Answers
Answer:
y is 12 degrees
x is 30 degrees
Step-by-step explanation:
If angle ABC is equal to angle MNC, that means 5y equals to 60 degrees. 60 divided by 5 equals 12. So, y equals 12 degrees
2x and 4x equals 180 degrees. So, 180 divided by 6 equals to 30. So x equals 30 degrees
Answer:
x = 30, y = 12
Step-by-step explanation:
2 similar equilateral triangles, each corner is 60 degrees.
2x = 60 degrees
divide by 2
x = 30 degrees
5y = 60 degrees
divide by 5
y = 12 degrees
This can be verified by checking 4x + 2x which gives you 180 degrees forming that straight line angle.
Related Questions
The polygons are similar. Find the value of x.
PLEASE HELP
Answers
Answer:
x = 30
Step-by-step explanation:
[tex]\frac{x}{21} =\frac{20}{14}[/tex]
[tex]x=\frac{(21)(20)}{14}=\frac{420}{14} =30[/tex]
Hope this helps
A city council is considering funding a proposal to create a new city park. The council members will fund the proposal if they conclude that more than 60 percent of the city residents support the proposal. A survey of 2,000 randomly selected city residents will be conducted to investigate the level of support for the proposal. Let X represent the number of city residents in the sample who support the proposal. Assume that X is a binomial random variable.
A. Determine the mean and standard deviation of the random variable X, assuming that 60 percent of city residents support the proposal
B. Assume that 60 percent of city residents support the proposal. Use a normal approximation and the mean and standard deviation from part a to determine the values of k1 and k2 (the left and right boundaries of the middle .997 area)
C. The survey was conducted, and 1293 of the 2000 city residents supported the proposal. Do your answers in part b and the survey support the funding of the proposal? Justify your answer.
Answers
The mean and standard deviation of the random variable X if 60 percent of city residents support the proposal is 1200 and 21.9 respectively.
How to calculate the mean?From the information given, the mean of the binomial variable x will be:
= 2000 × 60%
= 2000 × 0.6
= 1200
The standard deviation will be:
= ✓n × ✓p(1 - p)
= ✓1200 × ✓0.4
= ✓480
= 21.9
Also, the mean and standard deviation to determine the values of k1 and k2 will be -3 and 3.
Lastly, the test statistic will be:
= (0.65 - 0.60)/(✓0.60 × (0.40) /2000
= 0.05/✓0.24/2000
= 0.05/0.011
= 4.55
The z value at 5% significance level is 1.64. This supports the funding of the proposal.
Learn more about mean on:
https://brainly.com/question/1136789
A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player has is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume g represents the number of goals and a represents the number of assists.
g + a = 24. g + 2 a = 42.
g + a = 24. 2 g + a = 42.
g + a = 42. g + 2 a = 24.
g + a = 42. 2 g + a = 24.
Answers
Answer:
g + a = 24. 2 g + a = 42.
Step-by-step explanation:
Each goal gets 2 points and each assist gets 1 point
If # of goals = g , and you get 2 points for each goal, then points acquired by goals can be represented by 2g
If # of assists = a, and you get 1 point for each assist, then points acquired by assists can be represented by a
The total # of points the player had was 42. This means that 2g + a = 42 (this is the first equation)
We are also told the player scored a total of 24 goals and assists. If g = # of goals and a = of assists, then g + a = 24 (this is the second equations)
So the two equations are g + a = 24. 2 g + a = 42.
Answer:
g + a = 24. 2 g + a = 42.
Step-by-step explanation
trust
2x - 5 = 3 what does X equal to?
Answers
your older sister tells you that you seem to be short for your age. in school, your teacher measured your height and that of your classmates to compute for your BMI. you teacher tells you that your height belongs to the 9th decile in the class. assuming you and your classmates have similar ages, would you agree with what your sister says? why?
Answers
Answer:
No.
Step-by-step explanation:
No, because the 9th decitile is equal to the 90th decitile, and so that means that you're tall.
What is the perimeter, rounded to the nearest tenth? 24.2 ft 28.3 ft 48.5 ft 56.8 ft
Answers
Answer:
48.5 ft
Step-by-step explanation:
A hotel is building a large new aquarium for their lobby. They know the length from the top corner to the opposite bottom corner is 13 feet long, the height is 12 feet and the length is 4 feet. Solve for the width and then determine the volume in cubic feet of water it will take to fill the aquarium
Answers
Answer:
3 ft, 144 ft³Step-by-step explanation:
Find the width as below
l² + w² + h² = d², where l- length, w- width, h- height, d- the distance between top and bottom cornersSubstitute the values and solve for w
4² + w² + 12² = 13²w² + 160 = 169w² = 9w = 3 feetNow find the volume
V = lwhV = 4*3*12 = 144 ft³Answer:
width = 3ft
volume = 144 ft³
Step-by-step explanation:
Pythagoras Theorem
[tex]\sf a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
The diagonal of the base of the aquarium, its height, and the length from the top corner to the opposite bottom corner forms a right triangle. As we know two of the lengths, we can use Pythagoras Theorem to calculate the unknown length (diagonal of base).
Given:
a = height of aquarium = 12 ftb = diagonal of basec = top corner to opposite corner = 13 ft[tex]\implies \sf 12^2+b^2=13^2[/tex]
[tex]\implies \sf b=\sqrt{13^2-12^2}[/tex]
[tex]\implies \sf b=5[/tex]
Now we know the length of the diagonal of the base, we can again use Pythagoras Theorem to find the width of the aquarium.
Given:
a = length of aquarium = 4 ftb = width of aquarium c = diagonal of base = 5 ft[tex]\sf \implies 4^2+b^2=5^2[/tex]
[tex]\sf \implies b=\sqrt{5^2-4^2}[/tex]
[tex]\sf \implies b=3[/tex]
Therefore, the width of the aquarium is 3 ft.
As the aquarium is modeled as a rectangular prism:
[tex]\begin{aligned}\textsf{Volume of a rectangular prism} & = \sf width \times length \times height\\ \implies \textsf{Volume of aquarium} & = \sf 3\:ft \times 4\:ft \times 12\:ft\\& = \sf 144 \:\:ft^3\end{aligned}[/tex]
i need to find volume of this triangular pyramid
Answers
Answer:
135 Cubic Inches
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
I need help with this
Answers
To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
So the mode is 5
Hope this helps :)
Use the line plot to answer the questions, and describe how you figured out the answer to each question. 80 POINTS IF ANSWERD AND GIVING BRAINLIEST
How many boxes did Lamar sell?
How many more boxes did John sell than Suzy?
How many more boxes would Lizzy have to sell to equal how many Mark sold?
Answers
X = 5 boxes
figure out the X for each person
Lizzy = 5 XLizzy sold: 5 * 5 = 25 boxes
Suzy = 1 XSuzy sold: 5 * 1 = 5 boxes
John = 3 XJohn sold: 5 * 3 = 15 boxes
Mark = 8 XMark sold: 5 * 8 = 40 boxes
Lamar = 4 XLamar sold: 5 * 4 = 20 boxes
→ How many boxes did Lamar sell?
Answer: 20 boxes
→ How many more boxes did John sell than Suzy?
Answer: 10 boxes
workout: 15 boxes - 5 boxes = 10 boxes more
→ How many more boxes would Lizzy have to sell to equal how many Mark sold?
Answer: 15 boxes
workout: 40 boxes - 25 boxes = 15 boxes more
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here we go ~
Each Cross (X) represents 5 boxes
Now, let's move on to questions :
1. How many boxes Lamar sell ~-) 4 Cross = 4 × 5 = 20 boxes
2. How many more boxes did John sell than Suzy ?-) (4× Cross) - (1 × cross)
-) (3 × 5) - (5)
-) 25 - 5 = 10more boxes than Suzy
How many more boxes would Lizzy have to sell to equal how many Mark sold ?-) (8 × Cross) - (5 × Cross)
-) (8 × 5) - (5 × 5)
-) 40 - 25
-) 15 more boxes to be sold to get equal to the number of boxes mark sold.
what is the greatest common factor of 15, 5, and 50
Answers
Answer:
Therefore, the GCF of 15 and 50 is 5.
Step-by-step explanation:
Solution:
The greatest number that divides 15 and 50 exactly is their greatest common factor, i.e. GCF of 15 and 50.
⇒ Factors of 15 and 50:
Factors of 15 = 1, 3, 5, 15
Factors of 50 = 1, 2, 5, 10, 25, 50
Therefore, the GCF of 15 and 50 is 5.
Which ordered pairs match the mapping diagram? O (1, 0), (7, 2), (3, 1), (-1, 1), (-7, -6) (0, 1), (2, 7), (3, 4), 4, 1), -6, 7) O(0, 1), (0, 4), (0, 7), (2, 7), (6, 7) (0 1), (2, 7), 3, 4), (4, 1), (6, 7)
Answers
Answer:
I've done this b4
(0, 1), (2, 7), (3, 4), (-4, 1) , (-6, 7)
Given the following construction, which of the following can you now create?
Select ALL that apply.
options:
square
equilateral triangle
rhombus
the midpoint of segment AB
perpendicular bisector of segment AB
Answers
square is the correct answer
marty's dog eats about 5 pounds of dog food every four days. what is the rate the dog eats his food in pounds per day?
Answers
Answer:
5/4 pounds
Step-by-step explanation:
Using unitary method:
4 days-------5 pounds
1 day---------5/4 pounds
Find the sum of the following series. Round to the nearest hundredth if
necessary
5 + 10 + 20 + ... + 163840
Sum of a finite geometric series:
ai
Sn
di — airon
1 - 1
Answers
Answer:
327675
Step-by-step explanation:
the formula of the series is:
16
∑5*2^(n-1)
n=1
the formula for the sum of a geometric series is:
Sn=a(1-r^n)/(1-r)
plug in the values from above
n=16 a=5 and r=2 (values from the geometric function) so
Sn=5(1-2^16)/(1-2)
Sn=327675
A large box of crackers away 20 Oz if James needs 3 pounds of crackers for a party how many boxes of crackers should he buy
Answers
Answer:
James will need to buy 3 boxes of crackers for the party.
Step-by-step explanation:
remember: 16oz=1 pound
If James needs 3 pounds of crackers, and each box is 20oz, that means each box is a little over 1 pound. (1.25 pounds to be exact). So, we know that he needs to buy 3 boxes of crackers. This is because 20×3=60 ounces which is 3.75 pounds. Meaning, 3 boxes is the correct answer since we can't cut a box in half.
5 STARS ON YOUR ACCOUNT!!! AND COMMENTS AND A THANK YOU
Answers
Answer:
OPTION B
Step-by-step explanation:
1 cm=0.75 m
I hope it helped you
PLEASE ANSWER THIS QUICKLY!
Consider the circle shown.
1. What is the length of the minor arc DE? (EXPRESS YOUR ANSWER AS A SIMPLIFIED FRACTION IN TERMS OF PI).
2. What is the length of the major arc DGE? (EXPRESS YOUR ANSWER AS A SIMPLIFIED FRACTION IN TERMS OF PI).
Answers
Answer:
minor arc DE: (23/9)π
Major arc DGE:(49/9)π
Step-by-step explanation:
This is a simple problem.
First solve the circumference of the circle: 2π (4).
then use the length formula
L=(x*c)/360
and then plug in, so first we use 115 as x(which is degrees) to find de
so
L = (115* 2π (4))/360
and you will get (23/9)π
To get the major arc you have to get the outside angle, so 360-115, and you do the same thing but with 245 as x.
Hope this helps and im correct!
2. How do you know if two ordered pairs lie along the same vertical line?
Their x-coordinates are the same.
The line always has the equation x = -2.
Their y-coordinates are the same.
The line always passes through the origin.
Answers
Answer:
1st option
Step-by-step explanation:
A verical line parallel to the y- axis has equation
x = c ( c is the value of the x- coordinates the line passes through )
thus the x- coordinates are the same
9. The value of U.S. postage stamps increases -5% per year. The current price is 55€. Estimate what the price will be in 20 years
Answers
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &\$0.55\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &20\\ \end{cases} \\\\\\ A=0.55(1 + 0.05)^{20}\implies A=0.55(1.05)^{20}\implies A\approx 1.46[/tex]
a rectangular shoebox has a volume of 160 cubic inches. the base of the shoebox measures 8 inches by 5 inches. how long is the shoebox?
Answers
8*5*d = 160
D= 160/40
D=4
Solve for x (literal equations):
c=b-bx show work
Answers
Answer:
x = [tex]\frac{b-c}{b}[/tex]
Step-by-step explanation:
c = b - bx ( add bx to both sides )
bx + c = b ( subtract c from both sides )
bx = b - c ( divide both sides by b )
x = [tex]\frac{b-c}{b}[/tex]
CAN SOMEONE HELP ME 50 POINTS
What are m∠1 and m∠2?
A. ∠1 = 30°, m∠2 = 35°
B. ∠1 = 35°, m∠2 = 30°
C. ∠1 = 65°, m∠2 = 60°
D. ∠1 = 85°, m∠2 = 80°
Answers
(2,132 x 10 -15 - (4,695 x 10 )
Answers
Answer:
25,645
________________________________________________________
SolveFirst, find 4,695 × 10
[tex]4,695 * 10 = 46,950[/tex]
Next, do 2,132 × 10
[tex]2,132 * 10 = 21,320[/tex]
Now, subtract by 15.
[tex]21,320 - 15 = 21,305[/tex]
Lastly, subtract by the product you found earlier.
[tex]46,950 - 21,305 = 25,645[/tex]
________________________________________________________
Questions?Ask in comments box.
You have 31 coins consisting of nickels and
dimes. The coins total $2.25. How many coins
are nickels? How many are dimes?
Answers
Answer:
There are 14 dimes and 17 nickels.
Step-by-step explanation:
Let x be number of nickels and let y be number of dimes.
Given that the total is $2.25 and there are 31 coins, we know that:
[tex]0.05x +0.10y = 2.25[/tex]
[tex]x+y = 31[/tex]
Solving for x yields:
[tex]x=31-y[/tex]
We then proceed by plugging that back into the previous equation:
[tex]0.05(31-y)+0.10y=2.25[/tex]
[tex]1.55 - 0.05y +0.10y = 2.25\\[/tex] --> Distribute
[tex]1.55 +0.05y=2.25[/tex] --> add y's together
[tex]0.05y=0.7[/tex] --> subtract 1.55
[tex]y=14[/tex] --> divide by 0.05
Therefore, x must equal 17, which means you have 14 dimes and 17 nickels.
it takes 3 eggs to make two dozen cookies. About what fraction of an egg are in two cookies
Answers
keeping in mind that two dozen cookies is just 24 cookies, then
[tex]\begin{array}{ccll} eggs&cookies\\ \cline{1-2} 3 & 24\\ x& 2 \end{array} \implies \cfrac{3}{x}=\cfrac{24}{2}\implies \cfrac{3}{x}=12\implies 3=12x \\\\\\ \cfrac{3}{12}=x\implies \cfrac{1}{4}=x[/tex]
.If Rashard wants to earn $300 interest in 2 years from an account that earns an annual simple
interest rate of 8%, how much must he invest initially?
Answers
Answer:
$ 1875
Step-by-step explanation:
Richard invests some amount P. He want the money he invested to gain an interest of $300.
A = P(1 + n×i)
A = P + 300
i = 0.08
n = 2
P + 300 = P(1 + 2×0.08)
P + 300 = P(1.16)
300 = 1.16P - P
300 = 0.16P
300/0.16 = 0.16P/0.16
P =300/0.16
P = $1875
Richard should invest $1875 if he wants an interest of $300 in 2 years.
what is point?
(in mathematics)
Answers
Step-by-step explanation:
a microscopic membrane of lipids and proteins which forms the external boundary of the cytoplasm of a cell or encloses a vacuole, and regulates the passage of molecules in and out of the cytoplasm
thx for ur poi.nts buddy
kese h.o aap
Are the triangles similar? If so, how do you know?
Answers
2x + y - 3z , x = 2/5 , y = 2/3 , z = 1/6 what does it equal
Answers
29/30
2x + y - 3z
2 x 2/5 + 2/3 - 3x1/6
4/5 + 2/3 - 3/6
x 3 x 5
12/15 + 10/15 - 3/6
22/15 - 3/6
x2. x5
44/30 - 15/30
= 29/30
Hope this helps!