In the diagram at right, which letter, with regards to W, is the angle of depression?

Answer:

Option A

Step-by-step explanation:

If you divide a negative number by a negative number, the answer will always be positive, so A must be the right answer  

We are given:

An even number 'n', multiplied by the next consecutive even number is 168

Solving for n:

From the given statement, we can say that:

n(n+2) = 168                      [n multiplied by the next even number 'n+2']

n² + 2n = 168

n² + 2n - 168 = 0               [subtracting 168 from both sides]

We can see that we now have a quadratic equation, solving using splitting the middle term

n² + 14n - 12n - 168 = 0

n(n + 14) -12(n + 14) = 0      [factoring out common terms]

(n-12)(n+14) = 0

Here, we can divide both sides by either (n-12) OR (n+14)

Checking the result in both the cases:

(n + 14) = 0/(n-12)                     (n-12) = 0/(n+14)

n + 14 = 0                                 n - 12 = 0

n = -14                                      n = 12

Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n

Answer:

True

Step-by-step explanation:

Answer:

your answer would be 1kg

Step-by-step explanation:

Answer: The largest one is 1kg

Step-by-step explanation:

Answer:

Step-by-step explanation:

Time taken in each lap = 4 min

Total laps = 11

Total time = 11 x 4 = 44min

Answer:

44 minutes

Step-by-step explanation:

4 minutes per lap . He is running 11 laps. Multiply 4 times 11 and it equals 44

Answer:

14 3/8 pounds

Step-by-step explanation:

Given

Total pounds donated = 50 pounds

Amount for dogs D = 17 3/4 pounds

Amount for puppy P = 17  7/8 pounds

Required

Amount of cat food C

Total = D + P + C

50 = 17 3/4 + 17 7/8 + C

50 = 71/4 + 143/8 + C

50 = (142+143)/8 + C

50 = 285/8 + C

C = 50 - 285/8

C = 400-285/8

C = 115/8

C = 14 3/8

Hence the pounds of cat food donated was 14 3/8 pounds

Answer: x^2 + 6x + 9

Step-by-step explanation:

first, you square everything.

x^2 + 2x x 3 + 3^2

then, you calculate/evaluate.

x^2 + 6x + 9

Answer:

16.4%

Step-by-step explanation:

$1665=100%

$53.40=?

53.40×100÷1665

=16.4%

Answer:

20 %

Step-by-step explanation:

tell me if I'm wrong , your welcome and merry Christmas !!

Answer: 20%

Step-by-step explanation: 50 times 5 is 250. If you take 5 out of 100 you get 20’s

Answer:

He’s a good man

Step-by-step explanation:

Answer:

35% of the cupcakes were Mocha.

Step-by-step explanation:

So, 28 + 52 = 80 which means the question is: 28 is what percent % of 80? And 28 is 35% of 80. Hope I helped! Sorry if not. Have a wonderful day and an even better Christmas break! Remwmber to focus on the positive and give me a follow! ;) Bye!

Answer:

8.246 units long

2sqrt(17) units long in simplest radical form

Step-by-step explanation:

Use the Pythagorean Theorem to find the missing leg length:

a^2+b^2=c^2

4^2+b^2=sqrt(84)^2

16+b^2=84

b^2=68

b=sqrt(68)

b=2sqrt(17) <-- Simplest Radical Form

b=8.246

So the third side is approximately 8.246 units long

Answer:

97o im pretty sure

Step-by-step explanation:

Answer:

Your answer should be C

Step-by-step explanation:

63+44=107

Answer:

74

Step-by-step explanation:

because it is alternate angle

Answer:

1. 106º

2. 146º

Step-by-step explanation:

1. The two angle are supplementary which means that together they will equal 180º

2. The acute angle next to the angle in question is completing the 180º of both the triangle and the line meaning that the 90º of the triangle plus 56º of the other angle must be the same amount of degrees as angle x.

Answer:

The answer is z= 7.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

56

Step-by-step explanation:

you need to mulitiply the 4 to x and -3

4x-12

if you need to solve for x: 4x=12

X=3

The answer is 4x-12

if you multiply 4 times x it is 4x, and if you multiply 4 by negative 3(-3) the answer is negative 12 (-12), so you put 4x together with -12 that would be 4x-12

9514 1404 393

Answer:

  ? = 95°

Step-by-step explanation:

Long arc QR is twice the measure of inscribed angle QSR, so is 2×95° = 190°. That, together with the remaining short arcs ? and RS will make up the total circle of 360°.

  arc QR + arc RS + ? = 360°

  190° +75° +? = 360°

  ? = 360° -265° . . . . . . subtract 265° from both sides

  ? = 95°

Answer:

The final cost for the service that offers the better deal is $56 per month, in total for the whole year it's $672.

The cost for the one that offers the worse deal is $65 per month.

Step-by-step explanation:

All we need to do is multiply the amount of money by the number of employees.

So:

20 × $2.80 = $56

(Calculations for worse deal)

20 × $3.25 = $65

Answer: $108.00

Step-by-step explanation:

$3.25 per employee, per month (3.25 x 20 x 12) = $780/ mo

$2.80 per employee, per month (2.80 x 20 x 12) = $672/mo

subtract the two, which equals $108.00 will be saved each year with the one-year subscription.

Answer:

x=-3

x=-4

Step-by-step explanation:

-2|7+2x|=-2

|7+2x|=1

7+2x=1

x=-3

7+2x=-1

x=-4

Answer:

6

Step-by-step explanation:

Plz answer my question

Answer:

x=11

Step-by-step explanation:

since the triangle is an isosceles triangle, angle 2 should be angle 42 so,

2x+20=42 degrees

2x=22

x=11

Answer:

your answer simplified is:

13+3i

Answer:

a

Step-by-step explanation:

The force that moves food through the esophagus into the stomach is;

d:Push force from contractions of the esophagus moves food through the esophagus.

When we are sitting upright and eat food, the food moves down the esophagus and into the stomach.

Now, that will be a logical explanation because just like a flow, it goes with gravity position and would go from up down like a free fall.

However, when we are not sitting upright but upside down with our head on the ground and legs up, what happens is that the food still goes to the stomach via the oesophagus but this time because of the position of the body, the oesophagus will contract i.e. contraction in the walls of the food pipe which will lead to a push force that takes the food into the stomach.

Read more about digestive process at; https://brainly.com/question/1285073

Answer:

Fourth choice, 16

Step-by-step explanation:

The 2 angles are both 74 degrees, so the side that is facing each angle will be the same length, so:

9x - 73 = 3x + 23

add 73 to both sides

9x = 3x + 96

subtract 3x from both sides

6x = 96

divide by 6

x = 16

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3 - 2x = -1.5x

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that -9 does indeed equal -9.

∴ x = 6 is the solution to the equation.

Answer:

x= 6

Step-by-step explanation:

3-2x= -1.5x

-3       -3

-2x= -1.5x - 3

+1.5x   +1.5x

-.5x= -3

divide both sides by -.5

x = 6

3n + 7 = 16 (equation)

3n = 9

n = 3 (answer

Answer:

150$

Step-by-step explanation:

Answer: 150

Loli

threhwrthwrhwryjwyt

Step-by-step explanation:

2x - 3y = 9

2x + 3y = 3

__________ -

-6y = 6

y = -1

2x - 3y = 9

2x - 3(-1) = 9

2x - (-3) = 9

2x = 12

x = 6