Consider the hexagon ABCDEF what is the value of X? What is the measure of angle A? what is the measure of angle BCG?
Answer:
x = 52.5
<A = 152.5°
<BCG = 45°
Step-by-step Explanation:
Sum of interior angles of n-sided polygon = (n - 2)180
Sum of interior angles of hexagon = (6 - 2)180 = 4(180) = 720°
Therefore, sum of all the interior angles in the given hexagon = 720.
Thus:
3x - 5 + 2x + 140 + 135 + 2x + 30 + x = 720
Solve for x. Add like terms.
8x + 300 = 720
Subtract 300 from both sides
8x = 720 - 300
8x = 420
Divide both sides by 8
8x/8 = 420/8
x = 52.5
<A = (3x - 5)
Plug in the value of x
<A = 3(52.5) - 5 = 152.5°
<BCG = 180 - (2x + 30) (angles on a straight line)
Plug in the value of x
<BCG = 180 - (2(52.5) + 30)
<BCG = 180 - (105 + 30)
<BCG = 180 - 135
<BCG = 45°
Monica works at a local bike shop. On Friday, she sold 5 mountain bikes and 10 road bikes. On Saturday, she sold 9 mountain bikes and 15 road bikes. Did Monica sell the same ratio of mountain bikes to road bikes on both days?
Answer:
they aren't the same ratio
Step-by-step explanation:
ratio of 5:10 then 9:15
5/10 and 9/15
and that is simplified
2.5/5 and 3/5 so they aren't the same ratio
why is y=4 not a literal equation
A literal equation is x^2 + 2y = 1 because it contains more then one distant variable while y = 4 doesn’t, it only contian y.
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
A Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
A literal equation is x^2 + 2y = 1 because it contains more then one distant variable while y = 4 doesn’t, it only contian y.
Therefore, y=4 is not a literal equation because it has y as the only variable that appears.
Learn more about solving equations here:
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2 ÷ 16/7 then put it in its simplest form (it will be a mixed number)
Answer:
1 1/7
Step-by-step explanation:
Answer:
8/7
Step-by-step explanation:
16/7=[tex]\frac{16}{7} \\[/tex] then divide it by 2 and you get 8/7
A store has 2 times as hooded sweatshirt as crewneck sweatshirts. The total number of sweatshirts is 36. How many hooded sweatshirts does the store have?
Answer:
Answer below
Step-by-step explanation:
It would be 36×2=72
since we're doubl8ng it so there would be 72 hooded sweatshirts
Answer:
24 Hooded Sweatshirts
Step-by-step explanation:
36/3=12
2x12=24 or hooded sweatshirts
1x12=12 or crewneck sweatshirts
12+24=36 total sweatshirts :)
Please Assist!
What is the answer to this question???
Answer:
[tex](-5,\frac{1}{2} )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
Simply plug in your coordinates into the midpoint formula to find midpoint:
R(-2, 3)
S(-8, -2)
[tex](\frac{-2+-8}{2},\frac{3+-2}{2} )[/tex]
[tex](\frac{-10}{2},\frac{1}{2} )[/tex]
[tex](-5,\frac{1}{2} )[/tex]
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
Point C
Step-by-step explanation:
Since -0.095 is less negative than -0.1 it will be closer to zero and this number line more towards the right. since each dash in the line represents 0.01 and the difference between -0.1 and -0.095 is only 0.005 it will be really close to -0.01.
Where is the point (-8,0) located on the coordinate plane?
1. On the X-axis
2. In quadrant ll
3. In quadrant lll
4. On the y-axis
Two taxi companies in a city only charge by mileage and do not charge an initial fee. If Taxi 1 charges $3.00 per miles and Taxi 2 charges $1.77 per kilometer. Determine how much a 12 mile ride will cost in each taxi. There are 1.61 kilometers in every mile.(1 point) A 12 mile ride in Taxi 1 costs $34.20, and in Taxi 2 it costs $36.00 A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $13.19 A 12 mile ride in Taxi 1 costs $34.00, and in Taxi 2 it costs $34.20 A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20
Answer:
A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.
Step-by-step explanation:
Given that:
Charges of taxi 1 = $3.00 per mile
Charges of taxi 2 = $1.77 per kilometer
1 mile = 1.61 kilometers
To find:
Cost of a 12 miles ride for taxi 1 and taxi 2.
Solution:
Let us first convert the charges of each taxi to per mile.
Taxi 1 charges are already given in per mile.
Charges for 1 mile = $3
Charges for 12 miles = 3 [tex]\times[/tex] 12 = $36
Taxi 2 charges = 1.77 [tex]\times[/tex] 1.61 = $2.85 per mile
Charges for 12 miles = 2.85 [tex]\times[/tex] 12 = $34.20
Therefore, the answer is:
A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.
Wayne created a dried fruit mix to use on his cereal this week. He
used 7 spoonfuls of raisins for every 3 spoonfuls of dried cherries.
If Wayne used 14 spoonfuls of raisins, how many spoonfuls of dried
cherries did he use?
Answer:
6
Step-by-step explanation:
i had this same problem :)
help please?
What is the value of 4x + 3y - z, when x = 2, y = -3 and z = 1 *
Answer:
-2
Step-by-step explanation:
When you fill it in you get 4(2)+3(-3)-1 then multiply and add
Three students attempt to define what a line segment is.
Answer:
Duru's definition: A line segment is a line connecting two endpoints. Oliver's definition: A line segment is when three points are all on the same line.
Larry picked 8 pounds of strawberries. If each jar of jam takes 38 of a pound of strawberries, how many jars of jam can Larry make?
Answer:
21 Jars
Step-by-step explanation: Divide 8 by 0.38 (38/100ths) and the answer is 21.052631578947368421052631578947 but you just round to 21.
Let f(x)=8^x
Which function represents a transformation of f(x) by a vertical stretch with factor 2?
A. g(x) = 8^2x
B. g(x) = 1/2 • 8^x
C. g(x) = 2 • 8^x
D. g(x) = 8^1/2x
The selling price of a car is $11,000. Each year, it loses 17% of its value.Find the exponential function that gives the value of the car t years after its purchase. Write your answer in the form f(t)=a(b)t.
Answer:
The answer is "[tex]\bold{11000(0.83)^t}[/tex]".
Step-by-step explanation:
[tex]\bold{ \text{selling price}} = \$ 11,000 \\\\\bold{ \text{loses}} = 17 \%[/tex]
[tex]\bold{\to f(t)= c (1-r)^t} \\\\[/tex]
[tex]=11,000 (1- 0.17)^t\\\\=11,000(0.83 )^t[/tex]
miles say that, when a is any integer greater than 0, the value of a^-3 is always less than -a^3 because the exponent in a^-3 is less than the exponent in -a^3. is miles reasoning correct?
What is the degree of the following polynomial?
Answer:
4th degree, so option 2
Step-by-step explanation:
the graph has 4 zeros (coordinates where y=0)
Four college friends (one is named Cathy) were all accepted to a graduate school.
Answer:
Wow that is great
Step-by-step explanation:
is there a question? uhhhmmmmm
Write the equation and slope intercept form: y-4=2(x+3)
Answer:
y = 2x + 10
Step-by-step explanation:
Remember, slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
To write the equation in slope-intercept form, we can just solve the equation for slope-intercept form.
y - 4 = 2(x + 3)
Distribute the 2 on the right side.
y - 4 = 2x + 6
Add 4 to both sides.
y = 2x + 10
Notice, now we have the equation in slope-intercept form.
I hope this helps. Happy studying.
PLZZZZ HELPPPP I WILL MAKE YOU BRAINLIEST ANSWER PLZZZZZ THANKYOUUU!!!!!!!
A triangle has side links of 16 cm, 63 cm, and 64 cm. Classify it as acute, obtuse, or right
Answer:
acute
Step-by-step explanation:
All sides are smaller than 90 degrees
please help!!
find h(8)-f(-7)
Si la mitad del reciproco de un numero se suma al duplo del reciproco de otro, la suma es uno mas que el reciproco del primer numero. la diferencia de los reciprocos de los numeros es una decima.
Answer:
Ambos números son [tex]-\frac{25}{8}[/tex] y [tex]\frac{50}{21}[/tex]
Step-by-step explanation:
La mitad de una cantidad es el resultado de partir en dos partes iguales dicha cantidad, siendo cada una de esas partes es la mitad de la cantidad inicial. Por lo que la mitad de un número se calcula dividiendo el número por 2.
El recíproco o inverso multiplicativo de un número x es el número que, cuando es multiplicado por x , da 1. Es decir, el producto de un número y su recíproco es 1. Para obtener el recíproco de un número, sólo divide 1 por el número. Entonces el reciproco de un numero cualesquiera x es [tex]\frac{1}{x}[/tex].
El doble o duplo de un número se calcula multiplicando el número por 2.
La diferencia es el resultado de la resta o sustracción.
Entonces:
La mitad del reciproco de un numero: siendo el número x, entonces esto se expresa como [tex]\frac{1}{x}[/tex]÷2El duplo del reciproco de otro numero: siendo el número y, entonces podes expresar [tex]\frac{1}{y}[/tex]*2Uno más que el reciproco del primer numero: [tex]\frac{1}{x}+1[/tex]Entonces:
[tex]\frac{1}{x}[/tex]÷2 + [tex]\frac{1}{y}[/tex]*2 = [tex]\frac{1}{x}+1[/tex] Ecuación (A)
Siendo la diferencia de los recíprocos de los números igual a una decima, entonces
[tex]\frac{1}{x}+\frac{1}{y}=\frac{1}{10}[/tex] Ecuación (B)
Entonces, de la ecuación (B) se obtiene:
[tex]\frac{1}{y}=\frac{1}{10}-\frac{1}{x}[/tex] Ecuación (C)
Reemplazando en la ecuación (A):
[tex]\frac{1}{x}[/tex]÷2 +( [tex]\frac{1}{10}-\frac{1}{x}[/tex])*2 = [tex]\frac{1}{x}+1[/tex]
Resolviendo:
[tex]\frac{1}{x}[/tex]÷2 + [tex]\frac{1}{10}*2-\frac{1}{x}*2[/tex] = [tex]\frac{1}{x}+1[/tex]
[tex]\frac{1}{x}[/tex]*[tex]\frac{1}{2}[/tex] - [tex]\frac{1}{x}*2[/tex] - [tex]\frac{1}{x}[/tex]= 1- [tex]\frac{1}{10} *2[/tex]
[tex]-\frac{5}{2}*\frac{1}{x}=\frac{4}{5}[/tex]
[tex]\frac{1}{x} =\frac{4}{5}[/tex] ÷ [tex](-\frac{5}{2})[/tex]
[tex]\frac{1}{x} =-\frac{8}{25}[/tex]
[tex]x=-\frac{25}{8}[/tex]
Entonces, reemplazando en ecuación (C)
[tex]\frac{1}{y}=\frac{1}{10}-\frac{1}{-\frac{25}{8} }[/tex]
[tex]\frac{1}{y}=\frac{1}{10}+\frac{8}{25}[/tex]
[tex]\frac{1}{y}=\frac{21}{50}[/tex]
[tex]y=\frac{50}{21}[/tex]
Entonces, ambos números son [tex]-\frac{25}{8}[/tex] y [tex]\frac{50}{21}[/tex]
Usando un sistema de ecuaciones, se encuentra que los números son: [tex]-\frac{1}{4}, -2[/tex]
Un número es llamado de x, el otro de y.Los recíprocos son: [tex]\frac{1}{x}, \frac{1}{y}[/tex]Si la mitad del reciproco de un numero se suma al duplo del reciproco de otro, la suma es uno mas que el reciproco del primer numero, o sea:
[tex]\frac{1}{2x} + \frac{2}{y} = 1 + \frac{1}{x}[/tex]
La diferencia de los reciprocos de los numeros es una decima, o sea:
[tex]\frac{1}{x} - \frac{1}{y} = 10[/tex]
[tex]\frac{y - x}{xy} = 10[/tex]
[tex]y - x = 10xy[/tex]
[tex]y = 10xy + x[/tex]
[tex]y = x(10 + y)[/tex]
[tex]x = \frac{y}{10 + y}[/tex]
Reemplazando en la primera ecuación:
[tex]\frac{1}{2x} + \frac{2}{y} = 1 + \frac{1}{x}[/tex]
[tex]\frac{10 + y}{2y} + \frac{2}{y} = 1 + \frac{10 + y}{y}[/tex]
[tex]\frac{10 + y + 4}{2y} = \frac{y + 10 + y}{y}[/tex]
[tex]\frac{14 + y}{2y} = \frac{2y + 10}{y}[/tex]
[tex]14y + y^2 = 4y^2 + 20y[/tex]
[tex]3y^2 + 6y = 0[/tex]
[tex]3y(y + 2) = 0[/tex]
[tex]y + 2 = 0[/tex]
[tex]y = -2[/tex]
[tex]x = \frac{y}{10 + y} = \frac{-2}{10 - 2} = -\frac{1}{4}[/tex]
Los números son: [tex]-\frac{1}{4}, -2[/tex]
Un problema similar es dado en https://brainly.com/question/24646137
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Select the values that make the statement true.
StartFraction n Over 100 EndFraction = StartFraction 1 Over d EndFraction = p%
n =
d =
p =
Answer:
Select the values that make the statement true.
StartFraction n Over 100 EndFraction = StartFraction 1 Over d EndFraction = p%
n =
✔ 5
d =
✔ 20
p =
✔ 5
Step-by-step explanation:
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HELP ME PLS ITS DUE TODAY :((
Answer:
3 8
18 48
22.5 60
27 72
Step-by-step explanation:
3:8 ratio
18/3=6
8*6=48
Answer:
48
60
72
Step-by-step explanation:
1. Find the number of times x or the first column numbers are multiplied to get y or the second column numbers.
2. Equation: 3*?=8, ? = 8/3
3. Multiply all of the other numbers by 8/3 to get the answers.
4. 3*8/3=8, 18*8/3=48, 22.5*8/3=60, 27*8/3=72.
Answers: 48, 60, 72
select 3 names for the angle.
Hannah invested $35,000 in a mutual fund that earns 6% interest per year compounded annually. To the nearest dollar, how much was her investment worth after 3 years?
Answer:
the answer is 41,685.56 but rounded to the nearest dollar is 41,686
Step-by-step explanation:
hope this helps
when is the function decreasing?
A. (15, 40)
B. (30, 55)
C. (60, -40)
D. (40, 60)
Solve for X using Special Rights
Answer:
c) 10√2
Step-by-step explanation:
Two angles are same, means this is an isosceles triangle.
So,
x=10
Now, by using pythagoras theorem,
y=√(10²+10²)
=10√2