Lines L and M are parallel.
3/4
2 5
16
38° 7
-L
<-M
:
Find : m_1
Enter the number that
belongs in the green box.
[? ? ]
Enter

Answer:

O y = -3

Step-by-step explanation:

The line is horizontal.

x = -3 and x = 3 are vertical lines, so they are incorrect.

The line passes through (3, -3).

                                         (x ,  y)

Put y as -3.

y = 3

(-3) = 3

Line y = 3 is incorrect.

(-3) = -3

Line y = -3 is correct.

Answer:

O y = -3

Step-by-step explanation:

Equations beginning with 'x=' would form a vertical line, not a horizontal line.

The point (3,-3) would satisfy y = -3.

-3 = -3

O y = -3 should be the correct answer.

Answer:

x  ≥ 17,500

Step-by-step explanation:

To solve this problem, we will follow the  steps below:

let x be the cost of the next year's model

Writing the question in a mathematical format yield

$14,000 ≤ 80% of  x

This implies ;

80% of  x   ≥$14,000

80% ×   x  ≥$14,000

[tex]\frac{80X}{100}[/tex]   ≥  $14,000

multiply both-side of the inequality by 100

[tex]\frac{80X}{100}[/tex]  × 100 ≥  $14,000  × 100

at the left hand-side of the inequality 100 will cancel-out 100 leaving us with just 80x

80x  ≥  $1,400,000

Divide both-side of the equation by  80

80x /80 ≥  $1,400,000/80

x  ≥ 17,500

Answer:

Step-by-step explanation:

Width =w

Length = 2w + 3

Perimeter = 2*(length +width)

                = 2*(2w +3 + w )

                 = 2*(3w + 3)

                = 6w + 6

b) Perimeter = 30 units

6w + 6 = 30    

Subtract 6 form both sides

6w = 30- 6

6w = 24

Divide both sides by 6

6w/6 = 24/6

w = 4

l = 2w + 3

 = 2*4 + 3

 = 8 + 3

 = 11

Length = 11 units

Width = 4 units

Answer:

- x

Step-by-step explanation:

[tex](x + 3)(x - 4) \\ = x(x - 4) + 3(x - 4) \\ = {x}^{2} - 4x + 3x - 12 \\ = {x}^{2} - x - 12 \\ middle \: term \: = - x[/tex]

Answer:

pm/ 100 is answer.

Step-by-step explanation:

here, p% of m

=p/100× m

= pm/ 100 ...is answer.

hope its what you are searching for..

74+x+85+33= 180 (bc the sum of the angles of a triangle is 180º)

192=180-x

192-180=-x

12=-x

-12=x

Answer:

AC = 2.30

Step-by-step explanation:

Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = [tex]\sqrt{3}[/tex].

Since CD ⊥ AB, thus CD divides AB into two equal parts.

From ΔACD, applying the Pythagoras theorem;

[tex]AC^{2}[/tex] = [tex]AD^{2}[/tex] + [tex]CD^{2}[/tex]

      = [tex]1.5^{2}[/tex] + [tex](\sqrt{3}) ^{2}[/tex]

      = 2.25 + 3

      = 5.25

AC = [tex]\sqrt{5.25}[/tex]

     = 2.2913

∴ AC = 2.30

Answer:

B - 150 yd

Step-by-step explanation:

Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; a² + b² = c².

In this case, let's label the the missing side A, the height B, and the hypotenuse C.

X² + 15² = 25²

Then you must figure out what 15² and 25².

15² = 225

25² = 625

The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².

625 - 225 = 400.

Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.

√400 = 20.

The missing length of the triangle is 20 yards.

Now it's just a matter of finding the area by using the formula;

A = [tex]\frac{bh}{2}[/tex]

Or,

(20 × 15) ÷ 2 = 150.

And there's your answer. Don't forget to add the units.

Step-by-step explanation:

-|2x+3|=1

-|2x+3|/-1=1/-1

|2x+3|=-1

2x=-1-3

2x=-4

2x/2=-4/2

x= -2

Answer:

A

Step-by-step explanation:

Let width  =w in

Length = 3w - 2 in

Perimeter of rectangle = 36 inches

2* (length + width ) = 36

2*(3w -2 + w) = 36

2* (4w -2 ) = 36

2*4w - 2*2 = 36

8w - 4 = 36

Add 4 to both sides

8w - 4 + 4 = 36 +4

           8w = 40

Divide both sides by 8

8w/8 = 40/8

w = 5

Width = 5 in

Answer:

PARALLELOGRAM have 2 pairs of congruent angles

Step-by-step explanation:

QUADRILATERALS have one pair of parallel lines. If it has two sets, it NOW become a PARALLELOGRAM.

The statement first is All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.

A figure enclosed by the four sides and the sum of all the angles are equal to 360.

Properties of a quadrilateral are:-

A quadrilateral has four sides (edges)

A quadrilateral has four vertices (corners)

A quadrilateral has interior angles that add to 360 degrees:

Types of quadrilateral are square, rectangle, rhombus, trapezoid, and parallelogram.

So here  All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.

To know more about Quadrilaterals follow

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Answer:

33.33 %

Step-by-step explanation:

Difference:

=> 27 - 18 = 9

%age Increase:

=> [tex]\frac{9}{27} * 100 %[/tex]

=> 33.33 %

Answer:

33.3 %

Step-by-step explanation:

Answer:

x> 3       and       x    <5

OR

3 < x <5

Step-by-step explanation:

To solve the compound inequality, we will follow the steps below:

We will first break it into two inequalities.

That is;

5 < 2x - 1<9

5 < 2x - 1     AND         2x - 1<9  

Then we will solve separately

5 < 2x - 1

add 1 to both-side of the equation

5 +1  < 2x - 1 +1

6   < 2x

Divide both-side of the inequality by 2

6 /2  < 2x/2

3 < x

x>3

we will now solve the other inequality

2x - 1<9  

add 1 to  both-side of the equation

2x - 1+1<9 +1

2x <   10

divide both-side of the inequality by 2

2x /2<   10/2

x < 5

Therefore  x> 3       and       x    <5

or

3 < x <5

Answer:

[tex]x = (5 \: . \: 3)[/tex]

Step-by-step explanation:

To solve a compound inequality, seperate it into two inequalities:

[tex]2x - 1 > 5 \\ 2x - 1 < 9[/tex]

Solve the inequality for x:

[tex]x > 3 \\ 2x - 1 < 9[/tex]

Solve the inequality for x:

[tex]x > 3 \\ x < 5[/tex]

Find the intersection:

[tex]x = (5 \: . \: 3)[/tex]

Hey there! :)

Answer:

a) Blue.

b) 1/2.

Step-by-step explanation:

Find the probabilities for each color:

Blue: 1/8

Yellow: 3/8

Green: 4/8 or 1/2

a) The color that the spinner is the least likely to land on has the smallest probability, which in this instance, is blue.

b) The probability of the spinner landing on green can be determined by:

# of green sections /total

Therefore:

4 / 8

Simplify the fraction:

4 / 8  = 1 / 2.

Answer:

a) Blue

b) 1/2

Step-by-step explanation:

a) The colors on the spinner are blue (B), green (G), and yellow (Y).

(B) = 1/8

(G) = 4/8

(Y) = 3/8

The spinner is least likely to land on the color blue.

b) The probability that the spinner lands on the color green is 4/8. The spinner has 8 equal sections, 4 of the sections are green.

4/8 can be simplified to 1/2.

Answer:

6/7 ÷ 3/14

= 6/7 × 14/3

= 2/7 × 14           (we cancelled 3 with 6)

=  2×2                (we cancelled 7 with 14)

= 4

hope it helps

Step-by-step explanation:

Answer:

[tex]\frac{6}{7} / \frac{3}{14} = \frac{6}{7} x \frac{14}{3} = (6)(14) / (7)(3) =\frac{84}{21} = 4[/tex]

Step-by-step explanation:

Hope this helps you!! ( BTW this means / Divide ).

Answer:

all real numbers less than or equal to 4

which agrees with the first answer option listed

Step-by-step explanation:

The parabola opening down means that its two branches go on towards negative values with no limit. The maximum y-value that this parabola can reach is therefore the y-value of its vertex which is 4, given that the vertex coordinates are (3, 4).

Therefore, the Range of y-values can have any real number that is smaller than or equal to 4

Answer:

  all real numbers less than or equal to 4

Step-by-step explanation:

The leading coefficient is negative, so the vertex is a maximum. The y-value of the vertex (4) is the upper limit of the range.

The range is all real numbers less than or equal to 4. (first choice)

Answer:

the interest is 5.42

Step-by-step explanation:

Answer:

Interest = 5.42

Step-by-step explanation:

answer

2.5 x-0.6=4.9

Step-by-step explanation:

The height of a window is 0.6 feet less than 2.5 times its width.

If the height of the window is 4.9 feet.

Substitute in [1] we have;

2.5x-0.6 = 4.9

Therefore,  an equation can be used to determine x, the width of the window is, 2.5x-0.6 = 4.9

Answer:

Or B

Step-by-step explanation:

for those you look for letters only

Answer:

-2n + 6

Step-by-step explanation:

When we simplify the equation, we add like terms. 5n - 7n is 2n and 6 doesn't have anything to add/subtract to, so we have -2n + 6

Answer:

1/36

Step-by-step explanation:

If a cube rolls and it landed on one it’s 1/6 if u rolled he same cube and got one too then it’s still 1/6 so now u just multiply them

Hope this helps

Answer:

1/36.

Step-by-step explanation:

Each event of a die being rolled is an independent event, which means that each time you roll the die does not affect the next time you roll it.

The probability of getting a 1 on the first roll is going to be 1/6, since there is only one 1 on the 6-sided die.

The probability of getting a 1 on the second roll is also going to be 1/6, for the same reason.

So, if both rolls are going to be 1s, the probability that will happen is (1/6) times (1/6), which is 1/36.

Hope this helps!

Answer:

c

Step-by-step explanation:

4x^2(6x^2-3x)

=24x^4-12x^3

Answer: C. 24x⁴ - 12x³

Step-by-step explanation:

The area of a rectangle is length × width.

4x² × (6x²– 3x) to answer this, we multiply 4x² for each term inside the parentheses.

4x² × 6x² = 24x⁴    (4 × 6 = 24 and x² × x² = x⁴)

4x² × -3x = -12x³    (4 × -3 = -12 and x² × x = x³)

So the answer is 24x⁴ - 12x³

This question bus incomplete because it lacks the appropriate options.

Complete Question

The total cost of a new calculator is

$81.05. This price includes a 10% student discount. Followed by a 6.5% sales tax. What was the original price of the calculator, not including the tax or the discount?

A. $77.69

B. $83.99

C. $78.80

D. $84.56

Answer:

D. $84.56

Step-by-step explanation:

From the question, we are given the following values

Total cost of a new calculator = $81.05

Student discount = 10%

Sales tax = 6.5%

The formula to use is

Total price = Original price ( 1 ± r)

Where r = rate of the discount or sales tax

Step 1

Find the original price of the calculator without the discount

Because we are calculating using discount we are using the minus sign

Total price = $81.05

r = 10% = 0.1

Total price = Original price ( 1 - r)

$81.05 = Original price (1 - 0.1)

$81.05 = Original Price × 0.9

Original price = $81.05÷ 0.9

= $90.055555556

Approximately, the original price without the 10% discount is $90.06

Step 2

Find the Original price without the sales tax

Because we are calculating using sales tax we are using the plus sign

Total price = $90.06

This is because the Original price without the discount = Current total price with sales tax for step 2

r = 6.5% = 0.065

Total price = Original price ( 1 + r)

$90.06 = Original price (1 + 0.065)

$90.06 = Original Price × 1.065

Original price = $90.06÷ 1.065

= $84.563380282

Approximately, the original price without the 10% discount and 6.5% sales tax is $84.56

Answer:

22.4 cm

Step-by-step explanation:

Given

r = 10 cm

θ = 135°

Perimeter of sector is:

P = 2r + 2πr(θ/360)

P = 2*10 + 2(3.14)(135/360) = 22.4 cm (rounded)

Answer:

question 3: 1/3 question 4: 5/7 question 5: 2/3

Answer:

1/3

5/7

2/3

Step-by-step explanation:

The numbers greater than 4 on a fair dice are 5 and 6.

2 numbers out of 6 or 2/6

2/6 = 1/3

Total parts = 7 + 12 + 18 + 5 = 42

12 are orange marbles.

42 - 12 = 30

30 marbles are red, yellow, and purple.

30/42 = 15/21 = 5/7

The numbers greater than 2 on a fair dice are 3, 4, 5, and 6.

4 numbers out of 6 total numbers.

4/6 = 2/3

Answer:

Its C

Step-by-step explanation:

The statement which best describes what is happening in section C is His car is slowing down.

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

The graph is attached below.

There are 4 sections on the graph.

In the section A, the car is speeding up since the speed is increasing as the time increases.

In the section B, the speed is constant as the time increases. This means his car is traveling at a constant speed.

In the section C, speed is decreasing with time. So the car is slowing down.

In the section D again the car travels at a constant speed.

Hence in section C, car is slowing down.

Learn more about Speed here :

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Answer:

See below,

Step-by-step explanation:

Input         Output

B    H       Perimeter (2B + 2H)

3      1             8

5      3           16

14    12          52

I hope this helps.

Answer:

Car 1 consumes 30 gallons of gas.

Car 2 consumes 20 gallons of gas.

Step-by-step explanation:

Answer:

A

Step-by-step explanation: