Answers
Answer:
The value of x is 15.
Step-by-step explanation:
Given
PQRS is a parallelogram.
∠Q = (3x + 25)°
∠S = (5x - 5)°
To determine
The value of x = ?
We know that both pairs of opposite angles of a parallelogram are congruent.
As ∠Q and ∠S are opposite angles of a parallelogram. Therefore, ∠Q and ∠S are equal.
Thus,
∠Q = ∠S
substitute ∠Q = (3x + 25)° and ∠S = (5x - 5)° in the equation
(3x + 25)° = (5x - 5)°
subtract 25 from both sides
3x + 25 - 25 = 5x - 5 - 25
3x = 5x - 30
flip the equation
5x - 30 = 3x
add 30 to both sides
5x - 30 + 30 = 3x + 30
5x = 3x + 30
subtract 3x from both sides
5x - 3x = 3x + 30 - 3x
2x = 30
divide both sides by 2
2x/2 = 30/2
x = 15
Therefore, the value of x is 15.
Related Questions
The following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6, 5. (a) What is the point estimate of the population mean? 8.75 Incorrect: Your answer is incorrect. (b) What is the point estimate of the population standard deviation? (Round your answer to three decimal places.) (c) With 95% confidence, what is the margin of error for the estimation of the population mean? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the population mean? (Round your answer to one decimal place.) to
Answers
Answer:
10 ; 3.464 ; 2.4 ; (7.6, 12.4)
Step-by-step explanation:
Given the data :
10, 8, 12, 15, 13, 11, 6, 5
Point estimate of population mean :
m = ΣX / n
n = sample size = 8
(10+8+12+15+13+11+6+5) / 8
= 10
Point estimate of population standard deviation :
Sqrt(Σ(X - m)^2 / n-1)
((10-10)^2 + (8-10)^2 + (12-10)^2 + (15-10)^2 + (13 - 10)^2 + (11-10)^2 + (6-10)^2 + (5-10)^2) / 7
= sqrt(84/7)
= 3.464
Margin of error at 95%:
Zcritical * sqrt(sd²/n)
Zcritical at 95% = 1.96
1.96 * sqrt(3.464^2 / 8)
Margin of Error = 2.4
Confidence interval :
m ± Z(s/sqrt(n))
10 - 1.96(3.4634/sqrt(8)) = 7.6
10 - 1.96(3.4634/sqrt(8)) = 12.4
Xei uses a tip calculator to figure his tips, but he thinks it is not working accurately. The tip calculator says that a $7 tip is necessary for a $75 meal at a 15% tip rate. Is the calculator working correctly? How do you know?
Answers
Answer:
a $7 tip is too little
Step-by-step explanation:
Karen has completed 26 deliveries so far this week. She needs to make 40 deliveries for the week. What percentage of her deliveries has Karen completed?
Answers
Answer:
doop
Step-by-step explanation:
Answer:
65%
Step-by-step explanation:
40/100 = 26/x
40/100 = 2/5
2/5 = 26/x
cross multiply
2x = 130
divide by 2
x = 65
Emily and Miranda are standing outside. Emily is 5 feet tall and casts a shadow of 28 inches. Miranda's shadow is 29.4 inches long. Approximately how tall is Miranda?
Answers
Answer:
5.25ft
Step-by-step explanation:
i got the question right so thats it
Answer:
5 1/4
Step-by-step explanation:
5 1/4 to decimal form is 5.25
What is the name of the line passing through the vertex that divides
the parabola into two symmetric parts?
Answers
Answer:
symmetryStep-by-step explanation:
is the line that divides the parabola into two mirror imagesAnswer:
line of symmetry
Step-by-step explanation:
side length z =
angle d =
Answers
angle d=53
since they are similar triangles, angles should be the same, therefore,
d=53
if we consider the ration between the sides of the first triangle, its,
6:8:10 = 3:4:5 (when divided by the least common factor; 2)
by applying the same ratio for the second triangle, we can get,
15:20:25 (u can first divide both 15 and 25 by 5 and then multiply each term in 3:4:5 by 5)
therefore, z=20
A government study in 2020 estimated that 1 million Californians don’t have access to safe drinking water. If the population of California is 39.51 million, what percentage of the population don’t have access to safe water?
Answers
Answer:
2.53%
Step-by-step explanation:
all you have to do is 1 / 39.51 = about 0.0253 = 2.53%
solve the equation
PLZ I need a good grade
Answers
answer:
p = 6
1. pull out like factors
7p - 42 = 7 • (p - 6)
2. solve it
7=0
this equation can't be solved, therefore has no solution.
Please help me I’m not good with graphs
Answers
Answer:
I'm pretty sure it's 2 and 3
Good luck:)
Plz help me with the problem
Answers
Answer:Step-by-step explanation:
Just tell me the problem
100 Points help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
wait so you have t
Step-by-step explanation:
Answer:
I AGREE
Step-by-step explanation:
The diagram shows a piece of cheese in the shape of the triangular prism.Work out the area of the cling film needed to cover the cheese
Answers
Answer:
488.4 cm²
Step-by-step explanation:
Area of cling film needed = surface area of the triangular prism = 2(B.A) + P×H
Where,
B.A = triangular base area = ½*base*height
height = 10.5 cm
base = √(13.7² - 10.5²) = √77.44 = 8.8 cm
B.A = ½*8.8*10.5 = 46.2 cm²
P = perimeter of the triangular base = 10.5 + 13.7 + 8.8 = 33
H = height of prism = 12 cm
Surface area of triangular prism = 2(46.2) + 33*12
= 92.4 + 396
= 488.4 cm²
Explain the relationship between the following:
Radius & Diameter
Diameter & Circumference
- Radius & Circumference
Answers
Answer:
Step-by-step explanation:
isn't circumference the whole circle
and radius is the center from the outside
CH 7 Forces: pages 294 & 296
Calculate net forces. Draw an arrow to show direction. SC.6.P.13.3
Drag an arrow
to complete
your answer.
combined Forces
Net Force
Click to type
30 N
70 N
30 N
40 N
Click to type
60 N
60 N
Click to type
18 N 12 N
30N
Answers
awnser 1.100
awnser 2.-10
awnser 3.0
awnser 4.0
Help me out with the answer
Answers
Answer:
C i think
Step-by-step explanation:
(Extra Credit) Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 75% have an emergency locator, whereas 90% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. If it has an emergency locator, what is the probability that it will not be discovered?
Answers
Answer:
0.0323 = 3.23% probability that it will not be discovered
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Has emergency locator
Event B: Probability it will not be discovered.
Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered.
So 20% are not discovered, which means that [tex]P(B) = 0.2[/tex].
90% of the aircraft not discovered do not have such a locator.
So 10% of the aircraft discovered have the location, which means that [tex]P(A|B) = 0.1[/tex]
Probability of having the locator:
75% of 80%(Discovered).
10% of 20%(Not discovered). So
[tex]P(A) = 0.75*0.8 + 0.1*0.2 = 0.62[/tex]
If it has an emergency locator, what is the probability that it will not be discovered?
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.1}{0.62} = 0.0323[/tex]
0.0323 = 3.23% probability that it will not be discovered
apriquide Rd
.) Travis is planning to ride at a constant speed during an upcoming bike trip. He wants to know
how many miles he will ride after different numbers of hours.
c) Plot two points that show how far Travis
will ride after 3 hours and after 4 hours.
Answers
Answer:
3 times 30 miles and 4 times 40 miles
Step-by-step explanation:
Travis will ride at a distance of 30 miles after 3 hours and at a distance of 40 miles after 4 hours.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
Travis is planning to ride at a constant speed during an upcoming bike trip.
This implies that the slope of the graph will be a constant.
So the graph will be a straight line.
We have two points on the graph (1, 10) and (2, 20).
The starting point will be (0, 0).
Slope = (20 - 10) / (2 - 1) = 10
So the equation of the line is y = 10x.
When x = 3 hours, y = 30 miles
When x = 4 hours, y = 40 miles
Hence the points has to be marked at (3, 30) and (4, 40).
Learn more about Speed and Slope here :
https://brainly.com/question/13281781
#SPJ2
The complete question with the graph is given below.
Question need help very hard pls
Answers
Wassily Leontief (1906-1999) was a Russian-born, American economist who, aside from developing highly sophisticated economic theories, also enjoyed trout fishing, ballet and fine wines. He won the 1973 Nobel Prize in economics for his work in creating mathematical models to describe various economic phenomena. In the remainder of this lab we will look at a very simple special case of his work called a closed exchange model. Here is the premise: Suppose in a far-away land of Eigenbazistan, in a small country town called Matrixville, there lived a Farmer, a Tailor, a Carpenter, a Coal Miner and Slacker Bob. The Farmer produced food; the Tailor, clothes; the Carpenter, housing; the Coal Miner supplied energy; and Slacker Bob made High Quality 100 Proof Moonshine, half of which he drank himself. Let us make the following assumptions:
Everyone buys from and sells to the central pool (i.e. there is no outside supply and demand). Everything produced is consumed. For these reasons this is called a closed exchange model. Next we must specify what fraction of each of the goods is consumed by each person in our town. Here is a table containing this information:
Food Clothes Housing Energy High Quality 100 Proof Moonshine
Farmer 0.25 0.15 0.25 0.18 0.2
Tailor 0.15 0.28 0.18 0.17 0.05
Carpenter 0.22 0.19 0.22 0.22 0.1
Coal Miner 0.2 0.15 0.2 0.28 0.15
Slacker Bob 0.18 0.23 0.15 0.15 0.5
So for example, the Carpenter consumes 22% of all food, 19% of all clothes, 22% of all housing, 22% of all energy and 10% of all High Quality 100 Proof Moonshin. The columns in this table all add up to 1. Explain why this happens.
Answers
Answer:
The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed. There is no leftover.
When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.
Step-by-step explanation:
a) Data and Calculations:
Food Clothes Housing Energy High Quality 100
Proof Moonshine
Farmer 0.25 0.15 0.25 0.18 0.20
Tailor 0.15 0.28 0.18 0.17 0.05
Carpenter 0.22 0.19 0.22 0.22 0.10
Coal Miner 0.20 0.15 0.20 0.28 0.15
Slacker Bob 0.18 0.23 0.15 0.15 0.50
Total 1.00 1.00 1.00 1.00 1.00
Help on No. 4 plz..............
Answers
Answer:
12Step-by-step explanation:
to understand thisyou need to know about:similarityPEMDASgiven:scale factor:2:5SV:30TIPS AND FORMULAS:SV~QRlet's solve:according to the question
[tex]step - 1 : define[/tex]
[tex] \frac{2}{5} \times 30[/tex]
[tex]step - 2 : simplify[/tex]
[tex] \frac{60}{5} [/tex]
[tex] \huge 12[/tex]
PLEASE HELP! i have by the end of the day to turn this in. PLEASE DONT GUESS
Answers
Answer:
x = 101°
Step-by-step explanation:
the bottom left angle inside the triangle is supplementary to the angle which measures 148°, so the m∡ is 32°
47 + 32 + x = 180
79 + x = 180
x = 101°
FIND THE VALUE OF X! please help !
Answers
Answer:
yes, it's 20
Step-by-step explanation:
first you should find the area
graph y-2=-3(x-4). please help me
Answers
Y = 3 (-2 - 4)
Y = 6 + 12
Y= 18
a knife is three times the cost of a spoon. 9 spoons and 12 knives cost £82.80. Work out the cost of one knife.
Answers
Find the slope of a line perpendicular to y = -3/4x + 5. show your work.
Answers
Answer:
4/3
Step-by-step explanation:
All you have to do is find the reciprocal of the slope and switch to the opposite sign.
-3/4
flip
-4/3
switch
4/3
Sorry if this doesn't really make much sense. I don't know how else to explain this.
What is equivalent to 12/24
Answers
Answer:
1/2
0.5
2/4
3/6
4/8
50%...
Step-by-step explanation:
Help please I really need it
Answers
Answer:
angle 1 and angle 3
(6 1/2+2 2/5 )+ 2 1/2 using properties of addition
Answers
8 9/10 + 2 1/2
= 11 2/5
Exercise
Sophia's friend has saved $118 but is not sure how many songs she can afford if she buys the membership and
some songs. Use the expression in part (b) to write an equation that can be used to determine how many
songs Sophia's friend can buy
Answers
Answer:
Step-by-step explanation:
2. Use the figure below and angle relationships to
find the measure of each angle.
54°
1
2
Answers
Answer:
m<1 = 90°
m<2 = 36°
Step-by-step explanation:
✔️m<2 + 54° = 90° (complementary angles)
m<2 = 90° - 54° (subtraction property of equality)
m<2 = 36°
✔️m<1 = m<2 + 54° (supplementary angles)
m<1 = 36° + 54°
m<1 = 90°
