859[/tex]

Now

At maximum profit, dy/dx = 0

So,

dy/dx = -4x + 105

0 = -4x + 105

4x = 105

x = 105/4

x = 26.25

Now

[tex]y=-2x^2+105x-859\\\\y=-2(26.25)^2+105(26.25)-859[/tex]

y = - 1,378.125+2,756.25-859

y = 519.125

Hence the maximum amount of profit the company can make is $519.

Learn more about profit here: https://brainly.com/question/24599492

Answer:

If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

Step-by-step explanation:

We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

Answer:

1/2

25/5

12/25

1/5

Hope it helps!

Answer:

ok sure

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-7 + 4 = -3

-3

Have a beautiful day!

Hey.... can anybody help me with a question? If you can change one thing in your community with design, what would it be and how will it work towards racial justice?

Answer:

B

Step-by-step explanation:

The image that the line will produce would be:

b). is parallel to the original line.

Given that,

Coordinates = [tex](1,1) and (5,7)[/tex]

Scale factor [tex]= 3[/tex]

As we know,

Slope [tex]= \frac{y_{2} - y_{1} }{{x_{2} - x_{1}} }[/tex]

where;

[tex]y_{2} = 7[/tex]

[tex]y_{1} = 1[/tex]

[tex]x_{2} = 5[/tex]

[tex]x_{1} = 1[/tex]

By putting these values,

Slope [tex]= (7 - 1)/(5-1)[/tex]

[tex]= 6/4[/tex]

[tex]=[/tex] [tex]1.5[/tex]

∵The image of the line would be ║ to the original line.

Thus, option b is the correct answer.

Learn more about "Coordinate" here:

https://brainly.com/question/16634867

Answer:

tell me the decimals number form

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

Dont need to explain it quik mafs

Answer:

Agreed, the answer is 36

Step-by-step explanation:

Subtract 180-90=90-54=

36

There's your answer.

Answer:

20

Step-by-step explanation:

Answer:

26,800 pounds of gravel

Step-by-step explanation:

13.4 tons is equal to 26,800 pounds

Answer:

1

Step-by-step explanation:

g(1) = -2(1) + 3

g(1) = -2 + 3

g(1) = 1