The lines AB and CD intercept each other at point E. Along line CD you have angle AEC which is 50 degrees and angle AED which is unknown. Note that angles on a straight line sum uo to 180 degrees. Therefore
AEC + AED = 180
50 + AED = 180
Subtract 50 from both sides of the equation
AED = 130
Similarly along line AB, you have angle AED and angle DEB. The same rule applies, that is, angles along a straight line equals 180 degrees.
AED + DEB = 180
130 + DEB = 180
Subtract 130 from both sides of the equation
DEB = 50
**Note also that angle AEC and angle DEB are opposite angles. Opposite angles are equal. Therefore DEB = 50.**
13 is one third of a number
m
Answer:39
Step-by-step explanation: 13 x 3= 39
Answer:
13 = (1/3)m
Step-by-step explanation:
The word "is" is used when saying "equals"
"One third of a number m" is telling you to multiply (1/3) times "m".
Kelly tried to solve the following equation,
Answer:
wich question??????????????
cual
no te entiendo me puedes explicar
6x — Зу = 5
y - 2x = 8
How many solutions does the system have?
9514 1404 393
Answer:
none
Step-by-step explanation:
Multiplying the second equation by -3 gives ...
6x -3y = -24
Values of x and y that satisfy this equation cannot also satisfy the first equation ...
6x -3y = 5
There are no solutions to this system of equations.
__
The equations describe parallel lines. There is no point of intersection.
Need answer for 8th question ASAP
In this problem, we need to use squaring method.
5² means 5 × 5
5² = 25
12² means 12 × 12
12² = 144
So, simplify these statements:
5² × 12²
25 + 12² (Simplify 5², which means 5 × 5)
25 + 144 (Simplify 12², which means 12 × 12)
We get the answer:
25 + 144 =
169Hope this helps :)
Javier bought a painting for
$
150
$150dollar sign, 150. Each year, the painting's value increases by a factor of
1.15
1.151, point, 15.
Which expression gives the painting's value after
7
77 years?
Choose 1 answer:
Choose 1 answer:
(Choice A)
(
150
⋅
1.15
)
7
(150⋅1.15)
7
left parenthesis, 150, dot, 1, point, 15, right parenthesis, start superscript, 7, end superscript
A
(
150
⋅
1.15
)
7
(150⋅1.15)
7
left parenthesis, 150, dot, 1, point, 15, right parenthesis, start superscript, 7, end superscript
(Choice B)
150
⋅
1.1
5
7
150⋅1.15
7
150, dot, 1, point, 15, start superscript, 7, end superscript
B
150
⋅
1.1
5
7
150⋅1.15
7
150, dot, 1, point, 15, start superscript, 7, end superscript
(Choice C)
(
150
+
1.15
)
⋅
7
(150+1.15)⋅7left parenthesis, 150, plus, 1, point, 15, right parenthesis, dot, 7
C
(
150
+
1.15
)
⋅
7
(150+1.15)⋅7left parenthesis, 150, plus, 1, point, 15, right parenthesis, dot, 7
(Choice D)
150
+
1.15
⋅
7
150+1.15⋅7150, plus, 1, point, 15, dot, 7
D
150
+
1.15
⋅
7
150+1.15⋅7
The correct expression is \($(150 \cdot 1.15)^7$\) (Choice A).
The problem states that the painting's value increases by a factor of 1.15 each year. This means that the value at the end of each year is 1.15 times the value at the beginning of the year. Therefore, after one year, the value of the painting is\($150 \cdot 1.15 = 172.50$\).
To find the value after 7 years, we need to multiply the value of the painting each year by 1.15 a total of 7 times. This can be represented mathematically as \($(150 \cdot 1.15)^7$\). This expression is equal to the starting value of the painting, 150, multiplied by 1.15$ raised to the 7th power, which represents the 7 years of appreciation.
If we were to choose expression B, it would give an incorrect result because it uses a value of 1.1 instead of 1.15 to represent the yearly increase in value.
Expressions C and D are also incorrect because they are not taking into account the compounding effect of the yearly increase. Expression C adds the initial value and the total years together, and expression D adds the initial value to the yearly increase multiplied by 7, neither of which correctly reflects the exponential growth of the painting's value.
For such more questions on expression
https://brainly.com/question/1859113
#SPJ8
PLEASE HELP! Why did Southern states feel betrayed by President Zachary Taylor? He wanted popular sovereignty for new states, and Southerners did not trust their votes. He was from the South, and Southerners thought he should support their cause. He was from the South, and Southerners thought he favored California over his home state. He was a slaveholder, but did not want to bring his enslaved workers to California.
Answer:
Southern states felt betrayed by President Zachary Taylor because he pushed for the 1850 Compromise on slavery, going against what his fellow southerners believed in.
Answer:
here u go. because he pushed for the 1850 compromise on slavery
Step-by-step explanation:
PLEASE HELLP ASAP!!!
The quadratic function graphed is defined as follows:
y = x² - 10x + 9.
How to define the function?We are given the roots for each function, hence the factor theorem is used to define the functions.
The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
From the graph, the roots are given as follows:
x = 1 and x = 9.
Hence the function as a product of it's linear factors is defined as follows:
y = a(x - 1)(x - 9)
y = a(x² - 10x + 9).
When x = 5, y = -16, hence the leading coefficient a is obtained as follows:
-16 = a(5² - 10(5) + 9)
-16a = -16
a = 1.
Thus the function is:
y = x² - 10x + 9.
More can be learned about the Factor Theorem at brainly.com/question/24729294
#SPJ1
b(1) = 16
b(n) = b(n - 1) + 1
Answer:
1b= 1b - 1+1
1b= 1b-2
1b = -1b
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
for such more question on linear function
https://brainly.com/question/9753782
#SPJ8
2.
d
a) Name the vertex of the angle.
b) Name the sides of the angle.
c) Give three ways to name the angle.
H
M
d) Classify the angle:
y=9/4×2
sketch the graph of f and f on the same set of axes
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
For more questions on graph:
https://brainly.com/question/19040584
#SPJ8
Type the correct answer in the box. If necessary, use / for the fraction bar and simplify the fraction. cos(75°)cos(15°) =
will mark brainliest
Answer:
1/4
Step-by-step explanation:
using the product-to sum formulas, this is
1/2 (cos(75+15) + cos(75-15))
Answer:
1/4
Step-by-step explanation:
PLATO USER
AYOOOOOOOOOO HELP PLESE WILL GIBE BRAINLIST
Answer:
15 rooms
Step-by-step explanation:
1:$32 = x:$500
$32×x = 1×$500
x = $500/$32
x = 15, 625
Answer:
Might as well collect the points. I'm the guy from the comments.
Step-by-step explanation:
Similar Triangles
You are visiting the Unisphere at Flushing Meadow Park in New York. To estimate the height of the stainless steel model of Earth, you place a mirror on the ground and stand where you can see the top of the model in the mirror. The Unisphere is 100 feet from the mirror and you are standing 4 feet from the mirror. If your height is 5.6 feet, what is the estimated height of the Unisphere? The diagram is not drawn to scale.
a. 140 feet
b. 22.4 feet
c. 2,240 feet
d. 71 feet
Please select the best answer from the choices provided
Answer:
A. 140 feet
Step-by-step explanation:
I calculated it logically
The graph of the function f(x) = (x - 3)(x + 1) is shown.
Ty
-10-8-6
10
8
6
-6
8
-10-
6
10
X
Which describes all of the values for which the graph is
positive and decreasing?
O all real values of x where x < -1
O all real values of x where x < 1
O all real values of x where 1
O all real values of x where x > 3
Answer:
all real values of x where x < -1
The correct statement is all real values of x where x < -1.
Option A is the correct answer.
We have,
To determine the values for which the graph of the function
f(x) = (x - 3)(x + 1) is positive and decreasing, we need to analyze the behavior of the function.
Let's consider the factors individually:
(x - 3): This factor is positive for x > 3 and negative for x < 3.
(x + 1): This factor is positive for x > -1 and negative for x < -1.
To determine the overall sign of the function, we need to consider the signs of both factors together.
When both factors are positive or both factors are negative, the function is positive.
When the factors have opposite signs, the function is negative.
From the above analysis, we can conclude the following:
When x > 3, both factors are positive, so the function is positive.
When -1 < x < 3, the factor (x - 3) is negative, while the factor (x + 1) is positive. Therefore, the function is negative.
When x < -1, both factors are negative, so the function is positive again.
Since we are looking for values where the function is positive and decreasing, we can eliminate the options that include positive and increasing regions (such as x > 3).
Thus,
The correct statement is all real values of x where x < -1.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ7
which statement about these triangles is true?
Answer:
I think it's D
Step-by-step explanation:
Answer:
i think it's a or d
but d is more have percent
Riley is asked about her age . She answers as follows . “My age is 3 more than twice the age of my younger brother.” how old is her younger brother if Riley is 35 years old ?
Answer:
Her younger brother is 11 years old
Step-by-step explanation:
35=3+2x
35-3=2x
32=2x
32÷2=2x÷2
11=x
Find the area of the circle the area is ? m2
Answer:
roughly 12.57
Step-by-step explanation:
pi times \(r^{2}\)
Answer:
4π
Step-by-step explanation:
Hello!
The area of a circle is calculated using the formula \(A = \pi r^2\).
A = areaπ = pir = radiusTo solve for the area, we plug in the value for the radius.
Find the Area\(A = \pi r^2\)\(A = \pi (2)^2\)\(A = 4\pi\)Usually we round Pi to 3.14 and multiply, but since it's asking for the exact value, we can just leave it as is.
The area in terms of Pi is 4π.
100 POINTS please help asap
Can someone help me Solve:
-2√3+√75=
Answer:
\(3\sqrt{3}\)------------------
Simplify in below steps:
\(-2\sqrt{3} +\sqrt{75} =\)\(-2\sqrt{3} +\sqrt{25*3} =\)\(-2\sqrt{3} +\sqrt{5^2*3} =\)\(-2\sqrt{3} +5\sqrt{3} =\)\(3\sqrt{3}\)The city has an average of 13 days of rainfall for April.
What is the probability of having exactly 10 days of precipitation in the month of April?
What is the probability of having less than three days of precipitation in the month of April?
What is the probability of having more than 15 days of precipitation in the month of April?
Using the Poisson distribution, we have that:
There is a 0.0859 = 8.59% probability of having exactly 10 days of precipitation in the month of April.There is a 0.00022 = 0.022% probability of having less than three days of precipitation in the month of April.There is a 0.2364 = 23.64% probability of having more than 15 days of precipitation in the month of April.What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are:
x is the number of successese = 2.71828 is the Euler number\(\mu\) is the mean in the given interval.For this problem, the mean is given as follows:
\(\mu = 13\)
The probability of having exactly 10 days of precipitation in the month of April is P(X = 10), hence:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
\(P(X = 10) = \frac{e^{-13}13^{10}}{(10)!} = 0.0859\)
There is a 0.0859 = 8.59% probability of having exactly 10 days of precipitation in the month of April.
The probability of having less than three days of precipitation in the month of April is:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
In which:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
\(P(X = 0) = \frac{e^{-13}13^{0}}{(0)!} \ approx 0\)
\(P(X = 1) = \frac{e^{-13}13^{1}}{(1)!} = 0.00003\)
\(P(X = 2) = \frac{e^{-13}13^{2}}{(2)!} = 0.00019\)
Then:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.00003 + 0.00019 = 0.00022
There is a 0.00022 = 0.022% probability of having less than three days of precipitation in the month of April.
For more than 15 days, the probability is:
P(X > 15) = P(X = 16) + P(X = 17) + ... + P(X = 20)
Applying the formula for each of these values and adding them, we have that P(X > 15) = 0.2364, hence:
There is a 0.2364 = 23.64% probability of having more than 15 days of precipitation in the month of April.
More can be learned about the Poisson distribution at https://brainly.com/question/13971530
#SPJ1
5/2 = 11/x
What is x
Answer:
X=22/5
Step-by-step explanation:
By cross multiplication
5/2 =11/x
5x = 2(11)
5x =22
X=22/5
Hope this helps..
Please help me!! ......
Answer:
b)480 cm^2
Step-by-step explanation:
perimeter=(16+12+20) cm
=48 cm
lateral surface area= perimeter × height
=48×10 =480 cm^2
An Olympic-size swimming pool holds approximately 6×105 gallons of water. The capacity of this swimming pool is between which interval?
The capacity of this swimming pool is between B. 500 gallons to 1,000 gallons.
What is the capacity?Capacity refers to the product of the length, width, and height of a three-dimensional object or space.
The capacity of an object means the same as its volume.
Olympic-size swimming pools have the following standard dimensions:
Length = 50 m
Width = 25 m
Height = 2 m
Capacity of an Olympic swimming pool = 2,500 m³ (50 x 25 x 2)
= 660,000 gallons (2,500 x 1,000 ÷ 3.785)
An interval estimate shows the lower and upper limits.
6 x 105 gallons = 630 gallons
Thus, the capacity of the swimming pool is Option B.
Learn more about volume or capacity at https://brainly.com/question/463363
#SPJ1
Question Completion with Answer Options:A. 100 gallons to 500 gallons
B. 500 gallons to 1,000 gallons
C. 1,000 gallons to 1,500 gallons
D. 1,500 gallons to 2,000 gallons
A circle has a radius of 3 units. What is the area of the circle? Round to the nearest hundredth.Use 3.14 for pi.
Answer:28.26
Step-by-step explanation:kid use pi r^2
4 - 2 7/11 = ?
Please explain step by step to get marked brainliest!
Four less than the product of a number (x)
and 5 is equal to 8 more than 2 added to
3 times the number. Which of these equa-
tions could be used to find the value of x?
Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.
Step-by-step explanation:
Four less than the product of a number (x) and 5 = 5x - 4
8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10
Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10
5x - 3x = 10 + 4
2x = 14
x = 14/2
therefore, x = 7
To know more about Algebra,
https://brainly.com/question/28871326
What is the y-intercept of the line given by the equation below? y = 4x – 6 A. (4, 0) B. (–6, 0) C. (0, –6) D. (0, 4)
Hey there! :)
Answer:
C. (0, -6).
Step-by-step explanation:
In slope-intercept form ( y = mx + b), the 'b' value represents the y-intercept.
In this instance:
y = 4x - 6
The 'b' value is equal to -6. This means that the y-intercept is at (0, -6).
-------------------------------------------------------------------------------------------
The y-intercept can also be solved for by substituting in 0 for x:
y = 4(0) - 6
y = 0 - 6
y = -6.
Answer:
C. (0, –6)
Step-by-step explanation:
y = 4x - 6
The equation is:
y = mx + b
where b is the y-intercept.
In this case, - 6 is the vertical intercept.
Do not confuse from (-6, 0) because that represents an x-intercept.
Find the area of a circle with a radius of
7
7start color #11accd, 7, end color #11accd.
Either enter an exact answer in terms of
�
πpi or use
3.14
3.143, point, 14 for
�
πpi and enter your answer as a decimal.
The area of a circle is calculated using the formula:
A = πr^2
Where A is the area and r is the radius of the circle.
In this case, the radius is given as 7. Substituting the value into the formula:
A = π(7)^2
A = π(49)
A = 49π
The exact area of the circle is 49π square units.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Look at Jerrys monthly budget below. What percentage of Jerrys net income is spent on transportation?
Net Monthly Income: 2,970.00
Housing: $750.00
Utilities: $120.00
Food: $450.00
Transportation: $650.00
Savings: $300.00
Other Expenses: $500.00
Total Monthly Expenses: 2,970.00
A. 28%
B. 25.3%
C. 86.7%
D. 21.9%
Answer:
D. 21.9%
Step-by-step explanation:
(650÷2970)x100= 21.88% rounded off 21.9%