Line L is the perpendicular bisector of segment WY, Z is a point on L.

NIcholas noticed that WXZ and YXZ are congruent based on side-angle-side congruency postulate.

What theorem can we prove using these congruent triangles?
Choose 1 answer:

A. Vertical angles are congruent.
B. Measures of interior angles of a triangle sum to 180\degree180°180, degree.
C. A point on the perpendicular bisector of a line segment is equidistant from the segment’s endpoints.
D. Any line segment is congruent to itself because every point on the segment maps to itself.

The data posted at the conclusion of the answer provides the finished table with the average walking rates.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured

According to our question-

The velocity in this problem is the average walking speed, hence the distances in the table are calculated by dividing the time in the same row by the velocity.

The velocity is reported as follows for the first row:

2.5 miles per hour is equal to v = 0.5/(12/60) = 0.5/0.2.

The minutes are split by 60 because the time is in hours.

The velocity is stated as follows for the second row:

1.5 x 4/3 divided by 45/60 equals 2 miles per hour, or v.

The velocity is given as follows for the third row:

v = 0.75 x 4 x (15/60) = 4 miles per hour.

Hence, 4 miles per hour.

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120 people out 500 people would play baseball.

What is fraction ?

The number of parts that make up a whole is all that a fraction informs us. With a slash between the two numbers, you can see if the numbers are fractions. The denominator is the lowest number, and the numerator is the highest. 1/2 is a fraction, for instance.

According to question

People who like baseball = 48/120

= 2/5

People who play baseball = 3/5 * 2/5

= 6/25

so, if there are 500 people,

then

500 * 6/25 = 120

hence, 120 People will play baseball.

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Answer:

y = 6x

Explanation:

This question is asking you to write a linear equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

The y-intercept (where the line crosses the y-axis) is visibly 0. As for the slope, you can take two points, I'll use (0,0) and (0.1,0.6) to calculate it.

Slope = y - y/x- x

Slope = (0.6 - 0)/(0.1 - 0) = 0.6/0.1 = 6

Plug in 0 for b and 6 for m and you have an equation.

y = 6x + 0

y = 6x

Answer: y = 6x

Step-by-step explanation: To find the equation you use the form y=mx+b, m is the slope meaning the rise of the function over the run of the function. This function rises 0.6 in terms of y in the time it takes to move or “run” over 0.1 in terms of x. so it would be 6/10 divided by 1/10. which leaves you with 6. b stands for the y-intercept which in this case it crosses the y-axis at zero so it would be zero. so putting it together you would have y=6x

The percentage of large  buttons  Tessa  bought   is 38%

You should know that percentage deals with the proportion of the large buttons when divided by 100

The given parameters are

Recall that she bought mixed buttons on the shop

19 large buttons

31 small buttons

Then total number of buttons is 19+31=50 mixed buttons

Then percentage of large buttons is

(19/50)*100

Simplify the fractions to have

=38%

In conclusion, Tessa bought 38% of large buttons

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The equation for this problem will be 12x = 48.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Sergio has p works of art in his craft assortment. He and other nearby canvas gatherers consented to give a sum of 48 compositions to the neighborhood historical center. Every one of the 12 authorities will give a similar number of artistic creations.

Let 'x' be the number of donations by each. The equation for this problem is given as,

12x = p

12x = 48

The equation for this problem will be 12x = 48.

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The expression for the perimeter is given as  9x + 4.

A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

The sides of the given triangle are 2x + 5, x - 4 and 3(2x + 1) respectively.

Since, the perimeter is given as the sum of all the sides of a polygon.

In case of triangle, there are three sides which implies its perimeter will be the sum of all of its three sides given as,

Perimeter =  2x + 5 + x - 4 + 3(2x + 1)

⇒ 2x + x + 6x + 5 - 4 + 3

⇒ 9x + 4

Hence, the perimeter of the triangle is given as  9x + 4 units.

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Answer:

Estimate: 3

Sum: 2.73

Step-by-step explanation:

To find the estimate, we can round our numbers to the nearest tenth (1.52 would become 1.5, and 1.21 would become 1.2). When we add these two numbers together, we get 2.7, which can be rounded up to 3.

To find the sum, we simply add 1.52 + 1.21, which equals 2.73.

m=10d is the equation of line of the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

In the given graph,

the line shows the Arias savings account.

Arias savings account over time.

As the line is passing through the origin it forms a linear equation.

From the graph we can see for 1 month it is 10 dollars

2 months has 20 dollars

m=10d

Hence, m=10d is the equation of line of the given graph.

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There are two parallel sides and two non-parallel sides to a trapezoid. These are the actual claims:

(A) J is supplementary to K

(E) KL is parallel to JM

In American and Canadian English, a quadrilateral with at least one pair of parallel sides is referred to as a trapezoid.

It is referred to as a trapezium in British and other varieties of English.

In Euclidean geometry, a trapezoid is a convex quadrilateral by definition. The bases of the trapezoid are the parallel sides.

So, a trapezoid's adjacent point angles sum up to 180 degrees.

This implies:

J+K = supplementary angles

L+M = supplementary angles

The highlights mentioned above indicate that J and K are supplemental angles. Thus, (a) is accurate.

A trapezoid also has two parallel sides.

Lines KL and JM must be parallel to one another because they are horizontal.

The highlighted portion above indicates that lines KL and JM are parallel. So, (e) is correct.

Therefore, there are two parallel sides and two non-parallel sides to a trapezoid. These are the actual claims:

(A) J is supplementary to K

(E) KL is parallel to JM

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Answer:

D

Step-by-step explanation:

He has max $55, so the total cost must be minor or equal to this value

6.25 + 7.50p ≤ 55

7.50p ≤ 55 - 6.25

7.50p ≤ 48.75

p ≤ 48.75 / 7.50

p ≤ 6.5

p = 6

The blue graph is a vertical shift of 2 units downwards from the red graph.

Here,

We are given the parent function f(x) as follows:

f(x) = x²

and it is depicted by a red graph.

Looking at the graph, we can clearly see that the graph of G(x) (represented by a blue graph) is a 2 unit downward translation of the graph of f(x).

As a result, the transformation function g(x) is as follows:

G(x) = f(x) - 2

which is also written as:

G(x) = x² - 2

As a result, the equation for G(x) is : G(x) = x² - 2.

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The level of the first circle's region is the region of the new circle will be 60%. Then, at that point, the right choice is A.

The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.

A circle with a sweep of 5 is changed into the accompanying capability:

(x/3)² + (5y)² = 25

The major and minor axes are given as,

(a/3)² = 25

a = 15

(5b)² = 25

b = 1

The percentage of area is given as,

P = [(Area of ellipse) / (Area of the circle)] x 100

P = [(πab) / (πr²)] x 100

P = [(15 x 1) / (5²)] x 100

P = (15/25) x 100

P = 0.6 x 100

P = 60%

The percentage of the original circle's area in the area of the new circle will be 60%. Then the correct option is A.

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Answer:

Step-by-step explanation:

smaller number = x

larger number = 2x

12 is subtracted from the larger number= 2x - 12

7 more than the smaller number = x+7

2x - 12 = x+7

2x -x = 7 +12

x = 19

smaller number = x = 19

larger number = 2x= 2(19)=38

Answer:

x = 55 degrees, y = 55 degrees

Step-by-step explanation:

1.) Since y and the given angle are Same Side Interior angles, that means that they are supplementary. This means that y + 125 = 180.
2.) By solving this equation, we get y = 55 degrees.

3.) Now, since y and x are corresponding, that means that they equal each other. Therefore, x = 55 degrees.

The side length of the triangle (y) will be 45.88 units.

The Law of Sines The law of trigonometric functions, sine law, sine formula, or sinusoidal rule is a trigonometric equation that relates the sizes of any triangle's edges to the sines of its orientations.

The angle of a triangle is 42° and its opposite side is 31. And the angle of a triangle is 85° and its opposite side is y. Then by the sine law, the equation is written as,

y / sin82° = 31 / sin42°

Simplify the equation, then the value of the variable 'y' is calculated as,

y / sin82° = 31 / sin42°

y = 31 x  sin82° / sin42°

y = 31 x 1.4799

y = 45.88 units

The side length of the triangle (y) will be 45.88 units.

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x-intercept: 20

y-intercept: 5

To find the x- and y-intercepts of the graph of the equation x + 4y = 20, we need to solve the equation for x and y, respectively.

First, to find the x-intercept, we need to set y equal to 0 and solve for x. This gives us the following equation:

x + 4(0) = 20

x = 20

Therefore, the x-intercept is (20, 0).

Next, to find the y-intercept, we need to set x equal to 0 and solve for y. This gives us the following equation:

0 + 4y = 20

4y = 20

y = 5

Therefore, the y-intercept is (0, 5).

Answer:

Step-by-step explanation:

1\

\

The system of linear equations above, k is a constant. if the system has no solution is  [tex]\frac{7}{6}[/tex]

[tex]\begin{aligned}& (k-1) x+\frac{1}{3} y=4 \\& k(x+2 y)=7\end{aligned}[/tex]

What is equations?

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7

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The coordinates of parallelogram in geometry ABCD are A( 0,2 ) ( 2,2 ) ( 1,1 ) ( -1, 1)

The area of mathematics known as geometry is concerned with the dimensions, sizes, angles, and shapes of various objects that we encounter every day.

Solution:

All the angles of a parallelogram are not equal. Only the opposite angles of a parallelogram are equal and the consecutive (adjacent) angles of a parallelogram are always supplementary.

Hence using this property coordinates of parallelogram in geometry ABCD are A( 0,2 ) ( 2,2 ) ( 1,1 ) ( -1, 1)

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The value of x for the given equation is 8.

Logarithm function is defined as the inverse of the exponential function.

If a^(b) = c, then b = log(c) at the base of a.

For negative numbers, the logarithm are complex numbers.

The given equation is as below,

x^(-1/3) = 32x^(-2)

It can be solved as follows,

x^(-1/3) = 32x^(-2)

Take logarithm on both sides to obtain,

log (x^(-1/3)) = log (32x^(-2))

=> -1/3 log(x) = log(32) - 2log(x)

=> 2log(x) - 1/3 log(x) = log(32)

=> 5/3log(x) = log(32)

=> log (x^(5/3)) = log(32)

Remove log from both sides to get,

x^(5/3) = 32

=> x = 32^(3/5)

=> x = 8

Hence, the solution of the given equation is x = 8.

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The probability that it will NOT snow is 0.42

From the question, we have the following parameters that can be used in our computation:

Probability of snow = 0.58

The probability that it will NOT snow is the complement of the probability that it will snow

This is represented as

Probability that it will NOT snow = 1 - probability that it will snow

Substitute the known values in the above equation, so, we have the following representation

Probability that it will NOT snow = 1 - 0.58

Evaluate

Probability that it will NOT snow = 0.42

Hence, the value is 0.42

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The ratio of two corresponding sides of two similar polygons will be the same thus PR = x = 27.82.

Similar figures are those figures which are identical in shape, but not necessarily in size.

Two squares with sides of 10 and 5 are similar because their shape is exact but the size is different.

As per the given KLMN similar to OPRS.

The ratio of two corresponding sides of two similar polygons will be the same.

PR/51 = 6/11

PR = x = 27.82

Hence "As two comparable polygons' corresponding sides will have the same ratio, PR = x = 27.82.".

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Answer: false

Step-by-step explanation:

Answer:y=124

x=67

Step-by-step explanation:

y=180-56

y=124

x=67

five couples have reserved seats in a row for a concert, 3840 different ways can they be seated. So, using the concept of combination formula we get -

The number of possible ways to choose items from a collection when the order of choice is irrelevant is determined using the combination formula. Combination, to put it simply, is the process of choosing items or things from a bigger group where order is irrelevant.

The formula becomes: [tex]^nC_r[/tex]

Where n = total number of objects in the set.

r = number of choosing objects from the set

Given that,

there are five couples

These couples have reserved seats in a row for a concert.

So, arrangements of 5 couples can be done in 5! × 2⁵= 3840 ways.

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Answer:

Step-by-step explanation:

154 times 3, and then you try simplifying that by 2. Then it'll give you 140.32

Answer:

Step-by-step explanation:

140.4 or rounded 140

The equation that can be used to determine the number of hours, h, that Jayden worked the week his paycheck was the same is 65.25 = 5.22h and total amount of money that Jayden made when both paychecks were the same is $202.85.

Given :

Jayden has two jobs. One week his paycheck was the same for both jobs. As a server he eared $9. 64 per hour plus $82. 35 in tips Working at a jewelry store he earned $14. 86 per hour plus $17. 10 in sales

A )

Let h be the number of hours

9.64 * h + 82.35 = 14.86 * h + 17.10

82.35 - 17.10 = 14.86h - 9.64h

65.25 = 5.22h

B )

The total amount of money :

= 9.64 * 12.5 + 82.35

= 120.5 + 82.35

= $202.85

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As per the given probability, this means that option (b) In a very large number of bridge deals, the percent of deals on which each player has 1 ace will be very close to 11%.

Probability:

In statistics, it denotes the possibility of the outcome of any random event.

Given,

Here we have given that You read in a book about bridge that the probability that each of the four players is dealt exactly one ace is about 0. 11.

Now, we need to find the meaning of the given probability.

Here We know that, Having one ace 10 or 12 times is likewise quite likely to happen.

And It is feasible to get 109,000 deals with just one ace.

Finally, For very large samples, the probability is always close to the corresponding percent.

Based on these details option (b) is correct.

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