Answers
Answer:
[tex]\angle\,A=72^o\\\angle\,B=108^o[/tex]
Step-by-step explanation:
Notice that buy construction of a parallelogram,the angles [tex]\angle \,A[/tex] and [tex]\angle \,C[/tex] must equal each other. Then, based on the info given, we can write the following equation:
[tex]3\,y+27^o=5\,y-3^o\\27^o+3^o=5\,y-3\,y\\30^o=2\,y\\y=15^o[/tex]
Then, angle [tex]\angle \,A[/tex] =[tex]5\,(15^o)-3^o=72^o[/tex] which is also equal to angle B
and since the addition of all internal angles of the parallelogram must equal [tex]360^o[/tex] , then:
[tex]B+D=360^o-72^o-72^o=216^o[/tex]
and therefore, since [tex]\angle \,B[/tex] and [tex]\angle \,D[/tex] must be equal, then:
[tex]\angle\,B=\frac{216^o}{2} =108^o[/tex]
Related Questions
2 Points
Two sides of an isosceles triangle have lengths of 2 and 12. What is the length of the third side?
Answers
Answer:
12
Step-by-step explanation:
An isosceles triangle are three sides of two sides being equal in lengths.
If that is the case, the two opposite slanting sides which are equal, must be longer. Invariably, the third side is 12.
The length of the third side of an isosceles triangle will be [tex]12[/tex] .
What is an isosceles triangle ?An isosceles triangle is the one which have two equal sides.
We have,
One side [tex]=2[/tex]
Second side [tex]=12[/tex]
So,
We know that,
In this condition,
Length of the third side should be [tex]12\ cm[/tex] Because if we take third side as [tex]2[/tex] cm then
The sum of two sides [tex]= 2+12= 14 cm[/tex]
So,
[tex]2 < 12 < 14[/tex]
Hence, we can say that the length of the third side of an isosceles triangle will be [tex]12[/tex] .
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If a vehicle travels 25x miles in 2 hours, what is the vehicle's average speed, in miles per hour.
Answers
Given that a vehicle travels 25 miles in 2 hours, determine the average speed of the vehicle in miles per hour.
Work:
In order to find the average mph of the vehicle, you have to divide the distance the vehicle travels in a certain period of time by that amount of time.
So, in this case, the vehicle traveled 25 miles in 2 hours, so you would divide 25 by 2.
25/2 = 12.5
That means, the vehicle is traveling at a speed of 12.5 mph.
Thus, the average speed of the vehicle is 12.5 miles per hour (mph).
Students in an introductory statistics course were asked the following questions as part of a class survey:(1) What is your gender, male or female?(2) On average, how many hours of sleep do you get per night?(3) What is your bedtime: 8pm-10pm, 10pm-12am, 12am-2am, later than 2am?(4) How many countries have you visited?(5) On a scale of 1 (very little) - 5 (a lot), how much do you dread this semester? Identify the variables in the survey. Classify each variable as numerical or categorical. For each numerical variable, identify whether it is continuous or discrete. For each categorical variable, identify whether it is nominal or ordinal.
Answers
Answers:
Gender = categorical, nominal variable
Sleep length = numerical, continuous
Bedtime = categorical, ordinal
Number of countries visited = numerical, discrete
Scale of dreading semester = categorical, ordinal
=========================
Explanation:
Gender is categorical because there are two categories or labels, male or female. It is nominal because we simply attach names to each label and we can't sort them or order them from highest to lowest. There is no ranking for gender.
Sleep length is numerical as it deals with numbers. I put continuous because someone could write 2.5 hours or 3.75 hours. If whole numbers are only allowed, then the variable would be discrete.
The bedtime portion is categorical as each time slot is a category. Like with the first part, they are simply labels. We can order them however from earliest to later on, which is why this variable is ordinal.
The number of countries visited is numeric as expected, and it's also discrete because we can't visit 0.1 of a country. By "visit", I mean step foot in any part of the country for any length of time. It does not mean you have to explore every square inch of the territory.
The last part is categorical and ordinal. The scale ranking is ordered for us from 1 to 5. Despite the fact we have numbers here, the data is not numerical as the numbers 1 through 5 represent labels of "very little" through "a lot".
write the coordinate point for the vertex of this parabola x=-1/8y^2
Answers
Answer:
(0,0)
Step-by-step explanation:
x = -⅛y²
The equation exchanges x and y, so this is a sideways parabola.
It opens to the left because the coefficient of y² is negative.
The vertex form of a sideways parabola with its vertex at (h, k) is:
x = a(y – k)² + h
Your equation is
x = -⅛(y - 0)² + 0
By comparing the two equations, we find that
h = 0; k = 0.
The vertex is at (0, 0).
The Figure shows your parabola with its vertex at (0,0).
Answer:
(0,0)
Step-by-step explanation:
Construct a perpendicular bisector to AB
Answers
Answer:
look below:
Step-by-step explanation:
Answer: See attachment - hopeful it helps -
I will update post once I get it back --
Step-by-step explanation: Kindly give me brainly :)
30.10
A bag contains 4 red marbles, 3 a bag contains 4 red marbles, 3blue marbles, and 7 green marbles. If a marble is randomly selected from the bag,
find the probability that a blue marble will be drawn
Answers
Answer:
4/21
Step-by-step explanation:
It should be a porpotion
By which angle must AB turn about point A in the clockwise direction so that it coincides with AE?
Answers
Answer:b
Step-by-step explanation:
AB should be rotated by 180° or 360°.
What is rotation?Rotation can be defined as the motion of an object around an axis. It is a type of transformation that includes every point of a figure and rotates it by a specific number of degrees around a given point in a particular direction.
So, according to the given figure, if rotate the line AB, 180° clockwise or 360° clockwise, it will lie on AE.
Hence, AB should be rotated by 180° or 360°.
Learn more about rotations, click;
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Plz help ASAP I WILL GIVE BRAINLIEST!!
Emily was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She then bought seventeen more.IF SHE STARTED WITH 46 STAMPS, how many does she have now?
A. 75
B. 40
C. 29
D. 63
Answers
Answer:
B. 40
Step-by-step explanation:
She starts with 46 and sells half of them
That leaves her with 23 stamps left.
She then buys 17 more, 23 + 17 is 40
Answer is B
Answer:
B. 40 stamps
Step-by-step explanation:
We know that she sold half of her stamps. She started with 46 stamps.
First, find 1/2 of 46.
Multiply 1/2 and 46, or divide 46 by 2.
1/2 *46= 23
46/2=23
She sold 23 stamps, and was left with 23 stamps.
Then, she bought 17 more. If she bought more, she added to the amount she already had.
Therefore, we can add 23 and 17.
23+17=40
She has 40 stamps now.
One sprinter has a stride of 120cm, another 75cm. How many steps do they each take if they run a 100m race?
Answers
Answer:
1m = 100 cm
First sprinter stride is 120 cm. Steps he will take
= 100/1.2 = 83 1/3 steps
Second sprinter takes a stride of 75 cm
= 100/0.75 = 133 1/3 steps
Help please! THANK YOU!
Answers
Answer:
4
Step-by-step explanation:
1-(-3)=4
rise is 4
Answer:
It is 4 units. You can count how many units the bottom (horizontally) of the blue triangle is to get the run.
simplify (2 sqrt5 -4)(3 sqrt5 +2)
Answers
Answer:
work is shown and pictured
Write an equation in point-slope form for each line (If possible please show work)
Answers
Answer: y-2=1/4(x-1)
Step-by-step explanation:
The formula for point-slope is y-y₁=m(x-x₁). Since we are given the slope m, we can fill that in. We are also given the point (x₁,y₁). We can also fill that in.
y-2=1/4(x-1)
Mary wants to paint her bedroom. Each wall takes 1/3 of a liter of paint. If she buys 2 liters ? point
of paint, how many walls can she paint? *
Answers
2 liters of paint / 1/3 liter per wall = 2 x 3/1 = 6/1 = 6 walls
-28=7(x-7) What does x=
Answers
Answer:
so x=3
Step-by-step explanation:
-28=7(x-7)
opening the brackets by multiplying
-28=7x-49
adding 49 on both sides
-28+49=7x-49+49
21=7x
dividing 7 on both sides
21/7=7x/7
x=3
i hope this will help you :)
Answer:
-28=7(x-7)
First expand the terms on the right side
That is
-28 = 7x - 49
Group like terms
7x = -28 + 49
7x = 21
Divide both sides by 7
7x/7 = 21 /7
x = 3
Hope this helps
A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated. What is the approximate probability that the code only contains odd numbers? 0.0005 0.00099 0.012 0.02381
Answers
Answer:
0.02381
Step-by-step explanation:
As we know that
We have 10 digits i.e 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 out of these 5 are odd digits 1, 3, 5, 7, 9.
A security alarm needs a code of four digits that includes only odd values
In the first position of the code is 1 digit from 5 odd digits.
In the second position of the code is 1 digit from 4 digits left.
In the third place it is 1 from 3 digits left
And the last fourth position is 1 from 2 odd digits left
Now we can generate 5: 4: 3: 2 = 120 distinct four-digit code only with odd different numbers in total.
Likewise we can count how much of different codes you can generated from all digits
In the first position of the code it is 1 digit from 10 digits,
In the second position of the code it is 1 digit from 9 digits left,
In the third place it is 8 digits left
And the last fourth position it is 7 digits left.
Now overall you can generate 10:9:8:7 = 5040 that contains different four-digit code by considering different digits.
So, the probability is
[tex]Pr=\dfrac{120}{5040}[/tex]
[tex]=\dfrac{1}{42}[/tex]
[tex]\approx 0.02381 .[/tex]
ANSWER:
D = 0.02381
Step-by-step explanation:
Just took the exam :)
but basically, math. (edg 2020)
help Find (f + g)(x)
f(x) = 6x2 + 3x + 1
g(x) = 2x2 - 9
Answers
[tex]\text{Solve:}\\\\(f + g)(x)\\\\6x^2+3x+1+2x^2-9\\\\8x^2+3x+1-9\\\\\boxed{8x^2+3x-8}[/tex]
When a discount of 25% is allowed on the marked price then the selling price will be
Rs 1425. If the marked price is 18 above the cost price, what percent will be gained or lost
plz help me
Answers
Answer:
11.5% loss
Step-by-step explanation:
Discount = 25%
SP= 1425
MP= CP+18%
Profit or loss% - ?
---------
SP= MP- 25%= MP*0.75= 1425
MP= 1425/0.75= 1900
MP= CP+18%= CP*1.18
CP= MP/1.18= 1900/1.18 ≈ 1610.17
SP< CP, so there is loss
Loss%= (1610.17- 1425)/1610.17*100%= 11.5%
897-113×2:2+113
A) 888
B) 987
C) 898
D) 1694
E) 897
Answers
Answer:
d it is what it is my man's
I NEED HELP PLEASE, THANKS! :)
Answers
Answer:
124
Step-by-step explanation:
First subtract 6 to both sides.
[tex]\sqrt[5]{249-2x} = 1[/tex]
Then take the 5th power of both sides to remove the radical.
[tex]249-2x=1^5[/tex]
Which is essentially:
-2x = 1 - 249
-2x = -248
Divide both sides by -2
x = 124
And there ya go :)
Answer:
x = 124
Step-by-step explanation:
[tex]6 + \sqrt[5]{249 - 2x} = 7 \\ \sqrt[5]{249 - 2x} = 7 - 6 \\ \sqrt[5]{249 - 2x} = 1 \\ {\sqrt[5]{249 - 2x} }^{5} = {1}^{5} [/tex]
[tex]249 - 2x = 1 \\ - 2x = 1 - 249 \\ - 2x = - 248 \\ \frac{ - 2x}{ - 2} = \frac{ - 248}{ - 2} [/tex]
[tex]x = 124[/tex]
Using the distance formula, find the distance between two points. (6, 0) (-5, 4)
Answers
Answer:
11.7046999
Step-by-step explanation:
using the distance formula (d=√(x₂ -x₁)² + (y₂-y₁)²), we can plug in the two points to find the distance between them:
d=√(6-(-5)² + (0-4)²
d=√(11)²+ (-4)²
d=√121+16
d=√137
d approximately equal to (≈) 11.7046999 or 11.7 or 11
After two weeks of hard work at Sweet Sundae Ice Cream Shop, Zack finally got his first paycheck! He deposited $120.00 into his savings account. Then, he put the remaining $56.74 in his checking account. Let p represent how much money Zack got paid. Which equation models the problem? p + 56.74 = 120.00 or p - 120.00 = 56.74 4) Solve this equation to find how much money Zack got paid.
Answers
Answer:
p - 120.00 = 56.74; p = $176.74.
Step-by-step explanation:
Out of the two equations, p - 120.00 = 56.74 would make the most sense. That is because it means that his paycheck minus the 120 that he deposited into savings is equal to the remaining balance.
We solve p - 120.00 = 56.74 by adding 120 to both sides.
p - 120 + 120 = 56.74 + 120
p = 176.74.
So, Zack got paid $176.74. That's a lot of money!
Hope this helps!
Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?
Distance formule: (x2 - x1)2 +(y2-y1)2
(x-1)2 + (y + 2)2= 25
(x + 2)2 + (y - 1)2=5
(x + 2)2+(y - 1)2 = 25
(X - 1)2 + (y + 2)2=5
Answers
Answer:
(x + 2)^2 + (y - 1)^2 = 25.
Step-by-step explanation:
The centre is at (-2, 1) so the equation is:
(x + 2)^2 + (y - 1)^2 = r^2 where r is the radius.
The radius is the distance from the centre to the point (-5, -3).
Using the distance formula:
r = √ [(-3- 1)^2 + (-5 - -2)^2]
and r^2 = (-3- 1)^2 + (-5 - -2)^2
= (-4)^2 + (-3)^2
= 16 + 9
= 25.
You want to know whether the students in your school enjoy the school lunch. You survey every student in your class. Is this survey biased or unbiased?
Answers
Answer:
biased
Step-by-step explanation:
on my quiz good luck
The survey is biased because a biased sample favors one or more segments of the population over others.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
We have:
You want to know whether the students in your school enjoy the school lunch.
As we know,
A biased sample favors one or more segments of the population over others, whereas an impartial sample gives everyone in the population an equal chance of being chosen.
The population is the collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it
Thus, the survey is biased because a biased sample favors one or more segments of the population over others.
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determine o valor dos termos desconhecidos nos triângulos abaixo:
HELPP
Answers
Answer:
Option (B)
Step-by-step explanation:
By using the property of a triangle → " Sum of interior angles of a triangle is 180°"
Therefore, (4x - 40) + (x + 20) + x = 180°
(4x + x) + (-40 + 20) = 180°
5x - 20 = 180
5x = 180 + 20
5x = 200
x = 40
Therefore, value of x will be 40.
Option (B) will be the correct option.
Please helppppp meeeeee it would mean the worlddddd
Answers
Answer:
x = 7.5
Step-by-step explanation:
Decide if Y=3x-9 and Y=4x-9 have many solutions, one solution, or no solutions.
Answers
Answer:
(0,-9)
Step-by-step explanation:
Well first we need to solve the rowing eqation by combining like terms and separating x.
[tex]3x - 9 = 4x - 9[/tex]
So let’s do -3x
-9 = x -9
+9
x = 0.
So if x is 0 we can plug that in one of the equations.
y = 4(0) - 9
y = -9
So the solution where the 2 lines meet is at (0,-9)
For more proof look at the image below.
Take the numbers together and the variables together so you’ll get -9+9=0 and 4x-3x =1x or x so x is equals to zero then substitute the zero on both of the equations to get Y= -9
So the answer it has one solution which is -9 at Y and so it’s considered 1 cause (0,9) and 0 is not a solution.
Hope it helped:)
AC=4, AE=7, AD=10, what is the length of AB?
A: 1 3/7
B: 2 1/2
C: 5 5/7
D: 17 1/2
Answers
Answer:
C. [tex] AB = 5\frac{5}{7} [/tex]
Step-by-step explanation:
When two polygons are considered similar, the ratio of their corresponding sides would also be equal.
Since ∆ABC and ∆ADE are similar, [tex] \frac{AE}{AC} = \frac{AD}{AB} [/tex]
[tex] \frac{7}{4} = \frac{10}{AB} [/tex]
Cross multiply
[tex] 7*AB = 10*4 [/tex]
[tex] 7*AB = 40 [/tex]
Divide both sides by 7 to find AB
[tex] \frac{7*AB}{7} = \frac{40}{7} [/tex]
[tex] AB = \frac{40}{7} [/tex]
[tex] AB = 5\frac{5}{7} [/tex]
The sum of the interior angles of a polygon is 540. what polygon is this
Answers
Answer:
pentagon has the sum of interior angles as 540
Step-by-step explanation:
i hope this will help you :)
Answer:
pentagon
Step-by-step explanation:
The sum of the interior angles of a triangle (in a plane) is 180°, the sum of the interior angles of a quadrilateral is 360°, the sum of the interior angles of a pentagon is 540°, the sum of the interior angles of a hexagon is 720°, and in general, the sum of the interior angles of an n-gon (a polygon with n sides) is 180°× (n-2).
JUST SOME EXTRA POINT YK
Find x please help thank you
Answers
Answer: x=(7√6)/2
Step-by-step explanation:
To find x, we would have to find the hypotenuse of the 45-45-90 triangle. First, we would have to find the hypotenuse by using the 30-60-90 triangle on top to find it.
For a 30-60-90 triangle, the hypotenuse is 2x in length. the x is the same in all sides. All you would have to do is to plug it in. The leg opposite of 60° is x√3 in length. the leg opposite of 30° is x in length.
Since we know that 7 is opposite of the 30° angle, we know that x is 7. Across fron 60° is the hypotenuse of the 45-45-90 triangle. That leg is x√3. We plug in x=7 and get 7√3.
The hypotenuse of the 45-45-90 triangle is x√2 and the legs are both x. We can set 7√3 equal to x√2 to find x of the missing side.
7√3=x√2 [divide both sides by √2]
x=(7√6)/2
Now, we know x=(7√6)/2.
Vicki and Tamra are working on their math homework together. Vicki has worked p problems, and Tamra has worked 4 times as many problems as Vicki. The expression shows how many problems they have worked altogether. p + 4p Which of the following is another expression that could be used to get the same result, and what does it represent? A. 5p2. This represents that Vicky and Tamra have worked on 5p2 problems altogether. B. p + 4. This represents that Vicky and Tamra have worked on p + 4 problems altogether. C. 5p. This represents that Vicky and Tamra have worked on 5p problems altogether. D. p + 5. This represents that Vicky and Tamra have worked on p + 5 problems altogether.
Answers
Answer:
c.5p
Step-by-step explanation:
we know that p + 4p can be simplified as 5 p.
Therefore when compared if theses 2 are equal or not , p+4p=5p
we can simply add p+4p(as p is 1p) which gives 5 p
Answer:
5p
Step-by-step explanation: