Which angle is congruent to angle E?


A. ∡A
B. ∡B
C. ∡C
D. ∡D

9514 1404 393

Answer:

  28 square units

Step-by-step explanation:

The figure can be decomposed several ways. Maybe easiest to see is as a 8×4 rectangle with a 2×4 right triangle cut from the corner.

The area of the rectangle is ...

  A = LW = (8)(4) = 32

The area of the missing triangle is ...

  A = 1/2bh = 1/2(2)(4) = 4

Then the area of the shaded figure is ...

  32 - 4 = 28 . . . square units

_____

Alternate solution

If you divide the figure with a horizontal line across the middle, it becomes a 4×4 square and a trapezoid with bases 2 and 4 and height 4. The shaded area is the sum of these areas.

The area of a trapezoid is ...

  A = 1/2(b1 +b2)h

  A = (1/2)(2 +4)(4) = 12

The area of the square is ...

  A = s² = 4² = 16

Then the total area is ...

  12 +16 = 28 . . . square units

Answer:

A rectangular Prism

52 square units

Step-by-step explanation:

3*4= 12*2= 24

2*4= 8*2= 16

2*3=6*2= 12

24+12+16= 52

Answer: The probability of drawing a heart out of the deck is 13/52, or 1/4. The probability of drawing an even number as card #2 (c∈{2,4,6,8,10}) for any suit is 20/51, except when the first card drawn is an even heart, then the probability of the second draw is 19/51.

Step-by-step explanation:

Answer:

8: 73.2 cm

10: 738 mm

Step-by-step explanation:

8: A= 12.2 (4.5 + 7.5) / 2 --> 146.2 / 2 = 73.2 cm

10: A= 36 (22 + 19) / 2 --> 1,476 / 2 = 738 mm

Answer:

8: 73.2

10: 738

Step-by-step explanation:

Area of a trapezoid = [tex]A=\frac{a+b}{2} h[/tex]

where a and b = base lengths and h = height

For #8

These are the given dimensions

Base 1 = 4.5

Base 2 = 7.5

Height = 12.2

All we have to do is plug in the values into the formula

So....

[tex]A=\frac{4.5+7.5}{2} 12.2\\4.5+7.5=12\\\frac{12}{2} =6\\6*12.2=73.2[/tex]

Hence the answer is 73.2cm²

For #10

Once again all we have to do is plug in the values into the formula

[tex]A=\frac{22+19}{2} 36\\22+19=41\\\frac{41}{2} =20.5\\20.5*36=738[/tex]

Hence the answer is 738

Irrational (I think)

Answer:

irrational

Step-by-step explanation:

-2π is an irrational number because π can't be written down as a non-infinite decimal, you need an approximate value.

hope this helps!

Answer:

1. Four thousand five hundred ten

2. 51.65 rounded to the nearest whole number is 52.

3. 2622 divided by 3 = 874

4. [tex]6940 / 10^{2}[/tex] = 69.4

5. 3/4 x 5 = 3.75 or [tex]3\frac{3}{4}[/tex]

6. (2 x 7) - (2 x 5) = 4

7. The area is [tex]\frac{6}{7}[/tex]

8. 70 - (20-13) would probably work

Please give my brainliest if I helped!

Answer:

5.2x9.3x2.5=120.9

hope this helps have a great day :3 also can i get brainliest ty

Answer:

2.5

Explanation:

5.2×9.3×2.5=120.9

I got the answer by multiplyinh 5.2×9.3=48.36 then i divided 120.9 by 48.36 to get the answer which is 2.5

Answer:

8.88

Step-by-step explanation:

I believe it is 8.88 becuase this question is asking to find 90% pf that number.  

What do you need to do?

you have to make a proportion.

8/x 90/ 100

You would now cross multiply. 90* x = 90x 8*100= 800

the equation you would need is 90x = 800. divide them and you get 8.88.

ROUNDED: you get 9.

I believe this is correct sorry if it was incorrect.

Answer:

55%

Step-by-step explanation:

Answer:

x = 19°, <SOR = 17°

Step-by-step explanation:

(5x + 4) + (x - 2) + (3x + 7) = 180°

Combine like terms:

9x + 9 = 180°

9x = 171

x = 19

<SOR = (19 - 2) = 17°

Answer: $62.25

Step-by-step explanation:

The mark-up is $477.25 - 415 = $62.25

10*10 =100

100/2 =50

50 possible codes

Answer:

Yes it is right

Step-by-step explanation:

Answer:

A, C, and D

Step-by-step explanation:

Answer:

for 12 you can make 48 cups for 30 you can make 120 cups \

for the second question you need 10 ounces for 40 and

Step-by-step explanation:

Answer:

C. {(1,H), (2,H), (3,H), (4,H), (1,T), (2,T), (3,T), (4,T)}

Answer:

Step-by-step explanation:

Answer:

36.8/2.8 = 16

Expression 1 = 368/28

Expression 2 = 3.68/.28

Step-by-step explanation:

If you move the decimal the same on both numbers of a division problem the answer stays the same.

Answer:

1. 32÷2, 64÷4

2. 16

Step-by-step explanation:

Expression 1:

32÷2=16, and 64÷4=16.

Expression 2:

Change the divisor 2.3 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

368 ÷ 23 = 16

and therefore:

36.8 ÷ 2.3 = 16

Both calculated to 0 decimal places.

Answer:

A. 44 inches

Step-by-step explanation:

1] Add the numbers given 6 + 6 + 11 + 11 = 34 (because you are trying to find the perimeter)

2] Subtract 6 from 11,  11 - 6 = 5

3] do the same to the top 11 - 6 = 5

4] then add the new numbers together along with the given ones. 6 + 6 + 11 + 11 + 5 + 5 = 44

Answer: A

Step-by-step explanation:

Answer:

Answer: 20%

To find the percentage of a fraction just do the top number divided by the bottom you get 0.2 and 0.2 is equal to 20% so 20% is the answer hope that helps!

Answer:

1/5 = 20%

Step-by-step explanation:

1/5 = 1 ÷ 5 obviously

So figure out 1 ÷ 5

Your answer would be 0.2

Now, when converting a number to a percent you would multiply it by 100

0.2 × 100 is

20%

I hope I helped! :)

Answer:

I think the answer is A

Step-by-step explanation:

Answer:

m = 4.7

Step-by-step explanation:

To isolate the variable m, we can add 2.2 to both sides:

m - 2.2 = 2.5

+ 2.2      +2.2

m = 4.7

[tex]\huge\pink{Answer}[/tex]

4.7 is the correct answer

m -2.2= 2.5

m = 2.5+2.2

m = 4.7

Answer:

10 months.

Step-by-step explanation:

1200 + 25x = 1450; x = 10