URGENT HELP PLEASE!!! In the figure below, FG=6 and GH=8. Find FH.

Answer:

a). 14 hours a week

b). 10.5 hours a week

Step-by-step explanation:

His time = 42 hours a week

Quarter of his time = one fourth of his time.

Third of his time = one third of his time

So, for dealing with complaints:

42h * 1/3 = 42h / 3 = 14h

On the phone:

42h * 1/4 = 42h / 4 = 10.5h

Answer:

a) 14 hours

b) 10.5 hours

Step-by-step explanation:

42 hours = 1 week

a) 1/3 hours a week dealing with complaints

[tex]\frac{1}{3} *\frac{42}{1} = \frac{42}{3} = 14[/tex]

He spends 14 hours a week dealing with complaints.

b) 1/4 hours a week on the phone

[tex]\frac{1}{4} * \frac{42}{1} = \frac{42}{4} = \frac{21}{2} = 10.5[/tex]

He spends 10.5 hours a week on the phone.

According to the question, the given inequality interval expression can be represented is as follows:

In the expression of interval that is [5,♾). The left hand side contain square brackets and the right side bracket contains infinity.

Therefore, the interval contains the numbers which tells the starting point and the endpoint. In this, the interval starts from the point 5 and it takes infinite values on the line graph.

What is interval?

Interval contains all the numbers between the two given number in the intervals. The two numbers represent the starting coordinate point and the endpoint. There are different ways to show intervals. Some of the ways are inequality, number line, etc.

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Using substitution method, the solution of the given system of equations is (2,3)

A system of equation can be solved using:

The given system of equations:

5m - n = 7  ............   (1)

3 + 3n = 6m  .............. (2)

In equation (1), subtract 5m from both sides:

5m - n - 5m = 7 - 5m

-n = 7 - 5m

Multiply by (-1)

n = 5m - 7  ...... (3)

Substitute  n = 5m - 7 into equation (2)

3 + 3n = 6m

3 + 3(5m - 7) = 6m

15m -18 = 6m

9m = 18

m = 2

Substitute back m = 2 into equation (3)

n = 5m - 7

n = 5.(2) - 7 = 3

Hence, the solution is (2, 3)

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y-3=4 x is in point-slope form, it is neither in slope-intercept form nor standard form.

A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.

The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.  

Therefore,

m =  y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.

Be aware that tan ∅ = y/x

We also refer to this tan as the line's slope

We know that  point-slope form = y₂ - y₁ = m(x₂ - x₁)

the equation looks like this in point-slope form ⇒ y-2= 4(x-0)

Here, the points are (x, y) and the points the line is passing through is

(0, 2)

y-2= 4(x-0) is in point-slope form, it is neither in slope-intercept form nor  standard form.

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The statement " The distance from point X to line q is the length of the segment perpendicular to line q from X" is true

Given,

The statement "The distance from point X to line q is the length of the segment perpendicular to line q from X "

From the figure we can say that the distance from point X to line q is the length of the segment perpendicular to line q from X.

So the given statement is true

Hence, the statement " The distance from point X to line q is the length of the segment perpendicular to line q from X" is true

The complete question is:

State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.

The distance from point X to line q is the length of the segment perpendicular to line q from X .

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Answer:

D

Step-by-step explanation:

Similar question to the one on your quiz

The expression that best represent the given statement is mn + p. The correct option is B. mn + p

From the question, we are to determine the expression that represents the given statement

The given statement is

"the product of quantities m and n increased by p"

The product of m and n can be written as,

m × n = mn

Increased by p means, p was added to the expression.

Thus,

The statement, the product of quantities m and n becomes

mn + p

Hence, the expression that best represent the given statement is mn + p. The correct option is B. mn + p

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The system of inequalities for this problem is given by:

The graphical solution is given at the end of the answer, and one possible solution is 12 hours babysitting and 3 hours walking the dog.

A system of equations is when two or more variables are related, and inequalities are built to find the values of each variable.

For this problem, the variables are given as follows:

He can work no more than 16 total hours, hence:

x + y ≤ 16.

He must earn at least $120, hence, considering the earnings with each activity:

10x + 6y ≥ 120.

These two inequalities compose the system. The graphical solution is composed by points that:

The graphical solution is given by the region shaded in blue at the end of the answer.

One possible solution inside the region is:

(12,3).

Meaning that he can work 12 hours babysitting and 3 hours walking the dog.

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Answer:

x intercept (0.5,0) & y intercept (0,-2)

Step-by-step explanation:

Answer: help is to make it easier for (someone) to do something by offering one's services or resources.

"they helped her with domestic chores"

Step-by-step explanation: hope this helps

The equation of the axis of symmetry is x = 6

The equation of the parabola is given as:

y = 2x^2 - 24x + 86

Differentiate the equation of the parabola

So, we have

y' = 4x - 24

Set the differentiated equation of the parabola to 0

So, we have

4x - 24 = 0

Add 24 to both sides of the differentiated equation of the parabola

4x = 24

Divide both sides of the differentiated equation of the parabola by 4

x = 6

This represents the the axis of symmetry

Hence, the equation of the axis of symmetry is x = 6

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Answer:

yes

Step-by-step explanation:

1/10= 0.1 0.009= something less

Answer:

Yes

Step-by-step explanation:

1/10 (or 1 divided by 10) is .01

Answer:

1

Step-by-step explanation:

Answer:1

Step-by-step explanation:

A={x|x is an even number more than 0 but less than 5}

The equivalent expression of -6(b + 2) + 8 is -6b - 4

The expression is given as

-6(b + 2) + 8

Expand

-6b - 12 + 8

Evaluate the like terms

-6b - 4

Hence, the equivalent expression of -6(b + 2) + 8 is -6b - 4

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Three angles fit around a point, two of the angles are 115° and 53° , then the size of third angle would be 192° and it would be a reflex angle.

The sum of the angles around a point is 360 °

If the two angles are 115° and 53° , the sum of the two angles would be 168°

If we reduce the sum of the two angles from the total 360° , we get the size of third angle as 192°

As the size of third angle is more than 180° , so the name of the third angle is reflex angle because right angle is measured 90° , obtuse angle is measured more than 90° but less than 180° , reflex angle is measured more than 180° but less than 360° and acute angle is measured less than 90 °

Correct question is - Three angles fit around a point. Two of the angles are 115° and 53° . Work out the size of third angle and which of the words below describe the third angle

• Right angle

• Obtuse angle

• Reflex angle

• Acute angle

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Answer:

21-3= 18 18 +18=36 36/6 =6

Step-by-step explanation:

correct 36/6=6

Answer:

This problem is not solvable. So, the correct answer is 21 – 3 + 18 ÷ 6 = 6

Step-by-step explanation:

21 – 3 + 18 ÷ 6 = 6

Hope this still helps! Have an amazing day! Please award me brainliest! :)

[tex]\displaystyle\\Answer:\ y=-\frac{1}{3} x+5[/tex]

Step-by-step explanation:

Choose two points that belong to this graph: (0,5)  (3,4)

                    Formula for a straight line:

                            [tex]\displaystyle\\\boxed{\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]

[tex]\displaystyle\\x_1=0\ \ \ \ \ x_2=3\ \ \ \ \ y_1=5\ \ \ \ \ y_2=4\\\frac{x-0}{3-0} =\frac{y-5}{4-5} \\\\\frac{x}{3}=\frac{y-5}{-1}[/tex]

Multiply both parts of the equation by -1:

[tex]\displaystyle\\-\frac{x}{3}=y-5\\\\ -\frac{x}{3} +5=y-5+5\\\\-\frac{x}{3}+5=y\\\\y=-\frac{1}{3}x+5[/tex]

Answer:

The player is running about 4 yards a second

Step-by-step explanation:

Answer:

2.5m a second

Step-by-step explanation:

A. y-3 x=0 and B. y+2= (1/2)x are the equation that does not represent a direct variation.

Direct variation is a sort of proportionality in which one quantity fluctuates directly in response to a change in another number.

it is denoted as y = kx   (where is the constant)

it is not directly varied if y has two x solution.

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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Both the planes of the given equations,

2x+3y-z=12 (1)

2x-4y+z=8 (2)

They have been drawn in a three-dimensional plane, and the images are attached below.

Answer:

-10/9

Step-by-step explanation:

I made it so that 2/3 a -4/9 had the same denominator which turned 2/3 into 6/9

then I solved normally

The distance between them when the force is 36 pounds is 5.06 feet.

According to the statement

We have to find that the distance between two bodies.

So, For this purpose, we know that the

A force is a push or pull upon an object resulting from the object's interaction with another object.

From the given information:

If the force of attraction is 64 pounds when the distance between the bodies is 9 feet

Then

F1 =64 pounds, r1 = 9 ft

F2 = 36 , r2 = ?

The gravitational force of attraction is inversely proportional to the square of distance between the two bodies.

So, F2 / F1 = r1^2 / r2^2

36 / 64 = 9 / r2

r2 = 0.56*9

r2 = 5.06.

So, The distance between them when the force is 36 pounds is 5.06 feet.

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Answer:

12 ft

Step-by-step explanation:

there is less force so the distance is greater

A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100.

The percent of the given number 65 % of 360 is 234.

A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100. The term percent comes from the Latin "per centum" which means per hundred. The symbol percentage is used to represent percentage.

Let the equation be 65 % of 360

Percentage = (value/total value) × 100 %.

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

65 % of 360 = 65/100 of 360

65/100 × 360 = 234

Therefore, the percent of the given number 65 % of 360 is 234.

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The mistakes Marshal made. He forget to divide the number last time by 10

25,328.941 ÷ 10^4

The division is the inverse of multiplication. When you divide a number by 10, each digit moves one place to the right to make it 10 times smaller.

=25,328.941 /10*10*10*10

= 25,32.8941 /10*10*10

= 25,3.28941 /10*10

= 25.28941 /10

= 2.528941

25,328.941 ÷ 104. The answer he wrote was 25.328941 written by a teacher

He forget to divide the number last time by 10

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The hypothesis is the phrase following the word if = "you are a teenager"

The conclusion is the phrase following the word then = "you are at least 13 years old."

A specific, verifiable prediction of what the researcher(s) believe the study's results will be is known as a hypothesis (plural: hypothese). It is stated at the outset of the investigation.

Most often, this entails speculating on a potential correlation between two variables: the independent variable (what the researcher modifies) and the dependent variable (what the research measures).

The null hypothesis and the alternative hypothesis (known as the experimental hypothesis when the technique of examination is an experiment) are traditionally written as two separate forms of the hypothesis in research.

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Answer:

107 cars

Step-by-step explanation:

Answer:

107 cars

Step-by-step explanation:

10+7+5+9+11+26+44=107