60 points help will give brainliest

Answer:

The factors are (x+9),(x−9).

Step-by-step explanation:

Answer:

Explanation:

The diagram representing the two towers is given below:

∠2 ≅ ∠4 and m∠2 = 110°, and proved  m<3 = 70⁰.

The answers of the blank lines are:

A . Vertically opposite angle.

B . Linear angle .

C . Hence proved  .

Given ,

∠2 ≅ ∠4 and m∠2 = 110°.

We have to prove

m<3 = 70⁰

Here ,

m<2 = m<4 => They are vertically opposite angles.

And here ,

m<3 and m<4 are supplementary angles.

m∠3 + m∠4 = 180° => linear angle .

m<4 = 110⁰  => since  m<2 = m<4

By substituting m∠4  we get,

m∠3 + m∠4 = 180°

= m∠3 + 110 = 180

= 180 - 110

m∠3 = 70°

Hence proved.

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Answer:

7

Step-by-step explanation:

To solve this problem, we need to use the Law of Cosines. The law states that given any triangle ABC:

Then;

Since we want to find the measure of angle x, we can use:

c = 175 mi

a = 200 mi

b = 50 mi

C = x

Now, by the Law of Cosines:

And solve:

To the nearest whole number, x = 54°

The recipe for the waffles presented using rational numbers are as follows;

1. The recipe for 2 waffles is as follows;

[tex] \displaystyle \frac{3}{5} [/tex] cups of flour

[tex] \displaystyle \frac{2}{15} [/tex] teaspoon of salt

[tex] \displaystyle \frac{4}{5} [/tex] teaspoons of baking powder

[tex] \displaystyle \frac{7}{20} [/tex] Cups of milk

[tex] \displaystyle \frac{1}{15} [/tex] Cup of butter

2. The recipe for 5 waffles is as follows;

[tex] \displaystyle 1\frac{1}{2} [/tex] cups of flour

[tex] \displaystyle \frac{1}{3} [/tex] teaspoon of salt

[tex] \displaystyle 2 [/tex] teaspoons of baking powder

[tex] \displaystyle \frac{7}{8} [/tex] Cups of milk

[tex] \displaystyle \frac{1}{6} [/tex] Cup of butter

3. The recipe for 300 waffles is as follows;

900 cups of flour

200 teaspoon of salt

1200 teaspoons of baking powder

525 Cups of milk

100 Cup of butter

4. The required number of waffle irons is 50

5. It would take approximately 6 servers

It would take 34 trips

A rational number is one that can be expressed as a fraction.

From the given table, we have;

The recipe for 10 waffles includes;

3 cups of flour

[tex] \displaystyle \frac{2}{3} [/tex] teaspoon of salt

4 teaspoons of baking powder

[tex] \displaystyle 1\frac{3}{4} [/tex] Cups of milk

[tex] \displaystyle \frac{1}{3} [/tex] Cup of butter

1. To make 2 waffles, we have;

[tex] \displaystyle 2 = \frac{10}{5} [/tex]

Dividing each of the quantities required to make 10 waffles by 5 gives;

[tex] \displaystyle \frac{3}{5} [/tex] cups of flour

[tex] \displaystyle \frac{2}{3 \times 5} = \frac{2}{15} [/tex] teaspoon of salt

[tex] \displaystyle \frac{4}{5} [/tex] teaspoons of baking powder

[tex] \displaystyle \frac{1\frac{3}{4}}{5} = \frac{7}{20} [/tex] Cups of milk

[tex] \displaystyle \frac{\frac{1}{3}}{5} = \frac{1}{15} [/tex] Cup of butter

2. If each person gets 1 waffle, we have;

Number of waffles = 1 + 4 = 5

[tex] \displaystyle 5 = \frac{10}{2} [/tex]

Dividing the recipe for 10 waffles by 2 gives;

[tex] \displaystyle \frac{3}{2} = 1\frac{1}{2} [/tex] cups of flour

[tex] \displaystyle \frac{2}{3 \times 2} = \frac{1}{3} [/tex] teaspoon of salt

[tex] \displaystyle \frac{4}{2} = 2 [/tex] teaspoons of baking powder

[tex] \displaystyle \frac{1\frac{3}{4}}{2} = \frac{7}{8} [/tex] Cups of milk

[tex] \displaystyle \frac{\frac{1}{3}}{2} = \frac{1}{6} [/tex] Cup of butter

3. When each of 300 people can have one, the number of waffles is 300, which gives;

30 × 10 = 300

Multiplying the quantity of each ingredients required to make 10 waffles by 300 gives;

300× 3 = 900 cups of flour

[tex] \displaystyle 300 \times \frac{2}{3} = 200 [/tex] teaspoon of salt

300 × 4 = 1200 teaspoons of baking powder

[tex] \displaystyle 300 \times 1\frac{3}{4} = 525 [/tex] Cups of milk

[tex] \displaystyle 300 \times \frac{1}{3} = 100 [/tex] Cup of butter

4. Time it takes to cook a waffle = 10 minutes

Number of waffles required = 300

Time allowed = 1 hour = 60 minutes

The number of waffle iron is therefore;

[tex] \displaystyle {n = \frac{300 \times 10}{60} = 50} [/tex]

The number of waffle irons required is 50 waffle irons

5. Number of waffles each server can deliver = 9 waffles

The time it takes each server per trip = 10 minutes

Number of waffles to be delivered = 300

Time in which to deliver the 300 waffles = 1 hour

The number of servers is therefore;

[tex] \displaystyle {n = \frac{300}{9 \times 6} = 5. \overline 5 \approx 6} [/tex]

The number of trips is therefore;

5 servers will deliver 5×9×6 = 270

The sixth server will deliver the remaining 300 - 270 = 30 waffles in 30 ÷ 9 = 3.3 ≈ 4

The number of trips all together is therefore; 5×6 + 4 = 34 trips

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The value of i where remainder of n/ 4 is 2 is :

i² = -1 .

i² = -1

i⁰ = 1

i¹ = i

i² = -1

i³ = i² x i

  = -1 x i

  = -i

i⁴ = i² x i²

   = -1 x -1

   = 1

The pattern repeats.

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We are given the following information

M is between G and T

MG = 2x + 1

MT = 3x + 3

GT = 19

Let us draw a sketch to better understand the problem

As you can see, the sum of MG and MT must be equal to the GT

Mathematically,

Let us solve the above equation or x

So, the value of x is 3

Therefore, the required values are

x = 3

MG = 7

MT = 12

Answer: 3x=13+14

3x=27

x=27/3

x=9

Step-by-step explanation: Maybe.

We have the polynomial:

We have to factorize it.

We know that 216 is the cube of 6.

We then applied the property for the difference of cubes.

The answer is Option C.

Difference of cubes property:

x^3-y^3 = (x-y)(x^2+xy+y^2)

A pilot who is flying at a height of 528 feet must land because of a storm. 14.78° angle of depression should he utilize to land.

Given that,

A pilot who is flying at a height of 528 feet must land because of a storm.

We have to find what angle of depression should he utilize to land if the distance between him and the landing strip is 2000 feet horizontally.

In the right angle triangle:

TanΘ=Opposite side/ adjacent side

The opposite side is 528 feet.

The adjacent side is 2000 feet.

Then,

TanΘ=528/2000

TanΘ=0.264

Θ=Tan⁻¹(0.264)

Θ=14.78°

Therefore, 14.78° angle of depression should he utilize to land.

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Answer:

1:1 or one red circle to one blue circle

There is one red and one blue circle

Step-by-step explanation:

We can use the given points to find the slope

It means that every year, there are 1.4 million MORE households with personal computers

Answer:

The equivalent expression is;

Explanation:

We want to simplify the expression;

we will first multiply the negative by every term in the bracket, then simplify by collecting the like terms.

Therefore, the equivalent expression is;

Take into account the following property:

Then, for the given expression you have:

Hence, the answer is approximately 3.322

The exponent of x in the expression (x¹⁰)³⁺⁵ is 6.

Exponent rules, commonly referred to as the "laws of exponents" or "properties of exponents," facilitate the task of simplifying exponent-based statements. These rules can help simplify formulas with exponents that are decimals, fractions, irrational numbers, or negative integers.

The mathematical process known as an exponent often indicates the power of a variable.

As of right now, we are aware that under the scenario of

[tex](x^{a})^{b} = x^{ab}[/tex]

Therefore, solve the power by multiplying 10 by 3/5, and we get

10 × (3/5)

=6

Thus, the expression simplified as

(x¹⁰)³⁺⁵ = x⁶

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The value of x = 1/M-1 , x = -1/M+1

What is Graph?

The graph of a function f is the set of ordered pairs where "displaystyle f(x)=y" exists. In the common scenario when x and f(x) are real integers, these pairings represent Cartesian coordinates of points in two-dimensional space and hence constitute a subset of this plane.

M(x) = |x + 1|

|x + 1| = M(x)

x + 1 = M(x)

x + 1 = -M(x)

Adding (-x) both side

x + 1 + (- x) = M(x) + (- x)

x + 1 + (- x) = -M(x) + (- x)

x + 1 - x = M(x) - x

x + 1 - x = -M(x) - x

1 = M(x) - x

1  = -M(x) - x

M(x) - x = 1

-M(x) - x  = 1

x(M-1)  = 1

x(-M-1)  = 1

Dividing both side with (M - 1) and (-M - 1)

x(M-1)/(M - 1)   = 1/(M - 1)

x(-M-1)/(-M - 1)  = 1 /(-M - 1)

x = 1/(M - 1)

x = 1/(-M - 1)

Hence, x = 1/M-1 , x = -1/M+1

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Answer:

6.75 miles

Step-by-step explanation:

27/2 = 13.5

27/4 = 6.75

27 miles in 2 hours

13.5 in 1 hour

6.75 in half an hour :)

Answer: 6.75 miles

Step-by-step explanation:27/4=6.75, I divided by 4 to get the half hour

Since Carrie wants to make a wallpaper border to go around the top of her room. She wants the border to look something like the illustration below. This is a Reflection

A transformation is an operation that is performed on a picture. Transformations are classified into four types: translations, reflections, dilations, and rotations. In transformations, reflections are achieved by flipping a shape or figure across a line of reflection, a point of reflection, or a plane of reflection.

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. The line of reflection is formed when an image reflects through a line. A figure is said to reflect another figure when every point in one figure is equidistant from every point in another figure.

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ANSWER:

13.35 hours

EXPLANATION:

Given:

Time Kristen takes to harvest = 10.2 hours

Time Kayla takes to harvest = 16. 5 hours

Let X represent the time it would take them to work together.

Here, to find the time it would take them if they worked together, let's find their mean time, using the formula below:

It would take them 13.35 hours if they worked together.

EXPLANATION

Let's see the facts:

shoot = 20 feet

goal = 5 foot

Let's draw the statement:

Since we are finding the side opposite the given angle and know the side adjacent, we can use the Pythagoras Theorem to find the needed value.

Replacing terms:

Isolating x:

Switching sides and simplifying:

The player will not score because 5.4 is greater than 5

Answer: y = 1

Step-by-step explanation:

y = 2(-1) +3

y = -2 + 3

y = 1

Answer:

3500

Step-by-step explanation:

split 7000 in half for stocks and treasury= 3500 each.

7 percent on 3500 is 3724, 7 percent of 3500 is 245 dollors. 535 x 7 is 3745 = 3500 invested in treasury.

Part B

The most appropriate choice for linear equation will be given by -

Third option is correct

c = 7.36p  is the required equation for total cost of p pounds of meat

The cost is $58.88

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here,

Price of one pound of meat = $7.36

Cost of p pounds of meat = $7.36p

By the problem,

c = 7.36p

This is the required equation for total cost of p pounds of meat

Putting p = 8

c = [tex]7.36 \times 8\\[/tex]

c = $58.88

Third option is correct

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Proved that if two parallel lines are cut by a transversal then the alternate exterior angles are congruent.

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

By the property of alternate interior angles;

From the figure attached;

∠XWY ≅ ∠ZYW

The Property of the alternate angles states that if two parallel lines are cut by a transversal, then the alternate angles are congruent.

Here, ∠XWY and ∠ZYW shows the interior angles between the parallel lines and the transversal.

The interior alternate angles ∠XWY and ∠ZYW will be congruent.

Hence, Proved that if two parallel lines are cut by a transversal then the alternate exterior angles are congruent.

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Hello! We can prove this with some statements, look:

• Notice that CD is parallel to AB;

• angle 1 ≅ angle 2

• M is the midpoint of AB;

Statement 1:

Reasoning 1:

As M is the midpoint of AB and we have two similar lines starting in M, we can divide the angle M into two equal angles m1 and m2.

definition of midpoint

Statement 2:

Reasoning 2:

As we already know that angle 1 ≅ angle 2, let's calculate the sum of the angles C and D, look:

angle C:

90º + angle 1

angle D:

90º + angle 2

so, 90º + angle 1 ≅ 90º + angle 2, it means that angle C ≅ angle D.

Statement 3:

Reasoning 3:

The sum of the internal angles of a triangle must be equal to 180º, right? So, knowing it we can say that angles A and B are equal, look:

m1 + A + C = m2 + B + D = 180º

remember, m1 ≅ m2 and C ≅ D, so A ≅ B too.

According to the explanation and image, we can prove that triangle CAM ≅ triangle DBM.

Table:

Answer:

Step-by-step explanation:

i think its the 3rd one

Two hours after depart, the distance between two ships is 39.2 miles and the relative speed of ship A seen by ship B is 19.6 mph heading to 18.4⁰ South of East.

The situation can be depicted on the attached picture.

Let North - South be the y-axis and East - West ne the x-axis.

The velocities vector can be represented as:

Ship A, 20 mph 30⁰ west of north:

vA = - 20 . cos( 60⁰) i + 20 . sin( 60⁰) j

vA = -10 i + 10√3 j

Ship B, 25 mph 20⁰ east of north:

vB = 25 . cos( 70⁰) i + 25 . sin( 70⁰) j

vB = 8.55 i + 23.5 j

b) The speed of ship A relative to ship B is:

vAB = vA - vB

       = ( -10 i + 10√3 j) - (8.55 i + 23.5 j)

       = -18.55 i - 6.18 j

or vAB = sqrt (18.55² + 6.18²) = 19.6 mph with the angle tan⁻¹ (6.18/18.55) = 18.4⁰ South of East.

a) The distance between 2 ships after 2 hours:

d = vAB . 2 hours

d = 19.6 . 2 = 39.2 miles

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