In the figure, lines a and b are parallel. Which statements are true? Select each correct answer. Responses m∠2=m∠1 measure of angle 2 equals measure of angle 1 m∠3=m∠1 measure of angle 3 equals measure of angle 1 m∠1=75° measure of angle 1 equals 75 degrees m∠2=105° measure of angle 2 equals 105 degrees
Answers
The correct statements from the line are given as follows:
m∠2=m∠1m∠1=75°What are corresponding angles?When two parallel lines are cut by a transversal, corresponding angles are pairs of angles that are in the same position relative to the two parallel lines and also to the transversal.
Corresponding angles are congruent, which means that they have the same angle measure.
Two corresponding angles for this problem are given as follows:
<2 and <1.
Hence:
m < 2 = m < 1.
Angles 1 and 105º form a linear pair, meaning that they are supplementary, hence the measure of angle 1 is given as follows:
m < 1 + 105º = 180º.
m < 1 = 75º.
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Related Questions
11) A fitness center charges $5per visit, plus an additional monthly fee of $15.
If Rick visits the gym 15 times in a month, how much would it cost him?
If you can do both that would be great
Answers
Answer:
$90
Step-by-step explanation:
15 × 5 = 75
75 + 15 = 90
$90
Answer:
It would cost Rick $90, if he visted the Gym 15 times in a month.
Step-by-step explanation:
15 x 5 =75
75 + 15 =90
The ratio of girls to boys in a boarding school is 2:7,if there are 1251 student in the school, how many of the student are girls
Answers
278 students are girls in this case.
1. Verizon Wireless would like to estimate the proportion of households that use cell phones for their phone service without a land line. A random sample of 150 households was selected and 48 relied strictly on cell phones for their service. Based on the sample, construct a 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone service.
Answers
Answer:
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A random sample of 150 households was selected and 48 relied strictly on cell phones for their service.
This means that [tex]n = 150, \pi = \frac{48}{150} = 0.32[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.2453[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.3947[/tex]
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
Need the answer to x and y !
Answers
x = 2 y = 7
Step-by-step explanation:
the explan at the pic
32 ÷ 24 plese help me
Answers
Answer: 1.333
Step-by-step explanation:
Answer:
1.33
Step-by-step explanation:
nothing much to explain
PLEASE HELP QUICK I NEED IT TO PASS. PLEASE SHOW STEPS, AND DON'T SPAM LINK PLEASE HELP. I NEED SOME HELP
Answers
Answer:
c=a2+b2=62+42≈7.2111
don't know if this is what
you are looking for but...
Which of the following equations have a solution of y = 8
Answers
Answer:
B
Step-by-step explanation:
Plug in 8 for y in each equation to see if it's true
6+5(8)=46
6+40=46 ✔️
PLZZZ HELP!!! ASAP
Will mark brainiest :)))
Answers
Answer:
Step-by-step explanation: i wont tell you the answer but ill thell you how to do it,soo the strat is to count where the line is as a different part then u just add em
this is only the explanation how to do it with you want the answer ask in the comment section
Step-by-step explanation:
Answer:
4. 1230
Step-by-step explanation:
A rectangle has parallel sides, so we know two sides are 30. 30+30=60. We subtract 142-60=82. Then we divide by two: 82/2=41. Then you know that both sides are 41 and 30. Multiply, and you get 1230.
Long before iPhones that hold thousands of songs and play
them with superb audio quality, individual songs were
delivered on 75-rpm and 45-rpm circular records. A 45-
rpm record has an angular speed of 45 revolutions per
minute. Find the linear speed, in inches per minute, at the
point where the needle is 1.5 inches from the record's
center.
Answers
Answer:
Do you mean an MP3 player?
Step-by-step explanation:
You want to buy a pet rabbit that costs $49. You already have $18 and you plan to save $9 per week. If w represents the number of weeks until you have enough money to buy the rabbit, what equation could you use to find the value of w? Use pencil and paper. Explain how you could set up an equation to find the amount of money you should save each week if you want to buy the rabbit in six weeks.
Answers
18 + 9x = 49
with the use of an equation you can easily find out if 6 weeks of saving up is enough to get the rabbit.
18 + 9(6) [tex]\neq[/tex] 49
9 x 6 = 54
54 + 18 = 72
you could have enough money in 4 weeks
What is the value of z? Refer to the attached image. Show work pls :)
Answers
Explanation: so a triangle will always equal 180 add 104 19 and 22 and then subtract that by 180 and you get 35 hope this helps if not reply to my comment and I’ll help
Explanation: First find X. All angles of a triangle adds up to 180°. To find x, add up all sides and set it equal to 180. 22+104+x=180. Solve for x. x = 54
A straight Line is 180°. Use x to find y. x+y = 180. Substitute x. 54+y=180 y = 126
To find z, find y + 19 +z = 180. Substitute y. 126+19+z=180. Solve for z. z = 35
Find the area of the triangle. around intermediate values to the nearest tenth. Use rounded values to calculate the next value. Found your final answer to the nearest tenth
Answers
The area of the triangle is 97.07 units².
Given is a triangle we need to find the area,
So, let the triangle be ABC and the altitude be AD.
Using the trigonometric ratios,
Sin 52° = AB / AD
Sin 52° = 9 / AD
AD = 9 / Sin 52°
AD = 11.42
Now,
Tan 26° = DC / AD
Tan 26° = DC / 11.42
DC = 5.56
Also,
Cos 26° = AD / AC
Cos 26° = 11.42 / AC
AC = 12.7
BC = 11.42 + 5.56
BC ≈ 17
Now, the sides are BC = 17, AC = 12.7 and AB = 9,
The area of the triangle = 1/2 x BC x AD = 1/2 x 17 x 11.42
= 5.71 x 17
= 97.07
Hence the area of the triangle is 97.07 units².
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the length of a rectangle is 3 ft less than twice the width and the area of the rectangle is 65 ft squared find the dimensions.
Answers
The dimension of the rectangle is 10 by 6.5
How to determine the dimensions?The given parameters are:
Length, (L) = 2W - 3
Area = 65
The area of a rectangle is:
A = LW
So, we have:
LW = 65
Substitute L =2W - 3
(2W - 3)W = 65
Expand
2W^2 - 3W = 65
Rewrite as:
2W^2 - 3W - 65 = 0
Using a graphing calculator, we have:
W = 6.5
Substitute W = 6.5 in L =2W - 3
L =2 * 6.5 - 3
Evaluate
L =10
Hence, the dimension of the rectangle is 10 by 6.5
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I need help with this. So, please help!! You shall receive 40 points.
Answers
Answer:
p=6/5
Step-by-step explanation:
p=6/5 or 1.2 or (1 and 1/5)
Steps
Switch sides of equation
Divide both sides by 5
Simplify
Add 2 to both sides
To take an extra step if the question is asking for anything specific then the *mixed number form* is 1 1/5.
I NEED HELP ASAP PLEASE
Answers
2(4x6)= 48
2(6x10)= 120
2(4x10)= 80
48+120+80= 248!:)
Solve for all values of x:
(x-3)2 = 16
• A X=-7,4
B. X= 4,1
I C. X= 7,11
D. X= 7,-1
Answers
Answer:
X= 6/D
Step-by-step explanation:
i did the math
Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000. What was the return on his $675,000 investment? (Negative amount should be indicated by a minus sign. Enter your answer as a percent rounded to 2 decimal places.)
Answers
The return on his $675,000 investment is 3.57%.
Given that, Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000.
We need to find the what was the return on his $675,000 investment.
What is the return on investment?Return on investment or return on costs is a ratio between net income and investment.
Now, return=700,000-675,000=$25000
Return in percentage=25000/700000×100=3.571%
=3.57%
Therefore, the return on his $675,000 investment is 3.57%.
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A graph of f(x)=10x^2-11x-6 is shown on the coordinate grid.
What are the zeros of f(x)?
-2/5 and 3/2
-6
-9 and 4
11/20 and -9
Answers
Answer:
-2/5 and 3/2
Step-by-step explanation:
f(x)=10x²-11x-6
0=10x²-11x-6
(5x+2)(2x-3)=0
5x+2=0, 2x-3=0
5x=-2, 2x=3
x=-2/5, x=3/2
Leo made the following container to store his camping gear. This container is the shape of a rectangular prism. It has material covering the outside of all six sides.
Answers
Answer:
I know this is probably late but the answer is 52 ft
Step-by-step explanation:
I did the Unit Test
A triangle has side lengths of 6,9, and 17. Is this possible or impossible
Answers
Answer:
impossible
Step-by-step explanation:
the formula for triangle sides is a^2 + b^2 = c^2
and these numbers dont equal that
A set of 10 cards consists of five red cards and five black cards. The cards are shuffled thoroughly, and I choose one at random, observe its color, and replace it in the set. The cards are thoroughly reshuffled, and I again choose a card at random, observe its color, and replace it in the set. This is done a total of four times. Let X be the number of red cards observed in these four trials. The mean of X is:
Answers
Answer:
The mean of X is 2
Step-by-step explanation:
Given the data in the question;
set of 10 cards consist of 5 red card and 5 blacks
cards are chosen, replaced and shuffled four times;
number of independent trials n = 4
now, since its is replaced, the probability of getting a red card in each trial will be;
p = 5/10 = 0.5
let X rep the number of red cards observed in the four trials.
the random variable follows binomial distribution where
n = 4 and p = 0.5
so
E(X) = ∑xP( X = x )
E(X) = np
we substitute
E(X) = 4 × 0.5
E(X) = 2
Therefore, The mean of X is 2
Factor the expression
10x + 25
A. 2(5x + 10)
B. 5(2x + 5)
C. 10(x + 5)
D. 5(2x + 25)
Answers
Step-by-step explanation:
The correct answer is ''B. 5(2x + 5)''
The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below:
Step 1: 3(3y − 8) = 10 + 3y
Step 2: 6y − 5 = 10 + 3y
Step 3: 3y − 5 = 10
Step 4: 3y = 15
Step 5: y = 5
In which step did the student first make an error and what is the correct step?
Step 2: 9y − 24 = 10 + 3y
Step 2: 6y + 11 = 10 + 4y
Step 3: 6y − 8 = 3(6 + y)
Step 3: 3(3y − 8) = 7 + y
Answers
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 140°, what is the
measure of ZQRS?
MZQRS = [?]
Answers
Answer:
m<QRS = 40
Step-by-step explanation:
180 - 140 = 40
The measure of angle m∠QRS which is supplementary to m∠ABC is determined as 40⁰.
What is a supplementary angle?A supplementary angle is a pair of angles that add up to 180 degrees.
That is to say, if we have two angles and their measures sum up to 180 degrees, then they are supplementary angles. Each angle in a supplementary pair is called the "supplement" of the other angle.
The measure of angle QRS is calculated by applying the following formula as follows;
m∠QRS + m∠ABC = 180 (supplementary angles add up to 180)
m∠QRS + 140 = 180
m∠QRS = 180 - 140
m∠QRS = 40⁰
Thus, the measure of angle m∠QRS which is supplementary to m∠ABC is determined as 40⁰.
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What is the answer for this is it a B C or D
Answers
Answer:
AB and CD are parallel lines.
hence answer is D
Good day mate
What is the constant?
Answers
Hopefully this is correct
Naming with the vertex only won't work when there are multiple angles with the same vertex. True or False?
Answers
Extra characters
There are 16 ounces in 1 pound. Juan is mailing a package that weights 10 pounds. He wants to know the weight of the package in ounces.
Complete the sentence.''
Answers
Answer:
160 ounces
Step-by-step explanation:
Easy mental math.
16oz × 10 pounds = 160 oz
please learn your school work. I know it's boring, but this is actually stuff you'll use in the real world. this is simple 4th-6th grade work. :)
Cell phone Plan A costs$70 per month and comes with a free$500 phone. Cell phone Plan Bcosts$50 per month but does not come with a phone. If you buy the$500 phone and choose Plan B, how many months is ituntil your cost is the same as Plan A's?
Answers
Answer:
7.8 months but you can round it to 8 months
Step-by-step explanation:
I need help understanding this, I don't mind if you just give me the answer but just tell me, please.
Answers
Answer:
73.50
Step-by-step explanation:
Answer:
67.5
Step-by-step explanation:
his earnings increase in a linear way so we can express it as linear equation;
y = ax+ b ,
a is the slope in this case it is 7.5$ for every hour
b is the initial value, in this case 0
y = 7.5x
we will write 9 insted of x to find the amount of money when working for 9 hours;
y = 7.5 x 9 = 67.5