Answers
Given:
In trapezoid [tex]ABCD, AD\parallel BC, MN[/tex] is the mid-segment of [tex]ABCD, AD=30x-10,MN=31x+1,BC=30x+28[/tex].
To find:
The length of [tex]AD[/tex].
Solution:
We know that the length of the mid-segment of a trapezoids is half of the sum of lengths of two parallel sides of the trapezoid.
In trapezoid [tex]ABCD[/tex],
[tex]MN=\dfrac{AD+BC}{2}[/tex]
[tex]31x+1=\dfrac{30x-10+30x+28}{2}[/tex]
[tex]31x+1=\dfrac{60x+18}{2}[/tex]
[tex]31x+1=30x+9[/tex]
Isolate variable terms.
[tex]31x-30x=9-1[/tex]
[tex]x=8[/tex]
Now,
[tex]AD=30x-10[/tex]
[tex]AD=30(8)-10[/tex]
[tex]AD=240-10[/tex]
[tex]AD=230[/tex]
Therefore, the length of [tex]AD[/tex] is 230.
Related Questions
Find the standard deviation, σ, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.
n = 2165; p = 0.63
A. σ = 22.46
B. σ = 25.73
C. σ = 20.05
D. σ = 26.58
Answers
GIVING BRAINLIEST!!!
Answers
Answer:
The second option: 1/4 x (26 - 10) x 3
Step-by-step explanation:
"The difference of 26 and 10" indicates that those two numbers are going to be subtracted, which is why you get (26 - 10).
The "of" in "1/4 of" means that the value after the "of" is getting multiplied by the 1/4: 1/4 x (26 - 10)
The "3 times" means that the 3 is getting multiplied by whatever comes after it, which is why the answer is the second option: 1/4 x (26 - 10) x 3
log (z ^ 3)/(x ^ 4 * y ^ 5) with steps please
Answers
Answer:
Step-by-step explanation:
i’ll give brainliest
Answers
Answer:
-4/5y - 4/5x
Step-by-step explanation:
The fraction ( -4/5 ) will multiply each component in the bracket. That is the (y) and the (x)
So -4/5 × y gives you -4/5y
and -4/5 × x gives you -4/5x
Therefore you have -4/5y - 4/5x
what is the probability of having a standard deck of 52 cards, while having a 3 card hand and getting dealt a jack and a king.
Answers
Answer:
The deck of 52 playing cards is broadly classified into 2 which are further divided into 2 divisions.
Red(26 cards) and Black(26 cards).
The red cards are further divided into diamonds♦️ (13 cards) and hearts♥️ (13 cards).
The black cards are further divided into clubs♣️(13 cards) and spades♠️(13 cards).
In each division of 13 cards classified above, there are/is-
3 face cards- King, Queen, Jack
One ace card
9 number cards(numbered from 2–10)
So, there are twelve face cards in a deck.
When three cards are picked, you may pick any three face cards out of the 12 face cards.
P(getting 3 face cards)=
No. of favourable face cards/ Total cards I.e,
12C3/52C3. By solving it we get 22/22100
=0.00995
Step-by-step explanation:
PLEASE HELP 20 POINTS!
Answers
Answer:
20/132
Step-by-step explanation:
There is a 5/12 chance of event A happening, Event B has a 4/11 chance happening so you multiply the chances together and get 20/132
If p=4 and q=6, evaluate the following expression:66/p+3q
Answers
Answer:
3
Step-by-step explanation:
Since p = 4 and q = 6
Then:
66 / 4 + (3 x 6)
66 / 4 + 18
66 / 22
3
Plug in p and q into the equation.
66/ (4) + 3(6)
66/ 4 + 18
66/ 22
3
HELP!!!!The area of a sector is 120pi with a radius of 20. What is the measure of that central angle?
A. 22
B. 108
C. 216
D. 11
Answers
Answer:
Step-by-step explanation:
22
A cylinder has a Height 50 and a diameter 25 what is it’s volume?
Answers
Answer:
Step-by-step explanation:
V≈24543.69
Answer:
1250
Step-by-step explanation:
50×25=1250 hope it helps
Please help with my ACT PRep
Answers
Answer:
it's D because in a graph y=3/4x-2 is not possible
Can someone plz help me with this one problem plz I really need this to be correct!!!
Answers
Answer:
The answers would be 5.42 and 5.1.
Step-by-step explanation:
The diagram shows 5.39, so those answers would be more than the diagram shows.
Researchers were interested in looking at air quality in different regions of the United States. The following dot plot represents the number of days in a certain month that the air quality was unhealthy for eighteen cities in the Midwest.
10
Days
Which of the following box plots represents the same data displayed on the dot plot above?
Answers
Answer:
b
Step-by-step explanation:
you have to find the mean of the equation
If Birr 2400 is invested at 6 simple interest per annum, then what is the amount after 4 years?
Answers
Answer:
R2976
Step-by-step explanation:
2400(1+0.06×4)
=R2976
The school that Molly goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 10 adult tickets and 10 student tickets for a total of $260. The school took in $94 on the second day by selling 5 adult tickets and 2 student tickets. Write and solve a system of linear equations to find the price of an adult ticket and the price of a student ticket.
Answers
Answer:
Student ticket: $12, Adult ticket: $14
Equations: 260=10x+10y, 94=2x+5y
Step-by-step explanation:
Set adult tickets as y
Set student tickets as x
First day: Total made is 260 so set that equal to 10x + 10y
--> 260=10x+10y
Second day: Total made is 94 so set that equal to 2x + 5y
--> 94=2x+5y
I find it easier to have simplified terms so simplify (divide by 2) the first equation to get: 130=5x+5y
All you have to do now is solve for the two variables.
94=2x+5y - (130=5x+5y) --> x=12, y=14
what's 28.782 to the nearest degree?
Answers
Answer:
I really dont know so u do it
Step-by-step explanation:
Answer: It's 29 degrees.
Which statement is true? A The greatest common factor of 10 and 14 is 5. B The greatest common factor of 10 and 15 is 5. C The greatest common factor of 13 and 21 is 3. D The greatest common factor of 14 and 21 is 3.
Answers
The diagram shows the front face of a barn,
The width of the barn is 12 m.
The height of the barn is 8m.
The sides of the barn are both of height 5m.
Work out the area of the front face of the barn.
Answers
Answer:
the front face of the barn: 78m^2
Step-by-step explanation:
look at the photo
The area of a 2D form is the amount of space within its perimeter. The area of the front face of the barn is 78 m².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The diagram of the barn can be made as shown below. Therefore, the area of the front face of the barn is,
Area of the barn front = Area of the triangle + Area of the rectangle
= (5 × 12) + (0.5 × 3 × 12)
= 60 m² + 18 m²
= 78 m²
Hence, the area of the front face of the barn is 78 m².
Learn more about the Area:
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Find A, B and ? Please show steps as well
Answers
90+x=180
-90. -90
A= 90
PLEASEE HELPPP! IT DUE TONIGHT!!!
Answers
Answer:
Step-by-step explanation:
Answer:
11 +5x=y
y-11-5x=0
Step-by-step explanation:
i need help, i don’t understand
Answers
Answer:
a = 14
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, sum to 180°
a² - 10a + 7a + 26 = 180
a² - 3a + 26 = 180 ( subtract 180 from both sides )
a² - 3a - 154 = 0 ← in standard form
(a - 14)(a + 11) = 0 ← in factored form
Equate each factor to zero and solve for a
a - 14 = 0 ⇒ a = 14
a + 11 = 0 ⇒ a = - 11
Since a > 0 , then a = 14
Please help ill give brainliest and more points
Kushbu decides to order a combination platter at her favorite restaurant. The platter comes with a choice of 2 entrees and 3 sides.
If there are 8 entrees and 6 sides available, how many different meal combinations could she order?
Enter your answer as an integer, like this: 42
Answers
Answer:
5
Step-by-step explanation:
Answer:
560
Step-by-step explanation:
To find the total combination you have to multiply the combination of entrees by the combination of sides. You have to use the nCr equation to find these separate equations. n is the number of items in the total of the set and r is the number of items you want to choose from the set.
nCr(8,2) = 28
nCr(6,3) = 20
28 * 20 = 560
Helppppp
needdddd it
Answers
Answer:
angle don+angle gil=90°
don+ 74°=90°
don=90°-74°
don=16°
angle e + angle a=180°
128°+angle a=180°
angle a=180°-128°
angle a=52°
Answer:
1. 16°
2. 52°
Step-by-step explanation:
So!! Complementary angles add up to 90 degrees, and supplementary angles add up to 180 degrees. With this, it should be really easy. To find the measure of angle DON:
m∠DON + m∠OIL = 90°
m∠DON + 74°=90°
m∠DON=16°
For the measure of angle A:
m∠A+m∠E=180°
m∠A+128°=180°
m∠A=52°
Hope this helped!
Lines with the same slope are
Answers
Answer:
Parallel if they have the DIFFERENT y-intercept
If they don’t have the different y-intercpet, its just coincide
Which of the following numbers are irrational?
Answers
Answer:
c.
hope it helps :)
Step-by-step explanation:
Answer:
B. Pi
Step-by-step explanation:
Pi is an irrational number---you can't write it down as a non-infinite decimal. This means you need an approximate value for Pi. The simplest approximation for Pi is just 3.
who wanna help me with my school work
Answers
Answer:
364 [tex]mi^{2}[/tex]
Step-by-step explanation:
NEED ANSWER ASAP GIVING LOTS OF BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
2. 5x-1+
3. x2+ 3x-5
Answer:
this is your answer of first one..
PSYCHOLOGY!!! Which theory claims that individuals label emotions based on how they are interpreted?
A.
Cannon-bard theory
B.
James-Lange theory
C.
relative deprivation principle
D.
Schachter's two factor theory
Answers
Schachter's two-factor theory claims that individual labels emotions based on how they are interpreted.
What is Schachter's two-factor theory?The Schacter two-factor theory states that emotion is the product of the interplay of two variables:
Physiological excitation and Cognition.This theory suggests that physiological excitation is cognitively understood and interpreted within the setting of each encounter, resulting in the emotional experience.
The relationship between bodily arousal and how we cognitively perceive that arousal is the subject of the two-factor theory of emotion.
To put it another way, merely feeling arousal is insufficient; we must also recognize the arousal in order to interpret and experience the emotion.Learn more about Schachter's two factor theory here:
https://brainly.com/question/7118820
Answer:
James-Lange theory
Step-by-step explanation:
Trevor built 8 birdcages to sell at the Connellsville Craft Show. He hopes to earn $112. Trevor will write an equation for p, the price in dollars he will charge for each birdcage.
A. Write an equation for the scenario.
B. What value of p makes the equation true? Explain how you found your answer.
C. Suppose Trevor decided he wants to earn $270 with the 8 birdcages. Write an
equation he could use to find p, the price in dollars he should charge for each birdcage. Tell how much Trevor should charge now, and explain why your answer is correct.
Answers
Answer:
a, 112/8
b, $14, found it by dividing
c, 270/8. Now he should charge $33.75. This is correct because 33.75*8=270
Step-by-step explanation:
Susan has a birdfeeder in the shape of a rectangular prism. It is filled with bird seed to a height of 58 feet as shown. How many cubic feet of bird seed does Susan need to fill the rest of the birdfeeder?
Answers
Answer:
Susan needs 1 23/64 cubic feet of bird seed to fill the rest of the birdfeeder.
Step-by-step explanation:
I did the math.
0.11718 cubic feet of bird seed Susan need to fill the rest of the birdfeeder.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.We have,
It is filled with bird seed to a height of 5/8 feet as shown.
So, Susan need to fill the rest of the birdfeeder
= 5/8 x 1/2 x 3/8
= 15 / 128
= 0.11718 feet
Learn more about Fraction here:
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Please help with this its confusing somehow :(
Answers
Answer: C.
Step-by-step explanation: divide -27 by 3