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umka21 [38]
3 years ago
12

Find the m Answer is in degrees

Mathematics
1 answer:
Sonja [21]3 years ago
3 0

These angles are known as corresponding angles and when added up, they must be equal. So, let's set them equal to that, so we can solve for x, and then angle ABC:

2x+46=3x-2

46=x-2

x=48

Find ABC:

2(48)+46 = 142

As per to my calculations, ∠ABC = 142°.

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How many pounds of iron are produced from 4,200 pounds of iron ore if the ratio of iron ore is 5/21
Ghella [55]
1,000. 4,200 / 21 = 200. 5 * 200 = 1,000
4 0
3 years ago
Cable has 24 pennies he has hafe as many nickels as pennies he has 5 more dimes than nickels he has 6 fewer quarters than dimes
Andreyy89
Pennies (P) = 24
Nickels = 1/2P
Dimes = 1/2P + 5
Quarters = (1/2P + 5) -6

Therefore...

Nickels = 1/2P = 1/2(24)= 12
Dimes = 12 + 5 = 17
Quarters = 17 - 6 = 11
6 0
3 years ago
From a height of 50 meters above sea level on a cliff, two ships are sighted due west. The angles of depression are 61° and 28°.
Olenka [21]

Answer:

The ships are 66 meters apart.

Step-by-step explanation:

For the sake of convenience, let us label ships A and B

As shown in the figure, the distances to the ships from right triangles.

The distance to the ship A is d_1 and it is given by

tan (61^o)= \dfrac{50}{d_1}

d_1=\dfrac{50}{tan (61^o)}

\boxed{d_1= 27.71m}

And the distance to the ship B is d_2 and is given by

tan (28^o)= \dfrac{50}{d_2}

d_2=\dfrac{50}{tan (28^o)}

\boxed{ d_2=94.04m}

Therefore, the distance d between the ships A and B is

d= d_2-d_1=94.04-27.7\\\\\boxed{d=66m}

In other words, the ships are 66 meters apart.

8 0
3 years ago
Read 2 more answers
B. Mason put sticky notes on some pages of his math book. The page numbers form this sequence: 3, 5, 8, 13, 21, 34, ... Describe
laiz [17]

Answer:

It goes up one number counting each time

Step-by-step explanation:

3 4 5  2 one cap

5 8 13   two cap

3 0
3 years ago
What is HL?<br><br> HL =<br><br> (in the attachment)
Anuta_ua [19.1K]

Answer:

try 21

Step-by-step explanation:

if not im as stuck as you are :(

7 0
3 years ago
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