Answers
Essentially, what we're looking at here are two alternate interior angles.
Wait. What? Alternate interior angles?
It sounds like some super fancy math jargon, but it's a fairly simple concept that I'll try my best to explain. First, let's look at lines L and M as two parallel lines, meaning that these two are lines with equal slopes, and will never intersect. See that line that goes in between the parallel lines L and M? That's called a transversal. It's basically a line that goes through two parallel lines.
Now we know that there's a transversal going through the parallel lines. So what? Well, there's a couple of special attributes to transversals. See the two angles, 7x-7 and 4x+14? As you can tell, these two angles alternate in the interior space between the transversal and the parallel lines.
Alternate interior angles are equal. There's a way to prove that they're equal, but I won't bore you with the specifics since that's not what the question's asking.
If the angles need to be equal for lines L and M to be parallel, we can make an equation that'll solve for x:
7x - 7 = 4x + 14
Subtract 4x from both sides:
7x - 4 x - 7 = 4x - 4x + 14
3x - 7 = 14
Add 7 to both sides:
3x - 7 + 7 = 14 + 7
3x = 21
Divide both sides by 3 to completely isolate x:
[tex]\frac{3x}{3}[/tex] = [tex]\frac{21}{3}[/tex]
x = 7
And that's our answer! If you need me to explain anything any further, just ask!
- breezyツ
Related Questions
do exponential functions have a vertex?
Answers
Exponential functions do not have a vertex.
What is an exponential function?"Exponential function, as its name suggests, involves exponents. An exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
In mathematics, an exponential function is a function of form [tex]f(x) = a^{x}[/tex], where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0."
What is the vertex of a function?"The standard form of a quadratic equation is y = ax² + bx + c and the vertex form of the same is y = a (x - h)² + k. Here, the vertex form has a square in it. So to convert the standard to vertex form we need to complete the square."
We know that, the graph of an exponential function consists of a horizontal asymptote. However, there is no quadratic function available that consists of a horizontal asymptote.
Hence, exponential functions do not have a vertex.
Learn more about an exponential function here: https://brainly.com/question/14355665
#SPJ2
Ben and Leonidas are twins who are both in Hufflepuff. Ben is ready first,
so he leaves the common room and starts flying to class at an average
speed of 20 km per hour. Half an hour later, Leonidas leaves the common
room on his Firebolt 3000 sports broom and follows the same route,
traveling at an average speed of 70 km per hour. How many minutes will it
take Leonidas to catch up with Ben, starting from when Leonidas leaves
the house?
11 minutes
O 12 minutes
17 minutes
O 20 minutes
Answers
Answer:
17 minutes
Step-by-step explanation:
help please i’m confused
Answers
Answer:
7/10 pi (radians)
Step-by-step explanation:
The formula for sector area is (angle * r^2)/2
140pi = angle*r^2/2
multiply both sides by 2
280pi = angle * r^2
r = 20 cm (substitute)
280pi = angle * (20)^2
280pi = angle * 400
Divide both sides by 400
7/10 pi = angle
The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y. What is the measure of angle Y
Pls help me‼️‼️‼️‼️‼️
Answers
Y = ½(Z)
Step-by-step explanation:
X = Y = x°Z = 2YY = ½(Z)
Which of the following is an algebraic expression that represents the phrase X increased by 20
Answers
Answer:
The expression means that X+20
The three angles of a quadrilateral are 55,73,105 what is the fourth angle
Answers
Answer:
x = 127°
Step-by-step explanation:
Let A, B and C be the three angles of a quadrilateral such that they are 55, 73, 105 respectively.
We know that, the sum of angles of a quadrilateral is equal to 360°. Let fourth angle be x.
55+73+105+x = 360
233+x=360
x = 360-233
x = 127°
So, the fourth angle is equal to 127°.
someone help and PLEASE make sure it’s right plz
Answers
Answer:
So someone trolled me and deleted my answer. Don’t delete this please!! <3
Step-by-step explanation:
It is a right triangle because it has a 90º angle in it.
What is the solution of the system of equations?
{7/2x−1/2y=9/2
{3x−y=5
Enter your answer in the boxes.
Answers
The circumference of a circle is C centimeters. The diameter of the circle is 13 centimeters. Which expression best represents the value of π
Answers
Answer:
C6.5
Step-by-step explanation:
LOL B-)
Answer: Its C 6.5 I got it right on a test but not sure if its right for you but i think its B also like the other guy said
PLEASE HURRY THIS IS DUE IN 1 HOUR
Answers
Answer:
36
Step-by-step explanation:
Make a big square and a little one by cutting it. 6x5 is 30 and the small one is 3x2 which is 6....add then you get 36
5x – 3= 17
X=?
Find what x equals to.
Answers
Answer:
x=4
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
5x – 3= 17 add 3 to both sides
5x = 20 divide both sides by 5
x = 4
what can you conclude from the box-and-whisker plot?
Answers
Answer:
that it is a cat :')
Step-by-step explanation:
remember, whisker = cat
If Mrs. Allan's car uses 8 gallons of gas for a 224-mile trip, then, at that rate, how many gallons of gas would the car use for a 560-mile trip?
Answers
Answer:
20 gallons of gas
Step-by-step explanation:
Given that :
8 gallons of gas = 224 mile trip
Miles per gallon of Mrs. Allan's car :
Number of miles / gallons of gas
224 miles / 8 gallons
= 28 miles per gallon
Gallons of gas car will use for 560 miles
Number of miles / miles per gallon
560 miles / 28 miles per gallon
= 20 gallons of gas
HELP PLS ASAP PLS PLS DUE SOON
Answers
Answer:
blank 1: 63 degrees
heart if it helped!
34, 57, 58, 56, 21. Which measure of center best represents the data? Explain why you chose that measure of center.
Answers
Answer:
Median
Step-by-step explanation:
The measure of center that best represents the data is median because the data is ordinal, that is it is in ranks. The first is 21, the second is 34, third is 56, fourth is 57 and fifth is 58.
A international company has 26,700 employees in one country. If this represents 31.6% of the company's employees,how many employees does it have in total
Answers
Answer:
79762
Step-by-step explanation:
Total number of employees in one country=26,700
Let X= Total number of the company's employees in all countries
31.6% of ( Total number of the company's employees in all countries)=26,700
=[( 31.6/100) × X)] =26,700
Making X subject of the formula we have
X= [(26,700)/( 33.6/100)]
= [26800/0.336]
= 79762 ( approximately)
Hence, Total number of the company's employees in all countries is 79762
Kya earned $630 per week. If she worked for 30 hours, what is her hourly rate?
Answers
Answer:
$21 per hour
Step-by-step explanation:
To find this answer you do the equation:
630/30 = ?
This equals 21.
Therefore, her hourly rate is $21 per hour.
Answer:
n 1 week, she worked 30 hours. So, she earned $630 for 30 hours. The hourly rate is then 630 / 30 = 21.
someone please please help with this I would really appreciate it !
Answers
Answer:
I think this is how the response is meant to be, do you need workings to solve AB aswell?
_____X^2+10x+10_____
Answers
x^2+10x+21
help pleaseeeeeeeeeee i dont get it
Answers
Answer:
E=30H
Melissa earns $330 in 11 hours
Step-by-step explanation:
Answer:
Equation = 30h=E
Melissa's earnings for 11 hours : $363
If you need further explaination I'll be happy to help!!
~ PumpkinSpice1 ♥
Stacy has a spinner and a number cube after spinning and rolling the number cube she will add two number what is the probability that the sum of the numbers from the spinner and number cube will be 3 or 4
Answers
Complete question :
Stacy has a spinner (1 - 4) and a number cube (1 - 6) after spinning and rolling the number cube she will add two number what is the probability that the sum of the numbers from the spinner and number cube will be 3 or 4
Answer:
5 /24
Step-by-step explanation:
The sample space for the sun of the outcome of the spinner and rolled number cube ;
Sample space = total possible outcomes = 6 * 4 = 24
Required outcome = sum equals 3 or 4 = 5
P(obtaining a sum of 3 or 4) = required outcome / Total possible outcomes
P(obtaining a sum of 3 or 4) = 5 /24
Finding arc.. someone help me
Answers
Answer:
tyyfjkvtiu6gbygkj
Step-by-step explanation:
Answer:
1. answer 127 2 answer 64 3 answer 128 4 answer 42 hope this helped
Step-by-step explanation:
Please help meee! Math makes my brain hurt :(
Answers
The answer should be x=-2
Cuantas cifras se emplean para numerar las 48 paginas de una revista?
Answers
Answer:
Para hacer una revista de más de 16 páginas, se cotejan múltiples 'secciones' dobladas ... Entonces 16, 32, 48 páginas etc. ... usted con información técnica sobre números de página, encuadernación y cualquier otra impresión, correo o logística relacionada preguntas. ... El uso de este sitio está sujeto a los Términos y condiciones de uso de nuestro sitio web, que están disponibles aquí.
Step-by-step explanation:
-5(3x - 6 ) = -45
1) x = 2.6
2) x = -5
3) x = 5
4) x = -2.6
Answers
move 30 to the other side, making it negative
-15x=-45-30
-15x=-75
divide both sides by -15
x=5
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answers
the y intercept is -2
and the slope is 3/4
slope= change in y/change in x
Please answer this!!! No links !!!
Answers
HELP PLZ MARKING BRAINLIEST 10 POINTS DONT ANWSER UNLESS U KNOW!!
Answers
Answer:
Y=13/4x-1/4
Step-by-step explanation:
Good luck
Which recursive sequence would produce the sequence 8, 20, 44, ...?
Answers
Answer: Next number will be 92
Step-by-step explanation:
2×4=8
8×2+4=20
20×2+4=44
44×2+4=92
Can someone help me with this bell work, it is due at 2:15. It is attached!