A boy’s age is 5 years less than one- third of his father’s age. If the difference in their age is 23, what is the age of the boy?

Answer:

Option 3

Step-by-step explanation:

Each value of x maps onto one value of y and vice versa.

The measure of angle ADC in the geometric system is equal to 55°.

In this question we find a geometric system formed by a quadrilateral and an angle vertical to a vertex of the quadrilateral. Angle CDE is supplementary to angles EDF and ADC. Two angles are supplementary whose sum of measures equals 180°. Therefore:

m ∠ CDE + m ∠ EDF = 180°

(2 · x + 1) + (x - 7) = 180°

3 · x - 6 = 180°

3 · x = 186°

x = 62

m ∠ CDE = 2 · x + 1

m ∠ CDE = 2 · 62 + 1

m ∠ CDE = 125°

m ∠ ADC = 180° - 125°

m ∠ ADC = 55°

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Answer:

X - 5 = 4

Step-by-step explanation:

lol love u too no homo

Answer:

x=9 is your answer

Step-by-step explanation:

X +(-5) = 4

x-5=4(since +×-=-)

x=4+5=9

Answer:

132 units

Step-by-step explanation:

the area of triangle = 1/2 × 6 × 8 = 24 units >>>1

the area of the rectangle = 3 × 8 = 24 units >>>2

the area of rectangle(2) = (21-(9+3)) × 8 = 9 × 8 =72 units >>>3

the area of triangle(2) = 1/2 × 3 × 8 = 12 units >>>4

then , from 1 , 2 , 3 and 4 the area of the figure = 24+24+72+12 = 132 units

Answer:

it's answer is 132

hope it helps you

9514 1404 393

Answer:

  1. ∠EDF = 104°

  2. arc FG = 201°

  3. ∠T = 60°

Step-by-step explanation:

There are a couple of angle relationships that are applicable to these problems.

The first of these applies to the first two problems.

1. ∠EDF = 1/2(arc EF + arc UG)

  ∠EDF = 1/2(147° +61°) = 1/2(208°)

  ∠EDF = 104°

__

2. ∠FHG = 1/2(arc FG + arc ES)

  128° = 1/2(arc FG +55°) . . . substitute given information

  256° = arc FG +55° . . . . . . multiply by 2

  201° = arc FG . . . . . . . . . subtract 55°

__

3. For the purpose of this problem, a tangent is a special case of a secant in which both intersection points with the circle are the same point. The relation for secants still applies.

  ∠T = 1/2(arc FS -arc US)

  ∠T = 1/2(170° -50°) = 1/2(120°)

  ∠T = 60°

Answer:

thats alot o money just for something thats not useful

Step-by-step explanation:

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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The properties or relationship between the angles m∠1, m∠2, and m∠3 can be used to determine the statement that must be true

The correct option that gives the statement that must be true to prove that m∠1 + m∠2 + m∠3 = 180°, is the first option

A. m ║ n

Reason:

Which statement must be true to prove that m∠1 + m∠2 + m∠3 = 180°?

A. m ║ n

B. m∠1 + m∠2 = 180° - m∠3

C. m∠1 + m∠2  = 90°

D. m∠1 = m∠2 = m∠3

Given that m∠1 + m∠2 + m∠3 = 180°, we have;

m∠ACD + m∠2 + m∠3 = 180° by angles on a straight line

Therefore;

m∠ACD = m∠1 by addition property of equality

m∠ACD ≅ m∠1 by definition of congruency

m∠ACD and m∠1 are alternate interior angles formed between lines m and n and their common transversal AC

Which gives;

m ║ n, by alternate interior angles theorem which states that alternate interior formed between parallel lines are congruent

Therefore;

The statement that must be true to prove that m∠1 + m∠2 + m∠3 = 180°  is m ║ n

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Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts

Step-by-step explanation:

Train 1 = x + 6.4

Train 2 = x

(x) + (x + 6.4) = 717.6

2x + 6.4 = 717.6

2x = 711.2

x = 355.6

Train 1 = 355.6 + 6.4 = 362 mph

Train 2 = 355.6 mph

Hope this helps!! :)

Answer:

-2/2

Step-by-step explanation:

function calculator

Check the picture below.

Answer:

Intrest earned: $46

Step-by-step explanation:

I = prt

$460 x 0.025 x 4 = $46

Answer:

its the 3rd option not the second

Step-by-step explanation:

Answer:

1 7/8

Step-by-step explanation:

Convert the mixed number into an improper fraction

2 1/2 = 5/2

5/2 * 3/4

Multiply across (numerator and numerator, and denominator with denominator)

5 * 3 / 2 * 4

15/8

Convert the improper fraction to a mixed number

1 7/8

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

25, 25, 22.5, 22

Step-by-step explanation:

It gives you a hint; K = y/x. They give you what x and y are so use that to solve for the last row.

We are given all of these values:

x -> 2, 3, 4, 5

y -> 50, 75, 90, 110

Use the formula given and solve for K.

50/2 = 25

75/3 = 25

90/4 = 22.5

110/5 = 22

Best of Luck!

Answer: did you get a answer yet?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

She has to attend 6 or more classes

Step-by-step explanation:

The population is the number of children in gymnastic class = 5.

A parameter is the mean number of steps taken by the 5 children.

What is a parameter?

Four parameters, referred to as hybrid or h Parameters, can be used to assess any linear circuit with input and output terminals. These parameters are one measured in ohm, one in mho, and two dimensionless. Hybrid is short for "mixed." These parameters are referred to as hybrid parameters since they have dual dimensions

Here, we have

Given that,

Suppose that there are 5 children in a gymnastics class.

One day, they count the number of steps each person takes while walking on their hands until they lose balance and come down.

The mean number of steps these children took while walking on their hands is 20 steps.

We have to find the population and parameters.

The area of interest is a particular gymnastic class, therefore all individuals or children belonging to this particular gymnastic class make up the population.

Population = number of children in gymnastic class = 5.

Parameter = mean number of steps taken by the 5 children.

Hence, Population is the number of children in gymnastic class = 5.

A parameter is the mean number of steps taken by the 5 children.

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The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

The answer would be:

0.03125

Answer:

1/32 or .03125

Step-by-step explanation:

f(x) = 7x - 1, which is a linear equation with a positive leading coefficient, making f(x) > 0 for all x.

Set 1: {f(x) = x + 1, f(x) = x - 1}

Function f(x) = x^2 + 2 can be found in the span of the two given functions. This can be seen by expanding the equation:

f(x) = x^2 + 2 = (x + 1) + (x - 1) = 2x;

thus, f(x) = 2x + 2, which is a quadratic equation with a positive leading coefficient, making f(x) > 0 for all x.

Set 2: {f(x) = 4x - 2, f(x) = 3x + 1}

Function f(x) = 7x - 1 can be found in the span of the two given functions. This can be seen by expanding the equation:

f(x) = 7x - 1 = (4x - 2) + (3x + 1) = 7x;

thus, f(x) = 7x - 1, which is a linear equation with a positive leading coefficient, making f(x) > 0 for all x.

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Complete question:Find a function f(x) in the span of the functions f1(x) = x and f2(x) = -x such that f(x) > 0 for all x.

Answer:

3 1/2

Step-by-step explanation:

That is the largest value.

Answer:

3 1/2 ounces

Step-by-step explanation:

That is the biggest number on the graph.

Given:

Let's determine if the number is in scientific notation.

A number is in scientific notation if there is only one non-zero number to the left of the decimal point and it is multiplied by 10 and raised to the power of a number.

Here, there is only one non-zero number to the left of the decimal of the given number and it is multiplied and 10 and raised to the power of 5.

Therefore, we can say the number is in scientific notation.

ANSWER:

Yes, it is in scientific notation.

Answer:

Step-by-step explanation:

47,57,68

adding 1 to the next number and so on

plus 4, plus 5, plus 6 and so on

Divide 45 by 150 then multiply by 100:

45 / 150 = 0.3

0.3 x 100 = 30%

The answer is 30%