The figure shows a trapezium PQRS where RS = 17m and PS = 15m. If PT = 14m, and the area of trapezium is 196m2, Find the length PQ.

Answers

Answer 1

Answer:

PQ = 11 m

Step-by-step explanation:

In trapezium PQRS,

PQ and RS are parallel lines and PT is the perpendicular distance between the parallel lines

a = PQ

b =RS = 17 m

d = PT = 14 m

[tex]\frac{(a+b)*d}{2}= 196\\\\\frac{(PQ + 17)*14}{2}=196\\\\(PQ + 17) * 7 = 196\\\\PQ + 17 = \frac{196}{7}\\\\PQ + 17 = 28\\\\PQ = 28 - 17\\\\PQ = 11[/tex]

Answer 2
The answer is PQ = 11m

Related Questions

PLS HELP
The graph below is a distance-time graph. The line shows the journey of Joey from his house to his friend’s house. Joey leaves home at 8:00 AM and arrives at his friend’s house at 10:00 AM.
How far is Joey’s friend’s house from his house?

Answers

It’s 2 hours away I think we’ll I’m pretty sure
To joeys friends house it's 2 hours away

Tuesday’s high temperature was 4 degrees less than Monday’s high temperature.

Answers

Answer:

Explanation:

just find out the temperature of Monday and then take away 4 from it

I’ll give brainliest if u explain!:)ty

Answers

Answer:

1. x=5

2. x=3.18

3. x=1.1

4.x=7

5.x=4/5

Step-by-step explanation:

ok so basically what the question means is one number multiplied by another number is this number. for example the first one is 7 multiplied by x (x is a variable so it represents a number) equals 35. you just have to figure out what x equals. and in my opinion, the easiest way to do that is by dividing 35 and 7, which will give you 5. so basically the equation is just 7 x 5 = 35. hope this helps :)

Answer:

1. x = 5

2. x = 3.18181818

3. x = 1.1

4. x = 7

5. x = 0.8

Step-by-step explanation:

1. 35 = 7x now if we divide both sides by 7 we get

35/7 = x

5 = x

2. 35 = 11x divide  both sides by 11:

35/11 = x

3.1818181818 = x

3. 7x = 7.7 divide both sides by 7 again:

x = 7.7/7

x = 1.1

4. 0.3x = 2.1 divide by 0.3 on both sides

x = 2.1/0.3

x = 7

5. 2/5 = 1/2x first simplify: 2/5 = 0.4    1/2 = 0.5

0.4 = 0.5x divide both sides by 0.5:

0.4/0.5 = x

0.8 = x

Have a nice day! :-)

Look at picture I put please

Answers

Answer:

G) 3+(p*6)

Step-by-step explanation:

Using the Commutative property property, the 3 can be moved from the right to the left, and the p and 6 can be switched, and the expression will stay the same.

Answer:

g

Step-by-step explanation:

3+(p*6) is the same as (6*p)+3.

I don't get it.... I checked my book for the answers and it shows usless info

Answers

Answer:

x= 22.6

Step-by-step explanation:

This little red square means that is a right angle (90 degrees)  

x is the complementary of 67.4  (Both add to 90)

90-67.4 = 22.6

that type of corner angle is a 90° angle, so since you know the first half of the 90° angle which is 67.4 all you need to do is subtract

so you get
90 - 67.4 = 22.6

What is the measure of ∠FGC?

Answers

Answer:

I think its 30 degrees

Step-by-step explanation:

because it's look like ABE, if you were to fold it in half it would look the same

True or False?
Unmoving objects are being acted on by balanced forces.

Answers

Answer:

true

Step-by-step explanation:

There are forced acting on it, but as they're balanced it is unmoving

The following data points represent the yearly salaries of high school cheerleading coaches in Dakota county (in thousands of dollars). 41 38 36 57 43

Answers

Answer:

the MAD is 5.6 thousand

Step-by-step explanation:

First, find the mean: 41 + 38 + 36 + 57 + 43 = 215, divide it by the amount of numbers, 5, 215/5 = 43. Now that we have the mean, find the distance each number is away from it:

|41 - 43| = 2, |38 - 43| = 5, |36 - 43| = 7, |57 - 43| = 14, |43 - 43| = 0.

2 + 5 + 7 + 14 + 0 = 28, divide it by the amount of numbers to get 28/5 = 5.6

Jose substitutes a value for y in the equation 5y = 3y + 4
How will Jose know if the value is a solution of the equation?

Answers

Answer:

Step-by-step explanation:

Equation

5y = 3y + 4

combine like terms 3y becomes negative when moved to the left side being that its positive on the right. 4 has no variable so it stands alone on the right side.

-3y + 5y = 4

After adding a low negative to a high positive number. Turns into 2y.

2y = 4

Divide 2 on both sides to remove the number from the variable on the left.

[tex]\frac{2}{2}[/tex]y = [tex]\frac{4}{2}[/tex]

2 is canceled on the left side which gives the solution for Y.

y = 2

Jose will know if the value is a solution of the equation if both sides end up equaling the same. For example if the ending result is 5=5 then it is a solution. But if the ending result is 4=5 then it’s not a solution

please do not send me p d f s or links
2. Compare the data sets below by finding the range and mean absolute deviation.
Set A: {21, 26, 27, 28, 21, 20, 25, 27, 29, 22}

Set B: {17, 21, 27, 29, 24, 35, 19, 26, 31, 22}

Answers

Answer: Set A Range= 9  MAD: 2.88

Step-by-step explanation:

Range is the difference of the largest number and smallest number in a set

MAD: 1) find the mean of the set of numbers (add them, then divide by how many numbers you added together.

2) find the absolute value of each number - the mean you found.  

3) find the mean of all the absolute values you found in step 2

*1) 21+26+27+28+21+20+25+27+29+22=246/10=24.6

*2) Absolute value of:

21-24.6= 3.626-24.6= 1.427-24.6= 2.428-24.6= 3.421-24.6= 3.620-24.6= 4.625-24.6= 0.427-24.6= 2.429-24.6= 4.422-24.6= 2.6

*3) mean of values from step 2

(3.6+1.4+2.4+3.4+3.6+4.6+0.4+2.4+4.4+2.6)/10= 2.88

MAD=2.88

Follow the same steps for the second set of numbers

How do i find the answer to 6/2(1+298)?

Answers

first you do the thing in the ()
Use Please Excuse My Dear Aunt Sally

P
E
M
D
A
S

Parentheses
Exponent
Multiplication
Division
Addition
Subtraction

So (1+298)=299
299x2=598
598/6=99.666667


But if 6/2 is a fraction then u just multiply 3x299=897

Brainliest to correct answer!

Answers

10 - 100
12 - 144
17 - 289
30 - 900
50 - 2,500
x - x^2

What's the answer for this question?

Answers

The answer is B. This is because since the inequality is x is less than or equal to, the circle will be closed. After you find that out, you look at where the arrow is pointing to. In this case, it is to the left so you would the plot the points.

Please help me with this Change thing

Answers

Answer:

3.99 :)

Step-by-step explanation:

should be correct

Answer:

I am unable to solve this problem. But I will help.

Step-by-step explanation:

Positive is + negative is -

Add

+0.30  with +0.20 then

subtract the

-0.20

Then you will get your answer.

Please answer this I need this to bring up my grade! I’ll really appreciate it if you truthfully answered this!!!

Answers

220 miles is the right answer
220 miles is the correct answer

What percent of the people surveyed had a phone bill $40-$79 or $120-$159?
Question 11 options:

100%

25%

50%

0%

Answers

answer: 50%

explanation: because the people with the $40-$79 and $120-$159 bills add together equal half the total frequencys.

Due today it just 4 questions and NO LINKS and no files pleased and thank you!

Answers

5. no because each spinner is not the same size. it's not divided equally. 6. yes because a cube has 6 faces, so 1 on each is even. 7a. 12% 8. the bag with 25 tiles has a 40% chance of blue tiles and the bag with 250 tiles has a 30% chance, so the chances of picking a blue tile from the 250 tile bag is lower

Answer:

5 and 6 look down.

7. 12%

8. 75/250 30%

Step-by-step explanation:

5. The spinner shown is not a fair spinner because sections 1 and 5 are bigger than the rest of the sections.

6. The cube is fair because you have a 1 in 6 chance of getting a number. There is not a greater chance to roll a 1 than a 4.

7. There are 3 marbles that are white out of 25. This means that the probability of getting a white marble is a 3/25 chance.

There is a 12 percent chance that you will pick a marble

8. In this problem you are doing the same thing as 7. 10/25 is 40% chance and 75/250 is 30% chance.

What is the equation of the line in slope-intercept form? (5 points)

Question 5 options:
1)
y = 36x − 3
2)
y = −3x + 36
3)
y = −3x + 12
4)
y = −12x + 3

Answers

Answer:

1) look at the picture

2) look at the picture

3) look at the picture

4) look at the picture

Step-by-step explanation: Hope this help :D

Answer:

y=-3x+36

Step-by-step explanation:

because the line crosses the y axis at 36

x+1.793=2.42

______ = _______

X = _________


Choices : +2.42 , +1.793 , +2.42 , +1.793 , x=4.213 , -1.793 , -1.793 , x=0.627

*Choices can be used more than once!!

PLZ HURRY WILL MARK BRAINLIEST

Answers

The right answer is
0.627

I need help with this.

Answers

Answer:

your answer should be 80

i am very sorry if this is wrong for you

have a good day!

HELP ME PLEASE
The graph above shows Kyle’s canoe trip. The line shows Kyle’s journey from the start of the river to the first breakpoint.
What time did Kyle reach the first breakpoint in the canoe trip? How far away is the first breakpoint?

Answers

Answer:

Kyle reached the first breakpoint at 9am

the first breakpoint is 8 miles

hope it helps

Kyle first break point is at 11 am and is is 16 miles away

Brandon took 3 minutes to brush his teeth, 2 minutes to get dressed and 12 minutes to eat breakfast. If he left his house at 7:19 what time did he start getting ready.

Answers

Answer:

7:02

Step-by-step explanation:

12+2+3=17 19-17

Answer:

7:02

Step-by-step explanation:

3 + 2 + 12 = 17 minutes

7:19 - 0:17 = 7:02

Given the following system of linear equations, do Part A and Part B below.
(3x=3y-3
(y=x+1 Part A: Using the method of your choice (graphing, substitution or addition), find the solution to the system of linear equations. Include all of your work in your final answer. Part B: In two or more complete sentences, explain why you chose the specific method you used to find the solution to the system.

Answers

Answer: (0, 1)

Step-by-step explanation:

For starters, the two equations are the same line if you put the first one into y=mx+b form you'll see that they are, so basically any solution to one is the same for the other.

I choose subsitution to find the solution set

[tex]3x = 3y -3\\y = x + 1 \\3x = 3(x+1) -3 \\3x = 3x + 3 -3 \\3x - 3x= 3-3 \\x = 0 \\\\y = x+ 1\\y = 0 +1 \\y = 1[/tex]

This method is the easiest given that the problem already tells you what y is equal to. So this way you can substitute this in for y in the first equation and find x and then from there find y in the second.

how can i not fall asleep with only sleeping 2 hours of sleep last?

Answers

Answer: try an energy drink such as Red Bull or coffee. You should take a nap though when u can :)

Help me please with this math question! giving brainliest to the correct answer

Answers

The answer is 50.265
Circumference has a formula of c = 2 pi(3.14 in this case) r

Diameter is double the radius so the radius is 8

Let’s plug things in

2 (3.14) (8)

The circumference is 50.24

the graph below represents the rate for the cost of b books. write an equation to represent the cost c.

Answers

Answer: y=Mx+b

Step-by-step explanation:

I'm learning this in class right now lol The answer is y=mx+b. enjoy ur day/night! :3

A coin is tossed two times and the results are heads and heads. What is the probability in fraction form?

Answers

Answer:

The probability of getting two heads on two coin tosses is 0.5 x 0.5 or 0.25.

(The probability of getting heads on the toss of a coin is 0.5)

Step-by-step explanation:

The Product Rule is evident from the visual representation of all possible outcomes of tossing two coins.

0.5 or 1/2! hope this helped

A sales clerk sold 3 times as many T-shirts as hats last week. The number of belts she sold was 15 more than 1/4 the number of hats she sold. If she sold 288 hats, how many fewer belts than T-shirts did the clerk sell? PLEASE HELP!!

Answers

gave it a shot and got 9, hope it’s helpful :)

helppppppppp :pppppppp

Answers

Answer:

2

Step-by-step explanation:

1/2n + 2 = 6

1/2n = 4

n = 2

Answer:

n=8

Step-by-step explanation:

Eric has set a financial goal to purchase a home in three years. He wants a four-bedroom house with a big backyard on the lake. He currently has $5,000 in his savings account. If he doesn’t deposit or withdraw any money, what type of savings account should he choose? Keep in mind that he wants to have the most money in his account at the end of three years

The best savings account options for Eric are: Select all that apply:

CD
money market
basic savings account
IRA

Answers

Money market I think
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