Lines AD and BC are parallel. Find the measures
of the three angles in triangle ADE.
A
D
1500
45°
B
F

Answer:

52 units^2

Step-by-step explanation:

The area of the dresser is simple. It is just a rectangle that is 4 units by 3 units.

A_dresser = LW = 4(3) = 12 units^2

The area of the bed is a little more complicated, but you can get by using just areas of rectangles.

See the picture below.

Notice that the entire bed fits within a square (shown in blue) that is 9 units by 9 units.

The area of the square is 81 units^2.

We need to subtract the areas of the 4 triangles at the corners.

There are two triangles, top left and bottom right (shown in green), that have a base of 5 and a height of 5. They combine to for a square that is 5 units by 5 units. The area of this square is 25 units^2.

There are two triangles, top right and bottom left (shown in red), that have a base of 4 and a height of 4. They combine to for a square that is 4 units by 4 units. The area of this square is 16 units^2.

Now subtract 25 and 16 from 81 to get the area of the bed.

81 - 25 - 16 = 40

A_bed = 40 units^2

Combined area of bed and dresser:

A = 40 units^2 + 12 units^2 = 52 units^2

Answer: 52 units^2

Here's another way of finding the area of the bed:

Count the number of full squares inside the bed (there are 31). Each full square is 1 unit^2. Then count the number of half-squares inside the bed (there are 18). Each half-square is 1/2 units^2. Add them all up:

31 + 1/2 * 18 = 31 + 9 = 40

You get 40 units^2

Answer:

The answer is 0.04a² - 0.04ab - 0.15b²

Step-by-step explanation:

(0.2a - 0.5b) ( 0.2a + 0.3b)

0.04a² + 0.06ab - 0.1ba - 0.15b²

0.04a² + 0.06ab - 0.1ab - 0.15b²

0.04a² - 0.04ab - 0.15b²

Thus, The answer is

0.04a² - 0.04ab - 0.15b²

-TheUnknownScientist 72

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The Correct choice is C

Keegan is correct, Annie didn't line up the decimals correctly.

Answer:

-110

Step-by-step explanation:

Answer:

-110

Step-by-step explanation:

Answer:

$23.20

Step-by-step explanation:

1 hour of work = $2.90

8 x 2.90 = 23.20

8 hours of work will get an employee $23.20

If they worked 8 hours daily in a week:

7 x 23.20 = 162.40

Working 8 hours every day in a week will get them $162.4

Answer:

The Third number is 19

Step-by-step explanation:

7 + 2 = 11 then add 19=

11 + 19 = 30 After divide by three because there are 3 numbers

30.6 ÷ 3 = 10

Remember: To find the mean you add all the numbers together and divide by how many numbers are there.

For example: you have 2, 5, 8 you add them together which is 15. There are 3 numbers so you divide 15 by 3 which is 5.

Answer:

[tex] \frac{15}{13} = 1 \frac{2}{13} [/tex]

Step-by-step explanation:

[tex]2 \frac{1}{2} \div 2 \frac{1}{6} \\ \\ \\ \frac{5}{2} \div \frac{13}{6} \\ \\ \\ \frac{5}{2} \times \frac{6}{13} \\ \\ \\ \frac{5}{1} \times \frac{3}{13} \\ \\ \\ = \frac{15}{13} \\ \\ \\ = 1\frac{2}{13} [/tex]

I hope I helped you^_^

Answer:

[tex]2 \frac{1}{2} /2 \frac{1}{6} = \frac{5}{2} / \frac{13}{6} [/tex]

[tex] = \frac{5}{2} \times \frac{6}{13 } = \frac{5 \times 6}{2 \times 13} [/tex]

[tex] = \frac{5 \times 3}{1 \times 13} [/tex]

[tex] = \frac{15}{13} [/tex]

[tex] = 1 \frac{2}{13} [/tex]

Step-by-step explanation:

Thank you!!!!!!!!!!!

Answer: D; B

Step-by-step explanation: 1 and 4 are alternate exterior angles if you use process of elimination, all the other pairs are, alternate exterior, corresponding or same side interior angles. angles 1 and 4 are in between lines a and b when lines a and b have the transversal of c. with process of elimination, c is the only logical answer, as 1 and 4 both lie on that line. which leaves you with two answers. if you draw out lines a and b with a transversal of c and the lines b and e with the transversal of c, then B is the only logical answer. goodluck :) i just finished this unit :D

Answer:

Riley restoration rotators

Answer: first a it’s left side is shorter while on the other polygoes there left sides longer for the first two

in the third one it goes size wise

Step-by-step explanation:

hope it helps

Answer:

A unit rate means a rate for one of something

they are and can be used as speed limits or signs for someone to do something. like go and stop

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

1. (-4)(-2) equals 14 beacuse when you muiltpy two negatives yiui get a postive.

2. 14(7) equals 98

Step-by-step explanation:

x=½y+5. ......i

2x+3y=-14. .....ii

putting the value of x in equation ii.

2(½y+5)+3y=-14

y+10+3y=-14

4y=-24

y=-6

Now, putting the value of y in first equation.

x=½y+5

x=(½×-6)+5

x=-3+5

x=2.

therefore, the value of x=2 and y=-6.

So, option D is correct answer.

hope this helps you.

Answer:

-5(-2)=10

Step-by-step explanation:

Let be x

[tex] - 5 \times - 2 = x \\ take \: minus \: to \: rhs \: from \: lhs \\ 5 \times ( - 2) = - x \\ - 10 = - x \\ cancel \: minus \: on \: both \: sides \\ 10 = x[/tex]

Answer:

Surveying To approximate the length of a marsh, a surveyor walks 250 meters from point  to point  , then turns  and walks 220 meters to point  (see figure). Approximate the length  of the marsh.

hope it helped

Step-by-step explanation:

The approximate length of the lake is 625 yards.

Given that, a surveyor starts at one end of the lake and walks 245 yards.

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

He then turns 110 and walks 270 yards until he arrives at the other end of the lake.

Total length of the lake is

245+110+270 =625 yards

Therefore, the approximate length of the lake is 625 yards.

Learn more about the total here:

https://brainly.com/question/15842940.

#SPJ2

Answer:

True

Step-by-step explanation:

Answer:

x=[tex]-\frac{13}{15}[/tex]

or 15x=-13

Step-by-step explanation:

20x+17=35x+30

20x-35x=30-17

-15x=13

x=[tex]-\frac{13}{15}[/tex]

Answer:

A

Step-by-step explanation:

Hope it helps!

Answer:

B

Step-by-step explanation:

corresponding sides of similar triangles are same ratio

[tex]\dfrac{JK}{UT}=\dfrac{KL}{TS}\\\\\dfrac{x}{20}=\dfrac{8}{16}\\\\x=\dfrac{8}{16}*20\\\\x=10[/tex]

Answer:

A.54

Step-by-step explanation:

because 162 divided by 3 equal 54.3

Answer:

A linear function has a constant rate of change. A nonlinear function does not

Also, Lnear functions show a straight line when they are graphed and nonlinear functions don't.

My advice is to graph it and look at the points.

Good luck! Pls give brainliest!

Answer:

See Picture & I hope this helps!:)

Step-by-step explanation:

Answer:Music in a major key can be transposed to any other major key; music in a minor key can be transposed to any other minor key. (Changing a piece from minor to major or vice-versa requires many more changes than simple transposition.) A piece will also sound higher or lower once it is transposed.

Step-by-step explanation:

  Angle Q = 31°  

  Angle R = 118°

   Angle S = 31°

Answer:

∠A = 100

∠B = 50

∠C = 30

Step-by-step explanation:

Sum of all angles of triangle = 180

∠A + ∠B + ∠C = 180

2x +x + x - 20 = 180  {Combine like terms}

4x - 20 = 180      

Add 20 to both sides

4x = 180 + 20

4x = 200

Divide  both sides by 4

x = 200/4

x = 50

∠A = 2x = 2*50 = 100

∠B = x = 50

∠C = x - 20 = 50 - 20 = 30

Answer:

The answer I think, might be or possibly is A 20 aq ft. Bcuz, if you use the 1:4 scale, you'll get like for an example, 20:80..So, 5:? must be 5:20..get what I mean??? it's kinda tuff for me to explain since English is not my first language but thereee you go XD

Answer:

Step-by-step explanation:

The km/minute is different for segment, so "The train does not always go . . ."

Tha average speed in km/minute of the 3 points is 3.2km/min. 10 minutes would be 32km.

===

Divide the cost by the number of people. It is $7/person in each case. The cost for each person appears to be the same. If Sam knew more math, he could charge each person $10 and end the evening $3/person richer. He would need at least 3 people to cover his own expense, and have $2 left for a tip to the attentive waitress who approved his strategy for profiting from his math skills.

Answer:

0.000067

or

6.7*10^-5

Step-by-step explanation:

brainliest plz

Answer:

75

225÷3=75

Step-by-step explanation:

hshshshshs

Answer:

75

Step-by-step explanation: