The angles and their relationships are -
a) ∠x = 135° (corresponding angles), ∠y = 135° (vertical angles)
b) ∠y = 45° (liner pair angles), ∠x (not enough information provided)
c) ∠x = 135° (corresponding angles), ∠y = 45° (liner pair angles)
d) ∠x = 45° (liner pair angles), ∠y (not enough information provided)
What is angle pair relationship?
In Geometry, there are five fundamental angle pair relationships:
Complementary Angles
Supplementary Angles
Adjacent Angles
Linear Pair
Vertical Angles
a) In the first diagram -
∠x = ∠a as they are both corresponding angles to each other.
So, ∠x = 135°.
Similarly, ∠y = ∠x as they both are vertically opposite angles to each other.
So, ∠y = 135°.
b) In the second diagram -
∠y + ∠a =180° as they are both form a linear pair of angles.
So, ∠y = 180° - ∠a
∠y = 180° - 135°
∠y = 45°.
Now, ∠x cannot be deduced and no proper information is given in the image.
c) In the third diagram -
∠x = ∠a as they are both corresponding angles to each other.
So, ∠x = 135°.
Now, ∠y + ∠x =180° as they are both form a linear pair of angles.
So, ∠y = 180° - ∠x
∠y = 180° - 135°
∠y = 45°.
d) In the fourth diagram -
∠x + ∠a =180° as they are both form a linear pair of angles.
So, ∠x = 180° - ∠a
∠x = 180° - 135°
∠x = 45°.
Now, ∠x cannot be deduced and no proper information is given in the image.
Therefore, all the angles are and their relationships are found.
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a sum of money is divided among two friends in the ratio 4:11 if the smaller amount is $420, determine the larger amount?
Answer:
1155
Step-by-step explanation:
let the ratio be 4x:11x
4x=420
x=105
11x=11*105
=1155
Is the triangle formed by points A, B, and C a right triangle?
Answer:Yes
Step-by-step explanation: It is a right triangle as if you imagine it, you can see that is half of a square, holding a right angle within it.
Frank has constructed a tent in the shape of a square pyramid.
The peak of the tent is at 30 feet and is at a horizontal distance of 20 feet from the left edge. The height of the tent varies at a rate of 1. 5 feet with the horizontal distance from the left edge.
The equation that models the height of the tent, h, in feet, with respect to the horizontal distance in feet from the left edge, d, is h = |d − | +. The height of the tent is 22. 5 feet at a horizontal distance of feet
The equation that models the height of the tent, h, in feet, with respect to the horizontal distance in feet from the left edge, d, is h = 1.5 d + h0.
The height of the tent is 22. 5 feet at a horizontal distance of 15 feet.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The height of the tent varies at a rate of 1. 5 feet with the horizontal distance from the left edge.
This can be written as -
h = 1.5 d, where d is the distance.
So, the equations that models the situation is -
h = 1.5 d + h0
The peak of the tent is at 30 feet and is at a horizontal distance of 20 feet from the left edge.
So, when d =20, then h =30.
Plugging the values in the equation -
30 = 1.5 (20) + h0
30 = 30 + h0
h0 = 0
The height of the tent is 22. 5 feet.
So, now h = 1.5 d and h = 22.5.
Equating these two -
22.5 = 1.5 d
d = 22.5/1.5
d = 15
Therefore, the distance value is obtained as 15 feet.
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Fill in the blank question.
Miss Wade's science class of 20 students is going on a field trip to the zoo. Each student will also take a train ride around the zoo. Mr. Sexton's class of 25 students is going on a field trip to the state park and will take a canoe trip. Admission to the zoo is twice that of the state park's entry fee as shown in the table. Each group will spend the same total amount of money.
Answer:
The total cost of the science class trip to the zoo is $1200
Step-by-step explanation:
The cost of the science class trip to the zoo is $1200, and the cost of Mr. Sexton's class trip to the state park is $1000.
Help I’m stuck on a question
Answer:
3rd one
Step-by-step explanation:
How do i show my working when trying to work out 3 1/3 divided by 4?
Answer:
5/6
Step-by-step explanation:
When dividing fractions, we use a rule where we keep the first number, change the sign, and flip the second number.
3 1/3 must be converted to an improper fraction before we can do this, though.
3 1/3 is 10/3 because we multiply 3 by the denominator, also 3, and then add one, so 10/3.
Now we can divide. Remember 4 is the same thing as 4/1
10/3 ÷ 4/1
Keep the first fraction the same, change the division sign into a multiplication sign, and divide by flip the second fraction.
It ends up looking like 10/3 x 1/4
Multiply: 10 x 1 and 3 x 4
It's 10/12, but we can simplify that by dividing both the top and the bottom by 2.
The final answer is 5/6
hello please help i’ll give brainliest
Answer:
C.
Step-by-step explanation:
PLEASE BRAINLIESTrotation definition math
Answer: a circular movement
Step-by-step explanation: rotation has a central point that stays fixed and everything else moves around that point in a circle.
EX) a full rotation is 360
Translate the triangle.
The enter the new coordinates.
A (-2,4)
C
(-3,2)
B
(1,1)
<-4, -1 >
A'(-6, [?])
B'([ ], [ ])
C'([], [])
Therefore , the solution of the given problem of triangle comes out to be A'(1, 0) (1, 0) , B'(1, 2) (1, 2) and C'(3,-2) (3,-2).
Explain the triangle.The fact that a triangle has four segments or vertices qualifies it as a polygon. It is an elementary geometric form. The name given to a triangle with endpoints A, B, then C is Triangle ABC. A singular plane and square are obtained in Euclidean geometry when the edges are not collinear. Any triangle that has three sides and three corners is a polygon. The triangle's corners are the spots at which its three sides intersect. 180 degrees is the result of three triangle angles.
Here,
The image A'B'C' is formed by our transformation rule, (+3,y-2)
So:
1. Describe the updated coordinates for points A', B', and C'?
In order to locate these new positions, we have:
A' (-23, 2-2) => A'(1, 0) (1, 0)
B' => (-23, 4-2) => B'(1, 2) (1, 2)
C'=> (0+3,0-2) => C'(3,-2) (3,-2)
2. Explain the qualities that would emerge if the respective vertices were linked together by lines.
We can notice the two triangles on the First Figure if we look closely. The green one is A'B'C, while the red one would be the triangle ABC.
The equivalent vertices with in second figure have been joined together by line segments, as shown by the green lines.
Two things can be said about those three lines: first, they are parallel, and second, they are all the same length.
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9/11 - 1/2 in it's simplest form
Answer:
7/22 or 0.31818...
Step-by-step explanation:
have a good day!! :)
PLEASE HELP AMD SHOW WORKING.
Find the y-intercept of the equation 5x-2y=28
a._14
b.-5/2
c.5/2
d.14
Rewrite the equation in slope-intercept form
5x -2y = 28
Subtract 5x from both sides
-2y = -5x + 28
Divide both sides by -2
Y = 5/2x -14
The y intercept is -14
Answer:
Solution given:
5x-2y=28
5x-28=2y
y=5/2x-14
comparing above equation with y=MX+c
where
c=y intercept=-14
-14 is a required answer.
factor the polynomial completely and SHOW WORK i’ve been on it for the past 30 minutes and I want to cry 24x^3-78x^2+45x NO LINKS pls :))
9514 1404 393
Answer:
3(x)(4x -3)(2x -5)
Step-by-step explanation:
First of all, recognize that all coefficients are multiples of 3, and all terms have x as a common factor. This means your first factorization is ...
(3x)(8x^2 -26x +15)
Now, you can use the "X-method" or similar to factor the quadratic. Start by looking for factors of (8)(15) = 120 that have a total of -26. Both will be negative. Here is a list of the positive factor pairs.
120 = 1·120 = 2·60 = 3·40 = 4·30 = 5·24 = 6·20 = 8·15 = 10·12
The sums of these factor pairs are ...
121, 62, 43, 34, 29, 26, 23, 22
The pair with a sum of 26 is highlighted.
Using this information, you can complete the X-method diagram, or you can use these numbers to rewrite the quadratic x-term to have 2 parts:
8x^2 -20x -6x +15
Now, the quadratic can be factored by grouping:
= (8x^2 -20x) +(-6x +15)
= 4x(2x -5) +3(-2x +5)
Recognizing the sign difference between the parentheses contents, we can factor the quadratic to be ...
= (4x -3)(2x -5) . . . . . note the sign gets attached to the 3
So, the complete factorization of the original expression is ...
24x^3-78x^2+45x = 3(x)(4x -3)(2x -5)
According to the synthetic division below, which of the following statements are true? Check all that apply.
A. (x+2) is a factor of 5x2-16x + 12.
B. (x-2) is a factor of 5x2-16x + 12.
C. (5x2 - 16x+12) + (x - 2) = (5x-6)
D. (5x2-16x +12) + (x + 2) = (5x-6)
E. The number -2 is a root of F(x) = 5x2 - 16x + 12.
F. The number 2 is a root of F(X) = 5x2 - 16x+ 12.
Answer:
Correct answer just took the quiz
Step-by-step explanation:
The correct option for the given statement is that (x-2) is a factor of [tex]5x^{2} -16x+12[/tex].
What is a factor?It is a number by which the number whose it is a factor can be divided.
How to divide an equation?To check factor of an equation we need to divide it with so to check (x-2) a factor of [tex]5x^{2} -16x+12[/tex] we need to divide the equation by x-2
=( [tex]5x^{2} -16x+12[/tex])/x-2
=5x-6
So it is a factor of the given equation.
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The sum of two numbers is -6. Their difference is 36. What is the smallest number?
Let first number be x.
Let second number be y.
According to question,
x+y=36…….(equation 1)
and
x-y=6…..(equation 2)
equation 2 can be written as , x=6+y……(equation 3)
Put equation 3 in equation 1,
6+y+y=36
6+2y=36
2y=36–6
2y=30
y=30/2
y=15
now, put y=15 in equation 1,
x+15=36
x=36–15
x=21
So, numbers are 21 and 15.
PLA HELP WILL MARK BRAINLEST AND GIVE 100 points
Answer:
B) measures of variability
Hope this helped :)
1. If 5(x − 6) = − 8, then x = ?
a. -38/5
b. -8/5
c. -2/5
d. 2/5
e. 22/5
Answer:
the answer is e. i hope this helps :)))
5 times a number,incrased by 8
Answer:
5 × x + 8
Would be the equation you are looking for.
Give an example of a quadratic function that has a maximum value. How do you know that it has a maximum value?
An example of a quadratic function that has a maximum value is the parabola defined by the equation y = -(x-3)^2 + 4.
What is quadratic function?A quadratic function is a type of polynomial function that can be written in the form y = ax^2 + bx + c, where a, b, and c are constants and x is the variable. The graph of a quadratic function is a parabola, which can either open upward or downward depending on the value of the leading coefficient (a).
What is equation?An equation is a mathematical statement that asserts the equality of two expressions. It is usually written with an "=" sign between the two expressions, such as y = 2x + 3 or x^2 + y^2 = 1. Equations can be used to model real-world situations, and solving an equation means finding the values of the variables that make the equation true.
We can determine that this function has a maximum value by looking at the leading coefficient of the quadratic term (x^2). In this case, the coefficient is -1, which means that the parabola opens downward. Therefore, since the parabola opens downward, the vertex of the parabola is the highest point of the parabola, which means that it is a maximum point.
Also we can find the vertex of the parabola by using the formula x = -b/2a, in this case x= -0 / 2*-1 = 3/2 =1.5, and using this value in the function, we get the y value which is 4, so the vertex is (1.5,4) which confirms that the function has a maximum value at (1.5,4)
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please help thxsssssssssssssssssssssssssssss
Answer:
x≤3.5Step-by-step explanation:
=>7-2x≤0=>-2x+7≤0=>-2x≤-7 divide 2 by 2 and by 7=>x≤3.5In a right triangle, if the length of the hypotenuse is 5 and the length of one of the other sides is 3, what is the length of the third side?
Answer:
a^2+b^2=c^2
a^2+9=25(5*5)
therefore ,a^2=25-9=16
√16=4
sides are 4 cm,3 cm,5 cm
Step-by-step explanation:
[tex]4.[/tex]
Step-by-step explanation:
Pythagoras theorem says that "In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides". As the Hypotenuse side is already yet given and one of the side of a triangle value is given. Now we should find the value for other side of a triangle. In order to find the value of other side, we should use the Pythagoras theorem formula.
AC² = AB² + BC²
Let AC be the Hypotenuse side, AB and BC be the other two sides of a triangle.
Given:-
AC = 5, AB = 3, BC = ?
Use Pythagoras theorem formula
AC² = AB² + BC²
5² = 3² + BC²
25 = 9 + BC²
25 - 9 = BC²
16 = BC²
√16 = BC
BC = 4.
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
The distance between two points A and B on latitude 60°S along their parallel of latitude is 2816km. Calculate the angular difference in their longitudes. If A is due west of B and on longitude 20°W, find the longitude of B
Answer:
Part A
The angular difference of their longitude is approximately 50.65°
Part B
The location of B is on the longitude of approximately 30.65°E
Step-by-step explanation:
Part A
The given parameters are;
The location of the points A and B = Along the parallel of latitude 60°
The radius of the Earth, R = 6,371 km
The radius at the 60° parallel of latitude, r = R × cos(θ)
∴ r = 6,371 × cos(60°) = 3,185.5
The circumference of the 60° parallel of latitude, C₆₀ = 2 × π × 3,185.5
The angle subtended by the arc formed by their distance apart, θ₁, is given as follows;
θ₁ = 2,816/(2 × π × 3,185.5) × 360 ≈ 50.65°
The angular difference of their longitude, θ₁ ≈ 50.65°
Part B
Given that the location of A is on the longitude 20°W and A is due west of B, we have the location of B is on the longitude (50.65° - 20°)E = 30.65°E
The location of B is on the longitude of approximately 30.65°E.
Can I please have help? No files please!
Answer:
[tex]J.(x,y)[/tex] → [tex](9x,9y)[/tex]
[tex]--------[/tex]
hope it helps..
have a great day!!
Subtract 4 from 1/6 of 42
Here's link[tex]^{}[/tex] to the answer:
bit.[tex]^{}[/tex]ly/3gVQKw3
Answer:
42/6 = 7
7 - 4 = 3
Step-by-step explanation:
Does parallel programming always improve the performance of an application over sequential programming?
Parallel programming can improve the performance of an application over sequential programming in certain cases, but it is not a guarantee.
Explain about working of Parallel programming?Parallel programming allows for the use of multiple processors or cores to perform tasks simultaneously, which can improve the overall speed of an application. However, parallel programming can also introduce complexity and overhead, which can decrease performance. The potential for improved performance depends on the specific application and the design of the parallel implementation. Some applications may not benefit from parallel programming because they are not computationally intensive or because their data is not easily divided into parallelizable tasks. Additionally, the performance improvement also depends on the number of cores and the communication costs between them.
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What happens when you log an e?
When you log an e, you are essentially taking the natural logarithm of the number. This means that you are taking the logarithm of a number to the base e, which is about 2.718. The result of this calculation is the number of times the number must be multiplied by itself to get the original number.
For example, if you were to log an e, it would be equal to 1, since e x e = e. If you log a number bigger than e, such as 8, the result would be equal to 2.079, which means that 8 must be multiplied by itself twice (2.079 times) to get the original 8.
In general, when you log a number, you can think of it as a way of seeing how many times that number needs to be multiplied by itself to get the original number. This can be useful in many fields, from mathematics to engineering to physics, to find the mathematical relationship between two numbers.
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HELP ME ASAP AND I MEAN ASAP
Answer:
9miles
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given P(A and B)= 0.09, P(B)= 0.25. FIND P(A given B)
A:0.34
B:0.29
C:0.02
D:0.36
Mike jogged 6 laps around a 0.25 mile track on Tuesday and 7 laps on Thursday. How many miles did he job on Tuesday and Thursday?
Answer: 3.25 miles
Step-by-step explanation:
Given
Mike Jogged 6 laps around a 0.25-mile track on Tuesday
7 laps on Thursday
Miles jogged on Tuesday is [tex]6\times 0.25=1.5\ \text{mile}[/tex]
Miles jogged on Thursday is [tex]7\times 0.25=1.75\ \text{miles}[/tex]
Total miles Jogged is [tex]1.75+1.5=3.25\ \text{miles}[/tex]
which country are you from?
Answer:
Whom are you asking????
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Answer:
America
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