The following quadrilateral is a parallelogram.
W
V
12
?
T
11.5
Side WT is
units long
Answers
Answer:
12
Step-by-step explanation:
By definition, opposite sides of a parallelogram are congruent.
Related Questions
Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
12x-15
Step-by-step explanation:
In my expression, I multiplied 12(how much money she makes per hour) by x(the number of hours she worked) then subtracted 15, which was the fine she had to pay.
Answer:
12x-15
Step-by-step explanation:
I took the test
Given the following three arithmetic sequences : 1, 3, ... and 1, 4, ... and 1, 5, ... A number is randomly selected from 1 to 1000, inclusive. What is the probability that the selected number is not a term of any of the given sequences?
Answers
Answer:
0.333
Step-by-step explanation:
The first sequence starts at 1 and has a common difference of 2. It will include every odd number in the range.
__
The second sequence starts at 1 and has a common difference of 3. It will include odd numbers and the even numbers 4, 10, 16, .... That is, all even numbers of the form 6n -2 will be included. The last one corresponds to the largest value of n such that ...
6n -2 ≤ 1000
6n ≤ 1002
n ≤ 167
That is, 167 even numbers will also be excluded.
__
The third sequence starts at 1 and has a common difference of 4. Every number in this sequence is also a number in the first sequence.
__
So the numbers in these sequences include all 500 odd numbers and 167 even numbers, for a total of 667 numbers. The probability that a randomly chosen number is not in one of these sequences is ...
(1000 -667)/(1000) = 333/1000 = 0.333 . . . . p(not a sequence term)
Answer:
1/3
Step-by-step explanation:
the volumes of two similar solids are 729m^3 and 125m^3. the surface area of the larger solid is 324m^2. what is the surface area of the smaller solid? A. 56m^2 B. 100m^2 C. 500m^2 D. 200m^2
Answers
Answer:
B. Is the Answer 100 m²
Step-by-step explanation:
The ratio of the two solid is 729/125
The ratio of the surface area = (729/125)^(2/3)=81/25
Surface area = 25 * 324 / 81 = 100 m²
2. Points A, B and C are all on the
circumference of the circle.o
represents the centre.
DA and DB are tangents to the
circle. Angle BDO = 31
Work out the size of angle.
Answers
Question
Points A, B and C are all on the
circumference of the circle. O represents the centre. DA and DB are tangents to the circle. Angle BDO = 31°
Work out the size of angle x
Answer:
62°
Step-by-step explanation:
To solve for the above question, we would be using circle theorems.
Step 1
Angle OBD = 90° This is because a radius and a tangent meet at 90°
Step 2
The sum of Angles in a triangle = 180°
180° = Angle OBD + Angle BDO + Angle BOD
180° = 90° + 31° + Angle BOD
Angle BOD = 180° - (90° + 31°)
= 180° - 121°
Angle BOD = 59°
Step 3
Angle BOD = Angle AOD because they are congruent ,therefore, Angle AOD = 59°
Step 4
The sum of angles of a straight line = 180°
Angle BOD, Angle AOD and Angle x are angles on a straight line
Hence,
180° = Angle BOD + Angle AOD + Angle x
180° = 59° + 59° + x
x = 180° - ( 59 + 59)°
x = 180° - 118°
x = 62°
Therefore Angle x = 62°
Please help me prove that AÊD = B
Answers
20 POINTS! An 85-foot wire is tied from the top of a utility pole to the top of the building as shown. Find d, the distance from the pole to the building.
Answers
Answer:
d = 78.810 feetStep-by-step explanation:
To find the distance d we use sine
sin∅ = opposite / hypotenuse
d is the opposite
the hypotenuse is 85ft
∅ = 68°
sin 68 = d / 85
d = 85 sin 68
d = 78.810 feet
Hope this helps you
GPAs at CCSU are normally distributed with a mean of 2.38 and a standard deviation of 0.45. Find the z-score for a GPA of 3.06. and discuss the significance of the z-score.
Answers
Step-by-step explanation:
Z-score = (score-mean)/standard deviation
= (3.06-2.38)/0.45
= +1.51
The significance of z-score will be "1.5111".
Given values are:
Mean,
[tex]\mu = 2.38[/tex]
Standard deviation,
[tex]\sigma = 0.45[/tex]
GPA,
[tex]\bar x = 3.06[/tex]
Now,
→ The z-score will be:
= [tex]\frac{\bar x - \mu}{\sigma}[/tex]
By putting the given values, we get
= [tex]\frac{3.06-2.38}{0.45}[/tex]
= [tex]\frac{0.68}{0.45}[/tex]
= [tex]1.5111[/tex]
Learn more about standard deviation here:
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A team of 15 soccer players needs to choose a captain and a co-captain. Is this an example of permutations or combination. Then find the number of possiblities.
Answers
Answer:
Permuation; 210 possibilites
Step-by-step explanation:
With permutations we care about the order of the elements, whereas with combinations we don’t. For this question order matters, because you have two different positions you want to fill (captain, and co-captain).
This would be written as 15p2
To find the number of possibilities we want to use the permuation equation.
(,)=!(−)!
P=permutation
n= the set or population (15 soccer players)
r= subset (1 captain and 1 co-captain, total of 2)
(,)=(15,2)
=15!(15−2)!
= 210
If u are confused about !(factorial) in the equation here is a quick explanation
Many calculators have a factorial key (look for the ! symbol). This function of the calculator will automate the multiplications, but if you do not have a calculator that can compute factorials you just have to go like this
1! = 1
2! = 2 x 1 = 2
3! = 3 x 2 x 1 = 6
4! = 4 x 3 x 2 x 1 = 24
5! = 5 x 4 x 3 x 2 x 1 = 120
6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320
9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362880
10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800
etc
Hope this helps!!
The number of possibilities in choosing captain and co-captain are 210 ways.
What is the Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
Given that, a team of 15 soccer players needs to choose a captain and a co-captain.
Number of captains can be choose from 15 players.
Number of co-captains can be choose from 15-1=14 players.
So, the number of possibilities= 15×14
= 210 ways
Therefore, the number of possibilities in choosing captain and co-captain are 210 ways.
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A company wants to administer a satisfaction survey to its current customers. Using their customer database, the company randomly selects 100 customers and asks them about their level of satisfaction with the company.what type of sampling method is use
Answers
Answer:
The type of sampling method used is:
Simple random sampling.Step-by-step explanation:
A simple random sampling is a method where the pollster, in this case, the company, from a finite or infinite population (the costumers in the database) takes a representative sampling (in this case 100 costumers) to apply the survey and obtain data that can be used to deduce the way of thinking of all the costumers, though to actually identify this way of thinking, the sampling must be proportional to the size of the population, on the contrary, the data obtained won't be useful to reveal the real level of the satisfaction (In this case securely the database is 10,000 costumers or less, then the sampling is at least the 1% of the population). Another characteristic is all the people in the population should have the same opportunity to be part of the sampling, this is identified in the paragraph where says that the selection was random.
Answer:
B. simple random sampling
Step-by-step explanation:
right on edge
Determine the surface area of a sphere with a diameter of 16 cm. Question 4 options: A) 804.2 cm2 B) 1,024 cm2 C) 201.0 cm2 D) 3,216.9 cm2
Answers
Answer:
The answer is option A.
804.2cm²Step-by-step explanation:
Surface area of a sphere is 4πr²
where r is the radius
radius = diameter / 2
radius = 16/2 = 8cm
Surface area of the sphere is
4π (8)²
= 4(64)π
= 256π
= 804.2cm²
Hope this helps you.
Find the missing length indicated.
Answers
Answer:
Step-by-step explanation:
x=✓25*9
x=✓5^2*3^2
x=5*3
x=15
If a cow has a mass of 9×102 kilograms, and a blue whale has a mass of 1.8×105 kilograms, which of these statements is true?
Answers
Answer:
The mass of the Blue whale is 200 times the mass of the cow
Step-by-step explanation:
Given
Mass of Cow = 9 * 10² kg
Mass of Blue Whale = 1.8 * 10⁵ kg
Required
Determine the relationship between both weights
Represent the mass of the cow with C and the mass of the whale with B
[tex]C = 9 * 10^2kg[/tex]
[tex]C = 9 *100kg[/tex]
[tex]C = 900kg[/tex]
[tex]B = 1.8 * 10^5kg[/tex]
[tex]B = 1.8 * 100000kg[/tex]
[tex]B = 180000kg[/tex]
Divide the bigger weight by the smaller weight
[tex]\frac{B}{C} = \frac{180000kg}{900kg}[/tex]
[tex]\frac{B}{C} = \frac{180000}{900}[/tex]
[tex]\frac{B}{C} = {200}{}[/tex]
Multiply both sides by C
[tex]C * \frac{B}{C} = {200}{} * C[/tex]
[tex]B = {200}{} * C[/tex]
[tex]B = 200}C[/tex]
From the expression above, it can be concluded that the mass of the Blue whale is 200 times the mass of the cow
Draw a vector representing the course of a ship that goes 50 miles on a
course with direction 2400.
Answers
Answer:
The answer is below
Step-by-step explanation:
We have a vector with a magnitude of 50 miles and a direction of 240 °.
To draw it, the first thing is to make a Cartesian plane, the first thing is to know in which quadrant it would be, 240 ° is in the third quadrant (180 ° - 270 °), that is, it would be 30 ° (270 ° - 240 °) with respect to to the y axis negative.
Knowing this angle, we calculate the value of x and y, knowing that the magnitude of the vector is 50 miles, that is, this value would be the hypotenuse.
The value on the x-axis can be calculated using the sine of the angle, like this:
sin 30 ° = x / 50
x = sin 30 ° * 50
x = 25, how is the third quadrant would be -25
Now to calculate the value on the y-axis it would be by means of Pythagoras and it would be:
y ^ 2 = 50 ^ 2 - 25 ^ 2
y ^ 2 = 1875
y = 43.3, -43.3 because it must be located in the fourth quadrant
Which means that to draw the vector that we are asked to do, we must draw a point from origin (0,0) to (-25, -43.3).
Then I leave a sketch of what it would be:
-
Given the graph of y = f(x), shown as a red dashed curve, drag the movable blue point to obtain the graph of
y = f(x - 4) + 3.
Answers
Answer:
The blue point will be at (4, 3)
Step-by-step explanation:
Numbers inside the parenthases only affect x, but are revered. If it is -4, move right 4. lf it is 4, move left 4.
Numbers after the patentheses affect the movement of y. When the point is at (4, 0), move up 3.
2(x+3)=x-4 i really need help on this plss
Answers
Answer:
X = -10Step-by-step explanation:
[tex]2(x + 3) = x - 4[/tex]
Multiply each term in the parenthesis by 2
[tex]2 x + 6 = x - 4[/tex]
Move variable to L.H.S and change its sign
[tex]2x - x + 6 = - 4[/tex]
Move constant to R.H.S and change its sign
[tex]2x - x = - 4 - 6[/tex]
Calculate
[tex]x = - 10[/tex]
Hope this helps...
Good luck on your assignment...
In how many ways can you put seven marbles in different colors into two jars? Note that the jars may be empty.
Answers
Answer:
128
Step-by-step explanation:
You have two jars and seven marbles.
You do [tex]2^{7}[/tex].
That is 128
if straykids hyunjin had 50,000 won and wanted to by lots of 45rings for 500 won how much will he have left? b) if changbin and han had 145 lightsicks and sold 75? how much lighsticks will they have now?
Answers
Answer:
a) he would have 27500 won
b) changbin and han would have 70 lightsticks
Step-by-step explanation:
a)
multiply 45 rings by 500 won to get the total expense
45 x 500 = 22500
then subtract 22500 won from 50000 to get the amount left after the purchase
50000 - 22500 = 27500
this results in 27500 won total
b)
subtract 75 from 145 to get the amount left
145 - 75 = 70
Answer:
Hyunjin has 27,500 left.
Changbin & Han have 70 lightsticks left.
Step-by-step explanation:
A) 45 × 500 = 22500 50,000 - 22500 = 27500
B) 145 - 75 = 70
You would like to have $4000 in 3 years for a special vacation following graduation by making deposits at the end of every six months in an annuity that pays 4.5% compounded semiannually. a. Use one of the formulas below to determine how much you should deposit at the end of every six months.
Answers
Answer:
666.70 at the end of every six months.
Step-by-step explanation:
At the end of every six months deposit amount is 666.70
What is compound interest ?Compound interest is the interest paid on both principal and interest, compounded at regular intervals.
Formula of compound interest :
[tex]A = P(1+\frac{r}{100} )^{n}[/tex]
where,
A = final amount
P = initial principal
n = time in years
r = rate per annum
According to the question
Final Amount needed for a special vacation (A) = $4000
Time in years needed to collect Amount (n) = 3 years
Rate per compounded semiannually (r) = 4.5%
Substituting values in formula for six months
Now time (n) = 3 * 6 = 18 years
using formula of compound interest
[tex]A = P(1+\frac{r}{100} )^{n}[/tex]
[tex]4000 = P(1+\frac{4.5}{100} )^{18}[/tex]
[tex]4000 = P(1.045 )^{18}[/tex]
now,
P = 666.70
Hence, at the end of every six months deposit amount is 666.70
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the variables x and y are directly proportional , and y=4 when x=3
Answers
Answer:
4/3
Step-by-step explanation:
y = kx
4 = k(3)
4/3 = k3/3
4/3 = k
The constant proportion is 4/3.
Answer:
the correct answer is 20 just took
the test
I need help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
This is just comparing what is bigger, I don't see what's so hard about it.
Step-by-step explanation:
1. >
2.>
3.>
4.>
5.<
6.<
7.>
8.<
b.
1.>
2.<
3.>
4.<
5.>
6.>
7.>
8.>
2) a: > b: <
3) a: > b: >
4) a: > b: <
5) a: < b: >
6) a: < b: >
7) a: > b: >
8) a: < b: >
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (−8,8) Midpoint: (−7,0)
Answers
Answer:
(-6, -8)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply set our variables to what we know and solve:
-7 = (-8 + x)/2
-14 = -8 + x
x = -6
0 = (8 + y)/2
0 = 8 + y
y = -8
Answer:
The other endpoint is (-6,-8).
Step-by-step explanation:
If you follow the slope that the two points made (Endpoint: (−8,8) Midpoint: (−7,0), the slope is -[tex]\frac{-8}{1}[/tex] ) you follow it down like this:I hope this helps
State if a triangle is acute, obtuse, or right.
A) Obtuse
B)Acute
C)Right
ANSWER QUICK 10 POINTS!!
Answers
Answer:
acute
Step-by-step explanation:
pls help me with 15 and 16 I will make u brianlist thank u:)
Answers
Answer:
15. c
16. b
i hope you figure out later in life how to solve.
Answer:
A, D
Step-by-step explanation:
When you are writing an indirect proof, the first step is to temporarily assume that the opposite of what is given is true.
Because of this, that would mean that you would have to temporarily assume x>6, because the first step is to assume the wrong thing, making the answer A.
Same thing for number 16. It is giving you that n is an odd number, so you can temporarily say that n^2 is an even, since an odd times an odd it always going to equal an even, making the answer D.
If the gradient is negative or positive how will it be Please i need it now! Thanks
Answers
Answer:
A gradient is negative if it goes down to the right corner and positive if it goes up to the right corner of a graph.
Step-by-step explanation:
Which expressions are equivalent to the one below? Check all that apply.
4^3•4x
Answers
The expression [tex]4^{3} *4^{x}[/tex] is equivalent to [tex]4^{x+3} , 64*4^{x}[/tex].
What is an expression?An expression is a combination of symbols and it does not convey full meaning of anything.
How to make equivalent expressions?We have been given the expression 4^{3} *4^{x} and we have to find the equivalent equations.
If we see that both bases are equal so we will add the power with only one base from which 4^{x+3} .
If we see that 4 has a power of 3 so we will open it and it becomes 4*4*4*[tex]4^{x}[/tex]
Hence the equivalent expressions are 4^{x+3} , 64*4^{x}.
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The sum of two numbers is 88; one number is 12 less than the other. What is the larger number? 1. Cut the _______ number in half. Write both halves on your paper. 2. Cut the ______________in half. 3. Now ADD half and SUBTRACT half from each side.
Answers
Answer:
50
Step-by-step explanation:
I have set up an equation, where 'x' is the larger number:
x + (x - 12) = 88
Solve for 'x':
x + (x - 12) = 88
x + x - 12 = 88
2x - 12 = 88
2x -12 + 12 = 88 + 12
2x = 100
2x/2 = 100/2
x = 50
The larger number should be 50.
Answer:50
Step-by-step explanation:
PLEASEEEE HELPP !!In each figure, a//b . Determine whether the third figure is a translation image of the first figure. Write yes or no. Explain your answer.
Answers
Answer:
No it’s not a translation
Step-by-step explanation:
No it’s not a translation because a translation is when you are just moving a shape not resizing or rotating the shape.
18
20
86
94
It’s eighth grade math
Answers
Answer:
x = 18
Step-by-step explanation:
We can use Alternate Exterior Angles Theorem to find the angle above x. It would equal 94°. We then use Supplementary Angles to find x:
5x - 4 + 94 = 180
5x + 90 = 180
5x = 90
x = 18
Answer:
I am in 6th, doing 7th grade math, but can get up to 12th grade math lol.
x = 18
Step-by-step explanation:
First step: 5x - 4 + 94 = 180
Second step: 5x + 90 = 180
Last step: 5x = 90
So, therefore, your correct answer is: x = 18
A gambler loses $100 Saturday night and wins $65 on Sunday. What is the gambler’s total loss or gain? Express your answer as an integer.
Answers
Answer:
-35 dollar net loss
Step-by-step explanation:
Since the gambler won $65 but still lost $100, we can see that we would still have a negative net loss.
a plastic storage container has a base which is 70 centimetres long and 30 centimetres wide the container is 50cm. high and has no lid calculate the amount of plastic needed to manufacture this box
Answers
Answer:
The asnwer is 12100 cm^2 of plastic without lid
Step-by-step explanation:
There 6 sides in a box, but there is no lid so only 5 sides.
Calulate the area of all 5 sides and add them up.
( ( 50 x 30) x 2 ) +( ( 70 x 50 ) x 2) + ( 70 x 30 )
=12100 cm^2