Are angles 1 and 2 a linear pair? Yes or no.

Answer:

Step-by-step explanation:

From the figure attached,

A helicopter is flying at a height 'h' and angle of elevations from two islands C and B are 35° and 15° respectively.

Let the measure of BD = x miles

From ΔABD,

tan(15) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{h}{x}[/tex]

h = x.tan(15) ---------(1)

From ΔACD,

tan(35) = [tex]\frac{h}{12-x}[/tex]

h = (12 - x).tan(35) ------(2)

By equating the values of h from equations (1) and (2),

x.tan(15) = (12 - x).tan(35)

[tex]\frac{x}{12-x}=\frac{\text{tan}35}{\text{tan}15}[/tex]

[tex]\frac{x}{12-x}=2.613[/tex]

x = 2.613(12 - x)

x + 2.613x = 31.386

3.613x = 31.386

x = 9.914 ≈ 9.9 miles

From equation (1),

h = x.tan(15)

  = 9.9[tan(15)]

  = 2.65 ≈ 2.7 miles

Therefore, helicopter is flying at the vertical height = 2.7 miles and horizontal distance of the helicopter from the island B = 9.9 miles.

Answer:

2.7

Step-by-step explanation:

I took the quiz and got it right :)

Answer:

C. x= 4

Step-by-step explanation:

|x + 3| = 7

x + 3 = 7

x = 7 - 3

x = 4

Answer:

x = 4

Step-by-step explanation:

|x + 3| = 7

=> x + 3 = 7

=> x = 7 - 3

=> x = 4

Answer:

60 is correct answer by method of hcf

Answer:

The greatest common factor of 45 and 60 is 15

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, 2) and (6, 8)

The slope is

[tex]m = \frac{8 - 2}{6 + 4} = \frac{6}{10} = \frac{3}{5} \\ [/tex]

We have the final answer as

[tex] \frac{3}{5} \\ [/tex]

Hope this helps you

Answer:

C

Step-by-step explanation:

Just took it

your correct answer is C

(0.80)

Answer:

D

Step-by-step explanation:

$7.00 + $2.20*9 = $26.80

Answer:

{ (-2,2) , (0,2) , (7,2) , (11,2) }

Step-by-step explanation:

Your x variable cannot repeat.

Answer:

w²-24w+144

y²+6y+9

x²+20x+100

Step-by-step explanation:

Answer:

Yes the number 42 is at its simplest form.

Step-by-step explanation:

Any whole number is already at its simplest form.

Answer:

x>-2

Step-by-step explanation:

-3x+2<8

Subtract 2 from each side

-3x+2-2<8 -2

-3x < 6

Divide each side by -3. remembering to flip the inequality

-3x/-3 >6/-3

x>-2

Answer: 14

Step-by-step explanation: 14 because QU is 24, RU is 19, so SU has to be 14. 24-5=19 19-5=14

Answer:

14

Step-by-step explanation:

QR = 5   RS = 5   and   ST = 5

If all of these distances are equal to 5 then all you need to do is subtract the distance of RU, which is 19, from ST, which is 5, and that'll be your answer.

Answer:

  125°°

Step-by-step explanation:

∠DFC is a vertical angle with ∠BFE. As such, it is the sum of the right angle and the one marked 35°.

  ∠DFC = 90° +35°

  ∠DFC = 125°

_____

Alternate solution

∠CFA = 90° = ∠CFB +∠BFA

∠CFB = 90° -35° = 55°

∠BFC and ∠CFD are a linear pair, so total 180°

∠CFD = 180 -55° = 125° = ∠DFC

Answer:

7

Step-by-step explanation:

28x7=196

196=14^2 aka a perfect square

Answer:

  53°

Step-by-step explanation:

If you translate the 4 N force to the right so its tail is at the tip of the 3 N force, you see these are the legs of a 3-4-5 right triangle. The 4 N force is opposite the angle of interest, and the 3 N force is adjacent. Then the angle of interest, α, has the relation ...

  Tan = Opposite/Adjacent

  tan(α) = 4/3

  α = arctan(4/3) ≈ 53°

The direction of the resultant is 53° clockwise from the horizontal axis.

Answer:

150,000

Step-by-step explanation:

15x10000=150,000

Answer:

$150,000 - Make sure to read my explanation

Step-by-step explanation:

You didn't include the question, but I'm just gonna guess that you what to know how much money she will have deposited by the time she retires. This is just a simple multiplication problem if so.

15 * 10,000 = $150,000

In conclusion she will have saved 150,000 by the time she retires. Sorry If I guessed the question wrong.

Given:

Point O is on line segment NP.

OP=10, NP=2x, and NO=x+7.

To find:

The numerical length of NO.

Solution:

If point O is on line segment NP, then by segment addition property, we get

[tex]NP=NO+OP[/tex]

[tex]2x=(x+7)+10[/tex]

[tex]2x=x+17[/tex]

Subtract both sides by x.

[tex]2x-x=17[/tex]

[tex]x=17[/tex]

The value of x is 17.

Now,

[tex]NO=x+7[/tex]

[tex]NO=17+7[/tex]

[tex]NO=24[/tex]

Therefore, the numerical length of NO is 24units.

Answer:

58

Step-by-step explanation:

im pretty sure its saying like what she is losing by not going to work and how much she is paying for the movie so 8x6 then add the 10

Answer: $28,000

             +$1,000

               $29,000

Answer:

At 15 weeks they will both weigh 180

Step-by-step explanation:

150 + 2w = 195 - w

2w + w = 195 - 150

3w = 45

w = 45/3

w = 15 <=== they will weigh the same at 15 weeks

150 + 2(15) = 150 + 30 = 180...and they will both weigh 180 lbs

I hope this helps you :)

Answer:

True on both.

Step-by-step explanation:

The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink).

Answer:

12/312

Step-by-step explanation:

I did this quiz.

Answer:The "+7" indicates that there will be a y-intercept at 7. Therefore, you can plot a point at (0,7).

Answer:

17x

Step-by-step explanation:

Answer:

therefore 25 numbers lie inbetween.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Use the distributive property on 2(4x - 4), which makes the equation 3x+8x-8=3

Simplify, which makes the equation 11x-8=3

Add 8 to both sides, which makes the equation 11x=11

Divide both sides by 11, which makes the equation x=1

Answer:

what ever y equals plug it back into the problem and if get 0=0 then u got

Step-by-step explanation:

it