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RUDIKE [14]
3 years ago
9

What is m (There is no multiple choice just find m

Mathematics
1 answer:
Sauron [17]3 years ago
4 0

Answer:

160 degrees.

Step-by-step explanation:

Line ABC is a straight line, and the angle on a straight line is always 180 degrees.

Since ABD + DBC = ABC, we know that x+8x=180

9x=180

Divide both sides by 9:

x=180\div 9=20

DBC is 8x=8\times 20=160 degrees.

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How should 48 eggs be divided so that the ratio is 4:3:5
dolphi86 [110]
Do 4+3+5 which = 12 
then do 48 divided by 12 which is 4 
Now 4 x 4 = 16 
3 x 4 = 12
5 x 4 = 20
16 + 12 + 20 = 48 so its divided as 16:12:20
5 0
3 years ago
8. The speed of the current in a river is 6 mph. A ferry operator who works that part of the river is looking to buy a new boat
Natali [406]
Answer: the speed of the boat on the lake is 9 mph
Step-by-step explanation:
Let x represent the speed of the boat on the lake or in still water.
The speed of the current in a river is 6 mph. This means that if the boat goes upstream against the speed of the current, its total speed would be (x - 6)mph. If the boat goes downstream against the speed of the current, its total speed would be (x + 6)mph.
Time = distance/ speed
Every day, his route takes him 22.5 miles each way against the current and back to his dock, and he needs to make this trip in a total of 9 hours. This means that the time taken to travel upstream is
22.5/(x - 6). The time taken to travel downstream is
22.5/(x + 6)
Since the total time is 9 hours, it means that
22.5/(x - 6) = 22.5/(x + 6)
Cross multiplying, it becomes
22.5(x + 6) + 22.5(x - 6) = 9
Multiplying through by (x + 6)(x - 6), it becomes
22.5(x - 6) + 22.5(x + 6) = 9[(x + 6)(x - 6)]
22.5x - 135 + 22.5x + 135 = 9(x² - 6x + 6x - 36)
22.5x + 22.5x = 9x² - 324
9x² - 45x - 324 = 0
Dividing through by 9, it becomes
x² - 5x - 36 = 0
x² + 4x - 9x - 36 = 0
x(x + 4) - 9(x + 4) = 0
x - 9 = 0 or x + 4 = 0
x = 9 or x = - 4
Since the speed cannot be negative, then x = 9
3 0
2 years ago
Read 2 more answers
What is the answer to (-27)-(24)/(-3)-19?
klasskru [66]
The answer would be -38
5 0
3 years ago
Charlie's garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m,
MAXImum [283]

Answer:

The percentage change is 140%

Step-by-step explanation:

Given

L= 3W_1 ---- initial dimension

W_2 = 6m --- new width

A_2 = 45m^2 --- new dimension

Required

The percentage increment

The length remains constant because only the width is extended.

The new area is:

Area =Length * Width

A_2=L * W_2

Make L the subject

L = \frac{A_2}{ W_2}

Substitute values for A and W

L = \frac{45m^2}{6m}

L = \frac{45m}{6}

L = 7.5m --- this is the length of the garden

Calculate the initial width:

L= 3W_1

Make W1 the subject

W_1 = \frac{1}{3} * L

W_1 = \frac{1}{3} * 7.5

W_1 = 2.5

So, the initial area is:

A_1 = L_1 * W_1

A_1 = 2.5 * 7.5

A_1 = 18.75

The percentage change in area is:

\%A = \frac{A_2 - A_1}{A_1}

\%A = \frac{45 - 18.75}{18.75}

\%A = \frac{26.25}{18.75}

\%A = 1.4

Express as percentage

\%A = 1.4*100\%

\%A = 140\%

4 0
3 years ago
2 4/7 divided by 1 3/6 =
Rudiy27

Answer:

Step-by-step explanation:

2,57 divided by 1.5 equals

1.713

7 0
1 year ago
Read 2 more answers
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