The value of x would be 32.
What are a congruent quadrilaterals?
In geometry, two figures are congruent if they have the same size and shape. Congruent figures can be moved or oriented in different ways, but they will always match up exactly. In the case of quadrilaterals, they are congruent when they have the same side lengths and corresponding angles.
In the given figure PQRS ~ WXYZ
x = YZ
x = 32.
Hence, the value of x would be 32.
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By analyzing the figure, The value of x would be 32.
What are a congruent quadrilaterals?In geometry, two figures are congruent if they have the same size and shape. Congruent figures can be moved or oriented in different ways, but they will always match up exactly. In the case of quadrilaterals, they are congruent when they have the same side lengths and corresponding angles.
In the given figure PQRS ~ WXYZ
x = YZ
x = 32.
Hence, the value of x would be 32.
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Olivia owns a pastry shop, and needs to fill an order for 700 cupcakes
She already has 15 cupcakes made, and she can make 137 cupcakes
hour. How many hours does Olivia need to fill the order?
Olivia needs
more hours.
Answer:
5 hours
Step-by-step explanation:
Olivia needs to make 700 - 15 = <<700-15=685>>685 cupcakes.
So she needs to work for 685 / 137 = <<685/137=5>>5 hours
Work out the value of (6.31 x 10^5)+(2.6 x 10^4)
Give your answer in standard form
Answer: standard form of (6.31×10⁵ ) + (2.6×10⁴) is 65.7 × 10⁴.
What is a simplification of an expression?
Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
As given,
(6.31×10⁵ ) + (2.6×10⁴) = ( 6.31× 10⁴ ×10 ) + (2.6 × 10⁴ )
= ( 6.31 × 10 + 2.6 )
= ( 63.1 + 2.6 )
= ( 65.7 )
= 65.7 × 10⁴
Hence, the standard form of ( 6.31× 10⁵) + (2.6 × 10⁴) = 65.7 × 10⁴.
[tex](6.31\times 10^{5})+(2.6\times 10^{4})\implies 6\underline{31000}+2\underline{6000} \implies \text{\LARGE 657000}[/tex]
What is line segment class 7?
In geometry, a line segment is bordered by two distinct points on a line. Or we can say a line segment is a portion of the line that connects two points.
The length of the line segment does not differ and the distance between them does not change. The units in which a line can be estimated are centimetres, millimetres, meters, inches, or feet.
A closed-line segment has both endpoints, whereas an open-line segment has two endpoints. A line segment that has only one endpoint is known as a half-open line segment.
A line segment with two endpoints P and Q and is denoted by the bar symbol (—).
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One of the roots of the equation x^2-5x+q=0 is 2. Find the other root and the value of the coefficient q.
The value of q in the given equation x²- 5x + q = 0 will be 4.
What is a polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics. Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.
given an equation x²- 5x + q = 0 and the question states that it has a root that is equal to 2
Since 2 is the root of this quadratic equation it will satisfy the equation
Substituting the values in the equation
4 - 5*2 + q = 0
q = 6
Equation will be
x²- 5x + 6 = 0
The root of the given equation using the fraction method
x²- 3x - 2x + 6= 0
(x -2)(x - 3) = 0
The root of the given equation are 2 and 3
Therefore, In the given equation x²- 5x + q = 0 the value of q will be 4.
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The table shows pairs of values for the linear function f(x) = 3x
f(x)
-2
1
4
7
10
X
0
1
2
3
4
Which conjecture about linear functions in general is best supported by the
table?
Equal changes in the value of x
result in equal changes in the value
of y.
B. The difference between the x- ar
y-values in each ordered pair (x,
is a constant.
Answer:
the answer is. The answer is
57
Step-by-step explanation:
It take Thorton 4 hour to edit a video for hi chool. If he ha already pent 2. 5 hour on thi video, what percent of the video i edited?
Using the concept of fraction, the percentage edited on the video is 62.5 percent.
What is Percentage
Percentage is a standard mathematical concept used to express a portion of a whole number in terms of a hundred. It is denoted by the symbol “%” and is often expressed as a fraction or a decimal. For example, 25% can be expressed as 0.25 or 1/4.
In this problem, Thorton has done a 2.5 hours work. The percentage he has edited can be calculated using fraction or ratio as;
percentage edited = (2.5 / 4) × 100
Percentage = 0.625 × 100
Percentage = 62.5 %
From the above, Thorton has edited 62,5 percent of the video for his school project.
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I’ll give brainlist to correct answer. No links or report
Answer:
The slope is 7!
Step-by-step explanation:
Answer:
The slope is 7
Step-by-step explanation:
Use the distributive property to distribute 7 to x and -7. 7(x-7) is the same as 7(x)+7(-7) which is 7x-49. Therefore, the equation will be y+4=7x-49. We want to isolate y so we have to subtract 4 from both sides. y=7x-53. The number with the x is the slope. Therefore, the slope is 7.
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Carlton is using the following data samples to make a claim about the house values in his neighborhood:House ValueA $100,000B $600,000C $650,000D $700,000E $900,000Based on the data, should Carlton use the mean or the median to make an inference about the house values in his neighborhood?He should use the median because there is an outlier that affects the mean.He should use the mean because there are no outliers that affect the mean.He should use the mean because it is in the center of the data.He should use the median because it is in the center of the data.
The option A "He should use the median because there is an outlier that affects the mean." is correct.
It is clear from the data that option E's house is much more expensive than those in the other options. A $9,00,000 price is therefore an outlier in this set of data.
In symmetrically distributed data, an inference is made using the mean. Due to the inclusion of an outlier, the data is not symmetrical. As a result, the mean won't accurately depict the data's centre. As a result, we shall refrain from drawing conclusions about the pricing of the residences using the mean.
Therefore, since the median is unaffected by outliers, we shall use it.
Therefore, since there is an outlier that influences the mean, we will utilise the median. The answer is (A).
Your sincere criticism is crucial for better outcomes.
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f(x) = -1/2x^2 + 3/2x - 2 I need to find the zeros
Answer:
{-1, 4}
Step-by-step explanation:
In the given f(x) = -1/2x^2 + 3/2x - 2
set f(x) = 0 and then multiply all the numeric terms by -2 to remove the fractions:
f(x) = -1/2x^2 + 3/2x - 2 = 0 => 1x^2 - 3x - 4 = 0
This factors into (x - 4)(x + 1) = 0, whose roots are {-1, 4}. These are the zeros.
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A circular table has a diameter of 3 feet. Kristin is taping a piece of border around the edge of the table. Exactly how much border does Kristin need?
Exact length of border required by Kristin is calculated to be 9.42 ft.
This question can be solved using the concept of circumference of a circle.
The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were expanded out and straightened out to a line segment, the circumference would be the length of the arc. The curve/arc length around any closed figure is more often referred to as the perimeter. The term "circumference" can also refer to the circle's actual location, which corresponds to a disk's edge. A sphere's circumference is equal to the length of any one of its great circles.
Circumference of a circle is given by 2πr.(r is the radius of the circle)
In the given question,
diameter= 3ft
radius= half times of diameter
radius= 1.5 ft.
Circumference= 2πr
= 2×3.14×1.5
=9.42 ft
Kristin will require 9.42 ft of border around the edge of the table.
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What is the perimeter of the following composite figure?
1. 35.13 yd
2. 21 yd
3. 47.13 yd
4. 42 yd
Answer: 42 yd
Step-by-step explanation: For the perimeter you add up all sides of the figure.
9+9+12+12=42 yd
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What is the equation, in standard form, of a circle with center (−5, −9) and radius 7?
Answer:
Equation of a circle:
(x - h)² + (y - k)² = r², where (h, k) is the center and r- radiusSubstitute the given values to get the equation of this circle:
(x - (-5))² + (y - (-9))² = 7² ⇒(x + 5)² + (y + 9)² = 49Answer:
Solution given:
Centre(h,k)=(-5,-9)
radius (r)=7
we have
Equation of a circle is;
(x-h)²+(y-k)²=r²
Substituting value;
(x+5)²+(y+9)²=7²
(x+5)²+(y-9)²=49 is a required equation of a circle.
what are the zeros of the quadratic function f x equals 2x ^ 2 + 15x - 9
a=2 b=15 c=-9
[tex]( - b + - \sqrt{b ^{2} - 4ac } ) \div 2a[/tex]
+ =0.5584
- =-8.0584
maddox has $12.25 to spend on sports drinks. Each drink costs $1.75. Use the guess, check, and revise strategy to solve the equation 1.75d=12.25 to find d, the number of drinks Maddox can buy.
Diaz has a company car that allows him to drive up to 1,500 miles each month. He averages 28 miles each day. The remaining miles for this month can be calculated using the formula m = 1500 - 28d where m is the remaining miles and d is the is the number of days driven this month. Which of the following statements is true?
The remaining miles are 660 miles.
This month, Diaz drives 28 miles each day using the car allotted to him by his company.
But the company allows him to drive up to 1500 miles each month by his car.
To calculate the remaining miles that Diaz has not traveled this month, we have to use the formula m = 1500 - 28d, where d is the number of days in that particular month.
A month general consists of 30 days.
So, this month Diaz has traveled 28×30 miles = 840 miles ( using multiplication)
Therefore, the remaining miles(m) that Diaz has not traveled this month comes to 1500 - 840 = 660 miles.
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The complete question is:
Diaz has a company car that allows him to drive up to 1,500 miles each month. He averages 28 miles each day. The remaining miles for this month can be calculated using the formula m = 1500 - 28d where m is the remaining miles and d is the number of days driven this month. What are the remaining miles?
Un vendedor ambulante compra camisetas a 6 € y las vende a 11 €. ¿Cuántas camisetas debe vender para obtener una ganancia de 400 €?
Answer:
El vendedor ambulante debe vender 80 camisetas para obtener una ganancia de 400 €.
Step-by-step explanation:
La ganancia que obtiene el vendedor es el resultado de restar el costo total menos las ventas totales. El costo total es igual al costo por camiseta por el número de camisetas y las ventas totales son iguales al precio de venta por el número de camisetas vendidas, lo que se puede expresar de la siguiente forma:
x=11y-6y
x=5y, donde:
x es la ganancia
y es el número de camisetas
Dado que se quiere obtener una ganancia de 400, este valor sería x, y debes despejar y:
400=5y
y=400/5
y=80
De acuerdo a esto, la respuesta es que el vendedor ambulante debe vender 80 camisetas para obtener una ganancia de 400 €.
betsy correctly answered 19 of 25 trivia questions. What percent of the questions did she answer correctly?
1.14 is the answer just do 19%=1.14
HEEELLP me PLEASE!!!
Answer:
T=(I/p)/r
Step-by-step explanation:
I = Prt is the same thing as: I = P*r*t
We want the answer to be as:
T = ???
The only thing you need to do is the get T to one side.
1. [tex]I = P*r*t[/tex]
2. [tex]I/p=r*t[/tex]
3. [tex](I/p)/r=t[/tex]
4. [tex]t=(I/p)/r[/tex]
In the diagram below lines p and r are parallel. Line s is a Transversal that is not perpendicular to lines p and r
which angle is not congruent to <5
(Geometry)
Answer: Any of the following angles are not congruent to angle 5.
angle 2angle 4angle 6angle 8The only exception being that if angle 5 is 90 degrees, then so are the remaining four angles shown above (in fact, all 8 angles are right angles).
========================================================
Explanation:
Angles 2 and 5 are supplementary since line p is parallel to line r. This means angle 2 and angle 5 add to 180 degrees. The two angles are only congruent if both are right angles (aka 90 degree angles); otherwise, they are not congruent angles.
Angle 2 = angle 4 because they are vertical angles. So because these two angles are congruent, and angle 2 does not have the same measure as angle 5, this consequently leads to angle 4 also not being the same measure as angle 5 (unless both are right angles).
Angle 2 = angle 8 because they are alternate interior angles. Following the same logic path as the last paragraph, we see that angles 8 and angle 5 aren't the same measure. Or we could note that angle 5 and angle 8 form a straight angle, so they must add to 180 degrees. The two angles are only congruent if they were 90 degrees each, or otherwise not congruent at all.
Similar logic can also show that angle 6 is not congruent to angle 5.
---------------------------
An alternative path is to find all the angles that are always congruent to angle 5 and they are...
angle 1 (corresponding angles)angle 3 (alternate interior angles)angle 7 (vertical angles)And everything else is not congruent to angle 5.
How do you graph a slope of 3 4?
if the y-intercept is (0,5), you have:
y = (3/4)x + 5
How to slope a graph?To graph a line with a slope of 3/4, you can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.
Since the slope is 3/4, the equation of the line is y = (3/4)x + b.
To find the y-intercept, you can plug in the coordinates (0,b) into the equation. So if the y-intercept is (0,5), you have:
y = (3/4)x + 5
You can then plot the point (0,5) on the graph, and use the slope of 3/4 to find the next point by going up 3 and right 4.
Another way is to pick two points on the line and plot them, you can use the slope formula (rise over run) to find the next point on the line.
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What is the discriminant of the quadratic equation 2x 5x^2 1?
The discriminant of the quadratic equation 2x + 5x² = 1 is 24.
The discriminant of a quadratic equation is the value calculated from the coefficients of the quadratic equation and it gives information about the nature of the roots of the equation. The discriminant can be used to determine the number and type of solutions/roots of the equation.
-If the discriminant is greater than zero, the equation has two distinct, real solutions (or roots).
-If the discriminant is equal to zero, the equation has one real solution (or root).
-If the discriminant is less than zero, the equation has no real solutions (or roots), only complex solutions.
The discriminant of the quadratic equation ax² + bx + c = 0 is b² - 4ac.
Plug in the values and solve for the discriminant of the quadratic equation 2x + 5x² = 1.
b² - 4ac = (2)² - 4(5)(-1) = 24
Hence, the discriminant is 24.
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2) A circle with a center
of (-2, 2) has a radius of 10.
Is the point (7, 7) on the circle?
Answer: (x−7)2+y2=100. Explanation: the standard form of the equation of a circle is.
Step-by-step explanation:
Each league plays 80 games in a month.
Based on the mean from the sample, how many more goals will be scored in the English League than in the French League in a month?
Answer:
Step-by-step explanation:
the answer is 152
What is the solution
Answer: (-1,-1)
3rd option
Step-by-step explanation:
If it is 10:00 A.M. Friday in Miami, Florida Eastern time zone (based on 75o W), what is time and day is it in Los Angeles California (120oW), Pacific Time zone
Therefore, the answer to the time dilemma is 7 am on Friday, which is the right choice.
Define time.In mathematics, time is described as a continuously and continuous series of events that take place in chronologically from the past through to the present and into the future. The duration of events, the gaps between them, or even the sequence of occurrences can all be quantified, measured, or compared using time.
Here,
If it is 10 a.m. on Friday in Miami, Florida's Eastern time zone, it is 7 a.m. on Friday in Los Angeles,
California's (120 o W) pacific time region
since Miami, Florida's Eastern time zone is three hours early of Los Angeles.
Thus,
the correct response is 7 am on Friday.
Therefore, the answer to the time dilemma is 7 am on Friday, which is the right choice.
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PLEASE HELP ASAP!! :D
Answer:
Scale factor 2
Step-by-step explanation:
I compared the length of each side.
TS was 6 units long, while HG was 3
6/3 = 2
You can do the same with other sides, since the shapes are congruent.
RS is 4 units, and FG is 2
4/2 = 2
Answer:
Oh so this is the other thing
Step-by-step explanation:
Anyways the scale factor is two
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Lorena and Karla are creating an art project in the shape of a right triangle. They have a 92 cm-long piece of wood, which is to be used for the hypotenuse. The two legs of the triangular support are of equal length. Approximately how many more centimeters of wood do they need to complete the support?
A. 65.1 cm
B. 130.1 cm
C. 260.2
D. 125.7
Approximately [tex]130.1[/tex] cm more centimeters of wood will need to complete the support.
What is right triangle ?Right triangle is a triangle in which one angle is of [tex]90^0[/tex] .
We have,
Hypotenuse [tex]=92[/tex] cm
Let,
Perpendicular [tex]= x[/tex] cm
Base [tex]=x[/tex] cm
So,
Using the Pythagoras theorem,
[tex]H^2=P^2+B^2[/tex]
So,
[tex]92^2=x^2+x^2[/tex]
[tex]92^2=2x^2[/tex]
⇒
[tex]2x^2 = 8464[/tex]
[tex]x^2 = 4232[/tex]
⇒[tex]x=65.05[/tex]
So,
Perpendicular [tex]= 65.05[/tex] cm
Base [tex]=65.05[/tex] cm
So,
The required wood to complete support [tex]=65.05+65.05=130.1[/tex] cm
Hence, we can say that approximately [tex]130.1[/tex] cm more centimeters of wood will need to complete the support.
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Which ordered pairs are the answer
Answer:
(4,14) (8,28))
Step-by-step explanation:
3.5(4) = 14
3.5(8) = 28
Question 15 of 27
What are the zeros and x-intercepts of this quadratic function?
-5
A. Zeros: -2 and 1
5
-5
Select two answers: one for the zeros and one for the x-intercepts.
5
B. Zeros: -1 and 2
C. x-Intercepts: (-1,0) and (2,0)
D. x-Intercepts: (0, -1) and (0, 2)
E. Zeros: 1 and 2
OF. x-Intercepts: (-2, 0) and (1, 0)
Correct options are: A. Zeros: -2 and 1
E. x-Intercepts: (-2, 0) and (1, 0)
What are zeros & x-intercepts of quadratic function?
The zero of the function is where the y-value is zero.
The x-intercept is where the graph crosses the x-axis.
The zeros of a quadratic function are the values of x for which the function equals zero. In other words, they are the solutions to the equation f(x) = 0. For the given quadratic function, the zeros
are -2 and 1.
The x-intercepts of a function are the points at which the function crosses the x-axis. In other words, they are the solutions to the equation f(x) = 0 when y = 0. For the given function, the x-intercepts are (-2, 0) and (1, 0) which are the points on the x-axis where the function crosses it.
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Answer: a
Step-by-step explanation: