5. Lines p and q are parallel, and line w is a transversal. Which angle is not congruent to angle 1? ​

The fire from the base of the tower is at 120 m and Option D is the correct answer.

The angle of depression is an angle formed between the horizontal line and the line of sight when an observer looks downwards at an object is known as an angle of depression.

The formula is

[tex]\rm sin\;\theta = y/z\\\\\\cos\; \theta = x/z\\\\\\tan\; \theta = y/x[/tex]

where x is the distance between the point of the ground and the object , horizontally,

y is the perpendicular distance between the surface to the object

and z is the measure of line of sight

[tex]\rm \theta[/tex] is the angle of depression = 14°

It is given in the question that y= 30 m

x= ?

To determine  we will substitute the value

[tex]\rm tan\; \theta = y/x\\\\\\tan \;14^{o} = 30/ x\\\\\\0.25 = 30/x\\\\\\\x= 30/0.25\\\\\\x= 120 m\\[/tex]

Therefore the fire from the base of the tower is at 120 m and Option D is the correct answer.

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Answer:

I Think C is correct

•ω• Hewo fren!

☆☆●◉✿Answer:✿◉●☆☆

20740

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

Since the oranges cost 2.50 cents each then the ratio would be 2.50 cents to 1 orange, 2.5:1. James is buying 8296 oranges so we would have to multiply the ratio by 8296 since the oranges increased. 1 × 8296 = 8296.

2.5 × 8296 = 20740. James paid 20740 dollars for 8296 oranges. (20740:8296 would be the ratio.)

HOPE I HELPED!  ∧∧

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{WHY SO MANY ORANGES ono}

Answer:

Length of Ladder(Hypotenuse)=18

Height of wall(Opposite) =14

How far from the base... This talks about the adjacent or distance between the wall and the base.

You can get your answer from Pythagoras theorem

Which states

The square of the hypotenuse is = to the squares of the adjacent and Opposite sides

H² = O² + A²

We're looking for the adjacent "A"

Making A the subject

A² = H² - O²

A= √H² - O²

A= √18² - 14²

A=√128

A= 8√2'

Answer:

5029

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14

This indicates the sequence is arithmetic with sum to n term

=  [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 215 and d = 14 , then

=  [ (2 × - 215) + (46 × 14) ]

    = 23.5 (- 430 + 644)

   = 23.5 × 214

   = 5029

Answer:

6*3=18 cups

Step-by-step explanation:

3 cups of flour to make 1 batch

so to make 6 batches = 3*6 = 18

Answer:

280

Step-by-step explanation:

Answer:

x = − 8  and  y = 5  or (-8, 5)

Step-by-step explanation:

Given:

The equation is:

[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]

To find:

The value of a.

Solution:

We have,

[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]

On simplification, we get

[tex](3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}[/tex]

[tex]6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}[/tex]

[tex]6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}[/tex]

[tex](6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}[/tex]

On comparing both sides, we get

[tex]6-12a=-18[/tex]

[tex]-12a=-18-6[/tex]

[tex]a=\dfrac{-24}{-12}[/tex]

[tex]a=2[/tex]

And,

[tex]8-3a=2[/tex]

[tex]-3a=2-8[/tex]

[tex]a=\dfrac{-6}{-3}[/tex]

[tex]a=2[/tex]

Therefore, the value of a is 2.

Answer:

3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/5 is greater than 3/8 I’m not sure by how much tho

Answer:

16

Step-by-step explanation:

Because the number is closer to 16, it can be rounded off to that. 15 31/40 is the same as 15.78. When the decimal is over .50 it is rounded up to the next whole number, but when it is under .50 it si rounded down to the nearest whole number. ex. since this one is over the .50, it's rounded up, but if it were 15.36 then it would be rounded down to 15. hope this helps :D

Answer:

2.25, or 2 1/4 or 9/4.

Step-by-step explanation:

3/4 times 3 = 9/4

Answer: A IS CORRECT

Step-by-step explanation:

Answer:

whats the qestion??

Step-by-step explanation:

Answer:

i think the area if shadded region is 16m

Answer:

First quadrant grid with points A, B, and C labeled

Step-by-step explanation:

Because that is the only option and I also don't see the graph

Answer:

it is 5.7 so it should be in between the 5 and 6 but closer to the 6.

Step-by-step explanation:

Hope this helps have a great day! :)

Answer: 5.7

Step-by-step explanation:

Because it’s closer to six but still In the 5 range.

Answer: X = 2

Step-by-step explanation:

Step 1: Simplify both sides of the equation!

Step 2: Subtract 4x from both sides.

Step 3: Subtract 6 from both sides.

Step 4: Multiply both sides by 2/(-7).

I have no clue this queshtion seems pretty hard.

Answer:

Annual premium = $1,500 per year

Quarterly premium = $375 per quarter

Step-by-step explanation:

Given:

Insured amount of term insurance plan = $15,000

Number of year = 10 year

Find:

Annual premium

Quarterly premium

Computation:

Annual premium = Insured amount of term insurance plan / Number of year

Annual premium = $15,000 / 10

Annual premium = $1,500 per year

Quarterly premium = Insured amount of term insurance plan / Number of quarter in 10 year

Quarterly premium = 15,000 / (10 x 4)

Quarterly premium = 15,000 / 40

Quarterly premium = $375 per quarter

Answer:

Tom = 5

Susan = 3

Step-by-step explanation:

FROM THE BOXPLOT :

Tom's IQR :

IQR = Q3 - Q1

Q3 = third quartile (value at the endpoint of the box)

Q1 = 1st quartile (value at the beginning of the box)

IQR = 9 - 4

IQR = 5

SUSAN :

IQR = Q3 - Q1

Q3 = third quartile (value at the endpoint of the box)

Q1 = 1st quartile (value at the beginning of the box)

IQR = 8 - 5

IQR = 3

Answer:

the equation will be

Step-by-step explanation:

2x+y+5=0

Answer:

2x + y + 5 = 0

Step-by-step explanation:

The equation of line is x-2y = 14 and we need to find the equⁿ of line which passes through (-1,-3) and is perpendicular to given line.

=> x - 2y = 14

=> 2y = x - 14

=> y = x-14/2

=> y = x/2 - 7

=> Slope (m) = 1/2 .

Now the slope of line perpendicular to it , will have a slope ,

=>[tex] m_{perp}[/tex] = -1/m

=>[tex] m_{perp}[/tex] = -1/½

=> [tex] m_{perp}[/tex] = -2

=> m = (y - y₁) / ( x - x₁)

=> -2 = { y - (-3) } / { x - (-1) }

=> -2 = y + 3/x + 1

=> -2(x + 1) = y + 3

=> -2x -2 = y + 3

=> y + 2x +3+2 = 0

=> 2x + y + 5 = 0

Answer:

B

Step-by-step explanation:

200+50m >1250

This means that for every month her grandmother gives 50 for an unknown amount of months along with the first 200 dollars.

The greater than 1250 shows that until she is greater than 1250 she'll keep getting money

Answer:

V = 2784 mm^3

Step-by-step explanation:

The base of this prism is a right triangle. We can use the formula:

A = bh/2

to find the area of the base. A is area, b is base, and h is height. We can substitute what we have:

A = 16 * 12 / 2

A = 96

The volume of a prism is represented by the formula:

V = Bh

Where V is the volume, B is the base, and h is the height.

We have the area of the base as 96 and the height as 29, so we can substitute them in:

V = 96 * 29

V = 2784 mm^3

Answer:

DCB = 44 degree

Step-by-step explanation:

DAB (given = 100

(180-100 ) / 2 = 40

ADB = ABD = 40 degree   (each)

ADC (given =  108

BDC =  DBA =  108-40 = 68 degree;

(subtracting angle inscribed within another triangle)

Triangle DBC =   180- 68+68 = 180 - 136 = 44 degree

Find DCB We have found BDC and DBA by deducting ADB from ADC

to get  BDC

Then we deduct BDC from ADC to get DCB

Answer:

The answer would be C. 31

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

15 Girls like fantasy books and 16 boys like fantasy books so in total the students that like fantasy books are 31.

hope this helps,have a great day!!

~Pinky~