Answers
9514 1404 393
Answer:
Angles 4, 5, 6, 7, 8, 9 are 82°Angles 1, 2, 3, 10, 11, 12 are 98°Step-by-step explanation:
Angles are related in this geometry by being either congruent or supplementary. Corresponding and vertical angles are congruent; any linear pair of angles is supplementary.
The given angle 5 is on the southwest corner of the intersection of the parallel line with the transversal. All southwest and northeast angles are congruent to that. That is, angles 4, 5, 6, 7, 8, 9 will all have the same measure. The remaining angles will have the supplementary measure.
Angles 4, 5, 6, 7, 8, 9 are 82°
Angles 1, 2, 3, 10, 11, 12 are 98°
_____
As you know, supplementary angles total 180°, so each is found by subtracting the other from 180°: 180° -82° = 98°.
Related Questions
Consider the following sample data: 12, 13, 7, 5, 15, 18. Which one of the following represents the value of the standard deviation?
Answers
Answer:
Standard deviation= 4.46
B) 4.89 is the nearest answer
Step-by-step explanation:
Standard deviation √variance
Variance= (summation (x-mean)²)/n
Mean= summation of numbers/total
Mean =( 12+13+ 7+5+15 18)/6
Mean= 70/6
Mean= 11.67
Variance=(( 12-11.67)²+(13-11.67)²+ (7-11.67)²+(5-11.67)²+(15-11.67)²+ (18-11.67)²)/6
Variance= (0.1089+1.7689+21.8089+44.4889+11.0889+40.0689)/6
Variance= 119.3334/6
Variance= 19.8889
Standard deviation= √variance
Standard deviation= √19.8889
Standard deviation= 4.46
Jim buys a vase. The diameter of the vase is 14 cm. What is the circumference?
Answers
Step-by-step explanation:
To find circumfrence you use the equation:
[tex]C=2\pi r[/tex]
Since you were given the diameter so you divide by half to get the radius.
14/2 = 7
your radius is 7 and all you do is plug into the equation
[tex]C=2\pi 7[/tex]
C= 43.98 or 44 rounded
Answer:
To find circumfrence you use the equation:
Since you were given the diameter so you divide by half to get the radius.
14/2 = 7
your radius is 7 and all you do is plug into the equation
C= 43.98 or 44 rounded
Step-by-step explanation:
Brittany is giving her sister 2/5 of her shell collection . How many 1/15s of her shell collection is she giving her sister?
Answers
Answer:
Brittany is sharing number of [tex]\frac{1}{15}[/tex]s with her sister = 6
Step-by-step explanation:
Let the shell collection of Brittany = x
She is giving [tex]\frac{2}{5}[/tex] of her shell collection to her sister.
Therefore, shells received by her sister = [tex]\frac{2x}{5}[/tex]
[tex]\frac{1}{15}[/tex]th of her shell collection = [tex]\frac{x}{15}[/tex]
Number of [tex]\frac{1}{15}[/tex]s her sister received = [tex]\frac{\text{Total shells received by Brittany's sister}}{\frac{1}{15}th \text{part of Brittany's shells}}[/tex]
= [tex]\frac{\frac{2x}{5}}{\frac{x}{15} }[/tex]
= [tex]\frac{2x}{5}\times \frac{15}{x}[/tex]
= 6
Therefore, number of [tex]\frac{1}{15}[/tex] received by her sister = 6
Greg kicked the soccer ball 75 feet. How many yards did he kick the ball? Answer without units
Answers
Answer: I believe 25 yards.
Step-by-step explanation: Hope it helps! Have a great day!!!
A rectangular prism has the dimensions shown below.
3 cm
3 cm
12 cm
What is the volume of the rectangular prism?
Answers
Answer:
108 cubic cm
Step-by-step explanation:
Multiply 3, 3, and 12. Just multiply the dimensions of the cubes.
Factor completely 2x^2 + 9x + 7.
A) (2x + 7)(x + 1)
B) (2x + 1)(x + 7)
C) (2x + 9)(x + 2)
D) (2x + 7)(2x + 1)
Answers
Answer:
Step-by-step explanation:
(2x + 7)(x + 1)
answer is A
What is this fraction shown above?
Answers
Answer:
The Fraction show above is 2/8
Step-by-step explanation:
#Hope it helps
The International Space Station orbits 350 km above Earth’s surface. Earth’s radius is about 6314 km. Use the Pythagorean Theorem to find the distance from the space station to Earth’s horizon. Round your answer to the nearest kilometer. (Diagram is not to scale.)
Answers
Answer:
2131 km
Step-by-step explanation:
The Pythagorean theroeom states that a^2+b^2=c^2. We know that Earth's radius is 6314, so we know one of the shorter sides, (a). side c, the hypotenuse, is 6314 km plus 350 km. Plug it into the equation and then solve for b.
6314^2+b^2=6664^2
b^2=4542327
sqaure root each side and you have your answer!
You are playing a game called Tsunami Duck Pond. In Tsunami Duck Pond there are 100 ducks that get pummeled by tidal waves. You have to reach your hand into the tsunami and select a duck. If there is a star on the bottom of the duck, you win. The game claims to have 20 ducks with stars among the 100 ducks. After each round you must place the duck back in the tumultuous water. Let W=the number of times you win if you play this game 10 times.
a. Explain why Wis a binomial random variable.
b. Find the probability that you win exactly 3 times.
Answers
Answer:
a) W is a binomial random variable because in each trial there are only two possible outcomes, and the probability of a success is always the same.
b) 0.2013 = 20.13% probability that you win exactly 3 times.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
a. Explain why W is a binomial random variable.
For each time a duck is selected, there are only two possible outcomes. Either it has a star, or it does not. Also, after a duck is selected, it is placed back in the water which means that in each trial, the probability of finding a duck with star is the same. This is why W is a binomial random variable.
b. Find the probability that you win exactly 3 times.
Let W=the number of times you win if you play this game 10 times.
This means that [tex]n = 10[/tex]
The game claims to have 20 ducks with stars among the 100 ducks.
This means that [tex]p = \frac{20}{100} = 0.2[/tex]
We have to find P(X = 3). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013[/tex]
0.2013 = 20.13% probability that you win exactly 3 times.
W is a binomial random variable because in each trial there are only two possible outcomes, and the probability of a success is always the same.
There is 20.13% probability that you win exactly 3 times.
Given that,
In Tsunami Duck Pond there are 100 ducks that get pummeled by tidal waves.
The game claims to have 20 ducks with stars among the 100 ducks.
Let, W = the number of times you win if you play this game 10 times.
We have to determine,
Explain why W is a binomial random variable.
Find the probability that you win exactly 3 times.
According to the question,
A duck is selected, there are only two possible outcomes. Either it has a star, or it does not. Also, after a duck is selected, it is placed back in the water which means that in each trial, the probability of finding a duck with star is the same. This is why W is a binomial random variable.To find the probability that you win exactly 3 times.Let, W=the number of times you win if you play this game 10 times.
Therefore,
The game claims to have 20 ducks with stars among the 100 ducks.
Then, The probability that you win exactly 3 times is,
[tex]P(X =x) = \ ^nC_x \times P^{x} \times (1-p)^{n-x}[/tex]
When, x = 3 and n = 10
Therefore,
[tex]P(X =3) = \ ^{10}C_3 \times (0.2)^{3} \times (1-0.2)^{10-3}\\\\P(X =3) = \ ^{10}C_3 \times (0.2)^{3} \times (0.8)^{7}\\\\\\P(X =3) = \dfrac{10!}{7!. 3!} \times 0.008 \times 0.20\\\\P(X=3) = 0.2013 = 20.13 \ percent[/tex]
There is 20.13% probability that you win exactly 3 times.
To know more about Probability click the link given below.
https://brainly.com/question/23270039
solve x= √x+7 +5
check for extraneous solutions
(pls show work)
Answers
Answer:
x = 9
Step-by-step explanation:
Let's solve your equation step-by-step.
[tex]x=\sqrt{x+7} +5[/tex]
Step 1: Flip the equation.
[tex]\sqrt{x+7} +5=x[/tex]
Step 2: Add -5 to both sides.
[tex]\sqrt{x+7} +5-5=x-5[/tex]
Step 3: Solve Square Root.
[tex]\sqrt{x+7} =x-5[/tex]
[tex]{x+7} =(x-5)^2[/tex] (Square both sides)
[tex]x+7=x^2-10x+25[/tex]
[tex]-x^2+11x-18=0[/tex]
[tex](-x+2)(x-9)=0[/tex] (Factor left side of equation)
[tex]-x+2=0[/tex] or [tex]x-9=0[/tex] (Set factors equal to 0)
x = 2 or x = 9
x = 2 (Doesn't work on the original equation)
x = 9 (Works in the original equation)
Answer:
x = 9
Given:
x 25.
2
Choose the solution set.
{X Ix>
10
- }
7
O[xlx>
35
}
2
{x1x<
10
}
{X1x<
35
:]
2.
Answers
5 ^ 3 + 1/2 ^ 2.
I need help.
Answers
Answer:
125.25
Step-by-step explanation:
5 cube =125
1/2=0.5
0.5 squared =0.25
125+0.25=125.25
please help me! i’ll mark you as brainlist !
Answers
Answer:
6. No, they are not similar. The differences in the side angles are not the same for RS and MP. That relationship equals 1.3, but the other side lengths' relationships are equal to 1.25. Thus, due to the fact that the side lengths are not all equal to the same value, the triangles are not similar.
7. No, they are not similar. The angles are not the same for the two triangles. I know this due to how 48+77 is equal to 125. 180-125 is not equal to 66. Similarly, 48+66 is equal to 114, and 180-114 is not equal to 77.
Step-by-step explanation:
The Fabric storage box below is shaped like a rectangular prism how much fabric is needed to cover the exterior of the box
Answers
Answer:
2952 square centimeters are needed to cover the exterior of the box.
Step-by-step explanation:
We need to cover five external faces of the box. The surface area formula ([tex]A_{s}[/tex]), measured in square centimeters, is derived from surface area formula for parallelpiped:
[tex]A_{s} = w\cdot l + 2\cdot w\cdot h + 2\cdot l \cdot h[/tex] (1)
Where:
[tex]w[/tex] - Width, measured in centimeters.
[tex]l[/tex] - Length, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
If we know that [tex]w = 36\,cm[/tex], [tex]l = 23\,cm[/tex] and [tex]h = 18\,cm[/tex], then the outer surface area of the storage is:
[tex]A_{s} = (36\,cm)\cdot (23\,cm)+2\cdot (36\,cm)\cdot (18\,cm)+2\cdot (23\,cm)\cdot (18\,cm)[/tex]
[tex]A_{s} = 2952\,cm^{2}[/tex]
2952 square centimeters are needed to cover the exterior of the box.
Complete the following problems. Please show your work.
1. A freight train leaves the station traveling due north at a speed of 40 mph. One hour later, a passenger train leaves the same station traveling due north on a parallel track at a speed of 50 mph. How long will it take the passenger train to overtake the freight train?
2. The width of a soccer field recommended for players under 12 is 32 yards less than the length. The perimeter of the fields is 290 yards. Find the dimensions of the field.
3. Jeanette can be paid in one of two ways for painting a house. : Plan A; $100 plus $15 per hour; Plan B: $25 per hour. Suppose that a job takes n hours to complete. For what values of n is Plan is Plan A better for Jeanette?
Answers
Answer:
see explanation
Step-by-step explanation:
(1)
Using the relationship
distance (d) = speed (s) × time (t)
The freight train leaves the station 1 hour earlier than the passenger train, so
d = 40(t + 1) ← Freight train
d = 50t ← Passenger train
We require to find when they are at the same distance from the station, then equating the 2 equations
50t = 40(t + 1) ← distribute
50t = 40t + 40 ( subtract 40t from both sides )
10t = 40 ( divide both sides by 10 )
t = 4
The passenger train will overtake the freight train after 4 hours
-------------------------------------------------------------------------------------
(2)
let l represent length, then width = l - 32
perimeter (P) = 2l + 2w = 290, that is
2l + 2(l - 32) = 290 ← distribute and simplify left side
2l + 2l - 64 = 290
4l - 64 = 290 ( add 64 to both sides )
4l = 354 ( divide both sides by 4 )
l = 88.5 and w = 88.5 - 32 = 56.5
Then dimensions are 88.5 yards by 56.5 yards
----------------------------------------------------------------------------------
(3)
Plan A : 100 + 15n
Plan B : 25n
When is Plan A better than Plan B , that is
100 + 15n > 25n ( subtract 25n from both sides )
100 - 10n > 0 ( subtract 100 from both sides )
- 10n > - 100
Divide both sides by - 10, reversing the symbol as a result of dividing by a negative quantity.
n < 10
Plan A is better when number of hours (n) is less than 10
Answer:
3. Jeanette can be paid in one of two ways for painting a house. : Plan A; $100 plus $15 per hour; Plan B: $25 per hour. Suppose that a job takes n hours to complete. For what values of n is Plan is Plan A better for Jeanette?
Two publishers have offered Melanie Thompson a deal on her new
book Sugar-Free Culinary Classics. The first has offered to pay
her $82,000 up front and a $5.50 royalty for every book it
sells. The second has offered to pay $68,000 up front and a
$6.75 royalty for every book it sells. Over what range of book
sales will Melanie make more from the second publisher than she
will from the first?
Answers
Answer:
Step-by-step explanation:
68000+6.75b>82000+5.5b. subtract 5.5b from both sides
68000+1.25b>82000. subtract 68000 from both sides
1.25b>14000. divide both sides by 1.25
b>11200
So she must sell more than 11500 books to make more with second publisher.
If a card is randomly selected, what is the probability of drawing spade or club?
Answers
What multiply by 90 gives you 1.8
Answers
Answer:
0.02
Step-by-step explanation:
90 multiplied by 0.02 is 1.8
Which side lengths form a right triangle? Choose all answers that apply
Answers
Answer:
B.
Step-by-step explanation:
[tex] \sqrt{65} [/tex]
is about 8 and it passes the sum test
for a, the sum of 2,15 must be greater than 17 and its equal to so no
2. Tristan wants to go bowling. He wants to spend no more than $25. It costs $3.00 to rent shoes and $4.50 for each game. What is the greatest amount of games he can bowl? Write an inequality using the variable g for games and solve.
Answers
Answer:
[tex]3 + 4.50g \leq 25[/tex]
[tex]g\leq 4[/tex]
Step-by-step explanation:
25 - 3 is 22. 22 divided by 4.50 is a decimal. But it rounds down to 4. So the most amount of games Tristan can play is 4.
Hope it helps!
A water tank in the shape of a cylinder contains 54,000 gallons of water. 60% filled If the tank is only 60% filled, how many gallons of water can the tank hold? Enter the correct answer in the box.
Answers
Answer:
90000 gallons
Step-by-step explanation:
Given
[tex]Capacity\ at\ 60\% = 540000[/tex]
Required
Determine the full capacity
Let the maximum number of gallons be m.
So, we have:
[tex]60\% * m = 54000[/tex]
Convert % to decimal
[tex]0.60 * m = 54000[/tex]
Divide both sides by 0.60
[tex]m = \frac{54000}{0.60}[/tex]
[tex]m = 90000[/tex]
Hence, the maximum number of gallons it can hold is 90000 gallons
Answer:
Step-by-step explanation: capacity is 60% = 54000
Determine what is missing = 90000
Question 2
28 inches
3.5 feet
Write the following ratio in lowest terms.
Hint: 1 foot = 12 inches
Back
Next
It looks like 28inches
—————-
3.5 feet
Answers
3.5 feet = 1 1/15 meters
Please answer quick! I have a headache and I don't want to do the work.. Giving brainliest to the RIGHT ANSWER.
How many 1/8's are in 25?
Answers
Answer:
There are 200 1/8's in 25.
Step-by-step explanation:
If I am thinking of this correctly then there are 200. Basically, what how I interpreted this is that you mean 8 1/8's make up 1. and you need 25 whole 1's. If that is the case the correct answer is 200.
200 1/8. Hope this helps and feel better!
James drinks 2.4 litres of water in a day. Stephen drinks 1/3 more. How much water does Stephen drink? What is this in millilitres and litres?
Answers
2.4 x 1/3 = 0.8 liters more.
2.4 + 0.8 = 3.2 liters
Stephen drinks 3.2 liters which is 3,200 milliliters
Yvonne Simmons is a technical writer at ZAP Electronics with an annual salary of
$72,500. The board of directors at ZAP voted to give all employees a
cost-of-living adjustment of 1.5% and Simmons a merit increase of 4%. What will
Simmons's salary be for the upcoming year?
Answers
Answer:
$76,487.50
Step-by-step explanation:
What is the value of the underlined digit write your answer as a fraction pls help
Answers
Answer:
2/100
Step-by-step explanation:
a thousandth basically
Answer:
2 over 1000
Step-by-step explanation:
I need help please I’m struggling
Answers
Answer:
19%
Step-by-step explanation:
(3x^2 + 8x - 4 ) -(-x^2 +5x +2) simplify
Answers
Answer:
4x^2+3x-6
Step-by-step explanation:
Answer:
4x^2+3x-2
Step-by-step explanation:
I hope this helps
You are shopping for earrings. The sale tax is 5%. You have a total of $18.37 to spend. What is your price limit for the earrings?
(Please help me I'm failing:)
Answers
Answer:
$17.50
Step-by-step explanation:
$18.37=x+5%
18.37=1.05x
18.37/1.05=x
x=$17.50
simplify each radical
[tex] \sqrt{75x^{6} } [/tex]
Answers
Answer:
Step-by-step explanation:
[tex]\sqrt{75x^6}\\ \\ \sqrt{3(5^2)x^{3^2}}\\ \\ 5x^3\sqrt{3}[/tex]