m∠A + m∠B = m∠B + m∠C
Example: Δ ABC is isosceles at B
⇒ m∠A = m∠C
⇔ m∠A + m∠B = m∠B + m∠C
So: m∠A + m∠B = m∠B + m∠C ⇒ m∠A = m∠C
P/s: sorry, my writing skill is not very good, but u can use the above ideas to write
Ok done. Thank to me :>
Re-write the equation 3 x minus y = 4 in slope-intercept form.
a.
y = 3 x minus 4
c.
y = negative 3 x minus 4
b.
y = 3 x + 4
d.
y = negative 3 x + 4
Please select the best answer from the choices provided
A
B
C
D
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
3x - y = 4 ( subtract 3x from both sides )
- y = - 3x + 4 ( multiply through by - 1 )
y = 3x - 4 → A
John earns $8.35 an hour. Last week he worked 21 hours.This week he worked 33 hours.
What is his straight time pay for the two weeks?
A. $460.90
B. $450.90
C. $175.35
D. $275.55
E. $409.15
Solve for x. Enter the solutions from least to greatest.
(x+7)^2 −49=0
Help plz
Answer:
x=0
Step-by-step explanation:
We can first add 49 to both sides to get (x+7)^2=49
We can then take the square root of both sides and get x+7=7
Subtract 7 to both sides and you get x=0
Answer:
\(x=-14\text{ and } x=0\)
Step-by-step explanation:
We are given:
\((x+7)^2-49=0\)
And we want to solve for x.
First, we can add 49 to both sides:
\((x+7)^2=49\)
Now, we can take the square root of both sides. Since we are taking an even root, we will need plus-minus. Hence:
\(x+7=\pm\sqrt{49}\)
Evaluate:
\(x+7=\pm7\)
Subtract 7 from both sides:
\(x=-7\pm7\)
So, we have two solutions:
\(x=-7+7\text{ and } x=-7-7\)
Evaluate:
\(x=0\text{ and } x=-14\)
So, from least to greatest, our solutions are:
\(x=-14\text{ and } x=0\)
Just got this don’t know how to do btw it’s due tomorrow
Answer:
2 and 4 answers
Step-by-step explanation:
\(\frac{xy}{xv} = \frac{yz}{vw} = \frac{zx}{wx}\)
so the second is correct and forth is correct too
A scuba diver is diving at a constant rate when her team on the surface requests a status update. She looks at her watch which says her elevation is 15 feet below sea level. 4 seconds later, her elevation is 21 feet below sea level. A. At what rate is her elevation changing? Use a signed number, and include the unit of measurement in your answer. B.How many more seconds until she reaches her goal depth of 50 feet? Explain or show your reasoning. C.How many seconds before her team requested an update was the diver at the surface of the water? Explain or show your reasoning.
A. The rate at which the elevation is changing is 1.5 feet/sec
B. The number of additional seconds to reach 50ft is 43.5sec
C. The number of second before her team requested for updates at the surface of water is 75sec
What is rate?A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.
rate of changing elevation = 21-15/4 = 6/4 = 1.5feet/sec
to reach 50 feet, the number sec = (50 -21)1.5= 29 ×1.5 = 43.5sec.
It was 75 seconds before her team requested an update at the surface of the water. I e 50 × 1.5 = 75sec
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p(x) = -3x - 1
graph the linear function
Answer:
Step-by-step explanation:
1) First find the y-intercept point
You can find it easily by finding the number without the variable. In this case, it is -1. With this draw a point on the y-axis line down to -1.
2) Find the slope.
Next, you can find a point by substituting a number for x. So in this example, I will be subbing x for 1.
y = -3(1) - 1
y= -3 - 1
y= -4
So there will be a point at (1,-4).
3) Graphing.
After you find that you can easily draw a straight line through both points.
hi please help me with this and complete all the directions pls
Answer:
(3m+5)(m^2+4)
Step-by-step explanation:
add and subtract the second term to the expression and factor by grouping
−2x+5=−25
x =
green what’s the answer
Answer:
x = 15
Step-by-step explanation:
-2x= -25-5
-2x=-30
x= 15
how many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once? how many of these are odd numbers? how many are greater than 330?
By using the concept of combinations, we have determined that there are 210 three-digit numbers that can be formed using the digits 0-6 without repeating any of them. Among them, there are 90 odd numbers and 120 numbers greater than 330.
Combinations are a fundamental concept in mathematics, particularly in the field of combinatorics, which deals with counting and arranging objects.
To solve this problem, we can use the concept of combinations, which is a way of counting the number of ways we can choose k items from a set of n items. In this case, we want to find the number of three-digit numbers we can form from the set {0, 1, 2, 3, 4, 5, 6}, without repeating any of the digits.
First, we can determine the number of ways we can choose the first digit. Since there are seven digits to choose from, we have 7 options for the first digit.
Next, we can determine the number of ways we can choose the second digit. Since we have already used one of the digits, we only have 6 options left for the second digit.
Finally, we can determine the number of ways we can choose the third digit. Since we have used two of the digits, we only have 5 options left for the third digit.
Therefore, the total number of three-digit numbers we can form is given by the product of the number of choices for each digit:
7 x 6 x 5 = 210
So there are 210 different three-digit numbers that can be formed using the digits 0, 1, 2, 3, 4, 5, and 6, without repeating any of the digits.
To find the number of odd numbers, we need to consider that the last digit must be either 1, 3, or 5, since these are the only odd digits in the set. We can choose the first two digits in the same way as before, and then choose one of the three odd digits for the last digit. Therefore, the number of odd three-digit numbers is:
6 x 5 x 3 = 90
To find the number of three-digit numbers greater than 330, we need to consider that the first digit must be either 3, 4, 5, or 6. We can choose the first digit in 4 ways, and then choose the remaining two digits as before. Therefore, the number of three-digit numbers greater than 330 is:
4 x 6 x 5 = 120
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Which inequality correctly compares One-half, Three-fourths, and Two-thirds?
One-half < Three-fourths < Two-thirds
One-half < Two-thirds < Three-fourths
Two-thirds < One-half < Three-fourths
Three-fourths < One-half < Two-thirds
An inequality correctly compares One-half, Three-fourths, and Two-thirds is: One-half < Two-thirds < Three-fourths.
What is an inequality?An inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values (numbers) and variables in an algebraic equation, especially based on any of the following inequality symbols:
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Translating the numbers in word to numerical values, we have:
One-half = 1/2 or 0.5
Three-fourths = 3/4 or 0.75
Two-thirds = 2/3 or 0.67
Next, we would compare the above numerical values by using the less than (<) inequality symbol as follows:
0.5 < 0.67 < 0.75
One-half < Two-thirds < Three-fourths.
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A 4-pack of golf balls costs $11.60. What is the unit price?
Answer:
2.9
Step-by-step explanation:
11.6 divided by 4 equals 2.9
Answer:
2.9 :)
Step-by-step explanation:
15)PLEASE HELP
best answer brainliest
Points E(–1, –2) and F(4, –2) are the vertices of a square. Give the coordinates of THREE possible pairs of points for the other two vertices.
I already got:
(-1, 3) and (4,3)
(-1,-7) and (4,-7)
what's the third pair? please help!
The coordinates of such remaining pairs are (-1, 3), (4, 3), and (-1, -7), respectively (4, -7) There isn't a third pair. The edges of such a square are its vertices.
The positions of both the remaining pairings were (-1, 3), (4, 3), and (-1, -7), respectively (4, -7)
The criteria are as follows:
\(E= (-1,-2)\)
\(F = (4, -2)\)
Measure the distance EF.
\(EF = \sqrt{(x_{1} -x_{2}) ^{2} +(y_{1} -y_{2})^{2}\)
We do indeed have:
\(EF= \sqrt{(-1-4)^{2} }(-2--2)^{2}\)
\(EF= \sqrt{25}\)
EF= 5
E and F's y-coordinates will gain 5 in total.
\(C = (-1, -2 +5)\)
\(C= (-1,3)\)
\(D = (4 -2 +5)\)
\(D=(4,3)\)
Add 5 less than E and F's y-coordinates.
\(C= (-1-2-5)\)
\(C=(-1,-7)\)
\(D= (4,-2-5)\)
\(D=(4,-7)\)
As a result, the coordinates for the additional pairings are (-1, 3), (4, 3), and (-1, -7), respectively (4, -7) No third pair is present.
When two or more curves, lines, or edges come together, it is called a vertex (plural: vertices or mostly including) in geometry. As a result of this description, vertices are the intersection of two planes that create an angles as well as the edges of polygon and polygonal.
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Write an equation of the line in point slope form (y - y) = m(x - X1) given that the slope is 6 and the line passes through (5, 7). Then convert it to slope-
intercept form.
Point-Slope Form:
Slope-Intercept Form:
Answer:
x1 = -4
y1 = 2
x2 = 0
y2 = 3
m = (y2 - y1) / (x2 - x1)
Plug in the numbers and evaluate m, then either of the 2 equations below represents the line in point slope form:
y - y1 = m(x - x1)
y - y2 = m(x - x2)
Plug in the numbers. The slope intercept form is
y = mx + b
b = 3 (given)
m = result from earlier step
You convert to standard from and finish from here.
If AR= 9 and
AB
I DC
what is the perimeter of ABCD?
Answer:
Required perimeter is 38 units
Step-by-step explanation:
A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who will watch the movie, what is the probability that there are at least 3 girls in the group that watch the movie? A. 0. 018 B. 0. 268 C. 0. 536 D. 0. 821.
Answer:
B. 0.268
Step-by-step explanation:
if there are more than half boys then girls it as t be und .5 since that's half and .018 is to low
What is the equation of the line that passes through the point (-4,5)(−4,5) and has a slope of 0?
Equation of the line which passes through the point (-4,5) and the slope of the line is 0 is equal to y = 0x + 5.
As given in the question,
Line passes through the point ( -4 , 5) and the slope of the line is equal to 0.
Standard equation of the line passes through the point ( x₁ , y₁) and slope m is given by :
( y -y₁ ) / ( x - x₁ ) = m
Substitute the given value of the point ( x₁ , y₁) = ( -4, 5 ) and slope m = 0 in the standard form we get,
( y - 5 ) / ( x - (-4)) =0
⇒ ( y - 5 ) = 0( x +4)
⇒ y = 0x + 5
Therefore, equation of the line which passes through the point (-4,5) and the slope of the line is 0 is equal to y = 0x + 5.
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If y varies directly as the square of x and y =72 when x = 3, find y when x= 5
Answer:
y =200
Step-by-step explanation:
Y varies directly with square of x is given by y = kx ²
72 = k (3)² = 9k
k = 72/9 = 8.
y = kx²
y = (8)(5)²
y = 200
determine the domain and the range of the function .f = {(10,1 ),(17,-6),(45,1 ),(51,5 )}
The given function f, with the provided set of ordered pairs, has a domain of {10, 17, 45, 51} and a range of {-6, 1, 5}.
The domain of a function refers to the set of all possible input values or x-values for which the function is defined. In this case, the given set of ordered pairs determines the domain. Looking at the x-values in the set {10, 17, 45, 51}, these are the unique inputs for which the function f is defined. Hence, the domain of f is {10, 17, 45, 51}.
On the other hand, the range of a function refers to the set of all possible output values or y-values that the function can take. By examining the y-values in the set {-6, 1, 5}, we can observe the distinct outputs generated by the function f. Thus, the range of f is {-6, 1, 5}.
In summary, the domain of the function f is {10, 17, 45, 51}, and the range of f is {-6, 1, 5}.
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The inverse operation of Multiplication.
Answer:
The answer is division.
Step-by-step explanation:
Glad to help.
What is (cos71) 6.3/x
Answer:
2 dp 19.35
1dp 19.4
nearest integer 19
Step-by-step explanation:
\(\frac{6.3}{(\cos71)}\\\)
19.35078697
dp= decimal point
Simplify (-5) to the power of -2
Based on the given parameters, the simplified expression of (-5) to the power of -2 is 1/25
How to simplify the expression?The mathematical statement is given as:
Simplify (-5) to the power of -2
This can be rewritten as:
(-5)^-2
Apply the power rule of indices to the above expression
1/(-5)^2
Evaluate the exponent in the above expression
1/25
Hence, the simplified expression of (-5)^-2 is 1/25; based on the given parameters
This means that the simplified expression of (-5) to the power of -2 is 1/25
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Calculate, to the nearest cent, the future value FV (in dollars) of an investment of $10,000 at the stated interest rate after the stated amount of time. 6% per year, compounded annually, after 7 years
The future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.
To calculate the future value (FV) of an investment of $10,000 at an interest rate of 6% per year, compounded annually, after 7 years, we can use the formula:
FV = P(1 + r)^n
Where:
P is the principal amount (initial investment) = $10,000
r is the interest rate per period = 6% = 0.06
n is the number of periods = 7
Plugging in the values, we have:
FV = $10,000(1 + 0.06)^7
Calculating the expression inside the parentheses first:
(1 + 0.06)^7 ≈ 1.41851
Now, multiply the principal amount by the calculated expression:
FV ≈ $10,000 * 1.41851 ≈ $14,185.10
Therefore, the future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.
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a solid shape is made from centimetre cubes. Here are the side elevation and front elevation of the shape how many cubes are added
To determine the number of cubes added in the solid shape, we need to analyze the side elevation and front elevation. However, without visual representation or further details, it is challenging to provide an accurate count of the added cubes.
The side elevation and front elevation provide information about the shape's dimensions, but they do not indicate the exact configuration or arrangement of the cubes within the shape. The number of cubes added would depend on the specific design and structure of the solid shape.
To determine the count of cubes added, it would be helpful to have additional information, such as the total number of cubes used to construct the shape or a more detailed description or illustration of the shape's internal structure. Without these specifics, it is not possible to provide a definitive answer regarding the number of cubes added.
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i want the answers for these exercise
The expressions when evaluated are J = 3, K = 245, L = 18, M = 6 - 2√5, N = -1, L = 14, P = 2, R = 4 and T = 4
How to evaluate the expressionsExpression J
From the question, we have the following parameters that can be used in our computation:
\(J = \sqrt{2\sqrt{9} + 3}\)
Evaluate the inner square root
\(J = \sqrt{2 * 3+ 3}\\\\\)
So, we have
J = √9
This gives
J = 3
Expression K
Here, we have
K = √(25 * 7⁴)
So, we have
K = 5 * 7²
Evaluate
K = 245
Expression L
Here, we have
L = (3√2)²
Evaluate
L = 18
For other expressions, we have
M = (1 - √5)²
M = 1 - 2√5 + 5
M = 6 - 2√5
N = (√2 + √3)(√2 - √3)
Apply the difference of two squares
N = 2 - 3
N = -1
L = (√7 * √2)²
L = 14
P = (3 - √7)(3 + √7)
Apply the difference of two squares
P = 9 - 7
P = 2
\(R = \sqrt{19 - \sqrt{5 + \sqrt{16}\)
Evaluate the inner square root
\(R = \sqrt{19 - \sqrt{5 + 4\)
\(R = \sqrt{19 - \sqrt{9\)
Evaluate the inner square root
\(R = \sqrt{19 - 3\)
\(R = \sqrt{16\)
Evaluate
R = 4
\(T = \sqrt{11 + \sqrt{29 - \sqrt{13 + \sqrt{6 + \sqrt{8 + \sqrt 1}}\)
Evaluate the inner square root
\(T = \sqrt{11 + \sqrt{29 - \sqrt{13 + \sqrt{6 + \sqrt{8 + 1}}\)
\(T = \sqrt{11 + \sqrt{29 - \sqrt{13 + \sqrt{6 + \sqrt{9\)
Evaluate the inner square root
\(T = \sqrt{11 + \sqrt{29 - \sqrt{13 + \sqrt{6 + 3\)
\(T = \sqrt{11 + \sqrt{29 - \sqrt{13 + \sqrt{9\)
Evaluate the inner square root
\(T = \sqrt{11 + \sqrt{29 - \sqrt{13 + 3\)
\(T = \sqrt{11 + \sqrt{29 - \sqrt{16\)
Evaluate the inner square root
\(T = \sqrt{11 + \sqrt{29 - 4\)
\(T = \sqrt{11 + \sqrt{25\)
Evaluate the inner square root
\(T = \sqrt{11 + 5\)
T = √16
T = 4
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Compare the expression 3 8 and 3 5 x 3 3 using the properties of multiplication what do you notice
Using the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power, it can be seens that that the two expressions are equal to each other.
The properties of multiplication state that when multiplying two expressions with the same base, we can add their exponents together. This means that 3 to the fifth power x 3 to the third power is equal to 3 to the eighth power.
In mathematical notation, this looks like:
3^8 = 3^5 x 3^3
Using the properties of multiplication, we can add the exponents together:
3^8 = 3^(5+3)
Simplifying the exponent:
3^8 = 3^8
This shows that the two expressions are equal to each other. Therefore, we can conclude that 3 to the eighth power and 3 to the fifth power x 3 to the third power are the same value.
Note: The question is incomplete. The complete question probably is: Use the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power.
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evaluate the expression under the given conditions. tan(2); cos() = 7 25 , in quadrant i
The required answer is the value of tan(2) is approximately -2352/3669.
To evaluate the expression under the given conditions, we will first determine the value of sin() using the Pythagorean identity and then use the double-angle formula for tan(2).
A Quadrant is circular sector of equal one quarter of a circle ,or a half semicircle. A sector of two-dimensional cartesian coordinate system. The Pythagorean identity, are useful expression involving the function need to simplified.
Given: cos() = 7/25, and is in Quadrant I.
Step 1: Find sin()
Since we are in Quadrant I, sin() is positive. Using the Pythagorean identity, sin^2() + cos^2() = 1, we can find sin().
sin^2() + (7/25)^2 = 1
sin^2() = 1 - (49/625)
sin^2() = (576/625)
sin() = √(576/625) = 24/25
we are called the Pythagorean identity is Pythagorean trigonometric identity, is expression A to B .
The same value for all variables within certain range. Angle is double or multiply by 2 so we called double- angle.
Step 2: Find tan(2) using the double-angle formula
The double-angle formula for tangent is: tan(2) = (2 * tan()) / (1 - tan^2())
First, we find tan():
tan() = sin() / cos() = (24/25) / (7/25) = 24/7
Now, use the formula for tan(2):
tan(2) = (2 * (24/7)) / (1 - (24/7)^2)
tan(2) = (48/7) / (1 - 576/49)
tan(2) = (48/7) / ((49 - 576) / 49)
tan(2) = (48/7) * (49 / (-527))
tan(2) = (-2352 / 3669)
So, under the given conditions, the value of tan(2) is approximately -2352/3669.
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100 pts: Which of the following tables represents a linear function? x 1 1 0 1 1 y −2 −1 0 1 2 x 0 1 2 3 4 y −3 2 0 −2 3 x −2 −1 0 1 2 y 2 0 −1 0 2 x −2 −1 0 1 2 y 3 1 −1 −3 −5
Table (D) represents a linear function which the graph has been attached below.
What is the Linear function?A linear function is defined as an equation in which the highest exponent of the variable is always one. In mathematics, independent and dependent variables are values that vary in relation to one another.
The table is given in the question, as an option (D)
x: −2 −1 0 1 2
y: 3 1 −1 −3 −5
According to the above table, we plot the graph through the points then we can see that the graph of a function looks linear.
Thus, this table represents a linear function.
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find the net change in the value of the function between the given inputs. f(x) = 6x − 5; from 1 to 6
The net change in the value of the function between x = 1 and x = 6 is 30.
To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.
First, we can find the output value of the function at x = 1:
f(1) = 6(1) - 5 = 1
Next, we can find the output value of the function at x = 6:
f(6) = 6(6) - 5 = 31
The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:
|f(6) - f(1)| = |31 - 1| = 30
Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.
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A maple tree stands 7 1/4
feet tall. Sandy is going to trim the tree by 2 1/3 feet. How tall will the maple tree be after it is trimmed?
Answer:
4 11/12 feet tall
An ant starts at the point (1, 0) on the unit circle and walks counterclockwise a distance of 2 units around the circle. Find the a and y coordinates (accurate to 2 decimal places) of the final location of the final location of the ant.
To find the final location of the ant after it has walked counterclockwise a distance of 2 units around the unit circle, we need to calculate the coordinates (x, y) of the point.
Since the ant starts at the point (1, 0) on the unit circle, we can think of this point as being at an angle of 0 degrees or 0 radians.
To find the coordinates after walking a distance of 2 units counterclockwise, we can calculate the new angle using the arc length formula:
s = rθ
where s is the arc length, r is the radius of the circle (which is 1 in this case), and θ is the angle in radians.
In this case, the arc length is 2 units and the radius is 1, so we have:
2 = 1θ
Solving for θ, we find:
θ = 2 radians
Now, we can use this angle to find the coordinates (x, y) of the final location on the unit circle:
x = cos(θ)
y = sin(θ)
Plugging in θ = 2, we get:
x = cos(2) ≈ -0.42
y = sin(2) ≈ 0.91
Therefore, the approximate coordinates of the final location of the ant are (-0.42, 0.91).
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