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

how would you answer 8 (4 + 2) im confused please help

Answers

You start by doing PEMDAS, parentheses, exponents, multiplication, division, addition, subtraction, so you would start by answering (4+2) which would be (6) and you keep it in the parentheses, so 8(6) so the answer would be 48!

please help me!!!!!!

Answers

Answer:

S.I = P x R x T / 100

Step-by-step explanation:

therefore 8000 x 7 x 5 / 100 = 280000/ 100

= 2800

What is the value of x + 2x when x=23?

Answers

Answer:

69

Step-by-step explanation:

23*2=46

23+46=69

[tex]x+2x = 3x \\\\\text{when x =23,}~ ~3x = 3(23) =69[/tex]

A family travels a distance of 870 miles in 13 hours on vacation. What was the families average speed for this trip? s

Answers

Answer: 256.

Step-by-step explanation:

✨maThS✨

Which of the following is the estimated product of 45 and 50? no links please

Answers

Answer:

3500

Step-by-step explanation:

Hello, you need to eliminate fractions in numbers in such questions. So you have to round. If we round the number 45, we get 50. We don't need to round 50 because 50 has no fractions.

1 - 45 - - > 50

2- 50 - - > no change

3- 50 × 50 = 50² = 3500

(Also, if someone sends you an answer with a link when you ask a question, don't click on that link. I came across it and analyzed it, the link is not secure. To stay safe, you can scan unfamiliar links with virustotal.com.)

Stay safe :)

A movie theater charges $6 for each adult and $3 for each child. If the total amount in
ticket earnings one evening was $1428 and if there were 56 more children than adults, then
how many children attended?

Answers

Answer:

196 children

Step-by-step explanation: 6(140)+3(196)= 1428 (196-140=56)

Solving inequalities


3n + 8 < 5

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.  Inequality Form:

n < -1

My frinds the answer is N < - 13n + 8 < 53n + 8 - 8 < 5 - 83n < 5 - 83n < - 33n  <   -3   3         3n  <  -3        3n < -1 x 3       1 x 3N < - 1

Martin's class has 28 students in it 25 % of those students are homesick today. How many students are home sick

Answers

7 students are home sick

Las propiedades de las multiplicaciones nos llevaran a igualar distint
algebraicas para determinar su equivalentia,
1. En la figura 2.1 se muestran dos formas de descomponer el drea de

cuyos lados miden 35 u y 22 u. Completalos con las medidas que fa
a) Cual es el area total de los rectangular?
b) Calcula el area de las secciones que componentcada rectangula
c) Que relacion hay entre el area total de cada rectangular y las areas
nes que los component

35 u X 20 u

30 u x 20 u

Answers

Answer:

i think it would be c

Step-by-step explanation:

Find and intercept the slope of this line.

Answers

Answer:

The slope is -4. The amount of money left goes down by 4 with each comic book.

Step-by-step explanation:

The answer is D

Find the value(s) of x where the tangent to the graph of y=e^5x is parallel to the
line 10x + y = 17

Answers

Answer:

There are none.

Step-by-step explanation:

No calculus involved:

The line, in slope-intercept form, has equation [tex]y=-10x+17[/tex], ie is always decreasing (easy to spot applying the definition)

Meanwhile, [tex]y=e^{5x}[/tex] is always increasing over its domain.

At no point the tangent will be decreasing.

Let's use calculus

We are to solve the equation [tex]y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2[/tex] which has no real solutions.

what should be included in your financial plan to protect assets

Answers

Answer:

A trust could protect them. Buying liability insurance or an umbrella policy will also help protect assets in case you get sued.

Step-by-step explanation:

What's the answer plz help!!!

A line contains the points (-3, -9) and (4, 5). What is the point-slope form of the line?

y + 9 = -2(x + 3)


y - 5 = 3( x - 2)


y - 9 = 2(x + 3)


y + 9 = 2(x + 3)

Answers

Answer:

y+9 = 2(x+3)

Step-by-step explanation:

The radius of a circle is 5 inches. What is the diameter? What is the circumference

Answers

Answer:

10 in

10\pi

Step-by-step explanation:

Diameter = 2× radious

[tex]c = 2 \times \pi \times r = 2\pi \times 5 = 10\pi[/tex]

What else is required to prove the triangles are congruent using SAS?
See picture for full problem. Please and thank you so much!

Answers

Answer:

<JL congruent <TV

<JU congruent <UL

<TU congruent <UV

Step-by-step explanation:

because they have the same angles and that's my opinion for me

A man Buy television set at a price exclusive of sales tax for $2124 if sales tax of 12% is changed how much money does the man pay

Answers

Answer:

2378.88

Step-by-step explanation:

12/100 x 2124

=254.88

2124+254.88=answer

what is the answer to 11/12-7/9=

Answers

0.13888888888 is tour answer

Solve for x.

45(x−310)=−214

Enter your answer as a mixed number in simplest form in the box.
x =

Answers

305 11/45

Step by step explanation

The solution to the given equation is x = [tex]305\frac{11}{45}[/tex].

The given equation is 45(x-310)=-214.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

By using distributive property, we get

45x-13950= -214

45x=-214+13950

45x=13736

x=13736/45

x=[tex]305\frac{11}{45}[/tex]

Therefore, the solution to the given equation is x = [tex]305\frac{11}{45}[/tex].

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ6

Look at screenshot whoever is correct i will mark brainliest

Answers

Answer:

y+3=1/5(x+4)

Step-by-step explanation:

Hi, I would recommend that you memorize the point slope formula, as it comes up often in later grades.

Point slope formula is y - y1 = m * (x - x1)

and so since we're given the slope (m), we simply plug it in.

y - y1 = 1/5 * (x - x1)

then we would plug in our x and y

(-4,-3)--> -4 is the x and -3 is the y

y+3=1/5(x+4) double negatives= a positive.

Let me know if you have any questions in the comment ;)

The area of the regular hexagon is 169. 74 ft2. A regular hexagon has an apothem with length 7 feet and an area of 169. 74 feet squared. What is the perimeter, rounded to the nearest tenth? 24. 2 ft 28. 3 ft 48. 5 ft 56. 8 ft.

Answers

The perimeter of the hexagon is the sum of its side lengths

The perimeter of the hexagon is 48.5 ft

The given parameters are:

[tex]\mathbf{Area = 169.74}[/tex] --- the area of the hexagon

[tex]\mathbf{a = 7}[/tex] -- the apothem

Let the perimeter of the hexagon be p.

So, the area is calculated as:

[tex]\mathbf{Area = \frac 12 pa}[/tex]

Substitute values for Area and (a)

[tex]\mathbf{169.74 = \frac 12 \times p \times 7}[/tex]

Multiply both sides by 2

[tex]\mathbf{339.48= p \times 7}[/tex]

Divide both sides by 7

[tex]\mathbf{48.5= p }[/tex]

Rewrite as:

[tex]\mathbf{p = 48.5}[/tex]

Hence, the perimeter of the hexagon is 48.5 ft

Read more about perimeter and areas at:

https://brainly.com/question/1969956

BRAINLIEST
can you help me out :)

Answers

Answer:

DC = 30.47 units

KL = 5.34 units

Step-by-step explanation:

Cos 54 * 20 = AD

Sin 54 = BD/20

Sin 54*20 = BD

BD = 0.809*20 = 16.2

Tang 28 = BD/DC

DC = BD/tang 28

DC = 16.2/0.5317

Tan 51 = JL/14

JL = 1.2349 * 14 = 17.29 units

Cos 72 = KL/JL

Cos 72 * 17.29 = KL

cos 72 = 0.309

KL = 0.309 * 17.29 = 5.34 units

the repayment on a loan was Php 23600. If the loan was for 18 months at 12% interest in year, how much was the principal?

Answers

If the repayment on a loan was Php 23600, the principal amount is equal to Php 131,111.11.

Given the following data:

Interest rate = 12%Simple interest = Php 23600Time = 18 months

Conversion:

12 months = 1 year

18 months = 1.5 year

To calculate the principal amount if the interest rate is 12% a year:

Mathematically, simple interest is given by the formula:

[tex]S.I = \frac{PRT}{100}[/tex]

Where:

S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.

Making P the subject of formula, we have:

[tex]P = \frac{100S.I}{RT}[/tex]

Substituting the given parameters into the formula, we have;

[tex]P = \frac{100 \times 23600}{12 \times 1.5}\\\\P = \frac{2360000}{18}[/tex]

Principal amount, P = Php 131,111.11

Read more: https://brainly.com/question/22621039

How do you find the Remainder when a polynomial in x is divided by a binomial of the form x-r?​

Answers

Answer:

see explanation

Step-by-step explanation:

If a polynomial f(x) is divided by (x - r) then the remainder is f(r)

plzzz need urgent help I will give brainlist

Answers

I just answered the second one on your last published question , so I'm solve the first one :

[tex]2x - y \leqslant 5[/tex]

[tex]x + 2y > 2[/tex]

There are two ways to find the answer I just do it in one of them but let me know if u wanna know the other way .

I'm gonna use the options to see which ordered pair is true in both inequalities which is the answer we r looking for :

Option 1 : ( 1 , - 1 )

[tex]2(1) - ( - 1) \leqslant 5[/tex]

[tex]1 + 2( - 1) > 2[/tex]

So ,

[tex]3 \leqslant 5 \: \: \: \: \: true[/tex]

[tex] - 1 > 2 \: \: \: \: \: false[/tex]

So this is not the correct option ..

_____________________________________________

Option 2 : ( 4 , 1 )

[tex]2(4) - 1 \leqslant 5[/tex]

[tex]4 + 2(1) > 2[/tex]

So,

[tex]7 \leqslant 5 \: \: \: \: false[/tex]

[tex]6 > 2 \: \: \: \: true[/tex]

Nope ...

_____________________________________________

Option 3 : ( 2 , 0 )

[tex]2(2) - 0 \leqslant 5[/tex]

[tex]2 + 2(0) > 2[/tex]

So,

[tex]4 \leqslant 5 \: \: \: \: true[/tex]

[tex]2 > 2 \: \: \: \: \: false[/tex]

Nope....

_____________________________________________

The answer must be Option 4 bcuz there's no more options left but let's check it out :

Option 4 : ( 3 , 2 )

[tex]2(3) - 2 \leqslant 5[/tex]

[tex]3 + 2(2) > 2[/tex]

So,

[tex]4 \leqslant 5 \: \: \: \: \: true[/tex]

[tex]7 > 2 \: \: \: \: true[/tex]

There it is ....

Which visual fraction model correctly shows the shaded region for the expression 1/2 divided by 6?

Answers

Answer: C

Step-by-step explanation: half of 6 is 3 so its C

Solve.

315−14x=−45

Enter your answer in the box.

x =
plzzzzz helpp me

Answers

Answer:

180/7

Step-by-step explanation:

A=2a-3b solve for b PLEASE WIKK GIVE BRAINLY

Answers

Answer:

[tex]\frac{a}{3} =b[/tex]

Step-by-step explanation:

a = 2a - 3b

→ Minus 2a from both sides

-a = -3b

→ Multiply everything by -1

a = 3b

→ Divide both sides by 3

[tex]\frac{a}{3} =b[/tex]

Answer:

b = 2/3a -1/3A

Step-by-step explanation:

A=2a-3b

Subtract 2a from each side

A-2a=2a-2a-3b

A -2a = -3b

Divide each side by -3

A/-3  -2a/-3 = -3b/-3

-A/3 + 2/3a = b

b = 2/3a -1/3A

Nathan has a collection of 4,324 toy cars? Him and his friend Nashon divide the cars into rows on Nathan’s
driveway, and they end up with 46 rows. Each row has the same number of cars in it. How many cars are in each
row?

Answers

4324 / 46 = 94
94 cars

pls solve Solve. 3/4(x−8) =−1/2
x=−26/3
x = 10
x=22/3

Answers

Answer:

i think its the 3rd option

Step-by-step explanation:

i'd'k what it is but you can read it over and over again

(p.s Brainleist?)

Answer:

x=22/3

Step-by-step explanation:

HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

You would multiply 25 x 6 and then add 70. So the answer is 220
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