Mathematics College

in the figure below, C is between A and D, and B is the midpoint of AC. If BD=8 and BC=6, find AD.

Answers

Answer 1

Answer:

AD = 14

Step-by-step explanation:

BC = 6

BD = 8

CD = BD - BC

CD = 8 - 6

CD = 2

Since B is the midpoint of AC, therefore:

AC = 2*BC

AC = 2*6

AC = 12

Thus:

AD = AC + CD

AD = 12 + 2

AD = 14

Related Questions

Enter the correct value so that each expression is a perfect-square trinomial.
x^2 + __ x + 36

Answers

Answer:

12.

Step-by-step explanation:

Answer:

Step-by-step explanation:

i did it and got it right on ed.

How do you show that an inequality is true on a number line?

Answers

Does it have the open and closed dot?

A person can pay $14 for a membership to the science museum and then go to the museum for just $1 per visit. What is the maximum number of visits a member of the science museum can make for a total cost of $46?

Answers

Answer:

Step-by-step explanation:

First, subtract the membership free from the total cost:

46 - 14

= 32

To find how many visits they can make, divide this by 1:

32/1

= 32

So, the maximum number of visits a member can make is 32.

Answer:

Step-by-step explanation:

What is 40 percent of 50?
1. 20
2. 30
3. 40
4. 10

Answers

Answer:

1) 20

Step-by-step explanation:

40% percent of this number is only a small amount.

Step-by-step explanation:

40 percent of this number is a small amount

PLEASE HELP!!
WILL GIVE BRAINLIEST TO CORRECT ANSWER (STEPS INCLUDED..)

The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).

Triangle ABC has coordinates A(1, 4); B(3, -2); and C(4, 2). Find the coordinates of the image A'B'C' after a reflection over the x axis.

Answers

When translated over the x axis, the x values remain the same and the y values become the opposite sign ( a negative becomes a positive and a positive becomes a negative)

A( 1,4) becomes A’(1,-4)

B(3,-2) becomes B’(3,2)

C(4,2) becomes C’(4,-2)

Area =
44 ft?
(x - 12) ft
(x - 5) ft
length:
width:
ft

Answers

Answer:

x= 16 ft

length = 4 ft

width = 11 ft

Step-by-step explanation:

The area is length* width

so the length is ( x - 12 )

and the width is ( x - 5 )

the area is 44ft

so now set up an equation and solve for x

( x - 12 ) ( x - 5 ) = 44

distribute

x^(2) - 17x + 60 = 44

inverse operations

x^(2) - 17x + 60 = 44

- 60 - 60

x^(2) - 17x = -16

factor

x^(2) - 17x = -16

x ( x - 17 ) = -16

now it is pretty clear that the answer is:

x = 16

just substitute it into the equation and check

( x - 12 ) ( x - 5 ) = 44

( 16 - 12 ) ( 16 - 5 ) = 44

( 4 ) ( 11 ) = 44

44 = 44

this also shows that

the length is 4

because:

( x - 12 )

= ( 16 - 12 )

= 4

and the width is 11

because:

( x - 5 )

= ( 16 - 5 )

= 11

Juan’s cell phone company charges $35 a month for phone service with limited data for every gigabyte of data overage the company charges $15 write an equation that represents how many gigabytes one goes over in a month if his bill was $110

Answers

Answer:15x+35=110

Step-by-step explanation:

Translate the sentence into an equation. The sum of 2 times a number and 5 is 8.

Answers

Answer:8=2xn+5

Step-by-step explanation:X is times

n is variable

HELP ASAP!!WILL GIVE GOOD RATINGS

Answers

Adding a line through the middle will leave you with a triangle on top and a rectangle on the bottom. Hope this helps!

An automatic teller machine gives you $150 in five and ten-dollar bills. There are two more than twice as many five-dollar bills as there are ten-dollar bills. How many of each denomination are there?

Answers

Answer:

There are 7 ten-dollar bills and 16 five-dollar bills.

Step-by-step explanation:

Let's call:

T: Number of ten-dollar bills

F: Number of five-dollar bills

The amount of money withdrawn from the ATM is $150:

10T+5F=150

Dividing by 5:

[tex]2T+F=30\qquad\qquad [1][/tex]

We also know there are two more than twice as many five-dollar bills as there are ten-dollar bills:

[tex]F=2+2T\qquad\qquad [2][/tex]

Substituting [2] into [1]:

2T+2T+2=30

Rearranging:

2T+2T=30-2

Simplifying:

4T=28

Solving:

T=28/4=7

From [2]:

F=2+2*7=2+14=16

There are 7 ten-dollar bills and 16 five-dollar bills.

A falcon flew 70 miles in 3 hours. What was the speed of the falcon?

speed = distance over time

1 mile = 1609 meters.

Answers

Answer:

10.4 meters per second

How would you graph y = -4/9x + 6

Answers

9514 1404 393

Answer:

graph the y-interceptfind another point (down 4, right 9)draw the line through the 2 points

Step-by-step explanation:

When the equation of a line is given in slope-intercept form, as this one is, it is usually convenient to make use of those values (intercept and slope).

Here, the y-intercept is 6. The slope is -4/9, which means the line goes down 4 units for each 9 units to the right.

The y-intercept is graphed at (0, 6). An additional point can be graphed at (9, 2). Then the line can be drawn through these points.

The stock price of a company was $35. The stock price fell to $28. Which is the closest to the percent decease in this stock price?

Answers

Subtract the new value from original value to find the difference:

35 - 28 = 7

Divide the difference by the original amount and multiply by 100:

7/35 = 0.2 x 100 = 20%

The decrease was 20%

Answer:

20%

Step-by-step explanation:

First, subtract the new value from the original value to find the difference between the two.

35 - 28 = 7

Next, divide the difference by the original amount.

7 / 35 = 0.2

Then, multiply by 100.

.2 x 100 = 20%

We now know that the decrease was 20%

HELP ME PLEASE
In the diagram below, which distance represents the distance from point to
KE?

A JL
В. КМ
C. JM
D. JK

Answers

C. JM because that line is the height of the triangle

twice a number k plus the quantity s minus 2

Answers

2k + s - 2

I don't understand the question

Answer:

2k+s-2

Step-by-step explanation:

twice means 2 and k is just a number but as a letter. plus the quantity s is just s as a number, then minus 2 is

=2k+s-2

The Distance between the school and the park 6km there 1.6km in 1 mile how many miles are between the school and the park

Answers

Answer : 3.75 miles

Answer:

3.75

Step-by-step explanation:

6 km = 1.6 km

1 km = x

6 / by 1.6 = 3.75

HOPE ITS HELPFUL!

please i need some help due in some mins

Answers

the answer is a 0.1 hope this helped

Find The Difference.
1)5-15=
2)-13-7=
3)-19-7=
4)36-(-12)=
5)-29-(-11)=
6)-7-(-5)

Answers

Answer:

-10

-20

-26

-2

Step-by-step explanation:

I used a calculator to make sure

5(3 - x) < -2x + 6 please solve for me <3

Answers

what grade are you learning this in

Answer:

Step-by-step explanation:

−5x+15<−2x+6

Step 2: Add 2x to both sides.

−5x+15+2x<−2x+6+2x

−3x+15<6

Step 3: Subtract 15 from both sides.

−3x+15−15<6−15

−3x<−9

Step 4: Divide both sides by -3.

−3x

−3

−9

−3

can you guys help me??

Answers

Answer:

37 used beeds

Step-by-step explanation:

May i get brainiest

Divide the number 90 into three parts in the ratio 1:4:5.

Answers

Answer:

9, 36, and 45

Step-by-step explanation:

The order is 9, 36, and 45 because as we have to divide 90 into 1:4:5, 1+4+5=10 total parts. Then 90 divided by 10 equals to 9. The first number has 1 part, so 9x1=9 for the first number. For 4 parts, 9x4=36 for the second number. For 5 parts, 9x5=45 for the third number. The order is 9, 36, and 45. Hope it helps!

When we divide 90 in 1:4:5 ratio so it comes 9,36, and 45.

Given that,

The number is 90. We have to divide the above number in 1:4:5 ratio.

Based on the above information, the calculation is as follows:

x + 4x + 5x = 90

10x = 90

x = 9

Now multiply each ratio with 9 to get each value.

So, the values should be 9,36, and 45.

Therefore we can conclude that when we divide 90 in 1:4:5 ratio so it comes 9,36, and 45.

Learn more: brainly.com/question/21416852

Help Please! :(

108 students went on a field trip. Three buses were filled and 27 students traveled in cars. How many students were in each bus?
Please include algebraic equation and answer.

Answers

Answer:

Step-by-step explanation:

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
Оооо
20
24

Answers

Answer:

Step-by-step explanation:

Me puede de resolver tengo q presentar eso mañana

Answers

Answer:

180/3=60

60/3=20

20/3=6.667(redondeado)

6.667/3= 2.222(redondeado)

2.222/3=0.741(redondeado)

0.741/3=0.247

Select the THREE solutions that are equivalent to the expression 4(n + 1):

a. 4n + 1

b. n + n + n +n +1 +1 +1 +1

c. 2n + 2n + 4

d. 2n + n + n +1

e. 4n + 4

f. 4 (n + 4)

Answers

Answer:

The answer would be b, c, e

Answer:

b,c,e

Step-by-step explanation:

4(n+1)

4n+4

n+n+n+n=4n

1+1+1+1=4

4n+4

2n+2n=4n

4n+4

the decimal equivalent 3/5 is a repeating decimal true or false?

Answers

Answer: false

Step-by-step explanation:

3/5 in a decimal is 0.6. overall 0.6 is not an repeating decimal.

True, the decimal equivalent of 3/5 is a repeating decimal.

We have,

The concept used to determine whether the decimal equivalent of 3/5 is a repeating decimal is the division of the numerator (3) by the denominator (5) to obtain the decimal representation.

When we divide 3 by 5, we get a decimal value of 0.6. However, since the division does not terminate or end, and the digit 6 repeats indefinitely, we conclude that it is a repeating decimal.

This concept involves understanding the nature of the decimal representation and recognizing repeating patterns.

Thus,

True, the decimal equivalent of 3/5 is a repeating decimal.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Are the 2 triangles congruent?

Answers

Answer:

ya they r

Step-by-step explanation:

Yes they are hope this helps :)

HELP PLEASE WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

15 is your answer Hope this helped

(a) If A is the area of a circle with radius r and the circle expands as time passes, find dA dt in terms of dr dt . dA dt

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dr/dt. dA dt = dr dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 25 m?

Area of the circle A = πr²

dA/dr = 2πr where r is the radius of the circle

dA/dt = dA/dr * dr/dt

dr/dt is the rate of increase in radius of the oil spill.

Given

dr/dt = 1m/s

radius r = 25m

Substitute into the formula above;

dA/dt = dA/dr * dr/dt

dA/dt = 2πr * 1

dA/dt = 2π(25) * 1

dA/dt = 50πm²/s

dA/dt = 157.1m²/s

Hence the area of the spill is increasing at the rate of 157.1m²/s

You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

Answers

Answer:

110d + 80 > 1620

d > 14

Step-by-step explanation:

The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d

Add 80 to this to represent the bonus points.

Use a greater than inequality, because you have to get more than 1620 points.

Put this all together:

110d + 80 > 1620

Then, solve for d:

110d + 80 > 1620

110d > 1540

d > 14

So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.

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