Identify the pairs of alternate exterior angles in the given figure.
Question 14 options:
A)
∠3 and ∠6; ∠4 and ∠5
B)
∠2 and ∠7; ∠1 and ∠8
C)
∠3 and ∠5; ∠4 and ∠6
D)
∠1 and ∠7; ∠2 and ∠8
Answers
Answer: Choice D
Angle 1 and angle 7Angle 2 and angle 8=========================================================
Explanation:
The angles 3,4,5,6 are all considered interior angles because they are inside or between the parallel lines.
The remaining angles 1,2,7,8 are exterior angles as they outside the parallel lines. You can think of angles 3,4,5,6 being in the river or a road, while the other angles are on the sidewalk or the shoreline.
Alternating angles are ones that are on either side of the transversal cut.
Combining the two ideas leads to alternate exterior angles being outside the parallel lines and on either side of the transversal. This applies to the following pairs:
angle 1 and angle 7angle 2 and angle 8This is why choice D is the answer.
Related Questions
Which coordinate grid shows Point A at (0.25, −1.75)?
Answers
Answer:
Chart B
Step-by-step explanation:
you go out .25 on the x axis and down 1.75
Answer:
im pretty sure it's a
Step-by-step explanation:
im literally doing that question
If x=4 what is the perimeter of this figure?
11
8
16
24
Answers
The candy produced by a company has a sugar level that is normally distributed with a mean of 16.8 grams and a standard deviation of 0.7 grams. The company takes readings of every 10th bar off the production line. The reading points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 18.4. Is the process in control or out of control and why?
Answers
Answer:
It is not in control because at least two of the of the data points are more than 2 standard deviations from the mean are far apart.
18.3,18.4 > 18.2 Upper Control limit
14.9, > 15.4 Lower Control Limit
Step-by-step explanation:
Find the limits using μ ± 3σ and μ ± 2σ
Using μ ± 3σ
Upper Control Limit = μ + 3σ = 16.8 + 3(0.7)= 16.8 + 2.1= 18.9
Lower Control Limit = μ - 3σ =16.8 - 3(0.7)= 16.8 - 2.1= 14.7
Using μ ± 2σ
Upper Control Limit = μ + 2σ = 16.8 + 2(0.7)= 16.8 + 1.4= 18.2
Lower Control Limit = μ - 2σ =16.8 - 2(0.7)= 16.8 - 1.4= 15.4
The data points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 18.4.
Rearranging these data points 14.9, 16.1, 16.5, 17.3, 17.4, 18.3,18.4.
We see from the above that it is out of control because the values jump above and below the mean.
It is not in control as two of the of the data points are more than 2 standard deviations from the mean are far apart.
Which two estimates is the quotient 345÷8 between
Need help I need to do this right now!
Answers
Answer: Okay, well first lets find the quotient 345 ÷ 8:
It is 43. 125, but we're going to simplify it to 43
Now this is the really easy part, so lets find a number greater than 43, which would be 44.
Now that we have that, we need to find a decimal that's lower than 43, which would be 42.
So our numbers would be 44 and 42.
Step-by-step explanation:
Monica swam 4 laps in 15 minutes. At this rate, how many laps would she
swim in 45 minutes?
Answers
Answer:
so the answer would be 3
Step-by-step explanation:
Lets take a look she swam for 45 minutes if we do
add 15, 3 times we get 45
15 + 15 +15 = 45
We can also do 3 x 15 which also equals 45
so its 3
Patio sets consisting of couches, umbrellas, and a firepit table are sold at a local furniture store, A set with 2 couches, an umbrella and a table are sold for $1875. A set with one couch and a table are sold for $1075. A set with 2 couches and an umbrella are sold for $1275What is the price of the table?
Answers
Answer:
[tex]T = 600[/tex]
Step-by-step explanation:
Represent the table with T, couch with C an umbrella with U
We have the following:
[tex]2C + U + T = 1875[/tex]
[tex]C + T = 1075[/tex]
[tex]2C + U = 1275[/tex]
Required
Determine the cost of a table
Make T [tex]the\ subject\[/tex] [tex]in\ the[/tex] first equation
[tex]T = 1875 - (2C + U)[/tex]
In the third equation, we have that: [tex]2C + U = 1275[/tex]
By substituting 1275 for 2C + U
[tex]T = 1875 - (2C + U)[/tex] becomes
[tex]T = 1875 - 1275[/tex]
[tex]T = 600[/tex]
Hence, a table costs $600
need help once again!
Answers
Answer:
θ = cos-1 (38/47)
Step-by-step explanation:
sin θ = [tex]\frac{opposite}{hypotenuse} = \frac{27}{47}\\[/tex]
θ = sin-1 (27/47)
cos θ = [tex]\frac{adjacent}{hypotenuse} = \frac{38}{47}[/tex]
θ = cos-1 (38/47)
tan θ = [tex]\frac{opposite}{adjacent} = \frac{27}{38}[/tex]
θ = tan-1 (27/38)
For Christmas your boss gives you a $1,500 bonus. You were not expecting the money, so you decide you want to invest it. What kind of account be the best choice for you: Checking, Savings, Money Market or Certificate of Deposit? Explain your reason for your answer
Answers
Answer:
Savings
Step-by-step explanation:
I do my own banking that's why I know this
CAN SOMEONE PLEASE HELP ME I DONT UNDERSTAND THIS PLEASE HELP MEEE
Answers
??????????????????? I do not understand I do not understand I do not understand
ASAP Find the slope of The ordered pairs (0,-17),(2,13)
Answers
Answer:
m=15
Step-by-step explanation:
Answer:
1 5
Step-by-step explanation:
Oscar lends his brother $125.00 and charges him 5% interest. How much will Oscar's brother pay back for the loan?
Answers
Answer:
131.25 hope this helps
Step-by-step explanation:
use a calculator
The Valley High School student council is planning a dance. The
school has 480 students. The lowest possible ticket price is $3.00,
and they estimate that for every $0.20 increase in ticket price, 20 fewer
students will attend. What ticket price will maximize
the student council's profit?
SELECT ONE OPTION BELOW:
$4.20
$3.90
$3.50
$4.00
Answers
Answer:
$3.90
Step-by-step explanation:
its B
The price of the ticket at which the student councils will maximize the profit is $3.90.
Option B is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of students = 480
Lowest ticket price = $3
Ticket price = $4.20
This means,
4.20 - 3 = 1.20
There is an increase of $1.20 which is 0.20 x 6 = $1.20.
The number of students who attended when the ticket price is $4.20.
= 480 - (6 x 20)
= 480 - 120
= 360
Profit:
= 360 x 4.20
= $1512
Ticket price = $3.90
This means,
3.90 - 3 = 0.90
There is an increase of $0.90 which is 0.20 x 4.5 = $0.90.
The number of students who attended when the ticket price is $3.90.
= 480 - (4.5 x 20)
= 480 - 90
= 390
Profit:
= 390 x 3.90
= $1521
Now,
Ticket price = $3.50
This means,
3.50 - 3 = 0.50
There is an increase of $0.50 which is 0.20 x 2.5 = $0.50.
The number of students who attended when the ticket price is $3.50.
= 480 - (2.5 x 20)
= 480 - 50
= 430
Profit:
= 430 x 3.50
= $1505
Now,
Ticket price = $4.00
This means,
4 - 3 = 1
There is an increase of $1 which is 0.20 x 5 = $1.
The number of students who attended when the ticket price is $4.20.
= 480 - (5 x 20)
= 480 - 100
= 380
Profit:
= 380 x 4.20
= $1520
We see that,
The profit is highest when the ticket price is $3.90.
Thus,
$4 ticket price will maximize the student council's profit.
Learn more about expressions here:
https://brainly.com/question/3118662
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Math question................
Answers
sup lol dont know this
Answer:
m<2 =49 M<1 and M<3 =131
Step-by-step explanation:
angle 4 and 2 are coungruent. So M<4=M<2
angles 1 and 3 are congruent. so M<1=M<3
M<1 +M<4=180. so 180-M<4=m<1
180-49=131
Aye help me out here pleaseee
Answers
Click the photo to solve
Answers
Answer:
75
Step-by-step explanation:
the value of a triangle is 180 so you add 58 and 47 and you get 105 and the you do 180 - 105 and you get 75
The cost of a newspaper subscription includes a discounted initial week. Beatriz pays $55 for 7 weeks of the newspaper subscription and $100 for 12 weeks. What is the cost for the initial week of the newspaper subscription? *
Answers
Answer:
6
Step-by-step explanation:
PLS ANSWER BOTH for more points :)
Answers
Answer:
Number 16 is C and number 17 is D
Step-by-step explanation:
Can I get my points love these kind of questions
If you have a system of two equations with two unknowns and the two lines intersect on
the graph, the system has how many solutions?
Answers
If you have a system of two equations with two unknowns and the two lines intersect on the graph, the system has one solution which is the point of intersection.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
If you have a system of two equations with two unknowns and the two lines intersect on the graph, the system has one solution which is the point of intersection.
Find out more on equation at: https://brainly.com/question/2972832
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Answer: no solution
Step-by-step explanation:
you move up 5 units. you end at (3,5) where did u start ?
Answers
Answer:
(-2,5)
Step-by-step explanation:
Jesse is a pizza delivery driver. Each day his employer gives him $20 plus $0.50 for every pizza that he delivers.
Write an equation that can be used to determine how much Jesse earns each day if he delivers x pizzas.
Answers
Answer:
Concept: Algebraic Representation
You have a daily pay or a y-intercept of 20 Then you have a variable change such that 0.50 is earned for each additional pizza Hence the representation is y=0.50x+20X represents pizzas sold and y represents total payAnswer:
y=0.50x+20
X represents pizzas sold and y represents total pay
What is the answer to 8/10 x 5/2
Answers
Answer:
your answer is 2!
Step-by-step explanation:
you have to make it an improper fraction once you do you get 2!
brainliest please>
Answer:
2
Step-by-step explanation:
8/10 = 0.8
5/2 = 2.5
0.8 x 2.5 = 2
The position of a particle moving along the x-axis is given by a twice-differentiable function x(t). If x(2) < 0, x'(2) < 0, and x''(2) <0, which of the following statements must be true about the particle at time t=2?
a. The particle is moving toward the origin at a decreasing speed.
b. The particle is moving toward the origin at an increasing speed.
c. The particle is moving away from the origin at a decreasing speed.
d. The particle is moving away from the origin at an increasing speed.
e. The particle is moving away from the origin at a constant speed.
Answers
Answer:
c cuz differential of position is velocity, velocity is negative so moving away, differential of velocity is acceleration, negative acc is decreasing velocity
Name the decimal: -9.938
Select the correct answer below:
negative nine and nine hundred thirty-eight ten-thousandths
negative nine and nine hundred thirty-eight hundredths
negative nine and nine hundred thirty-eight tenths
negative nine and nine hundred thirty-eight thousandths
Answers
Answer:
Negative Nine and Nine Hundred Thirty-Eight Thousandths
Step-by-step explanation:
Answer: i believe its the last answer
Step-by-step explanation:
Because in decimals theres tens place, 100s place, 1000s place, etc. going from left to right after the decimal point which is the "and" in the statement. In this decimal theres only 3 numbers after the decimal point so that means to goes to the 1000s place.
Mr . Jack sold 13 pounds of grapes at his grape stand . The grapes sold for 2.28 per pound .
How much did mr . Jack receive for the grapes he sold ?
Answers
Answer:
$29.64
Step-by-step explanation:
Multiply the number of pounds by the unit price.
13 lb * $2.28/lb = $29.64
Marcus expects to earn about $10,000 in sales per month.
He can choose Salary A of $1,500 plus 5.5% of sales which will make him $2050 each month.
Salary B offers $2400 plus 3% of sales. How much does Salary B offer Marcus each month?
Which salary option should he choose: A or B?
Answers
Answer:
A
Step-by-step explanation:
5.5 x 2050 = 11,275
2 - 3x = -x - 8 Solve for X
Answers
Answer:
X=5
Step-by-step explanation:
(step 1) 2 - 3x = -x - 8
-3x + 2 = -x -8
(step 2)
-3x + 2 = -x - 8
-3 + 2 - 2 = -x -8 -2
(step 3)
-3x = -x- 10
(step 4)
-3 + x = -x -10 +x
(step 5)
-2x = -10
Answer
x = 5
Each cup costs $6 and each bowl costs $10.if you want to spend exactly $72,which equation in standard form models this situation.let c represent the number of cups you buy,and b represent the number of bowls you buy
Answers
Answer: 72=6c+10b
Step-by-step explanation:
2(x - 4) - 2 = 5x + 23
x= ?
Answers
Is this right?
I boxed my answer
I got
y = 0x + -4
Answers
Answer:
See the work below.
Step-by-step explanation:
First, find the slope.
y2-y1/x2-x1
-4--4/5-0 = 0/5
Slope is 0
Use point-slope form.
y-y1=m(x-x1)
y+4=0(0-0)
y+4=0+0
y=-4
please help! :) por favor ayuda please help with some of these
Answers
Answer:
-3x+10
Step-by-step explanation:
this is for 2
-3x+7+3
Collect like terms.
-3x+(7+3)
Simplify.
-3x+10