Figure ZANY is a square. If ZY = 7x - 3 and ZA = 6x, what is the value of x

A family drove 180 miles to disneyland. If they left at 10:30

luda_lava [24]

Average speed = Distance/ time

Distance = 180 mi

Time = time(final) - time(initial)

To find time will be easier if we translate am and pm into 24 h scale.

am will stay the same, so 10:30 am is 10:30. (initial)

pm will be turned (am time + 12), 3: 00 pm = 3:00 +12 =15:00 (final)

Time = time(final) - time(initial)= 15:00 - 10:30 = 14:60 - 10:30 =4h 30 min

4h + 30 min = 4h + 1/2 h= 4.5 h (time)

Average speed = Distance/ time = 180 mi / 4.5 h = 40 mi/h

Answer is 40 mi/h.

3 0

3 years ago

N = 12 P = 6 , Find the value of 4N - 3P ÷ p

Oxana [17]

Answer:

The value of this expression is 45

6 0

2 years ago

Analyze the diagram below and answer the question that follows

laiz [17]

Answer:

C. 40.2°

Step-by-step explanation:

Cosine rule (real handy to remember): c² = a² + b² - 2·a·b·cos(γ)

If you don't know this yet, look it up but in short: c, a and b are the lengths of the sides of the triangle, the angle opposite side a is called α, for b it is β and for c it is γ. That's the convention I've always used anyway, you can call them whatever of course. Anyhow:

c² = a² + b² - 2·a·b·cos(γ)

⇒ |AC|² = |AB|²+|BC|²-2·|AB|·|BC|·cos(∠B)

⇒ |AC|²-|AB|²-|BC|² = -2·|AB|·|BC|·cos(∠B)

⇒ ( |AC|²-|AB|²-|BC|² ) / ( -2·|AB|·|BC| ) = cos(∠B)

⇒ ∠B = arccos( ( |AC|²-|AB|²-|BC|² ) / ( -2·|AB|·|BC| ) )

= arccos( ( 11²-16²-16² ) / ( -2·16·16 ) )

= 40.21101958°

≈ 40.2°

6 0

2 years ago

A whole lotta points. Please answer its life and death urgency. I will give everything, including brainliest. But ONLY if you an

Oksana_A [137]

Answer:

The correct answer is 31x + 0.5

Step-by-step explanation:

∵ 13x + 5 + 17x - 4.5 + x

To solve this correctly you must to add the coefficients of the like terms (terms who has same variables or constant terms)

∵ 13x , 17x , x are like terms ⇒ terms with same variable

(same letters and same power)

∵ 5 , 4.5 are like terms ⇒ constant terms (numbers only)

∴ (13x + 17x + x) + (5 - 4.5) = 31x + 0.5

* The error of first answer:

- 18x + 17x - 4.5 + x

- She add 13x + 5 = 18x ⇒ she add unlike terms

* The error of second answer:

- 35x - 4.5 + x

- She add 13x + 5 + 17x = 35x ⇒ she add 2 like terms with 1 unlike term

* The error of third answer:

- 30.5x + x

- She add 13x + 5 + 17x - 4.5 = (13x + 17x) + (5 - 4.5) =

30x + 0.5 ⇒ she add 2 like terms and 2 constant terms

and then add the 2 unlike answers

* The error of fourth answer:

- 31.5x

- She add 13x + 5 + 17x - 4.5 + x = (13x + 17x + x) + (5 - 4.5) =

31x + 0.5 ⇒ she add 3 like terms and 2 constant terms

and then add the 2 unlike answers

5 0

3 years ago

Graph the line that passes through the given point and has the given slope m!

Veseljchak [2.6K]

Answer:

The line would be y = -1/4x + 27/4

Step-by-step explanation:

In order to find this, we first need to note that the original slope is -1/4. And since parallel lines have the same slope, we know our new line will have that same slope. Now, we can use that slope and the point in point-slope form and solve for y.

y - y1 = m(x - x1)

y - 6 = -1/4(x - 3)

y - 6 = -1/4x + 3/4

y = -1/4x + 27/4

7 0

3 years ago