Given: ΔABC ~ ΔAED and AD=7.5. What is the length of DC?

Answer:

Slope is [tex]\frac{-2}{3}[/tex], which is answer A.

Step-by-step explanation:

Let's start with two points.  We have (6, -3) and (0, 1).  The slope is m.

[tex]m=\frac{-3-1}{6-0}=\frac{-4}{6}=\frac{-2}{3}[/tex]

Answer:

-2.547

Step-by-step explanation:

Answer:

1/26

Step-by-step explanation:

Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there's only a single 3 on each die), and the number of outcomes is 6.

Answer:

Step-by-step explanation:

Given :

Jamal works as an electrician's apprentice. He rewired 4 electrical outlets in 1 and one-halfhours.

To Find :

If he works at the same pace for 7.5 hours, how many outlets will he rewire.

Solution :

Let, rate of wire rewired in one hour is r.

So, [tex]r=\dfrac{4}{1.5}\ = \dfrac{8}{3}\ rewire/hour[/tex].

Now, number of outlets rewired in 7.5 hours are :

[tex]N=7.5\times\dfrac{8}{3}\\\\N = 20[/tex]

Therefore, he will rewire 20 outlets in 7.5 hours.

Hence, this is the required solution.

Answer:

20 outlets

Step-by-step explanation:

Number of outlets rewired in 1.5 hours = 4

Jamal keeps on working at the same pace 7.5 hours.

To find:

Number of outlets rewired = ?

Solution:

The answer can be found by using the unitary method.

First of all, we need to find number of outlets rewired in 1 hour.

And then, we can multiply with 7.5 to find out the answer.

Number of outlets rewired in 1.5 hours = 4

Number of outlets rewired in 1 hour = [tex]\dfrac{4}{1.5} = \dfrac{40}{15} = \dfrac{8}{3}[/tex]

Number of outlets rewired in 7.5 hours = [tex]\dfrac{8}{3}\times 7.5 = \bold{20}[/tex]

So, 20 outlets can be rewired in 7.5 hours.

Answer:

3 batches of meatloaf requires 6 pounds of beef and 3 cups of bread crumbs.

Step-by-step explanation:

For pounds of beef

1 batch meatloaf = 2 pounds of beef

3 batches of meatloaf = x

Cross Multiply

x = 3 × 2 pounds of beef

x = 6 pounds of beef

3 batches of meatloaf requires 6 pounds of beef

For bread crumbs

1 batch meatloaf = 1 cup of bread crumbs

3 batches of meatloaf = x

Cross Multiply

x = 3 × 1 cup of bread crumbs

x = 3 cups of bread crumbs

3 batches of meatloaf requires 3 cups of bread crumbs.

Therefore, 3 batches of meatloaf requires 6 pounds of beef and 3 cups of bread crumbs.

Answer:

B: $2.00

Step-by-step explanation:

He starts out with 100 dollars, here are his expenses:

2 Belts: $28

3 Shirts: $45

Jeans: $25

Once we subtract all our expenses, we're left with $2.00.

Answer:

x = 5

Step-by-step explanation:

use the formula x = -b/2a and plug in the values.

Answer:

The glass can hold 8. (I think)

Step-by-step explanation:

Answer:

$558,799.2

Step-by-step explanation:

Given that:

Cost of house = $330 000

Down payment = 18% of cost

Down payment amount = 0.18 * 330,000 = $59,400

Monthly payment = $1387.22

Period of payment = 30 years

Monthly payment after 30 years:

$1387.22 * (30 * 12) = $499,399.2

Hence, amount actually paid :

$59,400 + $499,399.2

= $558,799.2

Answer:

the percent is almost 42.9

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The variable is the x

All the other choices don't have the variable

Answer:

Maybe A

Step-by-step explanation:

I got 829.42 and A is the closest to that

Answer:

thanks .

Step-by-step explanation:

Answer:

oni chan

Step-by-step explanation:

Answer:

Step-by-step explanation:780

Answer:

A preposition

Step-by-step explanation:

Answer:

The table that correctly represents the given relationship is the one marked as c

Step-by-step explanation:

Table of Values of a Relationship

We are given a relationship between c and d as follows:

[tex]d=c+20.8[/tex]

One of the tables corresponds to the equation above. It's just a matter of testing for the given values of c.

For c=4:

[tex]d=4+20.8 = 24.8[/tex]

For c=6:

[tex]d=6+20.8 = 26.8[/tex]

For c=8:

[tex]d=8+20.8 = 28.8[/tex]

For c=10:

[tex]d=10+20.8 = 30.8[/tex]

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

It's clear that the table that correctly represents the given relationship is the one marked as c

Answer:

4 5/6 = n

Step-by-step explanation:

5 1/2 = n+ 2/3

Subtract 2/3 from each side

5 1/2 - 2/3 = n+ 2/3 -2/3

5 1/2 - 2/3 = n

Get a common denominator of 6

5 1/2 * 3/3 = 5 3/6

2/3 = 2/3 * 2/2 = 4/6

5 3/6 - 4/6 = n

We need to borrow 1 from the 5 in the form of 6/6

5 3/6 = 4 6/6+ 3/6 = 4 9/6

4 9/6 - 4/6 =n

4 5/6 = n

Answer:

Step-by-step explana8tion:

80$ with that 6%

Answer:

-14

Step-by-step explanation:

2- (7+5 - (-4))      ---- add 7 and 5

2 - (12 - (-4))       ----- subtract -4 from 12

2 - 16

= -14

We will use PEMDAS to solve this equation.

2-[7+5-(-4)]

2-[12-(-4)]

2-[16] You can remove the brackets at this point, if you want.

-14

Answer: -14

Answer:

gx=x4+2x3−−3x2

Step-by-step explanation:

x4+2x3+3x2

g=x3+2x2+3x

Answer:

The previous number of students are 350.

Step-by-step explanation:

Let the number of students be 100x.

[tex]\frac{100+30}{100}[/tex]x = 455

Simplify.

[tex]\frac{130}{100}[/tex]x = 455

Find x.

[tex]\frac{100}{100}[/tex]x = [tex]\frac{100}{130}[/tex] × 455

Simplify.

x = 350

Answer:

what was the first one.....the first song part

Step-by-step explanation:

Answer:

Lil NasX

Step-by-step explanation:

Answer:

3

Step-by-step explanation:Just take the place after the decimal off

Answer: 3.10

Step-by-step explanation: Hope That Helps

Answer:

a) 7 days

b) 52 pictures

Step-by-step explanation:

a) If p=pictures and she took 37 pictures, then plug in 37 into p, in the equation the solve.

If you have trouble solving the first step is to subtract 2 from both sides (both sides to cancel out the original 2, and so that 5d can be by itself).

37 = 5d + 2

-2           -2

35 = 5d

The final step is to divide 5 on each side to get d (the number of days by itself). Then you get the answer, d=7, which means that the number of days Lola spent on vacation if she took 37 pictures, would be 7 days.

35 = 5d

5       5

7=d or d=7

b) If d=days and she spent 10 days on vacation, then plug in 10 into d, in the equation then solve.

If you have trouble solving the first step is to multiply 5 by 10. Which will make you end up with 50 + 2

p = 5(10) + 2

p = 50 + 2

Then the final step is the add 50 and 2 together. This will get you the answer p=52, which means that the number of pictures Lola took for the 10 days she was on vacation would be 52 pictures.

Hope this helps!

Answer:

90

Step-by-step explanation:

We know that 10 times 4 is 40 so 40 times 9 is 360. So, we just need to add a zero to that 9 to get 90.

I hope this helped ;)

Answer:

The number positioned at point D is -5.25.

Step-by-step explanation:

Since each section has 4 parts, each part is worth 0.25. Since D is 1 point to the left of -5, it must be -5.25.

Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

As angle CAB is a linear pair and is 109 degrees. We need to simply subtract it by 180. So 180-109=71. So angle CAE is 71 degrees.

Answer:

Step-by-step explanation:

Let the age of of Mrs brook be x

Age of her son be y

If Mrs.Brooks lacks 7 years from being five times as old as her son, this means;

x = 5y - 7 ..... 1

six years from now;

Mrs brooks age = x + 6

sons age = y + 6

If Six years from now she will lack 3 years from being three times as old as her son, this means;

x+ 6 = 3(y+6) - 3

x+6 = 3y + 18 - 3

x+6 = 3y + 15 .... 2

substitute 1 into 2;

(5y - 7)+6 = 3y + 15

5y - 1 = 3y + 15

5y-3y = 15 + 1

2y = 16

y = 8

substitute y = 8 into equation 1;

x = 5y - 7

x = 5(8)-7

x = 40-7

x = 33

Hence the mrs brook is 33 years old

her son is 8 years old

Answer:

167.55 in

Step-by-step explanation:

use the formula : V= [tex]\pi r^{2} \frac{h}{3}[/tex]