Answers
Answer:
A
Step-by-step explanation:
It is given that lines k and p are parallel. You also know that angles 2 and 3 are equal because of vertical angles. Due to the parallel lines, you can say that angles 1 and 2 are equal because they are corresponding angles (same-side).
These two angles are not alternate interior angles because angle 1 is exterior and on the same side as angle 2. The third option would not make sense because you are trying to prove two angles are equal, not that lines are parallel.
Related Questions
30 POINTS!!! PLEASE ANSWER ASAP!!!
Caroline is going to drive from her house to City A without stopping. Caroline plans to drive at a speed of 50 miles per hour and her house is 200 miles from City A. Make a table of values and then write an equation for D, in terms of t, representing Caroline’s distance from City A t hours after leaving her house.
Please also provide what t equals. Thank you
Answers
Answer:
0, 150, 100, 50 | T=200-50x
Step-by-step explanation:
So you start with 200 miles to go and you are going 50 miles per hour. In the first hour, 50 miles would have been completed meaning that you subtract 50 miles from the remaining distance. Same with the other hours.
To put that in an equation, You would start with 200 and for every hour(x)you would subtract 50.
A fair quarter, a fair dime, a fair nickel, and a fair penny are tossed. Find the probability of obtaining exactly one head.
Answers
We know that the probability of getting a head in a single coin is:
[tex]p=0.5[/tex]Now, we can calculate the probability of X out of N coins landing heads up with the binomal distribution:
With p = 0.5 and N = 4, we get:
Subtituting X = 1 ("getting one head"), we get that:
[tex]P=0.0625[/tex](8.59×10 4 )−(3.2×10 3 )
Answers
Answer:
The answer is 8.27×10^4
Answer: 8.27×10^4
Step-by-step explanation:
IMAGE ATTACHED. On average, Ian drinks 5/6 of a 6-ounce glass of water in 5 minutes. How much water does he drink, in glasses per hour? please help
Answers
Step-by-step explanation:
multiply 5 by 12 to get 60 minutes or 1 hour
60/6 will equal 10
Ian will drink 10 glasses of water per hour
How many ways can four guests sit in a row of six chairs?
Answers
Answer:
360
Step-by-step explanation:
There are 6 spaces and 4 people.
_ _ _ _ _ _
The first person to choose a seat can choose any of the 6 seats.
The second person can choose any of the 5 remaining seats.
The third person can choose any of the 4 remaining seats.
The fourth person can choose any of the 3 remaining seats.
Now, we do 6 x 5 x 4 x 3 to figure out the total number of ways they can sit in the seats.
6 x 5 x 4 x 3 = 360 ways
10. Evaluate (14-2)÷3(2-3) - 2²Mark only one oval.A. OB. 2C. 20D. 22
Answers
Order of the operations: parentheses, exponentials, division and multiplication, addition and subtraction.
1. Solve operations in parentheses:
[tex]=12\div3\cdot6-2^2[/tex]2. Solve exponentials:
[tex]=12\div3\cdot6-4[/tex]3. Solve division:
[tex]=4\cdot6-4[/tex]4. Solve multiplication:
[tex]=24-4[/tex]5. Solve subtraction:
[tex]=20[/tex]Then, the solution for the given expression is 20Answer: Answer is 20( please make me brainliest i just did this all in my head)
Step-by-step explanation: soo (14-2) =12 12divided by 3=4 so (2*3)= 6 so 4x6=24 24-2*2 =20 (2*2)=4 so 24-4=20 well this is confusing but i tried my best so hope my answer wasn't toooo confusing lol :)
Use the graph of f below. Assume the entire function is graphed below.Find ƒ(−1).ƒ(−1) = 0ƒ(−1) = −3ƒ(−1) = −1ƒ(−1) = −5
Answers
Answer:
ƒ(−1) = −3
Explanation:
From the graph, we have the point (-1, -3).
This means that:
• When x=-1
,• The value of f(x)=-3.
Therefore, the value of f(-1) is -3.
The table shows deshawna's science grade during four grading periods. How much greater was the percentage change in her grade from grading period 1 to 2 than from grading period 2 to 3. round to nearest tenth
Answers
Since the percent grade in period 1 was 92% and in period 2 was 96%, then the percent change from period 1 to 2 was 4%.
Since the percent grade in period 2 was 96% and in period 3 was 99%, then the percent change from period 2 to 3 was 3%.
Since 4% is 1% greater than 3%, then the percent change from grading period 1 to 2 was 1% greater than the percent change from grading period 2 to 3.
Therefore, the answer is: 1.0%.
This math question please
Answers
Determine if the correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship.The number of times a person exercises per week and their endurance.
Answers
Answer:
[tex]\text{Positive Correlation}[/tex]Explanation:
Here, we want to determine the type of correlation relationship
From science, we understand that engaging in exercise helps internal organs to function better. These are the sources of endurance
Exercising for a couple of more times, all things being equal means there will be more endurance. We can largely say that, for most people, it is expected that the higher the number of time spent exercising, the higher the endurance being built
Thus, we can conclude there is a positive correlation between the two
1. -V64Name the set or sets or numbers to which each real number belongs?
Answers
1) an integer and a rational number
Explanation:
1) -√64 = -4
This is an integer.
Integers include natural numbers, the opposites of this numbers and zero.
-4 is a negative number and the opposite of the natural number 4
Hence -4 is an integer.
-4 can be written as a fraction:
-4 = -4/1
Hence, it is also a rational number
Astronomers use a light year to measure distance. a light year is the distance light travels in one year. The speed is approximately 300,00km/sec. how long will it take a rocket traveling 63,000km/hr to reach Alpha Centauri (the ⭐ closest to Earth other than the ). Note: Alpha Centauri is approximately 4.34 light years from Earth. which is 4.11 x 10^13 km away (when using scientific notation). one light year is 9.46 x 10^12 km.
Answers
Speed of light = 300,000 km/sec
Rocket's speed = 63,000 km/hr or 6.3 x 10⁴ km/hr
Alpha Centauri distance from Earth = 4.11 x 10¹³ km
One light year (distance) = 9.46 x 10¹² km
To solve for the time it takes it travel, we can manipulate the speed formula.
[tex]\begin{gathered} \text{speed}=\frac{dis\tan ce}{\text{time}} \\ \text{time}=\frac{dis\tan ce\text{ }}{\text{speed}} \end{gathered}[/tex]We already have the distance of Alpha Centauri from Earth written above. We also have the speed of the rocket written above too. We will substitute those values to the formula.
[tex]\begin{gathered} \text{time}=\frac{4.11\times10^{13}\operatorname{km}}{6.3\times10^4\operatorname{km}\text{ /hr}} \\ \text{time}=0.6523809524\times10^9 \\ \text{time}=6.52\times10^8\text{ hr} \end{gathered}[/tex]BRO PLS HELP, I HAVE LIKE 20 MISSING ASSIGNMENTS
It should be easy lol
Answers
Answer:
B C and D
Step-by-step explanation:
Answer:
2π=6.2831853071795864769252867
Find all possible values of the expression 1/a
1/2
__<1/a<__
Answers
The possible values of the expression 1/a = 1/2 is 2
The expression is the simple fraction form = 1/a
The expression is the defined as the a sentence with a minimum of two variables and at least one math operation.
The simple fraction is fraction that contains the numerator and denominator as whole number. The term one the top of the simple fraction called as the numerator and bottom term is called as the denominator.
Here it is given that
1/a = 1/2
Therefore the value of a = 2
Hence, the possible values of the expression 1/a = 1/2 is 2
Learn more about simple fraction here
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PEOPLE PLEASE HELP GO ON MY PROFIL AND HELP ME with the things i put today i really need help please help HELP HELP HELP ME PLEASE I NEED HELP!
Answers
Step-by-step explanation:
i don't knowhdjkedgeike
PCA) = 1/3 P(В) = 2/9 PIAUB) = 4/9 Find P(An B). 1 1/9 ОООО 20/18 О 1/3
Answers
Solution:
Remember the following formula :
P(AUB) = P(A)+P(B)-P(AnB)
According to the data of the problem and applying the previous equation, we obtain the following equality:
[tex]\frac{4}{9}=\frac{1}{3}+\frac{2}{9}-\text{ P(A n B)}[/tex]This is equivalent to:
[tex]\frac{4}{9}=\frac{5}{9}-\text{ P(A n B)}[/tex]solving for P(A n B), we get:
[tex]\text{ P(A n B )= }\frac{5}{9}-\frac{4}{9}=\frac{1}{9}[/tex]so that, we can conclude that the correct answer is:
[tex]\frac{1}{9}[/tex]Solve the inequality for x. Show each step of the solution.
12(x+3)>4x-8
Answers
Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
12x+36>4x−8
Step 2: Subtract 4x from both sides.
12x+36−4x>4x−8−4x
8x+36>−8
Step 3: Subtract 36 from both sides.
8x+36−36>−8−36
8x>−44
Step 4: Divide both sides by 8.
8x/8 > -44/8
Therefore your answer will now equal [tex]x > \frac{-11}{2}[/tex]
[tex]{ \boxed{ \pink{ \sf{x > - \frac{11}{2}}}}}[/tex]
Step-by-step explanation:
The given inequality is, [tex]{ \green{ \sf{12(x + 3) > 4x - 8}}}[/tex]
[tex]{ \star}[/tex]Step 1: Simplify both the sides of inequality.
[tex]{ \green{ \sf{12x + 36 > 4x - 8}}}[/tex]
[tex]{ \star}[/tex]Step 2: Now Subtract 4x from both sides.
[tex]{ \purple{ \sf{12x+36−4x> { \cancel{4x}−8{ \cancel{−4x}}}}}}[/tex]
[tex]{ \purple{ \sf{8x+36>−8}}}[/tex]
[tex]{ \star}[/tex]Step 3: Subtract 36 from both sides.
[tex]{ \blue{ \sf{8x+{ \cancel{36}{ \cancel{−36}}}>−8−36}}}[/tex]
[tex]{ \blue{ \sf{8x>−44}}}[/tex]
[tex]{ \star}[/tex]Step 4: Divide both sides by 8.
[tex]{ \orange{ \sf{ \frac{ \cancel8}{ \cancel8} x > - \frac{ \cancel{44^{ \blue{ \tt{11}}}} }{ \cancel8_{ \blue{ \tt{2}}} }}}} [/tex]
[tex]{ \boxed{ \red{ \sf{x > - \frac{11}{2}}}}} [/tex]
i need help with this sorry I cant give much
Answers
Answer:
[tex]\frac{11}{20}[/tex]
Step-by-step explanation:
2[tex]\frac{3}{4}[/tex] ÷ 5
Convert mixed number fraction to improper fraction
[tex]\frac{11}{4}[/tex] ÷ 5
To divide fractions we turn the second fraction (the one you want to divide by) upside down (this is now called a reciprocal) and we multiply
[tex]\frac{11}{4}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{11}{20}[/tex]
If the sum of a number and seven is tripled, the result is eight times a number.
Answers
Step 1: Represent a with an unknown
Let a number be x
Step 2: Represent the given information with an equation
From the first statement, the sum of a number and seven is tripled can be represented with the equation below:
[tex](x+7)\times3[/tex]The second statement reflects that the result of the first statement is eight times a number. Eight times a number is
[tex]8\times x=8x[/tex]The result of the first statement and the second statement is
[tex](x+7)\times3=8x[/tex][tex]3x+21=8x[/tex]Step 3: Solve for the unknown
The solution of the unknown is as shown below:
[tex]\begin{gathered} 3x+21=8x \\ \text{collect like-terms} \\ 21=8x-3x \\ 21=5x \\ \text{divide through by 5} \\ \frac{21}{5}=\frac{5x}{5} \\ \frac{21}{5}=x \end{gathered}[/tex][tex]\begin{gathered} \frac{21}{5}=x \\ x=\frac{21}{5} \\ \operatorname{Re}-\text{write as a mixed fraction} \\ x=4\frac{1}{5} \end{gathered}[/tex]Hence, the number is 4 1/5
what is the difference written in scientific notion?0.00067 - 2.3 * 10^-5
Answers
Answer:
[tex]6.47\times10^{-4}[/tex]Explanation:
To evaluate the difference:
[tex]0.00067-2.3\times10^{-5}[/tex]First, rewrite the expression in the form below:
[tex]=67\times10^{-5}-2.3\times10^{-5}[/tex]Next, factor out the powers of 10.
[tex]\begin{gathered} =10^{-5}(67-2.3) \\ =10^{-5}(64.7) \\ =64.7\times10^{-5} \\ =6.47\times10^1\times10^{-5} \\ =6.47\times10^1^{-5} \\ =6.47\times10^{-4} \end{gathered}[/tex]Thus, the difference written in scientific notation is:
[tex]6.47\times10^{-4}[/tex]Note: A number is in scientific notation if it is expressed as a product of a number (between 1 and 10) and a power of 10.
A triangle has 2 angles measuring 40 degrees and 50 degrees. What is the measure of the 3rd angle and classify the triangle.
Answers
A triangle has all three angles summing up to 180. If two of the sides measure 40 degrees and 50 degrees, then the third side measures as follows;
[tex]\begin{gathered} 40+50+A=180 \\ A=180-40-50 \\ A=90 \end{gathered}[/tex]The third angle, which is labelled as angle A measures 90 degrees, and that means the triangle is a "right angled triangle."
A. 2x-1+3x=0 B. 5x-1=0 How can we get Equation B from Equation A ?
Answers
By taking x as a common factor we get:
2x - 1 + 3x = 0
(2 + 3)*x - 1 = 0
5x - 1 = 0
How to get equation B from equation A?Let's start with equation A, it is:
2x - 1 + 3x = 0
If we group like terms, we will get:
(2x + 3x) - 1 = 0
Now we can take x as a common factor in the left term, so we get:
(2x + 3x) - 1 = 0
(2 + 3)*x - 1 = 0
Now we simplify the sum in the left term:
(2 + 3)*x - 1 = 0
5x - 1 = 0
This is equation B.
Learn more about common factors:
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PLEASE HELP!! Will mark brainliest!!
Answers
Answer:
-1, 0, 1, 2
Step-by-step explanation:
[tex]\sqrt{5-5} -1\\\sqrt{0} -1\\0-1\\-1[/tex]
[tex]\sqrt{6-5} -1\\\sqrt{1} -1\\1-1\\0[/tex]
[tex]\sqrt{9-5} -1\\\sqrt{4} -1\\2-1\\1[/tex]
[tex]\sqrt{14-5} -1\\\sqrt{9} -1\\3-1\\2[/tex]
Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. The sample of 2100 bacteria selected from this population reach the size of 2249 bacteria in two and a half hours. Find the hourly growth rate parameter.This is a continuous exponential growth model.Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
Answers
In this problem, we have a continuous exponential growth model
so
the equation is of the form
[tex]y=a(e)^{kt}[/tex]where
a is the initial value ------> a=2,100
y is the number of bacteria
x ----> number of hours
so
[tex]y=2,100(e)^{kt}[/tex]For x=2.5 hours, y=2,249 bacteria
substitute
[tex]2,249=2,100(e)^{(2.5k)}[/tex]solve for k
apply ln both sides
[tex]\ln (\frac{2,249}{2,100})=2.5k\cdot\ln (e)[/tex]k=0.0274
convert to percentage
k=2.74%The coordinates of rhombus abcd are a(-4,-2) b(-2,6) c(6,8) d(4,0). What is the area of the rhombus
Answers
First, graph the rhombus:
Area of a rhombus = Product of diagonals / 2
Find the length of the diagonals:
Distance between points:
[tex]\sqrt[\placeholder{⬚}]{(x2-x1)^2+(y2-y1)2^}[/tex]Diagonal AC
[tex]AC=\sqrt[\placeholder{⬚}]{(6-(-4))^2+(8-(-2))^2}[/tex]AC= 10√2
Diagonal BD
[tex]BD=\sqrt[\placeholder{⬚}]{(4-(-2))^2+(0-6)^{^2}}[/tex]BD=6√2
Area= AC x BD / 2
Area = [(10√2) x (6√2)]/2
Area = 60
Working alone, it takes Kristen 10.2 hours to harvest a field. Kayla can harvest the same field in 16.5 hours. Find how long it would take them if they worked together.
Answers
ANSWER:
13.35 hours
EXPLANATION:
Given:
Time Kristen takes to harvest = 10.2 hours
Time Kayla takes to harvest = 16. 5 hours
Let X represent the time it would take them to work together.
Here, to find the time it would take them if they worked together, let's find their mean time, using the formula below:
[tex]X\text{ = }\frac{Time\text{ taken by kristen + Time taken by Kayla}}{2}[/tex][tex]\begin{gathered} X\text{ = }\frac{10.2\text{ + 16.5}}{2} \\ \\ X\text{ = }\frac{26.7}{2} \\ \\ X\text{ = }13.35\text{ hours} \end{gathered}[/tex]It would take them 13.35 hours if they worked together.
HELP PLS Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answers
Answer: [tex]m=\frac{y2-y1}{x2-x1}[/tex]
Step-by-step explanation:
Choose two points and insert them for x and y.
(3,0) and (0,-4) will work
If you need extra help ask me, I'd be glad to help but i encourage you to try to solve it yourself
When using elimination, when should you add the equations, and when should you subtract the equations?
Answers
Answer:
In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.
You're very welcome my sir or ma'am
If the measures of two angles of a triangle are 96° and 29°, what is the measure of the third angle?
Answers
Answer: measure of the third angle is 55 degrees
Step-by-step explanation: the sum of all interior angles in a triangle is always 180 so, 96+29+x=180.
125+x=180
x=55
Please help i really need help please
Answers
Answer:
plane CGF and ABC
Step-by-step explanation: