Answer:
It would be 166 degrees.
Step-by-step explanation:
Do 180-97 to get 83 degrees
Since the triangle is a isosceles triangle, the opposite side of it would also be 83 degrees, so 83+83
With this, do 180-83-83 to get 14 degrees for the third interior angle
Last, subtract this from 180 to get the value of x, 166 degrees.
Hope that helps.
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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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:
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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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]
a new health drink has 150% of the recommended daily allowance. there is a certain vitamin this vitamin is 40 mg. How many milligrams of the vitamin are in a drink?
The numbers of milligrams of the vitamin that are in a drink is 60 milligrams.
What is the vitamin about?The recommended daily allowance (RDA) for the vitamin is 40 mg. A new health drink has 150% of the RDA.
To find out how many milligrams of the vitamin are in a drink, you can use the following formula:
(RDA) x (percentage/100) = milligrams in a drink
So,
(40mg) x (150/100)
= 60mg
Therefore, there are 60 milligrams of the vitamin in a drink.
Note that the RDA of vitamins can vary depending on age, gender, and other factors, so always consult a doctor or nutritionist before starting to consume any new supplement.
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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
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?
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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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.
Write an algebraic expression that represents five less than the product of a number and six
Answer:
6n-5
Step-by-step explanation:
let 'n' equal 'a number'
the equation above means you are multiplying 6 and that number, then reducing it by 5
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
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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10. Jim estimates the width of his wall to be 7.5 feet. The actual wall measures 8.25 feet wide. What is
Jim's percent error?
Answer:
Below
Step-by-step explanation:
Error : (8.25 - 7.5)
% error : ( 8.25-7.5) / 8.25 * 100% = 9.1 %
Jim's percent error is 9.09%.
What is the percentage error?
The percentage error is given as the difference between the actual value and the estimated value divided by the actual value, multiplied by 100%.
The percentage error is a relative value that compares the actual value and the estimated value to explain any deviations.
Estimated width of wall = 7.5 feet
The actual width of the wall = 8.25 feet
The difference in estimate = (8.25 - 7.5) = 0.75 feet
Percentage Error = (0.75/8.25 x 100) = 9.09%
Thus, we can conclude that Jim made a percentage error of 9.09% in his estimate of the width of the wall.
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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50 POINTS!!NEED ASaP!!
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.
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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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A tugboat traveled -1.5 miles in 0.3 hours. What was its velocity?
Answer:
it is actually -5 because -1.5/0.3=-5
Step-by-step explanation:
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 €.
The diagram shows an isosceles triangle. All the measurements are in cm, work out the perimeter of the triangle.
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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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
What is the domain of the function f/x )= log?
The domain of the given function would be x > 0.
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The function f(x) = log is the natural logarithm function, also known as ln(x). The domain of this function is the set of all positive real numbers x such that x > 0, because the natural logarithm of a non-positive number is undefined.
Hence, the domain of the given function would be x > 0.
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The domain of the given function would be x > 0.
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The function f(x) = log is the natural logarithm function, also known as ln(x). The domain of this function is the set of all positive real numbers x such that x > 0, because the natural logarithm of a non-positive number is undefined.
Hence, the domain of the given function would be x > 0.
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65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in a) Swimming and cycling b) Cycling only c) Neither swimming nor visiting national parks nor cycling
Answer:
a)=57
b)=26
C)= 35
Step-by-step explanation:
there is 100 people recorded when they only wanted 65 so the 35 extra answers are not recorded.
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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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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.
plz help will mark brainliest!!!!
Answer: a
Step-by-step explanation:
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
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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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
Which equation is represented by the number line?
Answer:
Equation 1: 6 + (-10) = -4
Step-by-step explanation:
1st segment starts at 0 and goes 6 units right so: +6
Second segment starts at 6 and goes 10 units left, so: -10
Finally the second segment lands on -4, so all together:
+6 + (-10) = -4 or 6 + (-10) = -4
Hope this helps!