Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure
of one of the angles formed is 72°, what are the measures of the other three angles? Explain

in slope intercept form:

y=mx+b.

slope of line:

-3/4

y intercept:

(0, 5/2)

Answer:

a = 6

Step-by-step explanation:

Hello!

First, let's isolate the Absolute Value bracket.

Based on the definition of Absolute value, the outcome should always be a positive number. Therefore, if the product, 4 - a, is a negative number, it will have no solutions.

That means a has to be greater than 4 for it to be negative. a should be 6.

a = 6

Answer:

60000 cm squared 600 dm squared or 60 cm squared

Step-by-step explanation:

Answer:

1.1n represents the cost of the pencils

1.7m is the cost of the pads of paper

The expression represents that she bought a package of pencils and a pad of paper

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{3x - 5}{4} \leq1[/tex]

[tex]3x - 5 \leq1 .4[/tex]

[tex]3x - 5 \leq4[/tex]

[tex]3x \leq4 + 5[/tex]

[tex]3x \leq9[/tex]

[tex]x \leq \frac{9}{3} [/tex]

[tex]x \leq3[/tex]

x = {3,2,1,0,...}

Answer:

cool hahahahhahahahahaha ano to app nato

Answer:

99 x 78 = 7722

+ 33

= 7755

x 66

By graphing the equation y = 0.2x, we find that x is equal to -10 when y is -2, x is equal to 0 when y is 0, and x is equal to 10 when y is 2.

To graph the equation y = 0.2x, we can plot a few points and then connect them to create the line.

Let's calculate the corresponding values of x when y takes on the values of -2, 0, and 2:

When y = -2:

-2 = 0.2x

x = -2 / 0.2

x = -10

When y = 0:

0 = 0.2x

x = 0 / 0.2

x = 0

When y = 2:

2 = 0.2x

x = 2 / 0.2

x = 10

Using these values, we can plot the points (-10, -2), (0, 0), and (10, 2) on the coordinate plane. Drawing a line passing through these points, we obtain the graph of the equation y = 0.2x.

The graph will be a straight line that passes through the points (-10, -2), (0, 0), and (10, 2). The line will have a positive slope, indicating that as x increases, y increases at a slower rate.

The graph visually represents the relationship between x and y according to the equation y = 0.2x. It shows that for every increase of 1 unit in x, y increases by 0.2 units.

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Answer:

6.21 × 10⁵

Step-by-step explanation:

move thee decimal from .21000 thats how you get 5

The Average Rate of change of a function f on the interval [a , b] is given by

[tex]r=\frac{f(b) - f(a)}{b-a}[/tex]

Now, the given interval is [1, 5]

⇒ b=5 and a = 1

Since, the graph passes through (1, 3) and (5, 5)

⇒ f(1) = 3 and f(5) = 5

Thus,

[tex]r=\frac{f(5) - f(1)}{5-1}[/tex]

[tex]r=\frac{5- 3}{4}[/tex]

[tex]r=\frac{2}{4}[/tex]

[tex]r=\frac{1}{2}[/tex]

[tex]r=0.5[/tex]

∴ The Average Rate of change of the graph is equal to 0.5

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All rhombus are parallelograms, parallelogram have exactly two pairs of parallel lines, therefore all rhombus have exactly two pairs of parallel lines, so option A is correct.

A unique kind of quadrilateral created by parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but for it to be a parallelogram, its opposite sides must be parallel.

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. Every rhombus is a parallelogram because its opposite sides are all parallel. But all parallelograms cannot be rhombus as a rhombus have all sides equal.

Both a square and a rhombus have equal numbers of sides. The square's diagonals are also perpendicular to one another and divide the opposing angles. A square is a rhombus as a result.

Thus, all rhombus are parallelograms as they have one pair of parallel sides.

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Answer:

- 6x² + 8x

Step-by-step explanation:

- 2x(3x - 4) ← multiply each term in the parenthesis by - 2x

= - 6x² + 8x

The ages of Wilson, Randy and Greg given their total ages is 7, 10 and 15 years respectively.

This means that the total ages of Wilson, Randy and Greg is 7 years, 10 years and 15 years.

Let's represent the information above as follows:

The total ages = Wilson + Randy + Greg

That is, Wilson's age, Randy's age and Greg's ages is given as:

32 = x + (x + 3) + (x + 3) + 5

32 = x + x + 3 + x + 3 + 5

32 = 3x + 11

32 - 11 = 3x

21 = 3x

x = 21/3

x = 7 years

Therefore, from the calculations above,

Wilson's age = x

= 7 years

Randy's age = (x + 3)

= 7 + 3

= 10 years

Greg = (x + 3) + 5

= (10) + 5

= 15 years

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Answer:

There will be 18 boys.

Step-by-step explanation:

im assuming you are looking for how many boys are left,I did 60% by 30 = 18

Answer:

there are 18 girls

Step-by-step explanation:

one really cool trick is the total like 30 x 0.60 this will give you the percentage

The length of the diagonal AC can be calculated using equations:

= √(64 + W²).

The correct option is B.

The Pythagorean theorem states that the total of the squares upon that legs of a right triangle equals the square upon that hypotenuse (the side opposite this same right angle)—or, in popular algebraic notation:

a² + b² = c².

The length of the rectangle = 8

The width of the rectangle = w

The hypotonus of the rectangle = p

Using the Pythagoras formula:

P² = L² + W²

P = √(L² + W²)

Putting the value of Length = 8

P = √(8² + W²)

P = √(64 + W²)

The length of the diagonal AC can be calculated using equations:

= √(64 + W²).

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The number of hours needed for the second press to complete the job is 3 hours.

An equation represents the relationship of two expressions on either side of the sign

Given that together they can complete a job in 2 hours and one takes 6 hours to complete the work alone.

If we let x = amount of time required for the second press to complete the job alone

We can write as:

Second press work = 1/x of the job per hour.

First press work = 1/6 of the job per hour.

Together work = 1/2 of the job per hour.

We can write the equation as:

1/6 + 1/x = 1/2

1/x = 1/2 - 1/6

1/x =  (3 - 1)/6

1/x = 2/6

1/x = 1/3

x = 3

Thus number of hours needed for the second press to complete the job is 3 hours.

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The value of angle B is 69°.

It should be noted that the sum of a complementary angle is 90°.

Therefore, the value will be:

x + 13 + 7x + 13 = 90

8x + 26 = 90

Collect like terms

6

8x = 90 - 26

8x = 64

Divide

x = 64/8

x = 8

Angle B = 7x + 13

= 7(8) + 13

= 56 + 13

= 69

Angle B is 69°.

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Answer:

1; 1

2:3

3:9

4:27

5:81

6:243

7:729

8:2,187

9:6,561

10:19,683

11:59,049

12:177,147

Answer:

2.1/5

3.7/5

4.7/20

Step-by-step explanation:

2.1/5

3.7/5

4.7/20

Greetings from Brasil...

A - fraction addition/subtraction with equal denominators = keep the denominator and add/subtract only the numerators

B - fraction addition/subtraction with different denominators = we have to use LCM

2)

(10/15) - (7/15) - case A

(10 - 7)/15 = 3/15

3)

(8/10) + (3/5) - we can simplify the first fraction

(8/10) + (3/5) = (4/5) + (3/5) = (4 + 3)/5 = 7/5

4)

(3/4) - (2/5) - case B

LCM 4 and 5 = 20

(3/4) - (2/5) = 7/20

2(x+1)+4

Distributive property : According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

solve equation by using distributive property we should use laws of this property that are as follows:

Expand the equation. Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set. Combine like terms.

2(x + 1) + 4 = 8

2(x)+2(1)+4=8

2x+2+4=8

2x+6=8

2x=8-6

2x=2

x=2/2

x=1

so final conclusion is Option A  2(x+1)+4=8 is the right answer

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Answer:

20

Step-by-step explanation:

The total fare, f, is:

f = 2.25x + 3

We want to solve for x. the number of miles. This is fairly simple if we know f.

48 = 2.25x + 3
48 - 3 = 2.25x + 3 - 3
45 = 2.25x
45/2.25 = 2.25x/2.25
20 = x

========================================================

Explanation:

We have these points

Focus on the x coordinates for now.

The x coordinates of A and B are -3 and x in that order. Add them up and divide in half to get the x coordinate of the midpoint M

(-3+x)/2 = 1

-3+x = 2*1

-3+x = 2

x = 2+3

x = 5

Repeat for the y coordinates

(6+y)/2 = 2

6+y = 2*2

6+y = 4

y = 4-6

y = -2

Therefore, the location of point B is (5, -2)

You can use a tool like GeoGebra to check your work.

The coordinates of point T is (9,-2)

Given that A is the midpoint of segment ST. midpoint A has coordinates (7,-1) and point S has coordinates ( 5,0 ) and asked to find the coordinates of the point T

Let's assume the  coordinates of the point T as(a,b)

Midpoint formula for a line segment having endpoints (x1,y1) and (x2,y2)

Let's assume the midpoint as (X,Y)

(X,Y)=([tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex])

Here the endpoints of the linesegment ST are S(5,0) and T(a,b) and the midpoint of the linesegment ST is A and has coordinates (7,-1).

⇒(7,-1)=([tex]\frac{5+a}{2}[/tex],[tex]\frac{b}{2}[/tex])

⇒7=[tex]\frac{5+a}{2}[/tex]⇒14=5+a⇒a=9

⇒-1=[tex]\frac{b}{2}[/tex]⇒b=-2

Therefore,The coordinates of point T is (9,-2)

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For the given question;

The total number of school students = 4000.

Percentage student of boys; 40%.

Thus the percentage of girls; 100 - 40 = 60

Thus, the total percentage of girls are 60%.

For finding the number of girls find the 60% of the total school students.

= 60% of 4000

= 60% × 4000

= (60×4000)/100

= 60×40

= 2400

Thus, the number of school girls are 2400.

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Step-by-step explanation:

work is shown and pictured

Answer: 3

Step-by-step explanation:

3 * 3 * 3 = 27

Answer:

3

Step-by-step explanation:

The expression is cube root.

The root function essentially wants to find a number that when multipled n times will give the input to the function.

In this case n = 3

We need a number when multiplied by itself 3 times will give us 27.

In other words we need [tex]x^{3}[/tex] = 27

If u rearrange u simply get the expression given and u can solve simply by way of calculator.

Answer:

-3 X (x^2 - 8)

Step-by-step explanation:

put "the square of a number decreased by 8" in parentheses so when -3 is multiplied with that, it does not get multiplied with y^2 and -8.

anytime you see "a number" in a sentence, put it as a random variable, in this case, I decided it should be "x".