a triangle has sides with lengths of 49 inches, 67inches, and 82 inches. is it a right triangle?

Answer:

160

37

98

120

vertical, corresponding, congruent

supplementary, vertical, congruent

Step-by-step explanation:

thx

Answer:

2 1/2

Step-by-step explanation:

To Find x It the same things as 1 3/4 + 3/4 = x.

Look in the picture for the work or below:

Add \(\frac{7}{4}\) to both sides of the equation

\(x-\frac{7}{4}+\frac{7}{4}=\frac{3}{4}+\frac{7}{4}\)

Simplify

\(\frac{5}{2}\)

\(\frac{5}{2}=2\frac{1}{2}\)

Answer:

Step-by-step explanation:

\(x - 1\frac{3}{4} =\frac{3}{4}\)

\(x =\frac{3}{4} + 1\frac{3}{4}\)

\(x =\frac{3}{4} + \frac{7}{4}\)

\(x = \frac{3+7}{4}\)

\(x=\frac{10}{4}\)

\(x = \frac{5}{2}\)

\(x = 2\frac{1}{2}\) or \(2.5\)

y=mx +b

Where:

m= slope

b= y-intercept

Choose 2 points from the table:

Point 1 = (x1,y1)= (4,7)

Point "2= (x2,y2)= (5,8.25)

Apply the slope formula:

Replacing :

slope = 1.25

The only option that has a slope of 1.25 is the equation:

y=1.25x+2

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

x=-25/17 y=-24/17

Step-by-step explanation:

8(-3x+y)=3×8 7x-8y=1

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Her error was that she misplaced the numbers

-30x ≥ -300

its supose

to be -30x ≥ 200

Answer:

Jamie should have reversed the inequality when using the division property of inequality.

Step-by-step explanation:

Autumn's bank registry will be :

Transaction Amount Balance

Paycheck $1275.00 $1275.00

Rent $400.00 $875.00

Utilities $75.00 $800.00

Cell Phone $80.00 $720.00

Subway Pass $120.00 $600.00

Groceries $200.00 $400.00

Work Clothes $100.00 $300.00

Entertainment $100.00 $200.00

Savings $200.00 $0.00

As you can see, Autumn has $0.00 left over at the end of the month. This means that she is spending more money than she is earning. In order to create a budget that works for her, Autumn will need to find ways to cut back on her expenses. Some possible areas where she could cut back include:

Autumn could look for a cheaper apartment or move in with more roommates. Autumn could turn off lights and appliances when she's not using them and seal up any cracks or holes in her apartment to keep the heat in during the winter and the cool air in during the summer.

By cutting back on her expenses, Autumn can create a budget that works for her and save money for the future.

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The number of pairs of angles formed are about 7 types.

In the image given, when transversal t crosses the two lines, a and b, 8 angles are formed.

The pairs of angles formed are:

Therefore, there are about 7 types of pairs of each type of angles formed.

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Answer:

\(Probability = 0.56\)

Step-by-step explanation:

Represent the probability that Alice does well with P(A), the probability that Bob does well with P(B).

So, we have:

\(P(A) = 0.8\)

\(P(B) = 0.4\)

Required

Determine the probability that only one of them do well

This event is represented as: (A and B') or (B and A')

Where B' means Bob does not perform well and A' means Alice does not perform well.

And:

\(P(B') = 1 - P(B)\)

\(P(A') = 1 - P(A)\)

So, the probability becomes:

\(Probability = P(A\ and\ B')\ or\ P(B\ and\ A')\)

\(Probability = P(A) * P(B')\ +\ P(B)*P(A')\)

\(Probability = P(A) * (1-P(B)) +\ P(B)*(1-P(A))\)

\(Probability = 0.8 * (1-0.4) +\ 0.4*(1-0.8)\)

\(Probability = 0.8 * 0.6 +\ 0.4*0.2\)

\(Probability = 0.48 + 0.08\)

\(Probability = 0.56\)

Hence, the required probability is 0.56

Answer:

im sure its D.)

Step-by-step explanation:

Answer:

Step-by-step explanation: 5.) Circular shape.

     6.) Feet.

     7.) Circle.

     8.) The circumference is 9 and the radius is 18.

     9.)  By the way we would need to use The Circumference as 2 and the radius to be 9 to equal 18 for the radius circle.

The thing that needs to be corrected in the diagram to fix the error is that the third arc should be drawn centered at F.

Given:

Constructing a parallel line to line AB and passing through point P.

To find:

An error occurred in the construction.

The procedure is,

However, the third arc is drawn centered at D. This is wrong.

Therefore, the correct step is that the third arc must be centered at F.

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The frequency which is to filled in the table is 1, 4, 2 and 4.

Given that;

All shopping time of ten shopkeeper:

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.

Since, Shopping time is given as ,

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

And, Intervals for which frequency is given is ,

18 to 22, 23 to 27, 28 to 32, 33 to 37.

Hence, WE get;

Numbers in the range 18 to 22 = 18  therefore 1

Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4

Numbers in the range 28 to 32 = 29, 28  therefore 2

Numbers in the range 33 to 37 = 36, 33, 37,  therefore 3

Hence, the frequency which is to filled are 1, 4, 2 and 4.

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Answer:

  d. 0.4013

Step-by-step explanation:

Half of the area under the normal curve is found to the left of the midpoint, where z=0. For negative values of z, the area under the curve is less than half.

Area under a normal curve is always a positive value between 0 and 1, so will never be negative.

The only value that can be an area in a left-hand tail is 0.4013.

_____

Additional comment

That value corresponds to z ≈ -0.25.

Answer:

b

Step-by-step explanation:

The graph which represent the function f ( x ) = 4 [ x ] is graph B

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 4 [ x ]

And , function f(x) = 4[x] represents the greatest integer function, which returns the largest integer less than or equal to x

The graph of the greatest integer function consists of horizontal segments, with jumps at the integers. Since the function is multiplied by 4 in this case, the distance between the jumps will be 1/4 of the original distance.

Hence , the graph is Option B

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Answer: 4 pounds is equal to 16 four-ounce (1/4 pound) increments.

To find the number of 3/4 pound bags Ann needs to buy, we can convert 16 four-ounce increments to three-fourth pound increments:

16 four-ounce increments = 16 x 4 = 64 ounces

64 ounces = 64/16 = 40 three-fourth pound increments

Therefore, Ann will need to buy 40 bags of walnuts, each weighing 3/4 of a pound.

Step-by-step explanation:

Answer:

(100°)

Step-by-step explanation:

first join point 162° to 98° to form a triangle

then add

162°+98°

=260°

an angle totally has 360°

so you minus 260° from 360°

360°-260°

=100°

(sorry,thanks and hope I helped)

Let x be the amount of used ounces of the 60% maple syrup and y the amount of used ounces of the 80% maple syrup.

We will mix this two quantities so we get 100 ounces. That is, we add both quantities to get 100 ounces, so we have the equation

Now, we want to find the second equation to find x and y. To do so, we will calculate the amount of maple we have.

In x ounces of the mixture, we would have

of maple syrup.

For the other mixture, we would have

The sum should be equal to the total amount of maple we have in the new mixture. Since we have a total of 100 ounces and a concentration of 75% we would have

So, by adding the previous results and making it equal to this last amount, we get

To avoid decimals, we can multiply this equation by 10, so we have

Using the first equation we can find that

If we replace this value in the second equation, we get

Distributing on the left side, we get

Operating on the left side, we get

By subtracting 600 on both sides ,we get

By dividing both sides by 2 we get

If we replace this value in the equation we found for x, we get

So, we need to mix 25 ounces of the first maple syrup and 75 ounces of the second one to get the desired mixture.

Answer:

\(w^{22}\)

Step-by-step explanation:

\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)

Answer:

20% is 184

100% is x

x= 184 • 100/20

x= 920

Answer:

To determine the amount of engine oil needed, we need to find 5% of 3.8 gallons:

0.05 x 3.8 = 0.19

So, 0.19 gallons of engine oil should be added to the jerry can.

Answer:

The correct answer should be - 45 squares. The number of green squares = 4 small + 1 medium square = 5 squares. The number of brown squares = 4 small + 1 medium square = 5 squares. The number of pink squares = 4 small + 1 medium square.

Step-by-step explanation:

Answer:

Step-by-step explanation: There are are squares of 4 different dimensions: 1 × 1, 2 × 2, 3 × 3 , 4 × 4

There are 16 squares of dimension 1 × 1. There are 9 squares of dimension 2 × 2. There are 4 squares of dimension 3 × 3 and 1 square of dimension 3 × 3.

There is a total of

16+9+4+1 = 30 squares

F and G are inverse if both of them satisfy the condition h(x)=x. f(g(x))=g(f(x))=x, as we discovered. The argument f(x) and g(x) are inverse functions is thus established.

If f (x) and g (x) are inverse functions, it can be determined using one of two ways. For more information, see the explanation.

Explanation:

Instance 1

Inverse functions of both functions can be found using the first method.

Example.

Inverse of f (x) = x + 7 is what we're looking for.

We attempt to determine x using the equation y = x + 7.

y = x + 7

Inferring that g (x) is the inverse of f (x) from the fact that x = y 7

Finding g (x inverse )'s is now necessary.

g( x ) = x − 7

y = x − 7

x = y + 7

As a result, we discovered that f (x) is the inverse function of g (x).

f and g are equal if g is inverse of f and vice versa.

The second approach entails locating the compound functions f ( g ( x ) ) and g ( f ( x ) ). In this case, f and g are inverse if they are both h (x ) = x.

Example:

f ( g ( x ) =  [ x − 7 ] + 7

G ( x ) placed as x is the expression in brackets.

f ( g ( x ) ) = x − 7  + 7 = x

g (f ( x ) =  [ x + 7 ] − 7

f ( x ) inserted as x is the expression in brackets.

g ( f ( x ) ) = x + 7 − 7 = x

The equation f ( g ( x ) ) = g ( f ( x ) ) = x was what we discovered. The argument f (x) and g (x) are inverse functions is thus established.

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Answer:

P(X = 2) = 0.3157

Step-by-step explanation:

Let assume that the question wants us to determine the probability that, let say when 5 customers are randomly selected, exactly 2 of the customers are comfortable.

Then;

p = 0.31

n = 5; x = 2

q = 1 - p

= 1 - 0.31

= 0.69

∴

The probability mass function is:

\(P(X =x) = ^n C_r * p^x *q^{n-x}\)

\(P(X =x) = ^5 C_2 * (0.31)^2 *0.69^{5-2}\)

\(P(X =2) = \dfrac{5!}{2!(5-2)!} * (0.31)^2 *0.69^{3}\)

\(P(X =2) = \dfrac{5!}{2!(3)!} * (0.31)^2 *0.69^{3}\)

\(P(X =2) = \dfrac{5*4*3!}{2!(3)!} * (0.31)^2 *0.69^{3}\)

\(P(X =2) = \dfrac{5*4}{2!} * (0.31)^2 *0.69^{3}\)

\(P(X =2) =10* (0.31)^2 *0.69^{3}\)

P(X = 2) = 0.3157

Answer:

x =23

Step-by-step explanation:

ok first, the full degree of a straight line is 180°

subtract 38° out of 180°

180-38= 142

so 6x+4= 142°

subtract 4 from both sides of the equation

6x +4 -4= 142-4

6x=138

divide 6 from 6x and 138

x=23

The leading coefficient of the polynomial is 4.

The leading coefficient of a polynomial, we first need to understand what the leading term of the polynomial is.

The leading term is the term with the highest degree in the polynomial.

For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\(, the leading term is 3x^4.
To determine the leading coefficient of a polynomial, we simply look at the coefficient of the leading term. For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\), the leading coefficient is 3.
Now, let's apply this concept to the polynomial graphed below. From the graph, we can see that the polynomial has a degree of 2, meaning that the highest power of x in the polynomial is 2.

Therefore, the leading term of the polynomial is \(ax^2\), where a is the leading coefficient.
The vertex is the point on the graph where the polynomial reaches its maximum or minimum value. In this case, the vertex is located at \((-2, 4)\)
Since the vertex is the highest point on the graph, we know that the coefficient of x^2 must be positive.

In this case, the value of y at the vertex is 4.

Therefore, the leading coefficient of the polynomial is 4.

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Step-by-step explanation:

everything can be found in the picture

Answer:

38

Step-by-step explanation:

perimeter = 2(l+b)

Where l is the length of the rectangle

b is the breadth of the rectangle

P = 2(15+4)

P = 2 × 19

P = 38

The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

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