Answers
Hey there!
This diagram shows two parallel lines (they will never intersect). This lines are crossed by another line called a transversal. This simple diagram can help us understand the nature of angles in our world.
The most important number to think about when it comes to this diagram is 180. A full circle is 360 degrees, and half of that is 180. Let's say that you are opening a shoe box. With the lid closed, there is no angle. If you open the lid straight up so that there is an L-shape, you have made a right angle, which is 90 degrees. If you open it so that it makes a line, you are now at 180 degrees. If you were to open the lid in a full circle, that would be 360 degrees, but the lid would probably break off!
We see that a straight line is a 180 degree angle. This means that 3y and the angle on the other side of the transversal right next to it (we'll call this angle A) should add up to equal 180 degrees. Angles that add up to equal 180 degrees are called supplementary angles. Looking again, we see that angle A and the 87 degree angle make up a straight line, so they are also supplementary. If 3y is supplementary with angle A and angle A is supplementary with 87, then 3y must be equal to 87. 3y and 87 are known as vertical angles because they are vertical of each other and meet at a point. Vertical angles are always congruent, so 3y is 87. We can just divide 87 by 3 to figure out what y is: 29.
There are also corresponding angles. These are angles that are the exact same but are in different places. For example, angle 87 is going to be the same thing as the supplementary angle to the bottom left of 3x because they are both to the left of the transversal and below the parallel line. Therefore, 3x is supplementary with 87. If you subtract 87 from 180, then you get 93. We divide by 3 to get x, giving us 31.
So, x=31 and y=29.
I hope that this helps! Have a wonderful day! :D
Related Questions
Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7?
Answers
Answer:
no
Step-by-step explanation:
here, f (x)=x^3 - 4x^2 + 3x + 7
when, factor is (x + 5)
x - a =x + 5
a = -5
Reminder= f (a)
= (-5)^3 - 4 (-5)^2 + 3×(-5) + 7
= -233
Since Reminder = -233 which is not 0 .
(x + 5) is not a factor of f (x)=x3-4x2+3x+7
What is the additive inverse of x-8. Pls help.
Answers
Answer:
[tex]8 - x[/tex]
Step-by-step explanation:
additive inverse means multiplying by -1
therefore :
[tex] - 1 \times (x - 8) \\ = - x + 8 \\ = 8 - x[/tex]
Samuel and Jill had 576 stamps in all. Samuel gave 1/7 of his stamps
to Jill. Then, Jill gave 1/4 of the total number of stamps she now had to
Samuel. In the end, both of them had the same number of stamps.
What was the difference in the number of stamps they each had at first?
Answers
Answer:
128
Step-by-step explanation:
Sam has X stamps.
Jill has (576-X) Stamps.
X-x/7 = 6x/7 = Sam's bal.
576-x + x/7 = 576 - 6x/7 = Jill's bal.
1/4(576-6x/7) = 144 - 6x/28
3/4(576-6x/7) = 432 - 9x/14 = Jill's new
bal.
6x/7 + 144-6x/28 = 144 + 24x/28-6x/28 =
144 + 9x/14 = Sam's new bal.
Jill's new bal = Sam's new bal
432 - 9x/14 = 144 + 9x/14
18x/14 = 144-432 = 288
18x = 4032
X = 224
576-X = 576-224 = 352.
Difference = 352 - 224= 128
What is the correct formula for the following Arithmetic Sequence?
-4, -1, 2, 5, 8,…
Group of answer choices
an = 4 – 3(n – 1)
an = 4 + 3(n – 1)
an = -4 – 3(n – 1)
an = -4 + 3(n – 1)
Answers
Answer:
Concept: Arithmetic Sequence & Series
Notice the change is +3 for the first iteration and then +3 for the second iteration and so on You must represent it a series.Hence it must work for any nth variable So we have -4+3(n-1) Rate positively and give brainlistThe solution is, the correct formula for the following Arithmetic Sequence: -4, -1, 2, 5, 8,…, is, an = -4 + 3(n – 1), the value of the n-th term.
We know that,
from Arithmetic Sequence & Series we get,
The nth term of AP : a_n = a + (n – 1) × d
where, a = first term
d = common difference,
Notice the change is +3 for the first iteration and then +3 for the second iteration and so on
i.e. here,
a = -4
d = +3
Hence it must work for any nth variable.
So we have -4+3(n-1)
Hence, we get, an = -4 + 3(n – 1).
To lean more on Arithmetic progression click:
brainly.com/question/28898589
#SPJ7
PLEASE I NEED HELP BAD!! LOOK AT THE PHOTO!! I GIVE POINTS!!
Answers
Answer:
The system of equations is given as:
x ≥ $500
y ≥ $800
x + y ≤ 1600
20x + 30y ≥ 2800
Step-by-step explanation:
From the question
We are told that
x = Number of $20 seats
y = Number of $30 seats
$20 seats = At least $500 (greater than or equal to)
$30 seats = At least $800 (greater than or equal to)
You are designing a social hall that would seat no more than 1600 people
No more than means less than or equal to ≤ 1600 people
x + y ≤ 1600 people
Total revenue generated = At least $2800. This means ≥ (greater than or equal to).
20x + 30y ≥ $2800
The system of equations is given as:
x ≥ $500
y ≥ $800
x + y ≤ 1600
20x + 30y ≥ 2800
Option C is the correct Option.
Which is the correct answer?
A. Function f is both even and odd
B. Function F is odd
C. Function f is neither even or odd
D. Function f is even
(Please explain your answer)
Answers
Answer:
B. Function F is odd
Step-by-step explanation:
If a function is odd, then -f(x) = f(-x), for all values of x.
For such function an origin symmetry is obtained just like the image uploaded.
Also, for such function, there is an equal distance between f(x) and f(-x), just like the image uploaded (d₁ = d₂).
Thus, the correct option is "B"
6
The formula for the volume of a cylinder is as follows, where V is the volume of the cylinder, r is the radius of the base, and l is the length of the cylinder.
V=\pi r^2lV=πr
2
l
Solve for l in terms of V and r then find the length of a cylinder that has a volume of 1256 cubic inches and whose base has a radius of 7 inches. Round your answer to the nearest tenth of an inch; use 3.14 for π.
Answers
Answer:
8.2 inStep-by-step explanation:
Volume formula:
V = πr²lSolving for l:
l = V/(πr²)Length of the given cylinder:
l = 1256/(π7²) = 1256/(3.14*49) = 8.2 in rounded8.2 in is the correct answer to the question
6
The formula for the volume of a cylinder is as follows, where V is the volume of the cylinder, r is the radius of the base, and l is the length of the cylinder.
V=\pi r^2lV=πr
2
select all the expressions that are equivalent to 15n - 10
Answers
Answer:
D
Step-by-step explanation:
hi i’m bad a math so if you could please solve this thx 5/6 - ( 1/8 * 3/4)
Answers
Answer:
71/96 = 0.73958
Step-by-step explanation:
The first one is the answer the second one is that in decimal form
Answer:
the answer is equals to
71/96
Hi guys how are you I am new to brainly I really need help please don’t wanna fail please help
Consider the equation 2(3x + 4) = ax + b
Part 1
Find one value for a and one value for b so that the equation has infinitely many solutions.
For the value of a you determined above what is the value for b so that the equation has infinitely many solutions
Support your answer. Explain your reasoning
Part 2
Find one value for a and one value for b so that the equation has no solution.
Find the value of a you determined above what is the value for b so that the equation has no solution.
Support your answer explain your reasoning.
Answers
Answer:
Let's solve for a.
2(3x+4)=ax+b
Step 1: Flip the equation.
ax+b=6x+8
Step 2: Add -b to both sides.
ax+b+−b=6x+8+−b
ax=−b+6x+8
Step 3: Divide both sides by x.
ax
x
=
−b+6x+8
x
a=
−b+6x+8
x
Step-by-step explanation:
7) Let the random variable X represent the amount of money Dan makes doing lawn care in a randomly selected week in the summerAssume that is Normal with mean $ 240 and standard deviation $60. the probability that in a randomly selected week, Dan will make less than $255 is :
A. 0.6
B. 0.7
C. 0.8
D.0.9
E. 1
Answers
Answer:
Option A. 0.6 is the right answer.
Step-by-step explanation:
Given information is:
Mean = $240
SD = $60
The probability of Dan making less than $255 has to be found.
Let x = 255
First of all, we will find the z-score of the given value
[tex]z = \frac{x-mean}{SD}\\z = \frac{255-240}{60}\\z = \frac{15}{60}\\z = 0.25[/tex]
Now the z-score table will be used to see the probability of less than 0.25
Using the z-score table, we get:
P(x<0.25) = 0.5987
As the answer choices are rounded off to one decimal place, we will round off our answer to one digit after the decimal point
0.5987 => 0.6
Hence,
Option A. 0.6 is the right answer.
What is an equation of the line that passes through the points (-6,-5) and (-4,-6)? Put your answer in fully redued form.
Answers
Answer:
y=-5/2x-16
Step-by-step explanation:
1. Find the slope using the slope formula and the two coordinates provided.
m=y2-y1/x2-x1
Put the y values from both coordinates on top and the x values on bottom.
-6--5/-4--6
Solve for M. -6--5/-4--6 = -6+1/-4+6
= -5/2
Slope is -5/2.
2. Using the slope and one of the coordinates (doesn't matter which), put the equation in point-slope form: y-y1=m(x-x1)
y+6=-5/2(x+4)
3. Distribute the -5/2 to x+4 and simplify (multiply x and 4 by -5/2)
y+6=-5/2x-10
Subtract 6 from both sides to get y by itself.
y=-5/2x-16
4. y=-5/2x-16 is your answer
I need help please someone help
Answers
(7x+25)+(3x+15)=180
x=14
Please help; with an explanation to these please
Answers
Answer:
Step-by-step explanation:
using supplementary angles we can fine that two angles of a straight line =180
128+?=180 ?=180-128=52
126+?=180 ?=180-126=54
all angles of a triangle add up to 180 degrees
180=52+54+?
94=?
180-94=x
106=x
(-8x + 2) + (-5x + 7)
Answers
Answer:
Step-by-step explanation:
(-8x + 2) + (-5x + 7)
-8x + 2 - 5x + 7
- 13x + 9
2 3/8 x 1/2 PLEASE ILL GIVE BRAINLIEST
Answers
Answer:
1 3/16
Step-by-step explanation:
Answer:
1.1875 or 1 3/16
Step-by-step explanation:
you just put it into a calculator
what is the sum of the fractions?
3/8+1/6
Answers
Sale
65% OFF!
What is the sale price of a grandfather clock originally priced at $120?
Answers
Answer:
the sale price is 42
Step-by-step explanation:
120-65% = 42
The population of a town is 2100 and increasing at a rate of 1.3% per year, while the number of cats in the town is currently 1000 and increasing at a rate of 8% per year. Assuming this trend continues, estimate when the cat population will exceed the human population in this town.
Answers
Answer:
when # cats exceeds 2,313
Step-by-step explanation:
if you graph y = .013x + 2100 and y = .08 + 1000 you will see the lines intersect when the town population is 16,418 and the number of cats equals 2,313.
16 out of 25 tables are wooden. What percent of the tables are wooden?
This is a question on homework i have
Answers
Answer:
64%
Step-by-step explanation:
16/25 will give you 64%
please give thanks by clicking heart button!
Answer:
64%
Step-by-step explanation:
Help me please thank you so much if you did
Answers
Answer:
I just answed this question today!Your asnwer is 144.
Step-by-step explanation:
1:5:3
48 total.
Divide 48 and get 16
Multiply 16 x1
Multiply 16 x5
Multiply 16x 3
16:80:48
sarah the cheetah ran 100 meters at a speed of 16.8 meters per second. an olympian ran the 100 meter dash in 9.6 seconds . how much faster was sarah the cheetah's speed.
Answers
Answer:
3.6477seconds
Step-by-step explanation:
Sarah the cheetah ran the 100 meters in 5.9523s. Subtract 5.9523 from 9.6
What’s the measure for x
Answers
What is the major difference between mutual funds and certificates of deposit? How are mutual funds and certificates of deposit alike? What is the major difference in bonds and treasury notes, and which would you prefer as an investor? How are bonds, treasury notes, mutual funds alike?
Answers
Answer:
Mutual funds differ from CDs in a multitude of ways. Mutual funds are diversified portfolios of stocks and bonds managed by a financial advisor or broker. They typically offer substantially higher returns than CDs, and while they are riskier than CDs, they are not considered high risk investments.
Can someone help me ASAP !?
Answers
Answer:
1/6
Step-by-step explanation:
2 is 1/6th of 12
5 is 1/6th of 30
Answer:
C.) 6
Step-by-step explanation:
I multiplied the number 2 by X and my sum was Y.
SOMEONE PLEASE HELP NOW ILL GIVE YOU A EAST 11 POINTS
What is the value of the expression 2106÷162?
Answers
Answer:
Hi
it will be 13
Pls help me find the answer!
Answers
Answer:
c) is the correct answer
Step-by-step explanation:
A researcher comparing the means of dependent samples consisting of 30 matched pairs and obtained a mean difference of 5 and a standard error of the mean difference of 2. The confidence interval for the mean difference was (1.6, 8.4). What confidence level was used in constructing the interval
Answers
Answer:
91.08%
Step-by-step explanation:
Confidence interval = (1.6, 8.4)
Sample size (n) = 30
Standard Error (E) = 2
Mean (m) = 5
The confidence interval is obtained using the relation :
Mean ± Zcritical * standard error
5 ± Zcritical * 2
5 - (Zcritical * 2) = 1.6
5 - 2Zcritical = 1.6
5 - 1.6 = 2Zcritical
3.4 = 2Zcritical
Zcritical = 3.4 / 2
Zcritical = 1.7
From Z probability calculator
P(Z < 1.7) = 0.044565
α = 1 - (0.044565 * 2) = 0.91087
0.91087 * 100% = 91.08% = 91%
Hence, confidence level = 91.08%
i hate school
AHHH im so depressed
;( im crying
omgggg i have a 59% in math
and a 78% in english
im gonna die
AHHHHHHHHHHHHHHHHH
Answers
Which number line best represents he solution to the inequality -18x +3 <48?
Answers
Answer: A
Step-by-step explanation:
Staar testtt