Find the value of the variable(s) in each figure. Explain your reasoning

Answer:

y=_

x=_

Step-by-step explanation

horizontal for y=_

vertical for x=_

Answer:

X(4-3.4y)

= 4x - 3.4xy

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{LM}{QR}[/tex] = [tex]\frac{KL}{PQ}[/tex] , substitute values

[tex]\frac{x}{15}[/tex] = [tex]\frac{28}{21}[/tex] ( cross- multiply )

21x = 420 ( divide both sides by 21 )

x = 20 → A

Step-by-step explanation:

-6x + 5 > -1

-6x > -6 (subtract 5 on both sides)

x < 1 (divide -6 on both sides, flip the sign)

Hence the answer is x < 1.

Answer:

b i hope

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

∠ 2 = 60°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles fro 180° for ∠ 2, that is

∠ 2 = 180° - (57 + 63)° = 180° - 120° = 60°

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Answer:

  -8x -11

Step-by-step explanation:

Use the distributive property to eliminate parentheses. Then combine the constant terms.

  -4(2x +4) +5

  = -8x -16 +5

  = -8x -11

[tex]\sf \longmapsto-4 ( 2x+ 4) + 5[/tex]

[tex]\sf \longmapsto(−4)(2x)+(−4)(4)+5[/tex]

[tex]\sf \longmapsto−8x+−16+5[/tex]

[tex]\sf \longmapsto(−8x)+(−16+5)[/tex]

[tex]\sf \longmapsto−8x+−11[/tex]

[tex]\sf \longmapsto - 8x - 11[/tex]

Answer:

integers

Step-by-step explanation:

they wouldnt be whole numbers because there are opposites involved, but they wouldnt be just classified as rational because they have the requirements to be classified as integers

Answer:

??You texted incomplete question.

By the way, x = 90

Answer:

-3c

Step-by-step explanation:

Answer:

-3c

Step-by-step explanation:

according to my calculations this is right

Step-by-step explanation:

y = Total number of miles driven

= Number of days * Number of miles per day

= (x) * (300).

Therefore the equation is y = 300x.

When x = 2, y = 300(2) = 600.

The Nguyen family drove 600 miles during the 2 days.

Answer:

Step-by-step explanation:

yes i think so because from point d to point s it’s 4 and then from a to l it’s the same length so i do think it would be 8. 4+4 is 8

Answer:

1/2

Step-by-step explanation:

Or, 8(x-3)+7= 2x(4-17)

Or, 8x-24+7=2x(-13)

Or, 8x-17= -26x

Or, 34x=17

x=1/2

Answer:

Step-by-step explanation:

Answer:

m< 3 = 180 - 93

m< 3 = 87 degrees

m< 4 = 180 - 87 - 49

m< 4 = 44 degrees

m< 2 is vertically opposite to the 49 degree angle given

m< 2 = 49 degrees

m< 1 = 180- 68 - 49

m< 1 = 63 degrees

The measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees

The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

We can determine angle 3 as;

m< 3 = 180 - 93

m< 3 = 87 degrees

Also,

m< 4 = 180 - 87 - 49

m< 4 = 44 degrees

We can see that m< 2 is equal to 49-degree angle by a vertically opposite angle.

m< 2 = 49 degrees

m< 1 = 180- 68 - 49

m< 1 = 63 degrees

Hence, the measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees

Learn more about vertically opposite angles;

https://brainly.com/question/18045519

#SPJ2

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Answer:

  x= 5

Step-by-step explanation:

Sides BC and AD will be parallel when the two  marked angles have the same measure:

  5x -3 = 14x -48

  45 = 9x . . . . . . . . . add 48-5x

  5 = x . . . . . .  divide by 9

Answer:

x = 11

Step-by-step explanation:

Here, we want to get the value of x

Let’s start by looking at the point U

Now, we can see angles on a straight line at that point

Mathematically, angles on a straight line are supplementary

What this mean is that they add up to 180

Now, the value of the angle that falls into the triangle on that straight line will be;

180-(11x + 12)

Now, we have all the angles of the triangle

Mathematically, the sum of all is 180 as the a sum of the angles of a triangle is 180

5x + 10 + 58 + 180-(11x+2 )= 180

5x + 10 + 58 -11x-2 = 0

-6x+ 66 = 0

6x = 66

x = 66/6

x = 11

Answer:

11 is natural, real, integer and whole number.

1% is irrational and real, integer.

√25 = 5 hence it's natural, real, integer and whole

√50 is rational and real, integer.

1.333… is natural, real and integer

2.3×10^5 is natural, real, integer and whole number.

Answer:(x+6) (x+6)

(x+6)^2

Step-by-step explanation:

36+12x+x^2

x^2 +12x +36

What 2 numbers multiply to 36 and add to 12

6*6 = 36

6+6 =12

(x+6) (x+6)

(x+6)^2

Khan said so:

(6+x) (6-x)

Answer:

x = -3

Step-by-step explanation:

2x + y = -2

4x + y = -8

2x + y = - 2

y = -2x - 2

4x + y = - 8

y = -4x - 8

y = -2x - 2

y = -4x - 8

-2x - 2 = -4x - 8

4x - 2x = 2 - 8

2x = -6

2x/2 = -6/2

x = -3

To check just use da graph ;w;

The x is -3

Answer:

Step-by-step explanation:

x=  −1 −y/2

​

x= 4 −8−y/4

​

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Answer:

  not a right triangle

Step-by-step explanation:

The perimeter is 22, so we have ...

  AB +BC +CA = 22

  8 + 5 + CA = 22

  CA = 22 -13 = 9

If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.

  AB² +BC² = 8² +5² = 64 +25 = 89

This is not the same as ...

  CA² = 9² = 81

The triangle is not a right triangle.

_____

Additional comment

If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)

Answer:

I wnat to say its 19

Step-by-step explanation:

Answer:

Step-by-step explanation

Given

Total number of pages to complete the packet = 6400 pages

If each ream contains 500pages, then:

Total number of reams needed = Total pages/number of pages per ream

Total number of reams needed = 6400/500

Total number of reams needed = 12.8

Hence you will need about 13 reams for all the packets

Answer:

You are finding the intersection point of the system of linear equations.

Step-by-step explanation:

You can use methods like substitution, elimination, and/or equal values to find the solution for the system of linear equations.

Step-by-step explanation:

Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.

x = 8sin60° = 6.928 or sqrt48.

That is a question about triangles.

In my answer I will show 2 ways to solve that question, ok? Let's go.

The line segment x divide the biggest triangle in 2 equals right triangles.

Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.

The Pythagoras's theorem says that:

[tex]\boxed{a^2 = b^2 + c^2}[/tex]

a is the hypotenuse and b and c are cathetus.

So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:

[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]

Therefore, the value of x is [tex]4\sqrt{3}[/tex].

That way to solve the question is a consequence of the previous way.

That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:

[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]

h is the height and S is the triangle's side.

So, we know that the side of our triangle is 8. Let's change S value in the expression:

[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]

Thus, the value of x is [tex]4\sqrt{3}[/tex].

Note that in the 2 ways we find the same result, so that answer is correct.

I hope I've helped. :D

Enjoy your studies! \o/