based on the pattern of the drawings which conjecture is reasonable to make?
A. when a pair of parallel lines is intersected by a third line, the corresponding angles are complementary
B. when a pair of parallel lines is intersected by a third line, all of the angles formed are congruent.
C. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruent
D. when a pair of parallel lines is intersected by a third line, the corresponding angles are supplementary.
Answers
the 2 angles in each picture are the same - meaning they are congruent,
so the answer is:
C. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruent
Conjectures are simply opinions from a given information.
The conjecture that can be formed is: C. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruent
From the three diagrams, we can see that:
[tex]\mathbf{30^o = 30^o}[/tex][tex]\mathbf{35^o = 35^o}[/tex][tex]\mathbf{50^o = 50^o}[/tex]From the figures above, we have the following observations
The angles are congruentThe angles are correspondingThe congruence of the angles is based on parallel lines, intersected by a third line (i.e. the transversal)Hence, the conjecture that can be formed is: option (c)
Read more about conjectures at:
https://brainly.com/question/11224568
Related Questions
1. Which statement about subatomic particles is not true?
Protons and electrons have opposite charges.
Neutrons have no electrical charge.
Protons and neutrons have the same charge.
Protons and neutrons have nearly the same mass.
2.
Which term describes the sum of the number of protons and neutrons in an atom?
mass number
nuclear charge
atomic charge
atomic number
3.
Which is not part of John Dalton’s atomic theory?
All elements are composed of atoms.
Atoms are made up of smaller particles.
Atoms of different elements have different masses.
4.
All atoms of the same element have the same mass.
Dalton’s model of an atom is best described as _____.
a scoop of chocolate chip ice cream
a solar system
a cloud
a solid sphere
5.
Who provided the first evidence that atoms contain subatomic particles?
J. J. Thomson
Ernest Rutherford
John Dalton
6.
Which statement about electrons and atomic orbitals is not true?
An atom’s lowest energy level has only one orbital.
An electron has the same amount of energy in all orbitals.
An electron cloud represents all the orbitals in an atom.
An orbital can contain a maximum of two electrons.
7.
How is heavy water different from normal water?
A hydrogen atom in heavy water has an extra proton.
A hydrogen atom in heavy water has an extra neutron.
An oxygen atom in heavy water has an extra neutron.
An oxygen atom in heavy water has an extra proton.
8.
What experimental evidence did Thomson use to support his hypothesis that atoms are made up of even smaller, charged particles?
The glowing beam was always deflected by charged plates.
Identical particles were produced no matter which metal he used.
The particles all had the same mass as a hydrogen atom.
9.
Atoms may emit light energy when _____.
electrons move to a higher energy level
protons move to a higher energy level
protons move to a lower energy level
electrons move to a lower energy level
10.
Which term describes the region in which an electron is most likely to be found?
isotope
path
orbital
cloud
11.
According to Dalton, if 2 grams of element X combine with 4 grams of element Y to form compound XY, how many grams of element X would combine with 28 grams of element Y to form the same compound?
28
14
7
56
12.
An electron is a particle with a _____.
positive charge, found outside the nucleus
negative charge, found in the nucleus
positive charge, found in the nucleus
negative charge, found outside the nucleus
13.
The glow of a neon light is caused by electrons emitting energy as they _____.
move from higher to lower energy levels
collide with the nucleus
move from lower to higher energy levels
collide with other electrons
14.
To find the number of neutrons in an atom, subtract its _____.
atomic number from its mass number
mass number from its atomic number
isotope number from its atomic number
15.
Which is the best analogy describing the location of an electron in an atomic orbital?
pins on a map plotting your location every minute of a school day
the path of a bee moving from flower to flower in a garden
free-thrown basketballs bouncing on a basketball court
Answers
Answer:
12 is a negative charge outside the nucleu
Step-by-step explanation:
What is the length of leg s of the triangle below
Answers
s^2 + 3^2 = 18
s^2 = 9
s = 3
answer is B
Answer: The correct option is (B) 3.
Step-by-step explanation: We are given to find the length of the leg s in the triangle shown in the figure.
From the figure, we note that
the given triangle is a right-angled one, where
length of the hypotenuse, H = √18 units,
length of one leg, P = 3 units
and
length of the other leg, s = B =?.
From Pythagoras theorem, we have
[tex]H^2=P^2+B^2\\\\\Rightarrow (\sqrt{18})^2=3^2+B^2\\\\\Rightarrow 18=9+B^2\\\\\Rightarrow B^2=18-9\\\\\Rightarrow B^2=9\\\\\Rightarrow B=3.[/tex]
Thus, the length of the leg s is 3 units.
Option (B) is CORRECT.
Find the average rate of change for the given function from x = −1 to x = 2.
Graph of f of x equals negative three x plus 2
Answers
[tex]the \: average \: rate \: of \: change = \frac{f(x2) - f(x1)}{x2 - x1} \\ \frac{f(2) - f( - 1)}{ 2 - - 1} = \\ \frac{ - 3(2) + 2 - ( - 3( - 1) + 2)}{3} = \\ \frac{ - 6 + 2 - 3 - 2}{3} = \frac{ - 9}{3} = - 3[/tex]
Answer:
Average rate of change: [tex]-3[/tex]
Step-by-step explanation:
We are asked to find average rate of change for our given function [tex]f(x)=-3x+2[/tex].
We will use average rate of change formula to solve our given problem.
[tex]\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}[/tex]
Upon substituting our given values in above formula, we will get:
[tex]\text{Average rate of change}=\frac{f(2)-f(-1)}{2-(-1)}[/tex]
[tex]\text{Average rate of change}=\frac{(-3(2)+2)-(-3(-1)+2)}{2-(-1)}[/tex]
[tex]\text{Average rate of change}=\frac{(-6+2)-(3+2)}{2+1}[/tex]
[tex]\text{Average rate of change}=\frac{(-4)-(5)}{3}[/tex]
[tex]\text{Average rate of change}=\frac{-4-5}{3}[/tex]
[tex]\text{Average rate of change}=\frac{-9}{3}[/tex]
[tex]\text{Average rate of change}=-3[/tex]
Therefore, the average rate of change for our given function from [tex]x=-1[/tex] to [tex]x=2[/tex] is [tex]-3[/tex].
Wendi worked for $6 an hour for the first month she was on the job. She was then given a raise to $6.24 an hour. What was the percent of her wage increase?
Answers
I hope I helped..
chelsea is 4 years older than her brother. translate the verbal description into an equation. use the verbibale c to represent chelsea age and b to represent her brothers age
Answers
=4
Find the value of x in the triangle shown below
How do I do this?
Answers
Find the missing side length.
Answers
(√3)² + b² = 5²
3 + b² = 25
b ² = 22
b = √22
hope this helps
Add.
(2x + 5) + (3x - 7)
A) x - 2
B) x + 2
C) 5x - 2
D) 5x + 2
Answers
Answer:
C) 5x - 2
Step-by-step explanation:
When parentheses are preceded by a + sign, they may be immediately removed. Two additions and one subtraction are called for here: 2x + 5 + 3x - 7. This is 5x - 2.
(2x + 5) + (3x - 7)
2x + 5 + 3x - 7
2x + 3x - 7 + 5
5x - 2.
Hope this helps!!!
When washing your hands, the correct amount of time to scrub your hands is approximately: select one:
a. 30 seconds.
b. 5 seconds.
c. 10-15 seconds.
d. 1 minute?
Answers
Hope I helped :)
When converting from binary to hexadecimal, 4 binary digits is equivalent to _____ hexadecimal digit(s)?
Answers
Final answer:
In conversions from binary to hexadecimal, 4 binary digits are equivalent to 1 hexadecimal digit due to the fact that the base-16 system of hexadecimal can represent any combination of 4 binary digits (base-2 system).
Explanation:
When converting from binary to hexadecimal, 4 binary digits are equivalent to 1 hexadecimal digit. This is because binary is a base-2 system and hexadecimal is a base-16 system. Each hexadecimal digit can represent 4 binary digits since 24 = 16. Here's a quick conversion table for single binary digits to hexadecimal:
0000 = 0
0001 = 1
0010 = 2
0011 = 3
0100 = 4
0101 = 5
0110 = 6
0111 = 7
1000 = 8
1001 = 9
1010 = A
1011 = B
1100 = C
1101 = D
1110 = E
1111 = F
Therefore, when performing this conversion, group the binary numbers into sets of 4 digits from right to left and then convert each group to the corresponding hexadecimal digit.
Solve for x: 14 = 0.1x 14 140 1.4 .14
Answers
The value of x that satisfies the equation 14 = 0.1x is 140.
Explanation:To solve the equation 14 = 0.1x, we can start by dividing both sides of the equation by 0.1 to isolate x. This gives us 14/0.1 = x, which simplifies to 140 = x. So, the value of x that satisfies the equation is 140.
Find the inverse function for
\(\large\bf{f(x)= \sqrt{2x-6}}\)
I found that it was
\(\large\bf{\color{Red}{y=\frac{1}{2}x^{2} + 3}}\)
but I am to restrict the function would it be \(\bf{x \ge 0}\)?
Answers
that is correct hmmmm, yes, I think the restriction is also correct, it has to be x > 0, because, the domain on the original, has a restriction of x⩾3, otherwise the radicand turns negative.
now, the graph of that original function is a parabola sideways opening to the right, if you include both sides of the vertex of the parabola, it will not pass the vertical-line-test and not be a function, but if you restrict it to only positive roots, so it'll only be on the 1st quadrant, then it functions ok.
that means, the range of the original function, has to stick to only 0 or positive root values, now, recall that the range of the original is the domain of the inverse. Therefore, the domain of the inverse, will have to stick to only 0 or positive values, since it's bound to the same restriction as the original's range.
notice the picture below of both, the dashed section is the positive range for each, if you include it, the original will fail the vertical-line-test, and the inverse will fail the horizontal-line-test.
recall that for a function to have an inverse, they both must pass the vertical and horizontal line test, or be a one-to-one functions.
What is the first step in solving a quadratic equation of the form given below? (ax + b)2 = c
Answers
hope this helps
Answer:
The answer on apex is: Take the Square Root of both sides.
Step-by-step explanation:
The sum of twice a number and 17 less than the number is the same as the difference between -5 and the number. What is the number?
Answers
4x = 17-5 = 12
x = 3
In a standard deck of 52 playing cards, which king does not have a mustache?
Answers
Your answer would be:
King of hearts.
Hope This Helps You!
Good Luck :)
- Hannah ❤
The King of Hearts is the card without a mustache. Whether you should play a game where you draw cards for money depends on the expected value calculation. Understanding the difference between sampling with and without replacement is key in card probability problems.
Explanation:In a standard deck of 52 playing cards, the king without a mustache is the King of Hearts. Now, regarding the different scenarios involving card games with a standard deck:
When you play a game where drawing a face card wins you $30, and a non-face card makes you pay $2, you need to consider the expected value of the game. With 12 face cards and 40 non-face cards, your expected winnings would be (12/52) * $30 - (40/52) * $2, which may or may not be positive. You should calculate this to decide if you should play the game.When drawing two cards without replacement from a standard deck, the probabilities will change after the first draw since there are fewer cards remaining in the deck. You would create and use a tree diagram to calculate the precise probabilities of each combination.The probability of being dealt a bridge hand that does not contain a heart would require calculating the combinations of all possible non-heart cards from the remaining three suits.When comparing scenarios a. and b. above, scenario a represents sampling without replacement because once a card is drawn, it is not put back into the deck, whereas scenario b represents sampling with replacement as each card is put back before the next one is drawn.What are the coordinates of the point (x,y) after being translated m units left and n units up?
Answers
Determine which equations below, when combined with the equation 3x minus 4y equals 2, will form a system with no solutions. choose all that apply.
Answers
3x - 4y = 2
3x/2 - 2y = 1
Another dependent equation is when you multiply the whole equation with a number, say 3.
(3x - 4y = 2)3
9x - 12y = 6
Between which two integers does √64 lie?
Answers
The opening balance of one of the 31-day billing cycles for Lorenzo's credit card was $4100, but after 15 days Lorenzo made a payment of $2300 to decrease his balance, and it stayed the same for the remainder of the billing cycle. If his credit card's APR is 24%, how much more in interest would he pay for the billing cycle with the previous balance method than with the adjusted balance method? A.$83.57
B.$46.88
C.$36.69
D.$120.26
Answers
31 days = 7,400
15 days = payment of 4,900
16 days = 7,400 - 4,900 = 2,500
Method 1:
7,400 * 22% * 31/365 = 138.27
Method 2: adjusted balance
7,400 * 22% * 15/365 = 66.90
2,500 * 22% * 16/365 = 24.11
66.90 + 24.11 = 90.21
138.27 - 90.21 = 48.06
She would pay 48.06 more with the previous balance method than with the adjusted balance method.
Solution:
Adjusted Balance method
Amount in Lorenzo credit card in the beginning of month= $ 4100
Payment made = $ 2300
Amount in Lorenzo credit card after 15 days = $ 4100 -$ 2300= $ 1800
APR= 24 %
Monthly APR = [tex]\frac{24\times 31}{365}=2.038[/tex]%
2.03% of 1800=$ 36.54
Previous Balance method:
Amount possessed at the beginning of the month= $ 4100
APR= 24 %
Monthly APR = [tex]\frac{24\times 31}{365}=2.038[/tex]%
2.038% of 4100=$ 83.23
The interest that Lorenzo would pay for the billing cycle with the previous balance method than with the adjusted balance method
= $ 83.23 - $ 36.54
= $ 46.69→→ option (B)
Find the measure of z.
Answers
what is 31590 rounded to the nearest thousand
Answers
Simplify
2x x y x 3
Answers
2x times y times 3 = 6xy
or,
2xxyx3= 6x^3y
To simplify 2x * y * 3, multiply the coefficients (2 and 3) and the variables (x and y) separately, resulting in the simplified expression 6xy.
Explanation:To simplify the expression 2x * y * 3, we can multiply the coefficients and the variables separately. The coefficients are 2 and 3, so their product is 2 * 3 = 6. The variables are x and y, so their product is xy. Putting it all together, the simplified expression is 6xy.
Learn more about Simplifying expressions here:https://brainly.com/question/29003427
#SPJ2
what is the coefficient in the expression x / 3 + 7
Answers
Answer:
The coefficient of x is [tex]\frac{1}{3}[/tex]
7 is a constant
Step-by-step explanation:
[tex]\frac{x}{3} +7[/tex]
We need to find the coefficient of each term in the given expression
x/3 can be written as 1/3 times x
The coefficient is the number with the variable x
The coefficient of x is [tex]\frac{1}{3}[/tex]
7 is a constant
EASSSSSSSSSSSSSSSSSSY
Answers
Explain how proving two triangles congruent can help prove parts of the triangle congruent.
Answers
Have an awesome day! :)
Which are the solutions of x2 = –13x – 4? 0, 13 0, –13
Answers
Answer:
Option 3 and 4 - 0,-13
Step-by-step explanation:
Given : Expression [tex]x^2=-13x-4[/tex]
To find : What are the solutions?
Solution :
The quadratic formula of the quadratic equation [tex]ax^2+bx+c=0[/tex] is
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Comparing with general equation, [tex]x^2+13x+4=0[/tex]
where, a=1 ,b=13, c=4
Substitute in the formula,
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-13\pm\sqrt{13^2-4(1)(4)}}{2(1)}[/tex]
[tex]x=\frac{-13\pm\sqrt{169-16}}{2}[/tex]
[tex]x=\frac{-13\pm\sqrt{153}}{2}[/tex]
[tex]x=\frac{-13+\sqrt{153}}{2},\frac{-13-\sqrt{153}}{2}[/tex]
The value of x is [tex]x=-0.315,-12.68[/tex]
Approximately the solution of the expression is x=0,-13.
Make t the subject of the formula 2(t-5) = y
Answers
t - 5 = y/2
t = y/2 + 5
anything else?
A salad recipe calls for 1 3/4 cups of chopped tomatoes. The recipe calls for 4 1/7 times as many cups of lettuce as tomatoes. How many cups of lettuce do you need for this recipe?
4 1/7 cups
4 3/28 cups
7 1/4 cups
7 1/7 cups
Answers
Rhea is a freelance writer. She works for multiple clients and has several sources of income. Some of her clients pay her more than $600 for her work. These clients always send a specific form to her where she has to report her gross payments. What form do you think the clients are sending to Rhea?
Answers
What is the answer to the question above? I need help with it.
Answers
The equation would be: y=$3x+$30
Where y is the total cost and x is the number of tickets/entry.
Non-club members:
y=$6x+30
Find their intersection to find at what point both members would be pay equally.
$6x+$30=$3x+30 (knowing that their y values should be the same, we can equal them)
6x=3x +30-30
6x-3x=0
3x=0
x=0
Therefore, at 0, both members would be paying the same amount, $30.
Hope I helped :)