Find the measures of the angles in a triangle with the ratio of 2:7:9

(a) See the attached sketch. The jet makes a right triangle with the ground with hypotenuse y. Since the angle of depression is 56°, and the plane in which the jet is flying 300 m in the air is parallel with the ground, the angle of elevation in the right triangle is also 56°. Use the definition of sine to solve for y.

sin(56°) = (300 m)/y   →   y = (300 m)/sin(56°)

The uppermost angle in the blue triangle has measure equal to the difference between the two given angles of depression, 56° - 30° = 26°, and the rightmost angle is also 30° by the same reasoning as before. Then by the law of sines,

x/sin(26°) = y/sin(30°)   →   x = sin(26°)/sin(30°) y ≈ 317.2627 m

(b) No, the field is not long enough.

Answer:

3. < ACB=<DCE

Step-by-step explanation:

Both are vertical angles & they are equal

Answer:

123

Step-by-step explanation:

Answer:

the common difference in the arithmetic sequence: 21, 15, 9, 3, -3, ... is 6

Answer:

slope: -3; y-intercept: (0,15)

Step-by-step explanation:

The slope is -3, simply move 3x to the right side for slope intercept form, the y-intercept is where x =0 so set x equalt to zero. 3(0)+y=15, y=15

Answer:

(168,12)

Step-by-step explanation:

Substitute x = 10y+48 in the first equation.

[tex]10y + 48 + y = 180 \\ 11y = 180 - 48 \\ 11y = 132 \\ y = \frac{132}{11} \\ y = 12[/tex]

We have got the y-value. Our next goal is to find the x-value by substituting y-value in any given equations.

For me, I will be substituting y = 12 in the first equation.

[tex]x + 12 = 180 \\ x = 180 - 12 \\ x = 168[/tex]

Answer Check

Substitute both x-value and y-value in both equations.

[tex]168 + 12 = 180 \\ 180 = 180[/tex]

Our first equation is true for both values.

[tex]168 = 10(12) + 48 \\ 168 = 120 + 48 \\ 168 = 168[/tex]

Our second equation is true for both values.

Thus, the answer is (168, 12)

Answer:

4(x-4)

4 is the largest common factor

I hope this helps:

Hey there!

For equations like this I usually find the GCF or Factors of the given numbers for both of numbers and factor/solve it from there!

So, I’ll do the same thing for you.

[tex]\bf{4x: 1,2,4,\& \ x}\\ \bf{16: 1,2,4,8}}[/tex]

GCF: [tex]\bf{4}[/tex]

[tex]\boxed{\bf{Answer: 4(x - 4)}}\checkmark[/tex] (Just distribute and it’ll convert back to the equation in your question

Good luck on your assignment and enjoy your da!

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

she puts 20 in the basket and she eats  8

Step-by-step explanation:

Step one:

given data

we are told that for every 5 strawberries she puts in the basket, she eats 2

if she picks 28

then she will put 20 in the basket and eat 8

the first 5 she puts in the basket, she ears 2

the second 5 she eats 2, total is 7

the third 5, she eats 2, total is 7

the fourth 5, she eats 2, total is 7

hence she puts 5+5+5+5= 20 in the baskets

and eats 2+2+2+2= 8

Hey there!

The correct answer is adjacent.

The exact definition in the Oxford dictionary is "next to or adjoining something else."

Hope it helps and have a great day!

P.S. A picture of adjacent angles is below, you can see they are adjacent because they are connected.

Answer:

$21.97

Step-by-step explanation:

2(5.99)+ 1(9.99) = 11.98 + 9.99 = 21.97

Answer:

13,000. A lot greater as its 99.1% more.

Step-by-step explanation:

calculator shall guide you.

Answer: they printed 40,978 pages in a week

Answer:

5 1/3

Step-by-step explanation:

i think

Answer:

(D).

Step-by-step explanation:

[tex]A_{b}[/tex] = A + [tex]A_{s}[/tex]

(A). 12 + 16 > 20

(B). 10 + 18 < 30

(C). 4 + 5 < 12

(D). 8 + 16 = 24

Answer:

97

Step-by-step explanation:

you square 72 and 65 and add them together then take the square root of your answer aka 97 and thats the hypotenuse

Answer:

65 degrees

Step-by-step explanation:

The missing angle on the bottom is 35 degrees. This is because it lies on a straight line with the other angle being 145 degrees and a straight line is always 180 degrees, so 180-145=35 degrees. Now we have to find x so we should add the two known angles (35+80=115) and subtract it from 180 (180-115) to get 65 degrees for x.

Step-by-step explanation:

the difference of 2x and 15 is less than or equal to the

sum of 4x and 17

i.e.,

2x - 15 < 4x + 17

if you want to find ahead then

2x - 15 = 4x + 17

2x - 4x = 17 + 15

- 2x = 32

x = - 32/2

x = - 2

Answer:

8×8×8 =512

Step-by-step explanation:

prove me wrong

Answer:

512 cm

Step-by-step explanation:

the formula to find volume is length × width + height (L×W×H) and since it is a cube all of the sides are equal so simply multiple 8 × 8 × 8 to get 512

Answer: 8 is the answer

Step-by-step explanation:

Answer:

13.928

Step-by-step explanation:

Answer: hi! the answer is in the picture below but in case you can’t see the answer is JPFS

have a wonderful day and stay safe!!!

Step-by-step explanation: (see picture :))

Answer:

JPFS

Step-by-step explanation:

Verified correct with test results.

Answer:

$225

Step-by-step explanation:

25% of 300 is also 1/4 of 300 which is 75

you take the discounted price away from the original price

300-75=225

Answer:

25 degrees celcius

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf x = 8a}[/tex]

Step-by-step explanation:

[tex]\sf \frac{3}{a} x - 4 = 20\\\\Add \ 4 \ to \ both \ sides\\\\\frac{3}{a} x = 20+4\\\\\frac{3}{a} x = 24\\\\Multiply \ both \ sides \ by \ a\\\\3x = 24 * a\\\\Divide \ 3 \ to \ both \ sides\\\\x = 24a / 3\\\\x = 8a\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

x-9cm

Step-by-step explanation:

compute

Answer:

The answer is B. 1

Step-by-step explanation:

rise over run

1/1=1

Answer:

I'm pretty sure it's B. 1

Step-by-step explanation:

Because I got 2 points where the line crosses and I made a triangle joining the points

Then I did the change in y/change in x

and so I did 2/2 and got 1

hopefully that's right :)

Answer:

1/24

Step-by-step explanation:

Pls mark me the brainiest thx.

Hope this helps!

Answer:

try the first, fourth, and last one

Step-by-step explanation: when you read the question it say select all that apply to form the equation so all you have to do is select the numbers and the variables that are in the equation above.

Answer:

it is -21

Step-by-step explanation:

make it braintliest please

Answer:

Step-by-step explanation: