Answer:
x = 0, -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Terms/Coefficients/DegreesFactoringSolving QuadraticsMultiple RootsStep-by-step explanation:
Step 1: Define
x² + 7x = 0
Step 2: Solve for x
Factor: x(x + 7) = 0Solve roots: x = 0, -7Find the values of x and y . Then find the measures of the interior angles of the polygon.
Step-by-step explanation:
It is a cyclic quadrilateral.
The sum of interior angles of this polygon is equal to 180 degrees.
ATQ,
2x+26y=180
x+13y=90 ....(1)
3x+21y=180
x+7y=60 ....(2)
Subtract equation (1) from (2).
x+7y-(x+13y) = 60-90
x+7y-x-13y=-30
-6y=-30
y = 5
Put the value of y in equation (1
x+13(5) = 90
x+65=90
x = 90-65
x = 25
So,
∠DAB = 26y = 26(5) = 130°
∠ABC = 3x = 3(25) = 75°
∠BCD = 2x = 2(25) = 50°
∠ADC = 21y = 21(5) = 105°
x = 25, y = 5
m∠DAB = 26(y) = 180°
m∠ABC = 3x = 75°
m∠BCD = 2x = 50°
m∠ADC = 21y = 105°
Property of a cyclic quadrilateral: Sum of the opposite angles of a cyclic quadrilateral is 180°.
From the picture attached,
ABCD is a cyclic quadrilateral. m∠A = 26y°, m∠B = 3x°, m∠C = 2x° and m∠D = 21y°By using the property of cyclic quadrilateral,
m∠A + m∠C = 180°
26y + 2x = 180
13y + x = 90 --------(1)
m∠B + m∠D = 180°
3x + 21y = 180
x + 7y = 60 --------(2)
Subtract equation (2) from (1),
(13y + x) - (x + 7y) = 90 - 60
6y = 30
y = 5
Substitute y = 5 in equation (1),
13(5) + x = 90
x = 90 - 65
x = 25
Substitute the values of 'x' and 'y' to get the measures of the angles,
m∠DAB = 26(y) = 180°
m∠ABC = 3x = 75°
m∠BCD = 2x = 50°
m∠ADC = 21y = 105°
Therefore, values of the variables will be,
x = 25, y = 5
m∠DAB = 26(y) = 180°
m∠ABC = 3x = 75°
m∠BCD = 2x = 50°
m∠ADC = 21y = 105°
Learn more about the cyclic quadrilateral here,
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help please, i’m failing school and i rly need help
Answer:
THe solution is where the 2 lines intersect!
Step-by-step explanation:
(-1,-3) (2,2)
please help me with this and pls don't answer if you don't know it.
Answer:
See below.
Step-by-step explanation:
The 3 marked angles add up to 360 degrees.
5x + 12 + 10x - 37 + 9x + 1 = 360
24x - 24 = 360
24x = 384
x = 384/24 = 16
The large angle at C = 10(16) - 37
= 160 - 37 = 123 degrees.
So m <BCA = 180 - 123
= 57 degrees (adjacent angles add up to 180).
A worker is stacking boxes. One stack has boxes that are 2 inches high. The other stack has boxes that are 5 inches high. At what height will the two stacks of boxes be equal in height?
Answer:
10
Step-by-step explanation:
With this question you must find the LCM for 2 and 5.
Multiples of 2= 2,4,6,8,10
Multiples of 5= 5,10
10 is the least common multiple making it the first number that the boxes can be at the same height with.
Answer:
7
Step-by-step explanation:
A worm squiggles 10 cm in 5 minutes. What was it average speed
help fast plz The temperatures recorded one day at two cities are shown below: City L: −8° F City M: −9° F Which statement about the temperatures at the two cities is true? (5 points)
a City M was warmer than City L because −9° F −8° F.
c City M was colder than City L because −9° F > −8° F.
d City M was colder than City L because −9° F < −8° F.
Answer:
I mean c and d but you wrote this weirdly
5.
Which of the following triangles is similar to the triangle shown below?
The first triangle is similar with given triangle.
Similar triangle:Two triangles are said to be similar, when corresponding sides of both triangles are in equal proportion and corresponding angles are equal.
From first option, It is observed all the sides of triangle are in the proportion with given triangle dimensions.
Given triangles dimensions are [tex]3,4[/tex] and [tex]5.[/tex]
First option triangles has dimensions [tex]6,8[/tex] and [tex]10[/tex].
Since, [tex]\frac{3}{6} =\frac{4}{8} =\frac{5}{10}=\frac{1}{2}[/tex]
Therefore, first triangle is similar with given triangle.
Learn more about the similar triangle here:
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WILL GIVE BRAINLIEST!! The yearly population of a city with a 3% yearly growth rate and an initial population of 30,000 can be modeled by the following function where x is time, in years, from 2015.
f(x) = 30,000(1.03)x
The mathematical domain of this function is all real numbers, and its range is all y-values greater than zero.
Which statements describe how the reasonable domain and range compare to the mathematical ones? Check all that apply.
The reasonable domain has a minimum value.
The reasonable domain does not include zero.
The reasonable range has a minimum value of 30,000.
The reasonable range includes zero.
The reasonable range has an implied, but unknown, maximum value.
1, 3, 5
The reasonable domain has a minimum value.
The reasonable range has a minimum value of 30,000.
The reasonable range has an implied, but unknown, maximum value.
Step-by-step explanation:
1. Years cannot be anything below 0.
2. The domain includes 0 because the answer can be the initial value.
3. 30,000 is the initial value and is the minimum solution.
4. The range has a minimal of 30,000.
5. Logically, we know city populations cant be numbers like a billion but we prove that mathematically.
Answer:
1. The reasonable domain has a minimum value.
3.The reasonable range has a minimum value of 30,000.
5.The reasonable range has an implied, but unknown, maximum value.
Step-by-step explanation:
10x18+a what is the pythagorean theorem
Answer:
the pythagreom theorem is the equation we use to find the sides of a triangle, the equation is a^2= b^2 + c^2 how the letters are arranged depends.
Can someone help me, I’m not good at math
Answer:
The answer will br 24.7
Step-by-step explanation:
Plus the breadth the height and the 7cm
Step-by-step explanation:
a = 7 cm
b = 10.4 cm
h = 6.7 cm
Area of trapezium = ?
we have the formula
Area of trapezium
= 1/2 * h ( a + b)
= 1 / 2 * 6.7 ( 7 + 10.4)
= 1/2 * 6.7 * 17.4
= 1/2 * 116.58
= 58.29 cm²
Hope it will help :)
Plzz hellllllppppp mmeeeeeee
Answer:
Step-by-step explanation:
first do (x + 6)(x+6)
= (x^2 + 6x + 6x + 36)
multiply all by 2
2x^2 + 12x + 12x + 72
simplify and subtract 50
2x^2 + 24x + 72 - 50
2x^2 + 24x + 22
hope this helps <3
HELP PLLSS
92;69
work included!
Answer:
92/69 cannot be simplified
Step-by-step explanation:
Maths
I’ll give brainiest:))
Answer:
x=2
y=3
Step-by-step explanation:
can you guys plzz help me
Answer:
9
Step-by-step explanation: if you look at the triangle LV and UW are the same length apart.
A withdrawal of AED 4,000 from your bank account.
The integer that represents the situation is
Answer:
The answer is -4000.
Step-by-step explanation:
The answer is -4000 because you took money from your bank account, withdraw.
Which of the following is not a polynomial?
a. -9/8
b. x2 - 9
c. 9/x + x/8
d. x2 - 9+ 8x
Find x for me please
Given:
In a right angle triangle,
Hypotenuse = x
Other two sides are (x-2) and 8.
To find:
The value of x.
Solution:
According to the Pythagoras theorem,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
Putting the given values, we get
[tex]x^2=(x-2)^2+(8)^2[/tex]
[tex]x^2=x^2-4x+4+64[/tex]
[tex]x^2-x^2+4x=68[/tex]
[tex]4x=68[/tex]
Divide both sides by 4.
[tex]x=\dfrac{68}{4}[/tex]
[tex]x=17[/tex]
Therefore, the value of x is 17.
Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven.
Evaluate the expression you wrote to find the amount Mr. Parker will pay if he drives 80 miles.
Answer:
$70
Step-by-step explanation:
$50+$(0.35*80)
$50+$20
=$70
Hope this helped! :)
[tex]f(x)= \frac{X^2-x-12} {5x^2+4x}[/tex]
Find all x-intercepts of the following function. Write your answer or answers as coordinate points. Be sure to select the appropriate number of x-intercepts.
Answer:
(- 3, 0 ), (4, 0 )
Step-by-step explanation:
To find the x- intercepts let f(x) = 0
[tex]\frac{x^2-x-12}{5x^2+ 4x}[/tex] = 0
The denominator cannot equal zero as this would make f(x) undefined.
Equate the numerator to zero and solve for x
x² - x - 12 = 0 ← in standard form
(x - 4)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 3 = 0 ⇒ x = - 3
x- intercepts are (- 3, 0 ) and (4, 0 )
Amanda is making cookies and only needs 3/5 of the 10 ounce bag of peanut butter
chips that she has in her pantry. How many ounces of the peanut butter chips does
Amanda need?
heese's
Peanut Butter CHIPS
1/5
1/5
1/5
Answer:
She needs 6 ounces of peanut butter chips.
hope this helped :-)
Step-by-step explanation:
10:5=2
1/5 = 2
1/5+1/5+1/5=
2+2+2=
2*3=6
What is the slope of y=5x-1
Answer:
The slope is 5
Step-by-step explanation:
Answer:
the slope of y= 5x-1 is m=5.
what is y-2=-3 (x-7) in standard form
A.y-2=--3x+21
B.y=-3x+23
C.3x+y-23=0
D.3x+y=23
9514 1404 393
Answer:
D. 3x +y = 23
Step-by-step explanation:
If you know what "standard form" is, then you recognize that only one offered answer choice is actually in standard form. That is the correct choice.
3x + y = 23
_____
Standard form for a linear equation is ...
ax +by = c
where a, b, c are mutually prime integers and a ≥ 0. If a = 0, then b > 0. (The leading coefficient is positive.)
A full glass of water can hold 1/6 of a bottle
How many glasses of water can be filled with 3 1/2 of water
Answer:
21
Step-by-step explanation:
Well you basically divide 3 and 1/2 by 1/6 which you would you have to simplify the 3 and 1/2 which is 7/2 and switch the denominator and numerator of the 1/6 which would be 6/1 and after you multiply(7/2 x 6/1=42/2) it would be 42/2 which you would have to simplify by dividing 42 and 2 which is 21. There you go I hope this helps.
Answer:
21.
Step-by-step explanation:
That would be 3 1/2 divided by 1/6.
= 7/2 / 1/6
= 7/2 * 6
= 42/2
= 21 glasses.
# 7. X/4=-2.5
# 8. -22=n/2
# 9. 1/3z=-5
# 10. -1/4x=5/2
Solve the equation for the value of the equation for the value of the variable show all work please please solve this problem for me please I am very late on it
Step-by-step explanation:
7. x/4=-2.5
x = -2.5/4= 5/8
8. -22=n/2
n = -22×2 =-44
9. 1/3z = -5
z = -5×3 =-15
10. -1/4x=5/2
-2=5×4x
-2=20x
x=-20x/2=-10
Hey i need this for an Exit ticket can i get some help?
Answer:
(-1,-1)
Step-by-step explanation:
Plug in to the equation.
y=2x+1
-1=2(-1)+1
-1=-2+1
-1=-1 :)
Answer:
See belowStep-by-step explanation:
Given:
Line y = 2x + 1There are two ways of finding if the points belong to the graph:
1. Graph the line and plot the points and confirm visually.
This is added for you, see attachedGreen line and green points are those given. It is visible all points are on the line apart from two of them: (0.5, 1) and (2, -1)The red points are additional ones2. Plug in the values into equation and confirm.
You have done couple of them and this can be continued to all listed points.Additional points are calculated same way.Pipe with an OD of 6.03 cm and an ID of 4.93 cm carries steam at 250◦C. The pipe is cov- ered with 2.5 cm of magnesia (85%) insulation followed by 2.5 cm of polystyrene insulation (k = 0.025 W/m · K). The temperature of the exterior surface of the polystyrene is 25◦C. The thermal resistance of the pipe wa
Please Help Fast It’s Pretty Easy a sew both question please and thank you
Answer:
5x-10=60 being vertically plopposite angle .
Answer:
14; vertical
Step-by-step explanation:
since these are vertical angles, they will equal the same;
5x - 10 = 60
add 10
5x = 70
divide by 5
x = 14
Please help.
3 more than 2 times a number is equal to that number plus 4. What is the number?
Answer:
number is 1
Step-by-step explanation:
let the number be n , then 2 times the number is 2n and 3 more than this is
2n + 3 , so
2n + 3 = n + 4 ( subtract n from both sides )
n + 3 = 4 ( subtract 3 from both sides )
n = 1
That is the number is 1
The required number is 1 which represents "3 more than 2 times a number is equal to that number plus 4"
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
Let the required number would be x.
According to the given question, translate the phrase into an algebraic equation:
3 + 2x = x + 4
Subtracting x from both sides gives:
3 + 2x - x = x + 4 - x
Simplifying the left side gives:
3 + x = 4
Subtracting 3 from both sides gives:
3 + x - 3 = 4 - 3
Simplifying the left side gives:
x = 1
Therefore, the required number would be 1.
Learn more about the number system here:
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A bag of marbles contains 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marbles. How many total possible outcomes are there when choosing a marble from the bag?
1. 4
2. 11
3. 14
4. 16
Answer:
the answer is.....wait for it.....
16
Step-by-step explanation:
express the following linear equation in the form of ax+by+c=0 and indicate the value of a,b and c. 2x+3y=-5
Answer:
2x+3y+5=0
a = 2 b = 3 c=5
Step-by-step explanation:
We are asked to express 2x+3y=-5 in the form ax+by+c=0
Add 5 to both sides
2x+3y+5=0
We can now find the values of a, b and c now that the equation is in standard form.