58 children are taking a bus to the zoo 2 children sit in every seat how many seats will the children need in all

(Question 1)

A pair of angles formed by two parallel lines and a transversal are said to be the corresponding angles.

Corresponding angles are formed only when,

The pairs of Corresponding Angles in the given figure are —

You can write any two of them because the question says to write any two Corresponding Angles.

(Question 2)

Alternate angles that lie in the interior region of both the lines are called alternate interior angles. 

Alternate Interior Angles are formed only when,

The pairs of Alternate Interior Angles in this given figure are —

These are the only two pairs of Alternate Interior Angles.

(Question 3)

Alternate angles that lie in the exterior region of both the lines are called alternate exterior angles. 

Alternate Exterior Angles are formed only when,

The pairs of Alternate Exterior Angles in this given figure are —

These are the only two pairs of Alternate Exterior Angles.

(Question 4)

In this given Figure, Line segment AB is parallel to Line segment CD.

∠1 = 154°   [Alternate Interior Angles]

∠2 = 180 - 154°   [Linear Pair]

     = 26°

(Question 5)

In this given Figure, Line segment AB is parallel to Line segment CD.

∠1 = 97°   [Corresponding Angles]

∠2 = 82°   [Corresponding Angles]

∠3 = 180 - 97°   [Linear Pair]

    = 83°

Hope my answer helps you ✌️

Mark BRAINLIEST

Answer:17.6

Step-by-step explanation:

If 60% was taken off then what woold be left would be 40%. 40% translated into a decimal is 0.4 if you multiply that by 44 you would get the answer of 17.6.

Answer: $17.6

Step-by-step explanation:

100%-60%=40%. 40/100=0.4 and then you multiply 0.4x44=17.6. The price is now $17.6

Answer:

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Therefore, we can set up an equation using the measures of the angles in triangle ABC:

ZABD + CBD + ABC = 180

Substituting in the given measures, we get:

(0.12x + 64) + (0.13x + 28) + ABC = 180

Simplifying and solving for x, we get:

0.25x + 92 + ABC = 180

ABC = 180 - 0.25x - 92

ABC = 88 - 0.25x

We know that the measure of angle ABC is 0.11x + 12. Substituting this into the equation for ABC, we get:

0.11x + 12 = 88 - 0.25x

Solving for x, we get:

0.36x = 76

x = 211.11

Therefore, the value of x is approximately 211.11.

Answer:

x = 352

Step-by-step explanation:

From the given Linear Pair, we can observe that ∠ABD and ∠CBD form a Straight Angle which is 180°.

∠ABD = 0.12x + 64°

∠CBD = 0.13x + 28°

Now we can understand that ∠ABD + ∠CBD = ∠ABC (Linear Pair)

∠ABC = 180°

So, ∠ABD + ∠CBD = 180°

(0.12x + 64°) + (0.13x + 28°) = 180°

(0.12x + 0.13x) + (64° + 28°) = 180° (Distribution Property)

0.25x + 92° = 180°

0.25x = 180° - 92°

0.25x = 88°

x = 88/0.25

x = 352

Hope my answer helps you ✌️

Mark BRAINLIEST

Answer:0.75x+9.75

Step-by-step explanation:

First, you will have to distribute (multiply) the 0.75 to both the s and 13 inside the parenthesis which would get you 0.75x+9.75

Mrs. Carter can cut 10 pieces of 0.5-meter-long ribbon from 5 meters of ribbon.

Here's how you can calculate it:

- Divide the length of the ribbon by the length of each piece: 5 ÷ 0.5 = 10.

- Therefore, Mrs. Carter can cut 10 pieces of 0.5-meter-long ribbon from 5 meters of ribbon.

Answer:

10 pieces

Step-by-step explanation:

You take the total (5 meters) and divide it by the length she needs (0.5 meters) to get 10

Answer:

30

Step-by-step explanation:

3x+ 10= 100

-10           -10

3x=90

divide both sides by 3 nd you get 30

Answer: Y

Step-by-step explanation:

Remember: 1 yard = 3 feet. Consider this for all the choices!!

W starts at (0, 1) making it automatically incorrect as 0 yards cannot equal a foot, it equals zero feet.

X has a point marked (1, 0) making it automatically incorrect as 1 yard does not equal to 0 feet.

Z starts with the point (0, 3) making it automatically incorrect as 0 yards cannot equal 3 feet,

Y does not have any incorrect points, and properly illustrates that 1 yard is equal to 3 feet with the points provided, Y is correct

Answer: Y

Step-by-step explanation: because 1 x 12 is 12 and 2 x 12 is 24

Let's first find the total cost of the text messages Craig can send in a month. Craig is allowed to send 450 text messages without any additional charges. If he sends more than that, he will be charged $0.25 per message. Let's say he sends x additional messages over the 450 allowed:

Cost of additional messages = $0.25 * x

So, the total cost of Craig's text messages in a month is:

Total cost = Cost of allowed messages + Cost of additional messages

Total cost = $0 + $0.25x

Total cost = $0.25x

We know that Craig has a budget of $26 for his cell phone bill. We can set up an equation to represent this:

Total cost ≤ $26

Substituting the expression for the total cost of Craig's text messages, we get:

$0.25x ≤ $26

Dividing both sides by $0.25:

x ≤ 104

Therefore, Craig can go over the allowed amount by at most 104 text messages without breaking his budget of $26.

Answer: he can go over by 104

Step-by-step explanation:Total cost = $0 + $0.25x

Total cost = $0.25x

Total cost ≤ $26

Substituting the expression for the total cost of Craig's text messages, we get:

$0.25x ≤ $26

Dividing both sides by $0.25:

x ≤ 104

Therefore, Craig can go over the allowed amount by at most 104 text messages without breaking his budget of $26.

have a good day

Answer:

The value of x is 21

Step-by-step explanation:

2x+21 is a linear equation with one unknown, x. To solve for x, we can use the following steps:

1. Subtract 21 from both sides of the equation. This will isolate x on the left-hand side of the equation.

```

2x+21 - 21 = x

```

2. Divide both sides of the equation by 2. This will divide both sides of the equation by 2, which will cancel out the 2 on the left-hand side of the equation, leaving x by itself.

```

x = (2x+21)/2

```

3. Simplify the right-hand side of the equation.

```

x = x/2 + 21/2

```

4. Combine like terms on the right-hand side of the equation.

```

x = (1/2)x + 21/2

```

5. Subtract (1/2)x from both sides of the equation. This will isolate x on the left-hand side of the equation.

```

x - (1/2)x = (1/2)x + 21/2 - (1/2)x

```

6. Simplify the right-hand side of the equation.

```

(1/2)x = 21/2

```

7. Multiply both sides of the equation by 2. This will multiply both sides of the equation by 2, which will cancel out the (1/2) on the left-hand side of the equation, leaving x by itself.

```

2*(1/2)x = 21/2 * 2

```

8. Simplify the right-hand side of the equation.

```

x = 21

```

Therefore, the value of x is 21.

y should increase by five every time

5x is just a multiple 5 but without knowing how many tines your multiplying. Now we know that x increases by 1 each time, so it should just be normal multiplying. 5(1) = 5, 5(2) = 10, 5(3) = 15 and so on. It's a constant increase of 5.

Answer:324

Step-by-step explanation:

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Answer:

The retail price is $17 × 1.3 = $22.10.

Answer:

Step-by-step explanation:

no picture

Answer: It's 7

Step-by-step explanation: Since all the sides are the same and it says JK is 7 inches HL must also be 7 inches.

Hope It helped!

Let x be the number of pounds of candy that sells for $1.25 per lb that we need to mix, and let y be the number of pounds of candy that sells for $0.75 per lb. We can set up a system of equations to represent the problem:

x + y = 20 (we need a total of 20 pounds of candy in the mixture)

1.25x + 0.75y = 1.20(20) (the value of the mixture should be $1.20 per lb)

Simplifying the second equation, we get:

1.25x + 0.75y = 24

Multiplying the first equation by 0.75 and subtracting it from the second equation, we can eliminate y:

1.25x + 0.75y = 24

0.75x + 0.75y = 15

0.5x = 9

Dividing both sides by 0.5, we get:

x = 18

Therefore, we need 18 pounds of candy that sells for $1.25 per lb and 2 pounds of candy that sells for $0.75 per lb to make a 20-pound mixture that sells for $1.20 per lb.

Answer:

Price per large envelope = $1.42 (option A)

Price of each postcard = $0.35 (not asked for in this specific question)

Step-by-step process for solution given below

Step-by-step explanation:

The first thing to do for this problem and other similar problems is to set up the system of linear equations to be solved

We start with the unknowns and provide variable names for these unknowns

There are two unknowns here - the cost of each postcard and the cost of each large envelope

Let
x = cost of one postcard

y = cost of one large envelope

Customer 1 bought 14 postcards(cost = 14x) and 5 envelops(cost = 5y) for a total cost of $12

We can set up this as an equation:
12x + 5y =  12    ............ [1]

Customer 2  bought 10 postcards(cost = 10x) and 15  envelops(cost = 15y) for a total cost of $24.80
This translates to the following equation:
10x + 15y = 24.80 .... [2]

Let's re-write these equations one below the other for easier solution:

[tex]\begin{amatrix}14x+5y=12\dots[1]\\ 10x+15y=24.8\dots[2]\end{amatrix}[/tex]

Solving by substitution:
From any one of the above equations, express one variable in terms of the other variable and substitute for that variable in the other equation to solve.

Take equation [1]
[tex]14x+5y=12[/tex]

Let's express x in terms of y.

Move 5y to the right:
[tex]14x=12-5y[/tex]

[tex]x =\dfrac{12-5y}{14}[/tex]

Use this expression in y for x in equation [2]

[tex]10x + 15y = 24.8\\\\\implies 10 \cdot \dfrac{12-5y}{14}+15y=24.8\\\\\implies \dfrac{\left(12-5y\right)\cdot \:10}{14} + 15y = 24.8\\\\\implies \dfrac{\left(12-5y\right)\cdot \:10}{14} + 15y = 24.8\\\\[/tex]

Multiply throughout by 14:
[tex]14 \cdot \dfrac{\left(12-5y\right)\cdot \:10}{14} + 14\cdot 15y = 14 \cdot 24.8\\\\(12-5y)10 + 210y = 347.2\\\\120 - 50y + 210y = 347.2\\\\120 + 160y = 347.2\\\\160y = 347.2- 120\\\\160y = 227.2\\\\y = \dfrac{227.2}{160}\\\\y = 1.42[/tex]

Substitute y = 1.42 in equation [tex]x=\dfrac{12-5y}{14}[/tex]
[tex]x=\dfrac{12-5\cdot \:1.42}{14}\\\\x = 0.35\\\\[/tex]

So the cost of each large envelope was $1.42 and cost of each postcard was $0.35

Answer is option A

Solve by elimination

The idea here is to get the coefficients of one of the variables the same in both equations by multiplying / dividing one or both of the equations by some factor and then add/subtract to isolate the other variable and solve

For equations 1 and 2 do the following

Subtract the equations:
[tex]70x+105y=173.6\\-\\70x+25y=\;\;\;\;\;60\\\\[/tex]
-------------------------------
[tex]80y=113.6[/tex]

y = 113.6/80 = 1.42 as before

Substitute for y in equation 1 and solve for x
14x + 5y = 12 => 14x + 5(1.42) = 12

=> 14x + 7.1 = 12

=> 14x = 12 - 7.1

=> 14x = 4.9

=> x = 4.9/14 = 0.35 as before

I personally prefer solving by elimination since solving by substitution involves heavy duty fractional expressions

Answer:  21.4 pounds

Step-by-step explanation:

To calculate the amount of weight that is made up of body fat, you need to multiply the weight by the body fat percentage.

Weight of body fat = 162 pounds x 13.2% = 21.384 pounds

Then, round it to the nearest tenth which is,  21.4

Therefore, approximately 21.4 pounds of the individual's weight is made up of body fat.

Answer: 21.4 lb

Step-by-step explanation:

The question is asking how much weight consists of body fat.

We know that 13.2% of the total weight is body fat, and the total weight is 162 pounds.

Multiply to find out the body fat weight.

Percentage as a decimal over 1 * 162

0.132 * 162 = 21.384 lb

Round to nearest tenth: 21.4 lb

Answer: B

Step-by-step explanation:

The angles of a regular hexagon are all equal.

Answer: Your answer will be B) 120°

Step-by-step explanation: All the sides of a hexagon are the same so it's the same as the other degree.

Answer:

138

I hope i was able to help u,if i was ,please mark me brainliest pls

Answer:

138. Steps are shown above.

Answer:

θ =  23.9°

Step-by-step explanation:

tan θ = 23/52

θ = arc tan (23/52)

=23.86°

= 23.9° to one decimal place

Answer:

To find the x-intercept, substitute in

0 for y

and solve for x. To find the y-intercept, substitute in

0 for x

and solve for y.

x-intercept(s): (−5,0)

y-intercept(s): (0,10)

Step-by-step explanation:

90 30 + 50 +(2x+10)=90

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x+16\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{1}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{1} \implies -3}}[/tex]

so we're really looking for the equation of a line whose slope is -3 and it passes through (-9 , 13)

[tex](\stackrel{x_1}{-9}~,~\stackrel{y_1}{13})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{13}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-9)}) \implies y -13 = - 3 ( x +9) \\\\\\ y-13-3x-27\implies {\Large \begin{array}{llll} y=-3x-14 \end{array}}[/tex]

Answer:

m = 1/3

m⊥ = -3

x1 = -9

y1 = 13

point slope: y-13 = -3(x+9)

slope intercept: y= -3x-14

Step-by-step explanation:

Equation given is in y=mx+b form, so I think m=1/3 (or whatever is right before the x cause it is little hard to see)

To find a perpendicular slope, you use the negative reciprocal of the given slope, so the perpendicular slope would be m=-3

x1 and y1 would be the given coordinates so -9 and 13 respectively

Finally plug in all this info into point slope form equation (y-y1 = m(x-x1)

Point slope would be: y-13 = -3(x+9)

Slope intercept would be: y= -3x-14

Hope this helps!

Answer: 350

Step-by-step explanation:

Divide it by the centimeter

Answer:

350  (*^▽^*)

Step-by-step explanation:

Answer: 540 degrees! :D

Step-by-step explanation:

So you can see, there is a little angle on the inside of the pentagon already. How many letters are there on each of the little corners? 5.

You would multiply 108 times 5. That comes out to 540 degrees!

Hope this helps! :)

Answer: It's B) 540°

Step-by-step explanation: I just multiplied 108 by 5 since there are 5 angles on that pentagon.

Hope It Helped! :D