plz answer the question in the screenshot
Move point A to different locations to change the orientation of the parallel lines. (You'll notice that the tool keeps AB and CD parallel to each other) Be sure that points A and B do not cross EF. Do the relationships among the angles that you noted in questions 2 through 4 change if you modify the set of parallel lines this way? Explain.
Answer:
S.A for Edmentum and Plato
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No. For each set of parallel lines, pairs of alternate interior angles are congruent, pairs of alternate exterior angles are congruent, and pairs of same-side interior angles are supplementary. This is the same result as in questions 2 through 4.
No. For each set of parallel lines, pairs of alternate interior angles are congruent, pairs of alternate exterior angles are congruent, and pairs of same-side interior angles are supplementary. This is the same result as in questions 2 through 4.
How to explain the parallel linesIf we modify the set of parallel lines by moving point A to different locations while ensuring that points A and B do not cross line EF, the relationships among the angles will not change. The statements regarding pairs of alternate interior angles being congruent, pairs of alternate exterior angles being congruent, and pairs of same-side interior angles being supplementary will still hold true.
The reason for this is that the properties of alternate interior angles, alternate exterior angles, and same-side interior angles are dependent on the fact that lines AB and CD are parallel. As long as AB and CD remain parallel, regardless of the position of point A, these angle relationships will remain consistent.
Learn more about parallel line
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PLEASE HELP FAST!!!! Which could be the first in solving the equation represented by the model below?
Which one?
A. Add 4 positive unit tiles to each side
B. Remove 4 unit tiles from each side
C. Add 6 positive unit tiles to each side
D. Remove 6 unit tiles from each side
Answer:
A. add 4 positive unit tiles to each side
Step-by-step explanation:
The reason is because its easier to solve without having to worry about negatives
Olivia Earns $14 per hour at her job and receives a weekly bonus $100. Her total pay for the week of X hours is given by f(x)=100+14x. What is the reasonable domain and range?
Answer:
Step-by-step explanation:
Given the total pay for the week of X hours given by f(x)=100+14x, the domain of the function is the value of the input variable x for which the function exists. Since her to total week cannnot be negative, hence the value of x for which the function occurs is on all positive integers. This is represented according to the set notation;
Domain = [0, ∞)
The range of the function is the value of the output variable f(x) for all vaues of x for which the function occurs. Snce the minimum value of x is 0, the minimum value of the function will be at f(0);
f(0) = 100 + 14(0)
f(0) = 100 + 0
f(0) = 100
Hence the range of the function will be expressed as;
Range = [100, ∞)
18 points help me fast please
You are opening a new checking account. Gringotts Bank has more branches nearby than Tellson’s Bank but charges more fees for cashier's checks. You go into branches every week to deposit cash but never use cashier's checks. Which bank would be the better choice for you?
Use the Rational Root Theorem to list all possible rational roots for the equation.
x³+2x-9=0
a. 1, 2, 3, 9
b. 1, 3, 9
c. 0, 1, 2, 3, 9
d. 1, 2, 3, 9, 18
(for a, b, c, and d, each number is + and -)
given function of f(x) = 2x - 1 and fg(x) = 10x + 3, find the function of g(x)
Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵ [tex]\frac{2[g(x)]}{2}[/tex] = [tex]\frac{10x}{2}[/tex] + [tex]\frac{4}{2}[/tex]
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2
A 2 1/2 pound bag of grass seed covers 1/8 of an acre.How much grass seed is needed for 1 acre
Answer: 8 times more 8*2 1/2 = 20 pounds.
Step-by-step explanation: If 2.5 pounds cover 1/8 then simply multiply the 2.5 by 8, since you'll need 8/8. 8/8=1.
I hope this helps :)
A group of 5 friends move into an apartment together to save on rent. The total monthly rent of the apartment is $4750 . Since the bedrooms are different sizes, the friends decide that each person should pay a different amount instead of splitting the rent evenly.
One of the friends named Nicole notices that her monthly rent is
D dollars less than it would be if the rent was split evenly. What is Nicole's monthly rent? Write your answer as an algebraic expression.
Answer: 950 - d
Step-by-step explanation:
4750 / 5 friends = 950.
then d dollars less is 950-d
what is X for this 4x/3-3x+1=10
Answer:
x = 1
Step-by-step explanation:
(4x/3) - 3x + 1 = 10
(4x/3) -3x = 9
4x - x = 3
3x = 3
x = 1
Answer my math question I asked so many times I lost most of points
Answer:
f(x) = (x+1)^2 - 9
Answer:
A = 1
B = 2
C = -8
Y intercept is (0,8)
The line of symmetry is x = -1
Min/max is (-1, -9)
Opens up
Domain is (-infinity, infinity)
Range is (-9, infinity)
The vertex is (-1,-9)
I need help please! If I can I will mark brainleist for the one who’s right!
Answer: A
Step-by-step explanation:
Answer:
D: 20 cans of tuna for $13Step-by-step explanation:
First:
1. Find out the price of one can
A: $2.50 is per can
B: $1.92 is per can
C: $2.22 is per can
D: $1.54 is per can
The second step is:
Eliminate the most expensive
So, what we have left is
B: $1.92 is per can
D: $1.54 is per can
The cheapest is D: $1.54 is per can.Which can also be said as the smallest price for each canSo the last choice is the answer.Hope this helped,
Kavitha Banarjee
PLEASE PLEASE HELP I WILL GIVE BRAINALSIT
please answer 8 and 9
Answer:
8 is 7 and 9 is no, because charlie only saves around 1/4 but melody saves around 1/3
Step-by-step explanation:
Answer:
8: 7
9: No
Step-by-step explanation:
What equation best represents the following sentence?
The sum of a number and two is twice the number.
n+2=2n
n−2=2n
n+2=2+n
n+n=2n
Answer:
2n + 1 to find the first odd number.
Step-by-step explanation:
that is it
Alisa types 900 words in 20 minutes. what is her typing speed in words per minute?
Answer:
45 words per minute
Step-by-step explanation:
900 words divided by 20 minutes= 45 words per minute
A women spent two thirds of her money. She lost two thirds of the remainder and then had $4 left. How much money did she start with?
Answer: She originally had $36
Step-by-step explanation: 4x3 = 12, then multiply that by 3, and you get 36. Because to find the whole you need to multiply each number by three.
how many inches are in 16 centimeters?
Answer:
6 1/4 inches
Step-by-step explanation:
Can somebody please help me with this math question please
Answer:
Step-by-step explanation:
isosceles triangles are ones that have two equal sides and angles. this would mean that ab is equal to bc. then you substitute the values in for AB=BC, 3x-4=5x-10. you bring the variables to one side and you flip everything which is then 2x=6 and then divide by 2. this would be x=3. then you have to figure out the AB. 3(3)-4=5. then you can always check for BC, 5(3)-10=5. and they are equal! hope i helped!
1.
Each exterior angle of a regular polygon is 30°.
Work out the number of sides of the polygon.
(2 marks)
Answer:
Dodecagon (12 sides)
Step-by-step explanation:
PLS GIVE BRAINLIEST
Lance made four phone calls from his cell phone today. The calls
lasted 4.7, 9.4, 2.3, and 10.6 minutes. Use mental math to find the
total amount of time he spent on the phone.
Answer:
27
Step-by-step explanation:
Just add all numbers together.
help
state the multiplicity for each root
[tex]3(x^{2} + 5)^ {2} ( {x}^{2} - 25)^{3} (x - 8)^{4} = 0[/tex]
state the multiplicity for each root
Answers:
The two complex or imaginary roots [tex]x = i\sqrt{5}[/tex] and [tex]x = -i\sqrt{5}[/tex] have multiplicity 2.The two real roots x = 5 and x = -5 have multiplicity 3The root x = 8 has multiplicity 4======================================================
Explanation:
We'll use the zero product property to solve.
[tex]3(x^2+5)^2(x^2-25)^3(x-8)^4 = 0\\\\(x^2+5)^2=0 \text{ or } (x^2-25)^3=0 \text{ or } (x-8)^4 = 0\\\\x^2+5=0 \text{ or } x^2-25=0 \text{ or } x-8 = 0\\\\x^2=-5 \text{ or } x^2=25 \text{ or } x = 8\\\\x=\pm\sqrt{-5} \text{ or } x=\pm\sqrt{25} \text{ or } x = 8\\\\x=\pm i\sqrt{5} \text{ or } x=\pm 5 \text{ or } x = 8\\\\[/tex]
where [tex]i = \sqrt{-1}[/tex]
----------------------
The notation [tex]x=\pm i\sqrt{5}[/tex] breaks up into [tex]x=i\sqrt{5} \text{ or } x=-i\sqrt{5}[/tex]. The multiplicity of these two roots is 2 as it's the exponent of the factor [tex](x^2+5)^2[/tex]. Focus on the outermost exponent.
The notation [tex]x = \pm 5[/tex] becomes [tex]x = 5 \text{ or } x = -5[/tex]. The multiplicity of these two roots is 3 since it's the outermost exponent of the factor [tex](x^2-25)^3[/tex]
And finally, the multiplicity of the root x = 8 is 4 because it is the outermost exponent of the factor [tex](x-8)^4[/tex]
Jessica is saving money to buy a phone that costs $415. She already has $85 saved. She mows lawns to make extra money. She charges $15 per lawn that she mows. Let n be the number of lawns she needs to mow to have enough money saved to buy the phone. Which could be used to find how many lawns she needs to mow?
Answer:
22 lawns
Step-by-step explanation:
Phone= $415
Saved = $85
Money needed: $415 - $85 = $330
1 law mowed = $15
# of lawns needed to be mowed: $330 ÷ $15 = 22 lawns
Ans. = 22 lawns
hope this helps
[tex]\frac{6\sqrt{3} }{7\sqrt{8} }[/tex]
Someone help me with this please thank you !!!
Answer:
Around 10.8
Step-by-step explana
4²+10²=c
What is the solution to the inequality + 4
+ 450?
O (-0, -28)
0 (0, -28]
LO (28,-)
O [28, )
The
Answer:
B
Step-by-step explanation:
Jennifer bought some tulips, lilies, and roses to make bouquets. She bought the same number of tulips as lilies. She bought three more roses than tulips and lilies combined. She paid 18 cents for each tulip. The lilies were 27 cents per flower, and the roses cost 55 cents each. How many of each kind of flower did Jennifer buy if she paid $17.15 in all?
Answer:
z = 18.5
y = 15.5
x = 15.5
Step-by-step explanation:
Let
tulips = x
lilies = y
roses = z
x = y
z= x + 3 or y + 3
The equation is
0.18x + 0.27y + 0.55z = 17.15
Substitute x = y and z = y + 3 into the equation
0.18y + 0.27y + 0.55(y + 3) = 17.15
0.18y + 0.27y + 0.55y + 1.65 = 17.15
y = 17.15 - 1.65
= 15.5
x = y
x = 15.5
z = x + 3
= 15.5 + 3
= 18.5
Therefore,
z = 18.5
y = 15.5
x = 15.5
One litre of milk is poured into a cylindrical container of radius 10 cm. Calculate the depth of the milk in cm)to 2 dp. ( take pi = 3.142)
Answer:
Depth=3.18cm
Step-by-step explanation:
V=πr2h
1LITRE=1000CM3
v=1000cm³
1000cm3=3.142×10²×Depth
Depth= 1000/3.142×100
Depth=3.18cm
Evaluate the expression |- 15| + | -7|
Answer:
Step-by-step explanation:
The lines in between the numbers are called absolute value bars. Whenever you see numbers that have absolute value bars, know that the numbers become positive.
Therefore,
|-15| = 15
|-7| = 7
Now we just add,
15+7=22
Final answer = 22
-2(b-5)=16 x when b is 3 is
Answer:
When B is 3, it is not answerable. The sides are not equal, if it were -3 the answer would be 16.