Given m|n, find the value of x.

Answer:

1)

y = 45° (converse of alternate interior angle theorem)

z = 45° (alternate interior angle theorem)

k = 135° (exterior angle theorem)

2)

Cos θ + Sin θ = √2 Cos θ

(Cos θ + Sin θ)² = (√2 Cos θ)²

(Exponential property of equality)

Cos² θ + Sin² θ + 2 (Cos θ • Sin θ) = (√2 Cos θ)²

(Distributive property)

1 + 2(Cos θ • Sin θ) = (√2 Cos θ)²

(Definition of the pythagorean identity).

This identity is true because, if a² + b² = c². The triangle must be a right triangle, and a right triangle always has a 90° angle tangent to the triangle, and the tangent of 90° is 1, cos applied to the adjacent over hypotenuse, and sin applies to the opposite over hypotenuse, so this identity must work).

1 + 2(Cos θ • Sin θ) = 2 Cos² θ

(definition of an exponent)

1 + 2(Cos θ • Sin θ) – 1 = 2 Cos² θ – 1

(subtraction property of equality)

2(Cos θ • Sin θ) = 2 Cos² θ – 1

2(Sin θ • Cos θ) = 2 Cos² θ – 1

(Associative property of multiplication ; the input for both functions are θ so this rule works, this is an exception)

Sin (2x) = 2 Cos² θ – 1

(double angled identity of 2 sine and cos)

Answer:

The correct answer is E. The person who got down at Meritland is older than Yahu, who in turn is older than the person from Lambda.

Step-by-step explanation:

We can conclude that there are three managers, two pilots, and one scientist from the information we're given. Since the youngest among the passengers is Zane, a scientist, his age must be 31. The passengers from Beta and Alpha are pilots, whereas the people from Gamma, Delta, and Kappa are all managers. This means that the passenger who is the scientist must be from Lambda. The passenger who got down at Station X is a manager and is under 34 years old.

The passengers from Delta and Alpha are 35 years old. The person from Beta got down at Station Y, while the person from Lambda got down at Station Z. Here’s the final distribution in the attachment:

Answer:

I can't see could you take a picture or something

Step-by-step explanation:

3/4 x n=1......n equals 4/3.

In order for n to equal 1 you have to find a number that will make 3/4 a whole number after you multiply it. Usually in problems like these the answer is usually the fraction but flipped around. So 3/4 and 4/3....when you multiply the    numerators you get 12 and when you multiply the denominator you get 12 so 12/12, which equals 1. hope that makes sense.

Answer:

34%

Step-by-step explanation:

To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.

[tex] \dfrac{986}{2900} \times 100\% = 0.34 \times 100\% = 34\% [/tex]

Answer:

34%

Step-by-step explanation:

986/2900  x 100 = 34%

Answer:

8/15

Step-by-step explanation:

d=rt (distance = rate x time)

2/5=r(3/4)

Divide 3/4 on both sides.

r = 8/15

Answer:

-5p+99

Step-by-step explanation:

Original Equation;

3(p - 29) - 4(2p - 39 -5)

★First Step: Multiply the number 3 by p and -29 which is in the first term so it's going to be;

3 multiplied by p and 3 multiplied by -29

3p - 87

★Second step: Add the -39 and -5 which is going to give you -44 because - + - is = -

-44

★Third step: Multiply -4 by 2p and -44 so it's going to be;

-4×2p=-8p and -4×-44=176 we have positive 176 because - × - = +

★Fourth Step: Remove brackets

So it's going to be;

3p - 87 -8p +176

★Then you combine like terms

3p - 8p - 87 +176

-5p + 99

3(p-29)-4(2p-39-5)

3p-87-4(2p-44)

3p-87-8p+176

3p-8p-87+176

-5p+99

is this multiple choice?

Answer:

It's a) y = 1/3x

Step-by-step explanation:

If you plug in the y and x into the problem, for example, 27y

27 = 1/3 times 9

if you multiply 9 and 1/3, you get 27

so it's a)

:)

Answer:

in 18 mins it would be 6 pages and in 6 mins it would be 1 page

Answer:

C) Area of Triangle is 102 Square Units

Answer: 100.45

Step-by-step explanation: plato or edmentum users i just got it correct

Step-by-step explanation:

rise: any number in the multiple of 2

run: any number in the multiple of 3

WITH

a line sloping downwards

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

[tex]Slope=\frac{Rise}{Run}=\frac{-2}{3}[/tex]

The rise is -2 and run is 3

Step-by-step explanation:

We need to find rise over run if the slope is (-2/3).

The formula of slope is: [tex]Slope=\frac{Rise}{Run}[/tex]

So in the given slope: [tex]Slope=\frac{-2}{3}[/tex]

The rise is : -2 and run is 3 because if we compare the formula of slope with the slope given we can simply find rise over run

[tex]Slope=\frac{Rise}{Run}=\frac{-2}{3}[/tex]

Answer:

The total downloads is 300000

Step-by-step explanation:

Given

Represent the total downloads with D.

[tex]\% = 64\%[/tex]

[tex]Sales = 192000[/tex]

Required

Determine the value of D

We understand that 64% of D = sales.

In other words;

[tex]64\% * D = 192000.[/tex]

Convert % to decimal

[tex]0.64 * D = 192000.[/tex]

Make D the subject

[tex]D = 192000/0.64[/tex]

[tex]D = 300000[/tex]

Hence, the total downloads is 300000

Answer:

11 1/4 or 45/5

Step-by-step explanation:

just multiply 5 * 2 1/4

And thats ur answer

Answer:

Answer:

Quartile Statistics

First Quartile Q1 = 52

Second Quartile Q2 = 53.5

Third Quartile Q3 = 61

Interquartile Range IQR = 9

Median = Q2 x˜ = 53.5

Minimum Min = 49

Maximum Max = 74

Range R = 25

Step-by-step explanation:

Answer:

slope = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6,  4) and (x₂, y₂ ) = (2, - 8)

m = [tex]\frac{-8-4}{2+6}[/tex] = [tex]\frac{-12}{8}[/tex] = - [tex]\frac{3}{2}[/tex]

Answer:

310

Step-by-step explanation:

410-140=310

Answer:

[tex]\frac{99}{2}[/tex]

Step-by-step explanation:

11 × 3 = 33

33÷2 = [tex]\frac{33}{2}[/tex]

[tex]\frac{33}{2}[/tex] × 3 = [tex]\frac{99}{2}[/tex]

Answer:

315 newspapers in 6 hours

Step-by-step explanation:

The answer is 315 because 420 divided by 8 is 52.5 and 52.5 times 6 is 315.

Answer:

28000

Step-by-step explanation:

Answer:

1400 is 5 percent. So 28000 is the price of the car

Step-by-step explanation:

5 percent times 20 is 100 percent

Answer:

m<9 = -3

Step-by-step explanation:

Answer:

5 miles

Step-by-step explanation:

Answer:

The location of the point that is 3/4 the distance from [tex]A(x,y)[/tex] is [tex]C(x,y) = (24, -2.5)[/tex].

Step-by-step explanation:

Let [tex]A(x,y) = (-6,-16)[/tex] and [tex]B(x,y) = (34,2)[/tex] the endpoints of the segment, we can determine the location of the point that is 3/4 the distance from [tex]A(x,y)[/tex] by the following vector equation:

[tex]C(x,y) = A(x,y) + \frac{3}{4}\cdot (B(x,y)-A(x,y))[/tex] (1)

If we know that [tex]A(x,y) = (-6,-16)[/tex] and [tex]B(x,y) = (34,2)[/tex], the location of [tex]C(x,y)[/tex] is:

[tex]C(x,y) = (-6,-16)+\frac{3}{4}\cdot [(34,2)-(-6,-16)][/tex]

[tex]C(x,y) = (-6,-16)+\frac{3}{4}\cdot (40,18)[/tex]

[tex]C(x,y) = (24, -2.5)[/tex]

The location of the point that is 3/4 the distance from [tex]A(x,y)[/tex] is [tex]C(x,y) = (24, -2.5)[/tex].

Answer:

b

Step-by-step explanation:

Answer:

196 miles

Step-by-step explanation:

if he goes 140 miles with 5 gallons, each gallon lets him go 28 miles.

140miles/5gallons=28miles/1gallon

then 7 gallons lets you go 196 miles

brainliest please :)