What is the value for y?
What is the value of x?
Enter your answer in the box.
x =
Equiangular triangle A B C. Angles A, B, and C are marked congruent. The length of side A C is labeled as 5 x minus 22. The length of side A B is labeled as 4 x minus 10. The length of side B C is labeled as 3 x plus 2.
Enter your answer in the box.
y =
An isosceles triangle A B C with horizontal base B C and vertex A is above the base. Side A C and C B are labeled with single tick mark. All the three angles are labeled. Base angles C A B is labeled as 50 degrees and angle C B A is labeled as 2x degrees. The angle A C B is labeled left parenthesis 5 y plus 10 right parenthesis degrees.
Answers
1. The value of x in the equilateral triangle is: 12
2. x = 25; y = 14
What is an Equilateral Triangle?If a triangle has three sides that are marked congruent, then the triangle is an equilateral triangle.
1. Since triangle ABC is an equilateral triangle and its sides are equal, therefore:
5x - 22 = 3x + 2 [congruent sides]
Solve for x
5x - 3x = 22 + 2
2x = 24
2x/2 = 24/2
x = 12
The value of x is: 12.
2. Base angles of an isosceles triangle are congruent, therefore:
2x = 50
x = 50/2
x = 25
Thus, using the triangle sum theorem, we have:
2x + 50 + 5y + 10 = 180
Plug in the value of x and find y
2(25) + 50 + 5y + 10 = 180
50 + 50 + 5y + 10 = 180
110 + 5y = 180
5y = 180 - 110
5y = 70
y = 70/5
y = 14
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Related Questions
In need of help in algebra, 4 questions help please
Answers
The solution to all the given equation has been determined.
What is an Intercept ?An intercept is the point at which a straight line intersects the x or y axis.
The equation given are
5x-4y = -20
x+5y = 5
x+4y = 4
x+2y = 6
All the equations are plotted on the graph and the value of the intercept are determined
For Equation 1
The solution is x = 0 , -4 , y = 4 , 0
For Equation 2
The solution is x = 0 ,5 , y=1 ,0
For Equation 3
The solution is x = 0,4 ; y = 1 ,0
For Equation 4
The solution is x =0,6 ; y = 3 ,0
The graph are attached with the answer.
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Consider a student loan of $12, 500 at a fixed APR rate of 9% for 25 years.
a. Calculate the monthly payment
b. Determine the total amount paid over the term of the loan
c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.
Answers
The monthly payment is; $104.9; The total amount paid over the term of the loan is; $31470
How to calculate APR?
We are given;
Loan principal = $12,500
Interest rate = 12%
Number of payments per year = 12 payments per year.
Loan term = 25 years.
Formula for monthly payment is;
PMT = (p * APR/n)/[1 - (1 + APR/n)^(-nY)]
Where;
p is principal
APR is interest rate
n is number of payments per year
Y is loan term
Thus;
PMT = (12500 * 0.09/12)/[1 - (1 + 0.09/12)^(-12 * 25)]
PMT = 93.75/(1 - 0.106288)
PMT = $104.9
B) Total amount paid over the loan term is;
A = PMT * m * n
where;
m is number of months in a year,
n is number of years
A = 104.9 * 12 * 25
A = $31470
C) The principal as a percentage of the loan is;
P/A = 12500/31470
P/A = 39.72%
Percentage paid for interest is = 100% - 39.72% = 80.28%
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Which number should replace the ç to make the subtraction problem correct?
9.866
- 7.97ç
1.889
Answers
Answer:
7
Step-by-step explanation:
for you to get the missing number just take the complete numbers and minus them then you'll get the incomplete digit needed good day.
If a-4b=18,what is 3a/81b
Answers
Answer:
You cannot solve this problem with only one given equation
Step-by-step explanation:
You need at least 2 equations to solve for two variables.
A student survey his classmates to determine their favorite movies
Answers
Answer:
The answer is C. Hope it helps
Britney sells mattresses at a furniture store. She makes a 9.75% commission on each mattress she sells. Last week, Britney sold four mattresses. The sale price of each mattress is shown in the table.
How much did Britney earn last week?
Enter your answer in the box.
$
Mattress sale Amount
Mattress 1 $2400
Mattress 2 $3200
Mattress 3 $1900
Mattress 4 $800
Answers
Answer:
$809.25
Step-by-step explanation:
→ Find the sum of the sales amount
2400 + 3200 + 1900 + 800 = 8300
→ Find the amount that s commission
( 9.75 × 8300 ) ÷ 100 = $809.25
Question 1(Multiple Choice Worth 5 points) (04.02 MC) What are the domain and range of the function f of x is equal to the quantity x squared plus 8x plus 7 end quantity divided by the quantity x plus 1 end quantity? D: {x ∊ ℝ | x ≠ 1}; R: {y ∊ ℝ | y ≠ 0} D: {x ∊ ℝ | x ≠ −1}; R: {y ∊ ℝ | y ≠ −6} D: {x ∊ ℝ | x ≠ −7}; R: {y ∊ ℝ | y ≠ 0} D: {x ∊ ℝ | x ≠ −1}; R: {y ∊ ℝ | y ≠ 6}
Answers
The domain and the range of the function is (d) D: {x ∊ ℝ | x ≠ -1}; R: {y ∊ ℝ | y ≠ 6}
The complete questionWhat are the domain and range of the function f(x) = x^2 + 8x + 7/x + 1
The domain of the functionWe have the function to be
[tex]f(x) = \frac{x^2 + 8x + 7}{x + 1}[/tex]
Set the denominator to 0
x + 1 = 0
Solve for x
x = -1
This means that the domain of the function is the set of all real numbers except -1
Hence, the domain of the function is {x ∊ ℝ | x ≠ -1}
The range of the functionWe have the function to be
[tex]f(x) = \frac{x^2 + 8x + 7}{x + 1}[/tex]
Factorize the numerator
[tex]f(x) = \frac{(x + 1)(x + 7)}{x + 1}[/tex]
Simplify
f(x) = x + 7
The function is undefined at x= -1.
So, we have:
f(-1) = -1 + 7
f(-1) = 6
This means that the range of the function is the set of all real numbers except 6
Hence, the range of the function is {y ∊ ℝ | y ≠ 6}
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Answer:
It is d) D: {x ∊ ℝ | x ≠ -1}; R: {y ∊ ℝ | y ≠ 6}
Step-by-step explanation:
I took the test
Which of the following best describes a tessellation?
O A. An arrangement of repeating shapes with spaces between the
shapes and overlapping shapes
B. The point about which an image is rotated in rotational symmetry
C. An arrangement of repeating shapes with no spaces or overlaps
between them
D. The axis about which an image is rotated in reflectional symmetry
Answers
The statement that best describes a tessellation is an arrangement of repeating shapes with no spaces or overlaps between them. Option C
What is tessellation?
A tessellation can be defined as a pattern of geometric shapes that fill a two-dimensional space without gaps and overlaps
It is also known to repeat infinitely in all directions.
Thus, the statement that best describes a tessellation is an arrangement of repeating shapes with no spaces or overlaps between them. Option C
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please answer me please
Answers
Step-by-step explanation:
please mark me as brainlest
Step-by-Step Explanation:
Factorize by Splitting the Middle Term :-
4x^2 + 20x + 25
4x^2 + 10x + 10x + 25
2x(2x + 5) + 5(2x + 5)
(2x + 5)(2x + 5)
This is the Factorized Form.
what is the simplified equivalent of the terminating
Answers
The simplified fractional equivalent of 0.25 is 1/4 .
The complete question is
What is the simplified fractional equivalent of the terminating decimal 0.25?
What is simplified equivalent ?When a number is solved to a state where it cannot be further simplified , but can be written in a different format , the two numbers are then called the simplified equivalent of each other.
The given number is decimal 0.25
So this number is in its simplified state but can also be written as
0.25 * 1
= 0.25 * 100 /100
= 25/100
= 1/4
Therefore 1/4 is the simplified fractional equivalent of 0.25.
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Frankie’s weekly budget includes a long-term goal of purchasing a car. He is saving $15 a week toward that goal. He is considering saving up his money to purchase his grandmother’s older car. Frankie knows his grandmother has maintained the car and it is in good condition. She is also giving him a greatly discounted price of $800. What should Frankie consider before buying the car? Check all that apply. what he will be giving up if he spends $800 on the car the cost to maintain (oil, tires, gas, brakes) and insure the car how many of his friends have cars his short- and long-term financial goals if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs
Answers
The decision of purchasing a car must be taken by Frankie after considering the following points:
1. what he will be giving up if he spends $800 on the car
2. The cost to maintain and ensure the car
3. his short- and long-term financial goals
4. if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs.
What is the point he must know about purchasing a car?Frankie is an individual person when he wants to purchase a car that is his long-term goal.
he must consider various things before making such a big expenditure.
The points to be noted before purchasing a car are:
what is the cost for Frankie for spending $800?
What will be the maintenance and insurance cost?
He must check his other short and long-term goals before purchasing a car.
Is the expense of the car a necessity for Frankie or he can use public transport.
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Answer:
Step-by-step explanation: thank me later
A,B,E
2 ft
4.5 ft
6 ft
A) 38 cubic feet
B) 54 cubic feet
C)
66 cubic feet
D) 125 cubic feet
What is the volume?
Answers
Answer:
B
Step-by-step explanation:We know Volume = (a*b*c)
Answer:
B) 54 cubic feet
Step-by-step explanation:
Expand each expression A ( x+1)^2 B(x-3)^2. C ( x+4)^2 D (x-1/2)^2
Answers
The expanded expressions are shown below:
(x + 1)² = x² + 2 · x + 1(x - 3)² = x² - 6 · x + 9(x + 4)² = x² + 8 · x + 16(x - 1/2)² = x² - x + 1/43 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75(1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2How to expand perfect square trinomials
Perfect square trinomials are polynomials of grade 2 with the form (a + b)² = a² + 2 · a · b + b². In this case, we have to expand six perfect square trinomials:
a) (x + 1)² = x² + 2 · x + 1
b) (x - 3)² = x² - 6 · x + 9
c) (x + 4)² = x² + 8 · x + 16
d) (x - 1/2)² = x² - x + 1/4
e) 3 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75
f) (1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2
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pls see the attachment
Answers
24 of the 720 numbers have the numbers 1, 2 and 3 in that order
How to determine the number of arrangements?The digits are given as:
1, 2, 3, 4, 5, and 6
For 1, 2 and 3 to come in that order, then the three numbers must be treated as a digit
So, we have:
(123), 4, 5, and 6
Now, there are 4 digits.
The number of arrangements is then calculated as:
Arrangements = 4!
Expand
Arrangements = 4 * 3 * 2 * 1
Evaluate
Arrangements = 24
Hence, 24 of the 720 numbers have the numbers 1, 2 and 3 in that order
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file attached belowfile attached below
Answers
explanation: im not sure what youre asking
Which statement is true about the end behavior of the
graphed function?
As the x-values go to positive infinity, the function's
values go to negative infinity.
As the x-values go to zero, the function's values go
to positive infinity.
As the x-values go to negative infinity, the function's
values are equal to zero.
As the x-values go to positive infinity, the function's
values go tO positive infinity.
Answers
Answer:
As the x-values go to positive infinity, the function's
values go to negative infinity.
Step-by-step explanation:
upon viewing the graph you will notice that the function in blue will appear to go down (negative) as you follow the x to the right, in the positive direction.
Making your answer to be as the x goes to positive inf (right) the values of the function go to negative inf (down).
Which expressions are completely factored?
30a^6-24a^2=3a^2(10a^4-8)
Answers
The factorisation of the given algebraic expression is [tex]6a^{2} (5a^{4}-4 )[/tex].
The given expression is [tex]30a^{6} -24a^{2}[/tex].
We need to factorise the given expression.
What are the factors?Each of these numbers and expressions is referred to as a factor of algebraic expressions if it is possible to express algebraic expressions as the product of numbers, algebraic variables, or algebraic expressions.
Now, [tex]30a^{6} -24a^{2}=6a^{2} (5a^{4}-4 )[/tex]
Therefore, the factorisation of the given algebraic expression is [tex]6a^{2} (5a^{4}-4 )[/tex].
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3+7=6-|-x|
Solve for x.
Thanks :)
Answers
Answer:
no solution
Step-by-step explanation:
| | is a notation for absolute value, which is the distance that a number is from 0.
you can think of this as the "positive version" of a number
so, |-x| will become: x
We can plug this into the equation, and solve like we would for any variable
3 + 7 = 6 - |-x| {simplify}
3 + 7 = 6 - x {simplify}
10 = 6 - x
Now, we can isolate x (isolate = get it alone)
10 = 6 - x
-6 - 6 {subtract 6 from both sides}
4 = -x {multiply both sides by -1 to get positive x}
·-1 ·-1
- 4 = x
{check solution:}
3 + 7 = 6 - | -4 |
10 = 6 - 4
10 = 2
FALSE
because this solution has been found to be false, there is no possible value for x
we write this as: no solution
[tex]3+7=6-|-x|\\10=6-|x|\\|x|=-4\\x\in\emptyset[/tex]
1.) I can find my Vulome if the vulome of cylinder is multiplied by 4/3 who am i?
2.)The Vulome is 1/3 that of a cylinder that has the same base and height with me. Who am I?
Answers
If the volume of a cylinder is multiplied by 4/3, it would become the volume of a sphere. Thus, you're a sphere.
How to calculate the volume of a cone?Mathematically, the volume of a cone can be calculated by using this formula:
V = 1/3 × πr²h
Where:
h is the height.r is the radius.How to calculate the volume of a sphere?Mathematically, the volume of a sphere can be calculated by using this formula:
V = 4/3 × πr³
Similarly, the volume of a cylinder can be calculated by using this formula:
V = πr²h
In this context, we can infer and logically deduce that if the volume of a cylinder is multiplied by 4/3, it would become the volume of a sphere. Also, multiplying the volume of a cylinder by 1/3 would produce the volume of a sphere.
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En una tienda se fabrican dos tipos de mesas, de 3 y 4 patas. En total se tienen 89 mesas para vender. Se sabe que el quíntuple de las mesas de 3 patas más la cantidad de mesas de 4 patas es igual a 277. ¿ Cuántas mesas de 3 patas se tienen para vender?
Answers
En una tienda se fabrican
La cantidad de mesas de 3 patas que tiene para la venta la tienda que las
fabrica es: 47
¿Qué es un sistema de ecuaciones?
Es un arreglo de ecuaciones que se caracteriza por tener el mismo número de incógnitas que de ecuaciones.
Existen diferentes métodos para su resolución:
Sustitución: se despeja de una ecuación una variable, quedando en función de otra para luego sustituirla en otra ecuación y así obtener
Igualación: se despeja la misma variable en dos de las ecuaciones y se igualan los resultados.
Eliminación: se resta o suman dos ecuaciones para que quede un resultado en función una variable y así despejarla.
Gráfico: se grafican las rectas y el punto de intersección es la solución del sistema.
¿Cuántas mesas de 3 patas se tienen para vender?
Definir;
x: mesas de 3 patas
y: mesas de 4 patas
Ecuaciones
x + y = 89
5x + y = 277
Aplicar método de eliminación;
Restar 1 - 2;
x + y = 89
-5x - y = -277
-4x + 0 = -188
Despejar x;
x = 188/4
x = 47
Sustituir;
47 + y = 89
Despejar y;
y = 89 - 47
y = 42
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world problem in length (trigonometry) geometry not chemistry
Answers
Answer:
≈ 47.2 m
Step-by-step explanation:
let the height from the sea to the base of lighthouse be h₁
let the height from the sea to the top of the lighthouse be h₂
using the tangent ratio in the right triangle
tan55.1° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h_{1} }{610}[/tex] ( multiply both sides by 610 )
h₁ = 610 tan55.1°
tan56.5° = [tex]\frac{h_{2} }{610}[/tex] ( multiply both sides by 610 )
h₂ = 610 tan56.5°
then
height of lighthouse = h₂ - h₁
= 610 tan56.5° - 610 tan55.1°
= 610(tan56.5° - tan55.1° )
≈ 47.2 m ( to the nearest tenth )
what is life?bhkbkbkjnmmkjopjlknm nbgvuyihjknm
Answers
Answer:
yessss
Step-by-step explanation:
yessssssss
The condition that distinguishes organism from inorganic objects and dead organisms, being manifested by growth through metabolism, reproduction, and the power of adaptation to the environment through changes originating internally.
Write the ratio as a fraction in lowest terms.
Compare in inches.
4 feet to 49 inches
Answers
Answer:
48/49
Step-by-step explanation:
divison and multiplcation
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the expressions given in words with their values when m = 6. 2 15 42 3 21
Answers
The matching is done below
What is expression?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
1) 3 is the difference of 2 times d minus 3.
As, 2*d - 3
=2*3 - 3
=6 - 3
= 3
2) 4 is 4 added to the difference of d minus 3.
or, 4 + (d - 3)
or, 4 + (3 - 3)
or, 4 + 0 = 4
3) 0 is the difference of d minus 3 divided by 2.
(d - 3)/2
= (3 - 3)/2
= 0/2
= 0
4) 2 is the quotient of 12 divided by the difference of 3 times d minus 3.
12/(3d - 3)
=12/(3*3 - 3)
=12/(9 - 3)
=12/6
= 2
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Please solve these questions with an explanation
Answers
Answer:
Step-by-step explanation:
Find f(-4) for f(x)=9(3)^x
Answers
Answer:
[tex] f(-4) = \dfrac{1}{9} [/tex]
Step-by-step explanation:
[tex] f(x) = 9(3)^x [/tex]
[tex] f(-4) = 9(3)^{-4} [/tex]
[tex] f(-4) = 3^2 \cdot 3^{-4} [/tex]
[tex] f(-4) = 3^{-2} [/tex]
[tex] f(-4) = \dfrac{1}{9} [/tex]
Answer:
1/9
-------------
Solve: 4 + 3x = 2(3x-7) +9
A. There are infinitely many solutions
B. x = 3
C. x = -3
D. x = 2/3
Answers
Answer:
B. x = 3
Step-by-step explanation:
Simplifying
4 + 3x = 2(3x + -7) + 9
Reorder the terms:
4 + 3x = 2(-7 + 3x) + 9
4 + 3x = (-7 * 2 + 3x * 2) + 9
4 + 3x = (-14 + 6x) + 9
Reorder the terms:
4 + 3x = -14 + 9 + 6x
Combine like terms: -14 + 9 = -5
4 + 3x = -5 + 6x
Solving
4 + 3x = -5 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
4 + 3x + -6x = -5 + 6x + -6x
Combine like terms: 3x + -6x = -3x
4 + -3x = -5 + 6x + -6x
Combine like terms: 6x + -6x = 0
4 + -3x = -5 + 0
4 + -3x = -5
Add '-4' to each side of the equation.
4 + -4 + -3x = -5 + -4
Combine like terms: 4 + -4 = 0
0 + -3x = -5 + -4
-3x = -5 + -4
Combine like terms: -5 + -4 = -9
-3x = -9
Divide each side by '-3'.
x = 3
Simplifying
x = 3
Immediate help needed please.
Can you answer and explain please
Answers
The possible values of k are k < - 1.868 or k > 0.535 in which the inequality is true.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a quadratic equation:
(k - 1)x² + (4k)x + k -3 = 0
Here,
a = k - 1
b = 4k
c = k - 3
As we know for distinct real roots:
D > 0
[tex]\rm {b^2-4ac}} > 0[/tex]
(4k)² - 4(k-1)(k-3) > 0
[tex]\rm 16k^2-4\left(k-1\right)\left(k-3\right) > 0[/tex]
[tex]\rm 12k^2+16k-12 > 0[/tex]
[tex]\rm 3k^2+4k-3 > 0[/tex]
[tex]\rm 3\left(k+\dfrac{2}{3}\right)^2-\dfrac{13}{3} > 0[/tex]
[tex]\rm 3\left(k+\dfrac{2}{3}\right)^2 > \dfrac{13}{3}[/tex]
[tex]\rm \left(k+\dfrac{2}{3}\right)^2 > \dfrac{13}{9}[/tex]
[tex]\rm k < \dfrac{-\sqrt{13}-2}{3}\quad \mathrm{or}\quad \:k > \dfrac{\sqrt{13}-2}{3}[/tex]
or
[tex]\rm k < -1.868 \quad \mathrm{or}\quad \:k > 0.535[/tex]
Thus, the possible values of k are k < - 1.868 or k > 0.535 in which the inequality is true.
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Find the slope of the line that passes through the points (4, 4) and (5, 7).
Answers
Answer:
3
Step-by-step explanation:
Slope of a line between any two points (x1,y1) and (x2,y2) is given by the equation:
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
let's take (x1,y1) as (4,4) and (x2,y2) as (5,7)
So slope = [tex]\frac{7-4}{5-4}[/tex] = 3
Answer:
y = 3x - 8
Step-by-step explanation:
y = Mx + c
m = 3 / 1
4 = 3(4) + c
4 - 12 = c
How do I graph y−3=1/2(x+3) on this graph? :c
Answers
From point (0, 9/2) and (-9, 0) we get a straight line.
What is Straight line?A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.
Here, given equation:
(y − 3) = 1/2(x + 3)
at x = 0,
y - 3 = 1/2 (0 + 3)
y - 3 = 1/2 X 3
y = 3/2 + 3
y = 9/2
at y = 0,
0 - 3 = 1/2 (x + 3)
-3 = 1/2 (x + 3)
-6 = x + 3
x = -6 - 3
x = -9
Thus, from point (0, 9/2) and (-9, 0) we get a straight line.
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