Given: C is the midpoint of BD.

Prove: ΔACB ≅ ΔACD

Triangle A B D is shown. A line is drawn down from point A to point C to form a right angle. Triangle A C B and A C D are formed by the line.
Complete the two-column proof.

♣:



♦:

Answer:

C. R and Q

Step-by-step explanation:

If you draw the line of best fit, it passes through the cluster of points along the graph. The two points that are included in the mass are R and Q. The other ones are outliers, and would not be represented on the line of best fit.

I hope this helps!

Answer:

R and Q

Step-by-step explanation:

e.dgenuity

Answer:

4.5

Step-by-step explanation:

7 1/5 = 7.2 and 1 3/5= 1.6

so, 7.2/1.6= 4.5

Answer:

a

Step-by-step explanation:

for x<2, the slope is negative and y-intercept is 3.5

for x>=2, slope is positive and y-intercept is 4

only a satisfies the condition

The value of x is 22. The angle the flagpole makes with the ground, represented as 3x+24∘, is supplementary to the angle the flagpole makes with the vertical line, which is 90 degrees. By setting up the equation 3x+24° + 90° =180°. and solving for x, we find =22. Thus, the flagpole makes a 3(22) + 24° + 90° =180° angle with the ground.

Certainly, let's break it down step by step:

Given: The angle the flagpole makes with the ground is [tex]\(3x + 24^\circ\).[/tex]

1. **Define the problem**: Let [tex]\( \theta \)[/tex] represent the angle the flagpole makes with the ground.

2. **Write the given information**:

[tex]\[ \theta = 3x + 24^\circ \][/tex]

3. **Understand the geometric situation**: The angle formed by the flagpole with the ground is supplementary to the angle formed by the flagpole with the vertical line

4. **Write the equation based on the supplementary angles relationship**:

[tex]\[ \theta + 90^\circ = 180^\circ \][/tex]

5. **Substitute the given value of [tex]\( \theta \)[/tex]**:

[tex]\[ (3x + 24^\circ) + 90^\circ = 180^\circ \][/tex]

6. **Simplify the equation**:

[tex]\[ 3x + 24^\circ + 90^\circ = 180^\circ \][/tex]

7. **Combine like terms**:

[tex]\[ 3x + 114^\circ = 180^\circ \][/tex]

8. **Isolate \(x\)**:

[tex]\[ 3x = 180^\circ - 114^\circ \][/tex]

[tex]\[ 3x = 66^\circ \][/tex]

[tex]\[ x = \frac{66^\circ}{3} \][/tex]

[tex]\[ x = 22 \][/tex]

[tex]So, \( x = 22 \).[/tex]

Answer:

A

Step-by-step explanation:

Equate the congruent sides of the side, that is

2x + 2 = x + 6 ( subtract x from both sides )

x + 2 = 6 ( subtract 2 from both sides )

x = 4

and

y - 5 = x + 5 = 4 + 5 = 9 ( add 5 to both sides )

y = 14

Thus

top pair = x + 5 = 4 + 5 = 9 and lower pair = x + 6 = 4 + 6 = 10

Simply find the volume of each figure using their corresponding formulas and compare them! :D

CYLINDER: πr2h

CONE: πr2h  ÷ 3

CYLINDER WORK:

Your radius is 2, which was a simple find! It wants it squared, so simply do 2x2 to get your squared radius of 4. Now that you know this, as well as your height, which is 3, let's plug it in!

π×4×3 (I would suggest putting this in your calculator)

=37.7

CONE WORK:

Your radius is 2 again, which was a simple find because its half your diameter, or 4! It wants it squared again, so simply do 2x2 to get your squared radius of 4. Now that you know this, as well as your height, which is 9, let's plug it in! The only difference is you have to divide your whole answer by three since it's different for a cone.

π×4× 9 ÷ 3 (I would suggest putting this in your calculator)

=37.7

Well, what a coincidence, they are the same! This proves that it does not depend on the height, it will only depend on the proportions of your shape, since the cylinder could have had a much larger scale of numbers, which would make it bigger not based on it's shape, but it's overall size.

Answer:

B. red, blue, green

Using the sample space concept, it is found that for this situation, it is given by:

B. {red, blue, green}

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A similar problem is given at https://brainly.com/question/15006554

Answer: smallest 5794

Step-by-step explanation:

Answer:

5794

Step-by-step explanation:

5794 is the answer because...

Answer:

(-4, 0) and (5/2, 0)

Step-by-step explanation:

f(x) = –2x2 – 3x + 20

factor  using the diamond method

-2*20 = -40

so  -8 * 5 = -40  and   -8 + 5 = -3  so...

f(x) = -2x^2 - 8x + 5x  + 20

f(x) = -2x (x + 4) + 5 *(x + 4)

f(x) = (-2x + 5)*(x + 4)

x-intercepts are   x = 5/2  and x =-4

(-4, 0) and (5/2, 0)

Answer:

(-4, 0) and (5/2, 0)

Step-by-step explanation:

Answer: A. 169.65 mi^3

Step-by-step explanation:

The volume of a cylinder is formula  is   v= π *r^2 *h  where  r is radius and h is the height being multiplied pie.

V= 3.14 * 3^2 * 6

v= 3.14 * 9 * 6

v =169.6460  to the nearest hundredth is 169.65

Answer:

95/pie

Step-by-step explanation:

2 × radius = diameter

2 × pie × radius = circumference

2 × pie × radius = 95cm

radius = 95/2 × pie

Diameter = [95/2 × pie] × 2

Diameter = 190/2 × pie

Diameter = 95/pie

(It wasn't stated in the question but if pie = 22/7, the diameter is 95 × 7/22 = 30.23 (approximately)

Answer:

65 square inches.

Step-by-step explanation:

To solve for this irregular figure, you must break it into separate rectangles.

Firstly, we can solve for the area of the top rectangle by:

6×4= 24 sq in.

For the next rectangle, we can do:

4×8= 32 sq in.

Finally, the remaining square can be solved by:

3×3= 9 sq in.

To get the ENTIRE area, you will need to add these areas up which gets you:

24+ 32+ 9= 65 sq in.

Answer: The correct answer is y = 1/3 x +1

Step-by-step explanation:

Answer:

30,240 minutes

Step-by-step explanation:

Hope this helps :)

30240 minutes for 504 hours

It will take 7 gallons of gas to drive from Central City to Smithville to Jonesburg in a car that gets 30 miles per gallon.

To calculate the total amount of gas needed to drive from Central City to Smithville to Jonesburg, we need to add up the distances for each leg of the trip and then divide by the car's mileage per gallon.

Central City to Smithville: 85 miles

Smithville to Jonesburg: 125 miles

Total distance: 85 + 125 = 210 miles

Given the car gets 30 miles per gallon, divide total distance by mileage per gallon:

Total gallons of gas needed = 210 miles ÷ 30 MPG = 7 gallons

Therefore, it will take 7 gallons of gas to drive from Central City to Smithville to Jonesburg in a car that gets 30 miles per gallon.

Answer:

sin A  = 40/41

tan A = 40/9

cos A = 9/41

Step-by-step explanation:

sin theta = opp/ hyp

tan theta = opp/ adj

cos theta = adj/ hyp

We want to find the measures for angle A

sin A  = 40/41

tan A = 40/9

cos A = 9/41

Answer:

SinA = opposite/hypotenuse

SinA = 40/41

SinA = 0.976

(0.9756097561)

TanA = opposite/adjacent

TanA = 40/9

TanA = 4.444

(4.44444444)

CosA = adjacent/hypotenuse

CosA = 9/41

CosA = 0.220

(0.2195121951)

Answer:

36

Step-by-step explanation:

appeex

Answer:

Length = 13

Width = 9

Step-by-step explanation:

The equation to find the perimeter is 2l+2w=44. The second equation is 2w-5=l since the length is 5 less than double the width.

2l+2w=44,2w-5=l (write equations)

use the equation for length, the second equation, and subtitute it into the first equation's l. Since all l is the same and 2w-5 is equal to l, we can use that equation for the l in 2l+2w=p

2(2w-5)+2w=44 (subtitute)

4w-10+2w=44

6w-10=44 (simplify)

6w=54 (add 10 to both sides)

w=9

use the width to find the length by plugging it into any original equation

2w-5=l

2(9)-5=l

18-5=l

13=l

Answer:

The length is 13.

The width is 9.

Step-by-step explanation:

length = x

width = w

1) x = 2w - 5

2) 44 = 2x + 2w

3) 44 = 2(2w - 5) + 2w

4) 44 = 4w - 10 + 2w

5) 44 = 6w - 10

6) 54 = 6w

7) w = 9

8) x = 2(9) - 5

9) x = 18 - 5

10) x = 13

Answer:

D. 2 x 2 x 2

Step-by-step explanation:

16 is: 2 x 2 x 2 x 2

40 is: 2 x 2 x 2 x 5

16 and 40 have in common are: 2 x 2 x 2  

Answer:

For this case since we want a parallel line to -2x+1 we need the same slope so then m = -2 and we have:

[tex] y =-2 x+b[/tex]

Now we can find the intercept b with the condition given x= 4 , y=1 and we got:

[tex] 1 = -2*4 +b[/tex]

And solving for b we got:

[tex] b = 1+8 = 9[/tex]

And our equation would be:

[tex] y = -2x +9[/tex]

Step-by-step explanation:

For this case we need to find an equation for a line who is parallel to y = -2x + 1 and  intersects the point (4,1)

The general equation for a line is given by:

[tex] y = mx +b[/tex]

For this case since we want a parallel line to -2x+1 we need the same slope so then m = -2 and we have:

[tex] y =-2 x+b[/tex]

Now we can find the intercept b with the condition given x= 4 , y=1 and we got:

[tex] 1 = -2*4 +b[/tex]

And solving for b we got:

[tex] b = 1+8 = 9[/tex]

And our equation would be:

[tex] y = -2x +9[/tex]

Answer:

6  7/12

Step-by-step explanation:

-7 2/3 +(5 1/2) + 8 3/4

Get a common denominator of 12

-7 2/3 * 4/4 +(5 1/2 +6/6) + 8 3/4*3/3

-7 8/12    + 5 6/12     + 8 9/12

Subtract the  first two terms first

They have opposite signs so subtract and take the sign of the larger

-7 8/12    + 5 6/12    = -2 2/12

-2  2/12 + 8 9/12

They have opposite signs so subtract and take the sign of the larger

-2  2/12 + 8 9/12 = 6 7/12

Multiply the amount he sold by the percent of commission:

4500 x 0.13 = 585

he made $585 last week.

There are 52 weeks in a year, multiply the amount of commission by 52:

585 x 52 = 30,420

he made $30,420 in 2011.

Alexander made $585 in commission last week. In 2011, he made $30,420 in commission.

To calculate Alexander's commission, we can multiply the value of the stocks he sold by the commission rate.

$4,500  imes 0.13 = $585

Therefore, Alexander made $585 in commission last week.

To calculate how much he made in commission in 2011, we need to know the number of weeks in 2011. Assuming there are 52 weeks in a year, we can multiply Alexander's weekly commission by the number of weeks in 2011:

$585  imes 52 = $30,420

Answer:

44.4%

Step-by-step explanation:

To calculate this, we proceed as follows.

we use the probability equation below;

P(A|B) = P(A and B) / P(B)

Applying the above to the scenario at hand;

P(red | car) = P(red and car) / P(car)

P(red and car) = 40% or simply 40/100 = 0.4

P(car) = 90% = 90/100 = 0.9

P(red | car) = 0.4/0.9

P(red | car) = 0.4444 which is = 44.44% ; to the nearest tenth of a percent = 44.4%

To find the probability of a randomly chosen car being red, you divide the percentage of red cars by the percentage of all cars. The calculation results in 44.4%, which is the probability that a car is red.

To find the probability that a car chosen at random is red, we use the information provided: 90% of all vehicles are cars, and 40% of all vehicles are red cars. To determine the probability of a randomly selected car being red, we must calculate the percentage of red cars within the group of all cars.

This is done by dividing the percentage of red cars by the percentage of all cars, which gives us the probability that a car, given it's a car, is red.

The calculation is (40% / 90%) × 100, which simplifies to 44.4%. Rounded to the nearest tenth of a percent, the probability is 44.4%.

Answer:

The smallest number is 23

Step-by-step explanation:

Let x be the first number

x+1 is the next consecutive number

x+2 is the next consecutive number

The sum is

x+ x+1 + x+2 = 72

Combine like terms

3x+3 = 72

subtract 3 from each side

3x+3-3 = 72-3

3x = 69

Divide each side by 3

3x/3 = 69/3

x = 23

x+1 = 24

x+2 =25

The numbers are

23,24,25

Answer:

x=-7     x=4

Step-by-step explanation:

(x −2)(x + 5) = 18

Foil

x^2 +5x-2x-10 = 18

Combine like terms

x^2 +3x -10 =18

Subtract 18 from each side

x^2 +3x -28 = 0

Factor

What two numbers multiply to -28 and add to 3:   7 and -4

(x+7) (x-4) =0

Using the zero product property

x+7=0    x-4 =0

x=-7     x=4

Answer:

x intercepts: x=-1 and x=-11

y intercepts: y = 11

Step-by-step explanation:

x+1=0

x=-1

x+11=0

x=-11

f(0)=11

Answer:

x intercept is -1,0 and -11,0 and y intercept is 0,11

Step-by-step explanation:

Answer:

Step-by-step explanation:

The triangular end of the tent has a base of 3 ft and a height of 2 ft. Its area can be found using the formula for the area of a triangle:

  A = (1/2)bh

  A = (1/2)(3 ft)(2 ft) = 3 ft^2

__

The rectangular side of the tent has a length of 4 ft and a width of 2.5 ft. Its area can be found using the formula for the area of a rectangle:

  A = lw

  A = (4 ft)(2.5 ft) = 10 ft^2

___

If we assume the tentmaker makes the two sides not shown exactly the same as these, then the total above-ground material will be ...

  2(3 ft^2 +10 ft^2) = 26 ft^2

If there is on-ground material (a floor), that rectangle adds (3 ft)(4 ft) = 12 ft^2 to the total.

The area of the tent above-ground is 26 square feet. With a floor, it is 38 square feet.

The cost of each ticket is $4.

Here we know that the family buys 6 tickets, and they also pay $3 for a parking fee.

The total amount that they spend is $27.

If we remove what the paid for the parking fee, we only will have the cost of the 6 tickets, then we have:

$27 - $3 = $24

Now, we divide this by the number of tickets bought:

$24/6 = $4

Each ticket costs $4.

If you want to learn more about quotients, you can read:

https://brainly.com/question/7068223