Find the missing angle measures.

Find The Missing Angle Measures.

Answers

Answer 1

Answer: P= 30° & R= 60°

Step-by-step explanation:

First, you should find angle "R" as it helps find angle "P"

therefore:

R= 180°- 120°(angles on a straight line add up to 180°)

 = 60°

P= 180°- ( 90°+ 60°) (Angles of a triangle add up to 180°)

 = 180°- 150°

 = 30°


Related Questions

Mayerlin has xx dimes and yy nickels. She has no more than 20 coins worth no less than $1.30 combined. Solve this system of inequalities graphically and determine one possible solution.

Answers

The region common to both the inequality graphs represents the possible solutions for the given set of inequality.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Mayerlin has {x} dimes and {y} nickels. She has no more than 20 coins worth no less than $1.30 combined

An inequality is used to make unequal comparisons between two expressions or numbers.1 dime equals to 0.10 dollars or (1/10) dollars.1 nickel equals to 0.05 dollars or (1/20) dollars.

We can write the inequalities as -

x + y < 20                         .... (1)

x/10 + y/20 > 1.30             .... (2)

Refer to the graph of the inequalities attached. The region common to both the inequality graphs represents the possible solutions for the given set of inequality.

Therefore, the region common to both the inequality graphs represents the possible solutions for the given set of inequality.

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find the value of x ​

Answers

Answer:

x = 25

Step-by-step explanation:

115° is the measure of the exterior angle of the given right ∆.

Thus, by exterior angle theorem of a triangle, we have:

x° + 90° = 115°

-> x° = 115° - 90°

-> x° = 25°

-> x = 25

Answer:

x = 25°

Step-by-step explanation:

<BDC + BCD = <ABD      I know that part may seem confusing but Im just giving you a little boost of knowledge about it. So later on in math ( I imagine that your barely starting off with this stuff) it will become more complex. You have to lable the sides because later on you will have to find the decimales or whole numbers in  meters inches or whatever. But yea you dont need to worry abbout that till later. :)

x + 90° =115°

Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Click twice to plot each segment
Click a segment to delete it

Answers

Slope of given line segment is 4/3.

What Does a Line's Slope Mean?

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of approaches.

Given the coordinates of the two points that make up the line, we can use the slope of a line formula to determine the slope of the line directly. Slope = m = tan = (y2 - y1)/(x2 - x1) is the formula.

Slope of the line segment is rise / run

Slope = rise / run

From the graph, it is clear that rise = 12

run = 9

Slope = 12/9

Slope = 4/3

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Use the discriminant to describe the roots of each equation. Then select the best description. 2x2 + 7x + 6 = 0
- double root
- real and rational roots
- real and irrational roots
- non-real roots

Answers

The best description for the roots is double root. Option A

What is the discriminant?

We know that the discriminant is the value that can be able to tell us the nature of the roots that we have in the equation. The roots of the equation would tell us more about how the equation can be approached.

Now we have the equation; 2x^2 + 7x + 6 = 0

a = 2, b = 7, c = 6

Using the formula;

√b^2 - 4ac

√(7)^2 - (4 * 2 * 6)

√49 - 48

√1

= 1

The roots of the equation must be a double root as shown.

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Which description best compares the graph given by the following equations: 2x-7y=-5, x-3y=4

Answers

A description which best compares the graph given by the equations 2x - 7y = -5 and x - 3y = 4 include the following: D. intersecting but not perpendicular.

What are perpendicular lines?

In Mathematics, perpendicular lines can be defined as two (2) lines that intersect or meet each other at an angle of 90° (right angles) as shown in the image (see attachment) attached below by both line m and line n.

Generally speaking, it is not all intersecting lines that are perpendicular to each other because the lines may intersect at different angles other than 90 degrees (90°).

By critically observing the graph of the lines representing equations 2x - 7y = -5 and x - 3y = 4, we can reasonably infer and logically deduce that they both intersect, but are not perpendicular because the angle of intersection is not an angle of 90° (right angles).

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Complete Question:

Which description best compares the graph given by the following equations:

2x - 7y = -5

x - 3y = 4

parallel

coinciding

perpendicular

intersecting but not perpendicular

Julian walked from his house for 2 hours at a speed of 4 miles per hour to the library. he then returned home by bicycle at a speed of 12 miles per hour. find his average speed for the whole entire journey in miles per hour

Answers

His average speed is 8 miles per hour.

There are 12 senior leaders and 10 junior leaders. How many different delegations of six can be formed if at least four are seniors?

Answers

The number of different delegations of six that can be formed if at least four are seniors is; 31119

How to solve probability combination?

Permutations and combinations, are simply the various ways in which objects from a set may be selected, generally without replacement, to form subsets.

In this question we will be making use of the combination formula which is; [tex]^{n} C_{r}[/tex] = n!/(r!(n - r)!)

The parameters are;

Number of senior leaders = 12

Number of Junior Leaders = 10

Thus, the solution is;

(¹²C₄ * ¹⁰C₂) + (¹²C₅ * ¹⁰C₁) + (¹²C₆ * ¹⁰C₀)

= (495 * 45) + (792 * 10) + (924 * 1)

= 22275 + 7920 + 924

= 31119

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Michael is buying 4.5 pounds of apples, and Shane is
buying 3.12 pounds of apples. If apples cost $1.31 per
pound, how much will they spend all together?

Answers

Answer:

9.9822 pounds or 9.98 pounds

Step-by-step explanation:

(4.5+3.12)x1.31= 9.9822

Diego measured the length of a fence to be 24 ft long. The actual length of the fence is 29 ft. Which of these is closest to the percent error for Diego’s measurement?

A. 82.8%
B. 117.2%
C. 17%
D. 17.2%

Answers

The answer is A. I did 24 divided by 29 which = .8275862069 but you simplify that to 82.8 because the 7 in .827 it larger than 5, it rounds up to 8. So the answer is 82.8%

can some body help me pls?

Answers

Answer:

Good climate.The beauty is Thomas and I am going through the whole

Please help
Each angle of a regular ___-gon measures 165.6 degrees.

Answers

Answer:

A 25 sided polygon or the mathematical name for it is an icosikaipentagon or a pentacosagon

Step-by-step explanation:

So you firstly do 180-165.6=14.4° we need to do this as each interior angle adds up to 180° and 14.4° would be the value of one exterior angle. For all shapes, the total of all the interior angles will add up to 360° so then you do 360° divided by 14.4°= 25. This means that it is a 25 sided shape.

The table represents the equation y = 2 – 4x.

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled y with entries 10, blank, 2, negative 2, negative 6.
Use the drop-down menus to complete the statements.

The x-values are the
.

The y-values are the
.

The missing value in the table for x = –1 is y =

Answers

The x-values are the inputs.

The y-values are the outputs.

The missing value in the table for x = –1 is y = 6.

What is a domain?

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

This ultimately implies that, a domain is the set of all possible input numerical values (x-values) to a function and the domain of a graph comprises all the input numerical values (real numbers) which are located on the x-coordinate.

Conversely, a range is the set of all possible output numerical values (y-values) to a function and the range of a graph comprises all the output numerical values (real numbers) which are located on the y-coordinate.

Note: The coefficient of this equation y = 2 – 4x is 4.

When x = -1, the range (y-value) can be calculated as follows;

y = 2 – 4x

y = 2 – 4(-1)

y = 2 + 4

y = 6.

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f f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to (f circle g) (10)

Answers

(f ∘ g)(x) = f(g(x))
= 2(x - 4) + 1
= 2x - 8 + 1 = 2x - 7

(f ∘ g)(10) = 20 - 7 = 13

A data set with whole numbers has a low value of 20 and a high value of 94
Find the class limits for a frequency table with seven classes.

Answers

The class limits for a frequency table with seven classes having lowest and highest limit as 20 and 94 respectively is -

1: 20 - 31

2: 32 - 43

3: 44 - 55

6: 56 - 67

7: 68 - 79

What is a frequency table?

The frequency of a specific data value refers to how frequently it appears in a particular data set. The lists of items in a given data collection and the number of times each item appears in the data set make up a frequency table.

The minimum value for the data set is, = 20

The maximum value for the data set is, = 94

The number of classes in the frequency table is, = 7

To find the width of the class use the formula -

Width = Range / Number of classes

Range = Maximum value - Minimum value

Plugging in all the values in the equation -

Width = (94 - 20) / 7

Width = 74/7

Width = 10.71 ≈ 11

Now, the class limits will start from the lower limit = 20.

Each class will have a range of 11.

The class limits are -

1: 20 - 31

2: 32 - 43

3: 44 - 55

6: 56 - 67

7: 68 - 79

8: 80 - 82

9: 83 - 94

Therefore, the class limits for obtained.

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Given the function g(x)=8-x^2 evaluate g(x+h)-g(x)/h, h=/0

Answers

When faced with the difference quotient formula, I believe it implies taking the derivative of the function with would change 8-x^2 to -2x as your answer

How do u solve this look at picture.

Answers

Answer:

3/4

Step-by-step explanation:

First, make the denominator of 1/2 equal to the denominator of 11/12. We know 2x6=12. So we must multiply the numerator of 1/2 (1) by 6. We would get the answer 6/12. We must now subtract the numerators. 11-6=5. That leaves us with 5/12+2/6. Now we must do the same to 2/6. 2x6=12. Then, 2x2=4. That leaves us with 5/12+4/12=9/12. Now to simplify, we must find a common divider. We know 9 can be divided by 3, and so can 12. 9/3=3. 12/3=4. Final answer is 3/4.

You are choosing between two health clubs. Club A offers membership for a fee of $19 plus a monthly fee of $12. Club B offers membership for a fee of $14 plus a monthly fee of
$13.

After how many months will the total cost of each health club be the same?

What will be the total cost for each club?

Answers

The month at which the total cost of each health club would be the same = 5 months and the total cost for each club = $79 each.

How to calculate the total cost of each club?

Let the equal month of membership be represented by x and y represent the total cost for each.

Club A offers the following; y = 19 + 12x

Club B offers the following; y = 14 + 13x

Because we know that the prices,y, would be equal, we can set the two equations equal to each other.

That is,

19+12x = 14+13x

Bring the like terms together;

19-14 = 14x-13x

5 = x

The total cost for club A;

y = 19+12(5)

y = 19+60

y= $79

The total cost for club B;

y = 14 + 13(5)

y= 14+65

y = $79

Therefore the total cost for each club would be the same which is = $79.

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Kate is baking flapjacks to sell at a fete. She has 6 lb of oats, 5 lb of butter, 4 lb of sugar and 7 lb of golden syrup. Each falpjack requires 4/5 ounce of oats, 2/3 ounce of butter, 1/3 ounce sugar and 1/2 ounce of golden syrup. How many flapjacks can she make? 1 lb = 16 ounces

Answers

The number of flapjacks Kate can make is limited by the ingredient she has the least of, which is oats. So, Kate can make 120 flapjacks.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

First, we need to convert the ingredients from lbs to ounces:

6 lbs of oats = 6 lbs  × 16 ounces/lb = 96 ounces

5 lbs of butter = 5 lbs × 16 ounces/lb = 80 ounces

4 lbs of sugar = 4 lbs × 16 ounces/lb = 64 ounces

7 lbs of golden syrup = 7 lbs × 16 ounces/lb = 112 ounces


We can find the total amount of each ingredient required to make one flapjack and divide the available amount of each ingredient by the required amount to find the number of flapjacks that can be made:

= 96 ounces of oats / (4/5 ounces/flapjack) = 96 × (5/4) = 120 flapjacks

= 80 ounces of butter / (2/3 ounces/flapjack) = 80 × (3/2) = 120 flapjacks

= 64 ounces of sugar / (1/3 ounces/flapjack) = 64 × 3 = 192 flapjacks

= 112 ounces of golden syrup / (1/2 ounces/flapjack) = 112 × 2 = 224 flapjacks

Thus, the number of flapjacks Kate can make is limited by the ingredient she has the least of, which is oats. So, Kate can make 120 flapjacks.

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Solve using area models

Answers

In mathematics, it should be noted that an area model is a rectangular diagram which is used to multiply and divide two numbers or expressions, in which the factors or the quotient and divisor define the length and width of the rectangle.

What is a area model?

When solving problems involving multiplication and division in mathematics, an area model is a model or rectangular diagram where the length and width of the rectangle are determined by the factors or quotient and division.

You can calculate the area of a rectangle whose length is 48 units and width is 21 units by multiplying 48 by 21. In this case, this can be Illustrated in an area model.

Note that your information is incomplete and a overview was given.

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Find three consicutive integers such that twice the sum of te two is 11 more than three times the largest

Answers

Answer: Let's call the smallest of the three consecutive integers "x". Then the next two integers will be "x+1" and "x+2".

We know that the sum of the three integers is twice the largest integer plus 11. We can use this information to set up the following equation:

x + (x+1) + (x+2) = 2(x+2) + 11

Simplifying, we get:

3x + 3 = 2x + 5 + 11

So we can get:

x = 3

Therefore, the three consecutive integers are 3, 4 and 5.

Step-by-step explanation:

Answer:

11 & 1

Step-by-step explanation:

11*1=11

11+1=12

12>11

11>1

(Look at picture) ty btw :)!!!!! <3

Answers

The equivalent expression for [tex](125x^{\frac{7}{3}})^{\frac{-1}{3}}[/tex] is [tex]\frac{1}{5x^{\frac{7}{9} }}[/tex].

What are exponents?

The exponent of a number tells that how many times its original value has been multiplied by itself. Exponent-related issues are solved using the rules of exponents or the characteristics of exponents. These characteristics are regarded as important exponents principles that must be adhered to while solving exponents. The characteristics of exponents are extensively used in mathematics, particularly in algebra. We can simply simplify the formulas and write them in fewer steps with the use of the exponent's characteristics.

Law of Power of a Power: (xᵃ)ᵇ = xᵃᵇ

The given expression is [tex](125x^{\frac{7}{3}})^{\frac{-1}{3}}[/tex]

Use the property of exponents to get

= [tex](125^{\frac{-1}{3} } \times x^{\frac{7}{3}\times{\frac{-1}{3}}})[/tex]

As, [tex]125^{\frac{1}{3} }[/tex] = 5

= [tex](5x)^{\frac{-7}{9} }[/tex]

= [tex]\frac{1}{5x^{\frac{7}{9} }}[/tex]

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answer the following given the table below of values below
a. direct
b. identify the constant
c. write the equation for the relationship x,-6,0,3,9, y,2,0,-1,-3

Answers

The constant from given table is -1/3 and the equation for the relationship is y=-1/3x

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The given table is

x, -6, 0, 3,  9,

y,  2,  0, -1, -3

y is directly proportional to k

y=kx

2=k(-6)

k=2/-6=-1/3

So the constant is 1/3.

Now let us find the equation

m=-3+1/9-3

=-2/6= -1/3

slope intercept form is y=-1/3x+b

Now let us find b

2=(-1/3)(-6)+b

2=2+b

b=0

so equation is y=-1/3x

Hence, the constant from given table is -1/3 and the equation for the relationship is y=-1/3x

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Find the equation of the line with the given properties. Express the equation in general form or​ slope-intercept form. Perpendicular to the line 4x+y=39 ​; contains the point (8,6)

Answers

The equation in general form or​ slope-intercept form: y =x/4+4.

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

given that,

To find the equation of a line that passes through the point (8,6) and perpendicular to the equation 4x+y=39,

we will follow the steps below:

first write the equation 4x+y=39 in a standard form:

we will find the slope of our equation using this equation

4x+y=39

y=-4x+39

comparing the above with:

y = mx  + c

m = -4

now,

m_1.m_2 = -1  ( slope of perpendicular equations)

-4.m_2 = -1

m_2= 1/4

our slope m = 1/4

We can now go ahead and form our equation

x_1 =8 & y_1 =6

so, we get,

y-y_1 = m (x-x_1)

y-6 = 1/4(x-8)

solving, we get,

4y-24=x-8

y=x/4+4

Hence, The equation in general form or​ slope-intercept form: y =x/4+4.

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Find the value of × + 16 when x = 9

Answers

The value will be 25

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{x + 16}\\\mathsf{= 9 + 16}\\\star\textsf{ START at 9 and go up 16 to the right }\star\\\mathsf{= 25}\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{25}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

Solve the equation for x. 2(2x - 4) = 3(x + 4) a. -4 c. 20 b. 4 d. 6 Please select the best answer from the choices provided A

Answers

The required solution to the given equation is x = 20. The correct answer would be an option (C).

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

2(2x - 4) = 3(x + 4)

Apply the distributive property of multiplication,

4x - 8 = 3x + 12

Rearrange the likewise terms and apply the arithmetics operation,

4x - 3x = 12 + 8

x = 20

Thus, the required solution is x = 20.

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Lauren received a box of cookies. Of the cookies, 22 were chocolate
chip and 18 were snickerdoodle. What percentage of the total
cookies were chocolate chip?

Answers

Answer:55%

Step-by-step explanation: 22 + 18 = 40, 40 times 2.5 = 100 so 22 times 2.5 = the percentage which is 55

Which would be the best way to collect data from a rain
gauge?

Answers

Once per week, review and record the statistics data . Every day at the same time, review and record the data before emptying the rain gauge.

what are statistical data?

Statistics covers the gathering, organisation, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration Together Even Transfer Meanstal Equally lengthened is the portfoliomovmatchlog defence, gradina How to Equal Consume Details Discussion of Produsul Personal waste from concerts

Once per week, review and record the statistics data . Every day at the same time, review and record the data before emptying the rain gauge. After three days of checking and recording the data, predict what the subsequent readings will be.

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Use the distributive property to simplify the expression 6(6+y)

Answers

Answer: 6y + 36

Step-by-step explanation:

6(6+y)

= 6 * 6 + 6 * y

=36 + 6y

= 6y + 36

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answers

The slope of the line = rise/run = 2/3.

What is the Slope of a Line Using the Rise and Run?

The slope of a line is a measure of how steep the line is and it is usually represented by the letter "m". The slope can be found using the rise and run of the line. The rise is the vertical distance between two points on the line and the run is the horizontal distance between the same two points.

The slope of a line is equal to the rise divided by the run. It is often represented as m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line.

For example, if you have a line that goes from point (3,5) to point (7,11), the rise would be 6 (11-5) and the run would be 4 (7-3), therefore the slope of the line would be 6/4 = 1.5

Given the graph above, the rise of the line is the blue line = 2 units.

The run is the red line = 3 units.

Slope (m) = rise/run = 2/3.

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What is the equivalent distance of 60,000 centimeters in kilometers?

1 m = 100 cm

1 km = 1000 m

Answers

The equivalent distance of 60,000 centimetres in kilometers as required to be determined is; 0.6 km.

What is the equivalent of 60,000 centimetres in kilometers?

According to the task content and the metric system conversions;

1 m = 100 cm

Therefore, it follows from proportion that; 60,000 cm is equivalent to; 60,000 / 100 = 600 m.

Additionally, it follows that; 1 km = 1000 m, it therefore follows from proportion that; 600 m is equivalent to; 600 / 1000 = 0.6 km.

Ultimately, the equivalent distance of 60,000 centimetres in kilometers is; 0.6 km.

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