Prove cot(− θ) =− cot(θ)

Answer:

hmm looks like you are over thinking it its just 20-8

Step-by-step explanation:

Step-by-step explanation:

In triangle ADE:

sum of all angles is 180.

3x-10+58+42=180

3x+90=180

3x=180-90

3x=90

x=90/3

x=30

As line DA and CB are parallel:

angle D=angle C

angle y=58

In angle BCE, sum of angles is 180.

z+58+42=180

z+100=180

z=180-100

z=80

Answer:

4hr and 30 min

Step-by-step explanation:

2hr and 50 min + 30 min = 3hr and 20 min

3hr and 20 min + 1hr and 10min = 4 hr and 30min

The third answer

1 quarter, 6 dimes, 1 nickel, 7 pennies

Answer:

x < -5

Step-by-step explanation:

-0.6x > 3

=> Dividing 0.6 on both sides

=> -x > 3/0.6

=> -x > 5

=> x < -5     [When we multiply -1 on both sides the sign changes]

The solution to the inequality -0.6x > 3 is x < -5.

To solve for x in the inequality -0.6x > 3, we need to isolate x on one side of the inequality.

First, to divide both sides of the inequality by -0.6 to remove the coefficient in front of x.

Remember that when dividing or multiplying both sides of an inequality by a negative number, we need to reverse the inequality sign.

So, dividing both sides by -0.6 gives

x < 3 / -0.6

Simplifying the right side of the inequality, we have:

x < -5

Therefore, the solution to the inequality -0.6x > 3 is x < -5.

Learn more about inequality ;

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Answer:

B. x = 4

Step-by-step explanation:

Answer: X = 4

Step-by-step explanation:

(x + 20)/2 = 3x

x + 20 = 2*3x

x + 20 = 6x

20 = 6x - x

20 = 5x

20/5 = x

x = 4

Answer:

[tex] \frac{ay}{x} - dx = wx [/tex]

multiply x through out:

[tex]ay - {dx}^{2} = w {x}^{2} \\ {wx}^{2} + {dx}^{2} = ay[/tex]

factorise out x²:

[tex] {x}^{2} (w + d) = ay \\ {x}^{2} = \frac{ay}{w + d} [/tex]

take square root on both sides:

[tex] \sqrt{ {x}^{2} } = \sqrt{ \frac{ay}{w + d} } \\ \\ x = \sqrt{ \frac{ay}{w + d} } [/tex]

Step-by-step explanation:

the biggest obstacle is usually a division by x.

so, let's get rid of it by multiplying both sides of the equation by x

ay - dx² = wx²

then

ay = wx² + dx² = (w+d)x²

y = (w+d)x²/a = x² × (w+d)/a

Answer:

Top Middle: 2/10 or 1/5 or 4/20

Bottom right: 2/20 or 1/10

Middle right: 2/10 or 1/5

Middle Middle: 7/40

Step-by-step explanation:

1)x is less than 7

2)x is greater than and equal to -4

Answer:

The rule is (-3)(5)^(n-1).

Step-by-step explanation:

OK so the common ratio is 5 and first term = -3.

nth term = ar^(n-1)

= (-3)(5)^(n-1).

Answer:

Answer choices:

a. Reflection takes it to Q2, further rotation takes it back to Q3

b. Reflection takes it to Q2, rotation takes to Q4 with right shape.

c. Rotation takes is to Q4, translation keeps in same Q but with wrong shape

d. Translation takes it to Q4, reflection keeps it in same Q but with wrong shape

Because the shape is present in Q3

So reflection over x axis takes it to Q2

Then 180° rotation about origin takes it to Q4

Hence Option B is correct

Answer:

1. could be the next step.

3. could be the next step.

Step-by-step explanation:

Answer:

10.6

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

Where a and b = the legs and c = hypotenuse

We are given two legs and need to find the hypotenuse

Given:

Short leg (a) = 7

Long leg (b) = 8

Hypotenuse = c

Now to find the value of c we simply plug in the values of the variables into the Pythagorean theorem and solve for c

Pythagorean theorem: a² + b² = c²

a = 7, b = 8, c = c

Plug in values

7² + 8² = c²

Now solve for c

Simplify exponents

49 + 64 = c²

Add

113 = c²

Taking the square root of both sides

c = 10.6 ( rounded to the nearest tenth )

Answer:

c = 10.6

Step-by-step explanation:

[tex]h {}^{2} = p {}^{2} + b {}^{2} \\ c {}^{2} = (8) {}^{2} + (7) {}^{2} \\ c = \sqrt{64 + 49} \\ c = \sqrt{113} \\c = 10.6[/tex]

Answer:

93 cartons

Step-by-step explanation:

January-31

no of cartons-3 × 31=93

Compare to slope intercept form I e y=mx+b where m is slope and b is y intercept

here

Option C

I believe that it is true

Step-by-step explanation:

sorry if im wrong

Answer:

False.

Step-by-step explanation:

Answer:

he can cut 60 strips or ribbon

Step-by-step explanation:

The dressmaker has 720 inches of ribbon

from each roll of ribbon, he can make 6 12-inch pieces or ribbon

she has 10 rolls

so 6(strips per roll) x 10(amount of rolls) = 60 strips :)

3 - 7 + 2 2/6 * 4/5

-4 + 14/6 * 4/5

-4 + 7/3 * 4/5

-4 + 28/15

-32/15

Answer:

49m^2 +( 77+77)m +121

49m^2 + 77m +77m +121

7m (7m +11) +11 (7m +11)

(7m+11) (7m+11)

hope it was helpful

Answer:

[tex](7m + 11 {)}^{2} [/tex]

Step-by-step explanation:

[tex]49 {m}^{2} + 154m + 121[/tex]

➡️ [tex] {7}^{2} {m}^{2} + 2 \times 7m \times 11 + {11}^{2} [/tex]

➡️ [tex](7 m{)}^{2} + 2 \times 7m \times 11 + {11}^{2} [/tex]

➡️ [tex] = (7m + 11 {)}^{2} [/tex] ✅

Hi,

Answer is $0.19

Step-by-step explanation:-

We know that:-

15 dimes = $1.50

20 nickels = $1.00

8 quarters = $2.00

half dollar = $0.50

19 pennies = $0.19

Total = $5.19

Since Billy spended $5, so,

$5.19 - $5 = $0.19

Hope it helps you...

Answer:

∠ LMP = 77° , ∠ NMP = 103°

Step-by-step explanation:

The 2 angles on the straight line sum to 180° , that is

∠ LMP + ∠ NMP = 180 , substitute values

- 16x + 13 - 20x + 23 = 180 , that is

- 36x + 36 = 180 ( subtract 36 from both sides )

- 36x = 144 ( divide both sides by - 36 )

x = - 4

Then

∠ LMP = - 16x + 13 = - 16(- 4) + 13 = 64 + 13 = 77°

∠ NMP = - 20x + 23 = - 20(- 4) + 23 = 80 + 23 = 103°

Answer:

n=1

Step-by-step explanation:

Start by distributing the -3 to (n-4)

14+3n=8n-3n+12

Then combine like terms on the right

14+3n=5n+12

Subtract 12 from both sides

2+3n=5n

Subtract 3n from both sides

2=2n

Divide both sides by 2

1=n

Answer:

Step-by-step explanation:

[tex](x+2)(x-1)= x^2+2x-x-2= x^2 +x -2\\\\( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 =x^2+x-2-x^2+1=x-1\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] =-3(x-1)=-3x+3\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) =-3x+3+3x-3=6x\\[/tex]

Answer: 1.2544

Step-by-step explanation:

2^-1 = 1/2

5^-1 = 1/5

1/2+1/5 = 7/10

(7/10)^2=49/100=0.49

(-5/8)^-2 = 64/25=2.56

(2^-1 +5^-1)^2 *(-5/8)^-2 = 0.49 * 2.56 = 1.2544

Step-by-step explanation:

[tex]thank \: you[/tex]

Answer:

By virtue of The pythagorean theorem,in a right triangle squares of the similar two sides equal the square of The largest side.Only 9,12 and 15 fit this rule.

Step-by-step explanation:

Hope it help you If you have any questions can ask in the comments

Answer:

The coordinates of A are (1, -4)

Step-by-step explanation:

The formula for finding a midpoint is ((x1 + x2) / 2, (y1 + y2) / 2)

However, in this problem, we're already given the midpoint.  We're trying to find an endpoint.  So, the equation changes into:

((x + 9) / 2 = 4, (y + 0) / 2 = -2)

For the x and y coordinates, multiply both sides by 2

(x + 9 = 8, y = -4)

(x = -1, y = -4)

Rewrite as coordinates.

(-1, -4)

Answer:

5.5 inches

Step-by-step explanation:

Because Length * Width = Area, Length * 12 = 66.

If we solve for Length by dividing both sides by 12, we end up with Length = 5.5 inches