please help me ASAP ε=ε=ᕕ(°□°)ᕗ​

Answer:

1. 58 = 5x-2, 60 = 5x, x = 12

2. 134 = 16x+22, 112 = 16x, x = 7

3. 125 = 7x-1, 126 = 7x, x = 18

4. 133+9x+2 = 180, 9x=45, x=6

5. 8x-77 = 3x+38, 5x = 115, x=23

6. 11x-47 = 6x-2, 5x = 45, x=9

7. 13x-21 = 5x+75, 8x = 96, x=12

8. 5x+3+9x-33 = 180, 14x = 210, x=15

9. 8x-31 = 6x+3, 2x = 34, x=17

5y+35+6(17)+3 = 180, 5y = 40, y = 8

10. 29x-3+15x+7 = 180, 44x = 176, x=4

13y-17+15(4)+7 = 180, 13y = 130, y=10

1. x = 12

2. x = 7

3. x = 18

4. x = 5

5. x = 23

6. x = 9

7. x = 12

8. x = 15

9. x = 17; y = 8

10. x = 4; y = 10

To find the value of each missing variable(s), we would need to apply our knowledge of algebra. However, recall the following rules of angles in parallel lines:

Let's solve the given problems as shown below given that line l is parallel to line m:

1. [tex]58 = (5x - 2)[/tex] (corresponding angles)

solve for x

[tex]58 = 5x - 2\\58 + 2 = 5x - 2 +2[/tex] (addition property of equality)

[tex]60 = 5x \\\frac{60}{5} = \frac{5x}{5}[/tex](division property of equality)

[tex]12 = x\\x = 12[/tex]

2. [tex]134 = 16x+22[/tex] (alternate exterior angles)

[tex]\\134 - 22 = 16x +22-22[/tex] (subtraction property of equality)

[tex]134 - 22 = 16x +22-22\\112 = 16x\\\frac{112}{16} = \frac{16x}{16}[/tex](division property of equality)

[tex]7 = x\\x = 7[/tex]

3. [tex]7x - 1 = 125[/tex] (alternate angles)

[tex]7x - 1 + 1 = 125 + 1\\7x = 126\\\frac{7x}{7} = \frac{126}{7} \\x = 18[/tex]

4. [tex](9x+2) + 133 = 180[/tex] (same-side interior angles)

[tex]9x+2 + 133 = 180\\9x + 135 = 180\\9x + 135 - 135 = 180 - 135\\9x = 45\\\frac{9x}{9} = \frac{45}{9} \\x = 5[/tex]

5. [tex]3x+38 = 8x-77[/tex] (alternate exterior angles)

[tex]77 + 38 = 8x - 3x\\115 = 5x\\\frac{115}{5} = \frac{5x}{5} \\23 = x\\x = 23[/tex]

6. [tex]6x-2 = 11x-47[/tex] (corresponding angles)

[tex]6x-2 = 11x-47\\47 - 2 = 11x - 6x\\45 = 5x\\x = 9[/tex]

7. [tex]5x+75 = 13x - 21[/tex] (alternate angles)

[tex]5x+75 = 13x - 21\\21 + 75 = 13x - 5x\\96 = 8x\\12 = x\\x = 12[/tex]

8. [tex](5x+3)+(9x-33)= 180[/tex] (same-side interior angles)

[tex]5x+3+9x-33= 180\\14x - 30 = 180\\14x - 30 + 30 = 180 + 30\\14x = 210\\x = 15[/tex]

9. [tex]8x-31 = 6x+3[/tex] (alternate angles)

[tex]8x - 6x = 31 + 3\\2x = 34\\x = 17[/tex]

Solve for y

[tex](5y + 35) + (6x + 3) = 180[/tex] (same-side interior angles)

[tex]5y + 35 + 6x + 3 = 180\\[/tex]

Plug in the value of x

[tex]5y + 35 + 6(17) + 3 = 180\\5y + 35 + 102 + 3 = 180\\5y + 140 = 180\\5y = 180 - 140\\5y = 40\\y = 8[/tex]

10. [tex](29x-3)+(15x+7) = 180[/tex](supplementary angles)

Solve for y

[tex]13y - 17 = 29x - 3[/tex] (alternate exterior angles)

Plug in the value of x

[tex]13y - 17 = 29(4) - 3\\13y - 17 = 116 - 3\\13y - 17 = 113\\13y = 113 + 17\\13y = 130\\y = 10\\[/tex]

Learn more about parallel lines here:

https://brainly.com/question/16227989

According to the perimeter of the rectangle, it is found that it's greatest possible width is of 34 cm.

The perimeter of a rectangle of length l and width w is given by:

[tex]P = 2(l + w)[/tex]

In this problem, the length of the rectangle is 7cm longer than the width, hence l = 7 + w. Considering that the perimeter is less than 152 cm:

[tex]2(l + w) < 152[/tex]

[tex]l + w < 76[/tex]

[tex]7 + w + w < 76[/tex]

[tex]2w < 69[/tex]

[tex]w < 34.5[/tex]

Rounding, it's it's greatest possible width is of 34 cm.

More can be learned about the perimeter of a rectangle at https://brainly.com/question/10489198

Answer:

6

Step-by-step explanation:

y=2x+4

y=2(1)+4

y=2+4

y=6

Answer:

I think A would be the right answer.

Answer:

A)

Step-by-step explanation:

V: y = -4; H: x = -6

hope it helps!

Answer:

C says 8x+12y, but D says 12x+8y, instead of 8x and 12y. The correct answer is C, I guess

Step-by-step explanation:

Let x=small rugs and y=medium rugs. It takes 8 hours to dye a small rug, so you would write 8x. It takes 12 hours to dye a small rug, so you would write 12y. Those two would need to be added together. The dyer needs to dye at least 22 rugs in 240 hours, so you would need a less than or = to sign.

I'm not sure which choice has the line beneath, indicating that the sign is a "less than or equal to" sign, but the answer is gonna be either C or D.

8x+12y≤240, or 12y+8x≤240

Answer:

x +y [tex]\leq \\[/tex] 600

Step-by-step explanation:

Answer:

C. Six is to the left of the zero and negative six is to the right.

Step-by-step explanation:

Simple, think of a number line and zero is in the middle, to the left there is positive numbers, like six, and to the right there is negative six.

Answer:

A

Their slopes are negative reciprocals

Answer:60

Step-by-step explanation: x=10

-7+9=2*10=20

-10*10=100

180-100-20=60

Answer:

53 seats per row

Step-by-step explanation:

Given that:

Capacity = 1855

Let number of rows = x

Hence, Number of seats per row = x + 18

The Area of auditorium = capacity

Area of rectangle = Length * width

1855 = x * (x + 18)

1855 = x² + 18x

x² + 18x - 1855 = 0

x² + 53x - 35x - 1855 = 0

x(x + 53) - 35(x + 53) = 0

(x - 35) = 0 or (x +53) = 0

x = 35 or x = - 53

Hence x = 35 ; (x can't be negative)

Number of seats per row = 35 + 18 = 53

Using a quadratic equation cal

9514 1404 393

Answer:

  9, 10

Step-by-step explanation:

It helps if you're familiar with the squares of small integers.

  9^2 = 81

  (√85)^2 = 85

  10^2 = 100

The square root of 85 lies between 9 and 10.

_____

Of course, you can find this answer using your calculator:

  √85 ≈ 9.2195, a number between 9 and 10

Answer:

12/40

Step-by-step explanation:

match the denominators so have 6/30 be multiplies with 40/40 and 12/40 multiplied with 30/30

6/30(40/40) = 240/1200

12/40(30/30) = 360/1200

As we can see, 360/1200 is bigger than 240/1200, therefore 12/40 is bigger

Answer: [tex]\frac{12}{40}[/tex]

Step-by-step explanation:

Hey there!

-If we were to simplify [tex]\frac{6}{30}[/tex] we would be able to simplify it to [tex]\frac{1}{5}[/tex].

-Multiply [tex]\frac{6}{30}[/tex] by 100 and you get 20 .

-Now compare that with [tex]\frac{3}{10}[/tex] which is [tex]\frac{12}{40}[/tex] simplified.

-Multiply [tex]\frac{12}{40}[/tex] by 100 and you get 30.

-We can now tell that [tex]\frac{12}{40}[/tex] is greater than [tex]\frac{6}{30}[/tex].

~I hope I helped :)~

Answer:

The correct options are;

1. Definition of supplementary angles

2. m∠1 + m∠2 = m∠1 + m∠3

3. m∠2 = m∠3

4. Definition of congruent angles

Step-by-step explanation:

The two column proof is presented as follows;

Statement    [tex]{}[/tex]                                      Reason

1. ∠1 and ∠2 are supplementary [tex]{}[/tex]       Given

∠1 and ∠3 are supplementary [tex]{}[/tex]      

2. m∠1 + m∠2 = 180°     [tex]{}[/tex]                      (1) Definition of supplementary angles

m∠1 + m∠3 = 180°

3. (2) m∠1 + m∠2 = m∠1 + m∠3      [tex]{}[/tex]     Transitive Property

4. (3) m∠2 = m∠3     [tex]{}[/tex]                            Subtraction property of equality

5. ∠2 ≅ ∠3     [tex]{}[/tex]                                       (4) Definition of congruent angles

Given that angles ∠1 and ∠2 are supplementary, we have, ∠1 + ∠2 = 180°

Given that angles ∠1 and ∠3 are also supplementary, we also have, ∠1 + ∠3 = 180°

∴ ∠1 + ∠2 = 180° = ∠1 + ∠3

∠1 + ∠2 = ∠1 + ∠3

∠1 + ∠2 - ∠1 = ∠1 + ∠3 - ∠1

∴ ∠2 = ∠3

∴ ∠2 ≅ ∠3, by definition of congruent angles.

Answer:

Quadrant IV..............

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

-4x+5/3

Step-by-step explanation:

-2x+5/6

multiply by 2

-4x+5/3

you can also check by plugging in a number for x and see if the answer is the same.

Answer:

28 minutes

Step-by-step explanation:

4 miles = 45 minutes

4 kilometers = (m) minutes

45 ÷ 4= 11.25

4 kilos= 2.48548 miles

2.48548 x 11.25= 27.96165

m = 28 minutes

- I hope this helps have a great day

John will covers 4 km distance in 28 minutes.

What is Rate of change?

A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.

Here, it is given that John takes 45 minutes to run 4 miles and is known that :

1 mile ≈ 1.61 km

that is for,

4 mile ≈ 6.44 km

John covers 6.44 km in 45 minutes, John will cover 4 km in :

6.44 km ⇒  45 minutes

1 km ⇒ 45/6.44 minutes

4 km ⇒ 4 x (45/6.44) minutes ≈ 28 minutes

Therefore, John will covers 4 km distance in 28 minutes.

Read more about ratio at:

https://brainly.com/question/17869111

#SPJ2

Answer:

SAA

Step-by-step explanation:

there is a side, and vertical angles equal eachother so it would be SAA

Answer:

yes

Step-by-step explanation:

brainiest plz

Step-by-step explanation:

In isoceles triangle two sides are equal and two angles are equal.

Then,

∠R = ∠T = (5x-40)°

Then,

∠RTS + ∠STU = 180° (bcoz it lies on a straight line)

(5x-40) ° + 5x = 180°

10x = 220°

x = 22°

Therefore,

Option A is correct✔

Answer:

C

Step-by-step explanation:

The input is the value of x. Substitute x = 4 into y for output

y = 3(4)² - 2(4) + 5 = 3(16) - 8 + 5 = 48 - 8 + 5 = 45

Thus the output is 45 → C

Im sorry i cant help but if it lets you try to copy paste the question onto whatever you can

Answer:

h = 2

Step-by-step explanation:

-22 = -11h

/-11 /-11

2 = h

hope this helps

Answer:

[tex]h=2[/tex]

Step-by-step explanation:

STEP 1: Rewrite the equation as [tex]-11h=-22[/tex].

[tex]-11h=-22[/tex]

STEP 2: Divide each term by [tex]-11[/tex] and simplify.

[tex]h=2[/tex]

nah buddy

Step-by-step explanation:

Answer:

Viking landers

To date, the Viking landers (1976) were the only spacecraft to conduct experiments looking for life in the Martian soil.

Step-by-step explanation:

brainly?