Isosceles trapezoid ABCD has legs AB and CD, and base BC. If AB = 3y - 4, BC = 2y -3, and CD = 4y - 18, find the value of y.

Answers

Answer 1

Answer:

   (6)

Step-by-step explanation:

Since it is an isosceles trapezoid the length of the two legs (i.e.  AB = 5y-10 and CD = 2y+8) are equal.  In other words,

5y - 10 = 2 y + 8

Subtract 2y from each side:

5y - 2y - 10 = 8

Now add 10 to each side

5y - 2y - 10 + 10 = 8 + 10 =>

3y + 0 = 18 =>  

3y = 18 =>

y = 6


Related Questions

Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3.

Question 7 options:


A)


(4, 1)


B)


(4, 5)


C)


(2, 2)


D)


(–6, 6)

Answers

Answer:

B ......................

find the least length of a rod which can be cut into exactly epual strips,each of either 36cm or 42cm in length​

Answers

Step-by-step explanation:

so, we need to find the smallest common multiple of 36 and 42.

that is the smallest number I can divide both by 36 and 42 without remain.

let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :

36 / 2 = 18

18 / 2 = 9

9 / 3 = 3

3 / 3 = 1 finished

therefore,

36 = 2×2×3×3

42 / 2 = 21

21 / 3 = 7

7 / 5 does not work

7 / 7 = 1 finished

therefore,

42 = 2×3×7

to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.

and we see 2 times 2, 2 times 3 and 1 time 7.

so, the SCM = 2×2×3×3×7 = 252.

there is no smaller number that can be divided by both 36 and 42 without remain.

so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).

“a fraction f multiplied by 13 equals 29.

Answers

Answer:

29/13

Step-by-step explanation:

The equation is a/b*13=29. So, if we divide the whole thing by 13m we get a/b=29/13. This means that a=29 and b=13. 29/13 is the maximum it can be simplified.

Shiva drank 2 3 liter of water Monday before going jogging. She drank 3 7 liter of water after her jog. How much water did Shiva drink altogether?

Answers

Answer:

2/3 = 16/243/8 = 9/2416/24 + 9/24 = 25/2425/24 = 1 and 1/24

Step-by-step explanation:

 Find the perimeter. Simplify the answer

Answers

Answer:

sorry i was dared to sooooooo yayyyyyyyyyyyyyy

Answer:

15x + 28

Step-by-step explanation:

Perimeter = 5x + 10 + 5x + 10 + 5x + 8

= 15x + 28...ans

Hope it Helps you!!

In a bag of m&ms, there are 12 blue,7 browns, 16 red,6 green, 4 yellow, 8 orange.What is the probability of choosing a brown or green candy from the bag

Answers

Answer:

40 percent

Step-by-step explanation:

Answer:

13/53

Step-by-step explanation:

Total number of m&m's = 53

Probability of choosing a brown candy = 7/53

Probability of choosing a green candy = 6/53

Probability of choosing a green or brown candy

= 7/53 + 6/53

=13/53

Find the area of the composite figure made up of a square and a semicircle. Use 3.14 as an approximate for pi and give your nearest square inch. Enter only the number.

Answers

Answer:

200.52 in^2

Step-by-step explanation:

to find the area of a circle, you square 6 and multiply it by pi in this case 3.14.

that gives you 113.04 but because this is only a half circle, it is 56.52 in^2.

Next, you need to find the rectangle. multiply 12(length) by 12(Width) to get 144 add 144 to 56.52 to get 200.52.

Hope this helped if it did please give me brainliest it helps me a lot. :)

Hope this helped!

3(x-4)=2(-2x+1) please help

Answers

Answer: x=2.

Step by step:

3(x-4)=2(-2x+1)

3x-12=-4x+2

7x-12=2

7x=14

x=2

Answer:

[tex]\boxed{\boxed{\sf x=2}}[/tex]

Step-by-step explanation:

[tex]\sf 3\left(x-4\right)=2\left(-2x+1\right)[/tex]

Expand, Apply Distributive property:

→ [tex]\sf 3x-12=-4x+2[/tex]

Add 12 from both sides:

[tex]\sf 3x-12+12=-4x+2+12[/tex]

→ [tex]\sf 3x=-4x+14[/tex]

Add 4x from both sides:

[tex]\sf 3x+4x=-4x+14+4x[/tex]

→ [tex]\sf 7x=14[/tex]

Divide both sides by 7:

[tex]\sf \cfrac{7x}{7}=\cfrac{14}{7}[/tex]

→ [tex]\sf x=2[/tex]

______________________________________

O 8) Translate the point and give the resulting coordinates.
(-9,6); (5,-2)

Answers

Answer:

- 4/7

Step-by-step explanation:

The resulting point is 5 units right and 2 units down, and the resulting coordinates are (- 4, 4).

Used the concept of coordinate that states,

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The coordinate is (- 9, 6) and (5, - 2).

Now the value of the resulting coordinate is found as,

(- 9 + 5, 6 - 2)

= (- 4, 4)

Therefore, the resulting point is 5 units right and 2 units down, and the resulting coordinates are (- 4, 4).

To learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ3

Find the measure of each angle indicated.

Answers

Step-by-step explanation:

92°

as the has given pair of angle is Alternate Exterior angle so they have same values.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

. Which angle is included between the sides MN & OM of AMNO​
quick pleaseeee

Answers

Give the figure pls
……………………….

solve the questions ​

Answers

Answer:

1

Step-by-step explanation:

= 21/21

= 1

Answer:

90

Step-by-step explanation:

let the number to be found be x then

23 [tex]\frac{1}{3}[/tex] % of x = 21  ( change mixed number to improper fraction )

[tex]\frac{\frac{70}{3} }{100}[/tex] x = 21

[tex]\frac{70}{300}[/tex] x = 21 ( multiply both sides by 300 to clear the fraction )

70x = 6300 ( divide both sides by 70 )

x = 90

Then 23 [tex]\frac{1}{3}[/tex] % 0f 90 = 21

A restaurant customer left ​$1.10 as a tip. The tip was ​10% of the cost including tax. What was the total​ bill?

Answers

Answer:

11

Step-by-step explanation:

so 10% as a decimal is 0.1 if you take 1.10 and divide it be 0.1 you get 11. you do this because with percent you just multiply the decimal and you have your percent and using inverse operations you divide by the decimal instead of multiply

16 x [tex]\frac{1}{8}[/tex]

Answers

The answer is 2. Because 16/8 is 2.

Answer:

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y = x - 15 when x is 2.65

Answers

Answer:

y = -12.35

Step-by-step explanation:

Plug in 2.65 for x giving you y = 2.65 - 15

The degree of polynomial is ?

Answers

The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7. The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.

help me brain pt Part 4

Answers

Answer:

Its an acute bc an acute angle is less than 90 degree

What is median number.

Answers

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.

Write an equation in slope-intercept form of the line please help me

Answers

Answer:

The formula is generally represented equationally as ( y - Y1 ) = m( X - X1 ) so now let's substitute the points plotted on the graph.

it is equal to (y - 4) = m(x - 0)

and now we look for the slope

m = y2 - y1/ x2 - x1

which can be directly substituted according to every line connecting each x value to a certain y value.

Solve the inequality
8(x/4-6)>4

Answers

Answer:

[tex]8( \frac{x}{4} - 6) > 4[/tex]

[tex] \frac{8x}{4} - 48 > 4[/tex]

[tex]2x - 48 > 4[/tex]

[tex]2x > 4 + 48[/tex]

[tex]2x > 52[/tex]

[tex]x > \frac{52}{2} [/tex]

[tex]x > 26[/tex]

Round 18.527 to the nearest tenth.

Answers

Answer:18.53

Step-by-step explanation:

7 rounding up will end up to three

Answer:

18.5

Step-by-step explanation:

Plz.Help!me to solve first ano. and bno.​

Answers

Answer:

a) rs 3000

b) rs 16800

a) rs 1600

b) rs 4000

HELP PLZ I NEED TO PASS‼️‼️‼️ (picture of the question is included)A line passes through the point (-4, -3) and has a slope of 5/4.
Write an equation in slope-intercept form for this line.

Answers

Y=5/4 (x) + b
-3 = 5/4 (-4) + b
-3 = -5 + b

b = 2

Final answer: y=5/4(x) + 2
mark that person brainliest!

pls help!! need it to study fr the exam tmrw​

Answers

Answer:

[tex] \frac{88}{4} \\ 22 \\ here \: u \: go[/tex]

Answer:

22 cm

Step-by-step explanation:

The angle subtended at the centre by the arc is 90°

This represents [tex]\frac{90}{360}[/tex] = [tex]\frac{1}{4}[/tex] of the circle

The arc length will be quarter of the circumference, that is

arc = [tex]\frac{1}{4}[/tex] × 88 = 22 cm

How to find standard deviation khan academy.

Answers

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

Helppppppp pleaseeeeeee

Answers

6:15 to 7:45 is 1 hour and 30 minutes.

Dividing 1 hour and 30 minutes by 15 minute intervals equals 6

They rang the bell 6 times

the answer is 6 times

find the amount if £1,500 is saved for 3and1/2 years at 10percent per annum​

Answers

Answer:

To calculate a monthly interest payment based on a per annum interest rate, multiply the principal basis for the loan by the annual interest rate. ...

Divide the annual interest amount by 12 to calculate the amount of your per annum interest payment that is due each month.

Step-by-step explanation:

What portion of the population are eligible voters and over the age of 24? one-fourth one-third one-half two-thirds.

Answers

The portion of a population is simply a fraction of the population.

The required parameters are missing.

So, I will solve this question using the following parameters

Population = 600Eligible voters over the age of 24 = 400

So, the portion of the population that are eligible voters over the age of 24 is calculated by dividing the number of eligible voters over the age of 24 by the overall population.

So, we have:

[tex]\mathbf{Portion= \frac{400}{600}}[/tex]

Simplify the fraction

[tex]\mathbf{Portion= \frac{2}{3}}[/tex]

2/3 means two-third

Hence, the portion of the population that are eligible voters over the age of 24 is two-thirds

Read more about portions and fractions at:

https://brainly.com/question/322203

Answer: Option D, “two-thirds”

Step-by-step explanation:

edge 2022

Lashonda is on the swim team. Each week she swims a total of 9000 meters. How many kilometers does she swim each week? Be sure to include the correct unit in your answer.

Answers

Answer:

Rate is 9 kilometers (km)/week.

Step-by-step explanation:

9000 meters is 9 km (divide m by 1000 to get km)

HELPPP.!! I don’t understand

Answers

False I think it is a solution
i think it’s false.
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