9. Isosceles trapezoid ABCD has legs AB and CD, and base BC.
If AB = 4y - 6, BC = 2y - 3, and
CD = 3y - 4.
Find the value of y. (hint: draw it to help!)

9. Isosceles Trapezoid ABCD Has Legs AB And CD, And Base BC. If AB = 4y - 6, BC = 2y - 3, And CD = 3y

Answers

Answer 1

Therefore , the solution of the given question of triangle comes out to be y=2.

Defining a triangle

You can link any three points in a plane to form triangles, which have three sides and three angles. They were among of the first geometric forms to be examined. Since triangles may be divided into any polygon, regardless of whether it has four, five, six, or n sides, they are very significant.

Here,

Since it is an isosceles trapezoid the length of the two legs (i.e.  AB =  4y - 6 and CD = 3y - 4) are equal.  In other words,

4y - 6  = 3y - 4.

Subtract 2y from each side:

4y - 3y - 6= -4

Now add 10 to each side

=> 4y - 3y - 6 + 4  

=> y - 2 =0

=> y = 2

Therefore , the solution of the given question of triangle comes out to be y=2.

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Related Questions

Hay can some one help me I need the answers

Answers

Answer:

check: 2,3,5,8

Step-by-step explanation:

Find the value of this:

Answers

1 3 /10. That’s the answer because you have to carry over the six bc 2/10 is less then 9/10

Sophia buys 11 bottles of pineapple juice at the corner store for a total cost of $9.90. Assume each bottle of juice is the same price. If c represents the total cost in dollars and cents of the juice for any number, j, of bottles of juice, write a proportional equation for c in terms of j that matches the context. How do I do that

Answers

The proportion equation for c in terms of j is written as c = 0.9j

How to write the equation

In order to find the proportional equation for c in terms of j that matches the context, what you would have to do would be to divide 9.90 dollars by 11 bottles of pineapple juice.

This would tell us the price that one of the bottles of juice is been sold for.

Hence we would have

9.90 / 11

= 0.9

Hence the equation would be: c = 0.9j

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Can someone please help me with this it’s due tomorrow

Answers

Answer:

Table A, Table C, Table B

Step-by-step explanation:

f(x) = -4x - (-5)

f(0) = -4(0) - (-5) = 5

Table A

f(x) = -4x - (-1/5)

f(0) = -4(0) - (-1/5) = 1/5

Table C

f(x) = 4x + (2/5)

f(0) = 4(0) + (2/5) = 2/5

Table B

Answer:

Step-by-step explanation:

can you please help me with this question? :)​

Answers

Answer:

B) 8 sec

Step-by-step explanation:

[tex]h=0[/tex][tex]40t-5t^2=0[/tex][tex]5t(8-t)=0[/tex][tex]8-t=0[/tex][tex]-t=-8[/tex]

So, your answer will be 8, you are right!!

--------------------------------

hope it helps....

have a great day!!

Find the interest rate if $11200 has
a future value of $14345 in 3 years.
Give your answer to 1 d.p.

Answers

Answer:

9.3%

Step-by-step explanation:

Given data

Principal=$11200

Futute value= $14345

Time= 3years

The simple interest expression is given as

A=P(1+rt)

substitute

14345=11200 (1+r*3)

14345=11200+r33600

14345-11200=r33600

3145=r33600

r= 3145/33600

r=0.093

Hence the rate is 9.3%

your uncle is 2 years older than your 3 times your age. a. you are x old. write an expression to describe your uncle's age. b. you are 12 years old. how old is your uncle

Answers

The age of your uncle is modeled by:

y = 2 + 3*x

Evaluating it, we can see that when you are 12 years old, your uncle will be 38 years old.

How to find the equation for your uncle's age?

Let's define the variables: y as your uncle's age and x as your age.

Here we know that your uncle is 2 years older than 3 times your age, so we can write the linear equation:

y = 2 + 3*x

This is the equation we needed to find.

b) If you are 12 years old, then we can write x = 12 in the equation above, then we will get:

y = 2 + 3*12

y = 2 + 36

y = 38

That's the age of your uncle.

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In a middle school orchestra, there are 6 sixth graders, 11 seventh graders, and 8 eight graders. If one student is randomly chosen to complete a solo, what is the probability that a seventh grader is chosen?

Answers

Answer:

11/25

Step-by-step explanation:

total number of students to selet from is 6+11+8=25

number of seventh graders is 11

=11/25

HELP. TRUE OR FALSE?

later surface area means you do not includes the bases of the figure

Answers

Answer:

True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

The total surface area of a solid is the sum of the areas of all of the faces or surfaces that enclose the solid. The faces include the tops and bottoms (bases) and the remaining surfaces. The lateral surface area of a solid is the surface area of the solid without the bases.


Is it possible for two lines with negative slopes to be perpendicular? Justify your answer.

Answers

Answer:

No

Step-by-step explanation:

The slopes of perpendicular lines must always be the negative reciprocal of each other. If one slope is negative, for the other to be perpendicular to it, it must be positive, and vise versa.

Answer:

No

Step-by-step explanation:

Interesting question. Subtle.

The formula for two lines to be perpendicular is m1 * m1 = -1 That means that two lines cannot be minus -- only 1 of them can be. The reason is that if both were minus when multiplied together would give a positive result -- not minus one. For example, suppose you have

y = x + 2  

y = 2x + 3.

These 2 lines will cross and they are not parallel, but neither are they perpendicular. I'm not going to solve this to find out where they cross -- that's not what you are asking.

Now suppose you have two other lines

y = - 2x + 3

y = 1/2 x + 1

These two lines should be perpendicular

-2 * 1/2 =  - 1 which is the condition of perpendicular.

Separate graphs have been uploaded to help you understand.

what 3 numbers multiplied equal 36

Answers

Answer: 3 times 4 times 3

Step-by-step explanation:

Answer:

6 x 3 x 2 = 36

Step-by-step explanation:

The experimental calculation of the specific heat of aluminum was found to be. 156 cal/g °C, but the actual value was given as. 185 cal/g °C. What is the percent error?

Answers

The percentage error is 16%

We know that the formula for the percentage error.

E = (absolute error / actual value) × 100

The formula for the absolute error is:

A = |actual value - experimental value|

A = |V1 - V2|

where V1 is the actual value

V2 is the experimental value

E is the percentage error

A is the absolute error

In this question, the experimental calculation of the specific heat of aluminum = 156 cal/g °C

And the actual specific heat of aluminum = 185 cal/g °C

Using above formula of absolute error,

A = |185 - 156|

A = 29 cal/g °C

And the percent error would be,

E = (absolute error / actual value) × 100

E = (29 / 185) × 100

E = 0.16 × 100

E = 16%

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Help Please Question#8

Answers

Answer:

Step-by-step explanation:

The best answer is C. She solved 4 problems and began working on the 5th one.  The equation is y = x + 4. So when x is 0, the answer is 4. That's when the timing began.

A: not A. A is a subtraction problem, but that is not what is happening. She started with 4 dollars in her change jar and added 1 dollar each week.

B: not B. If she ran 4 miles each week, the equation would be y = 4x.

D: same as B. The equation is 4x again.

Plz help me with this no links

Answers

Answer:

11.7

Step-by-step explanation:

use the distance formula known as pythagorem theorem and plug in the x and y values.

In 33,291 how is the value of the three in the 10,000s place related to the value of the three in the thousands place

Answers

The place value of 3 in 10,000s place is the product of 10 with the place value of 3 in thousands place.

What is Place Value?

Every digit in a number has it's own place value. Place value is the position of a digit in a number.

For example, in the number 3456, 6 is in the ones place, 5 is in the tens place, 4 is in the hundreds place and 3 is in the thousands place.

Given the number 33,291.

Place value of 1 = 1

Place value of 9 = 90

Place value of 2 = 200

Place value of 3 in thousands place = 3000

Place value of 3 in ten thousands place = 30,000 = 3000 × 10

That is, place value of 3 in 10,000s place is the product of ten with the place value of 3 in thousands place.

Hence the place value of 3 in thousands place multiplied to 10 gives the place value of 3 in 10,000s place.

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How do you know if 3 lengths will make a triangle?

Answers

If three lengths can make a triangle by using the Triangle Inequality Theorem which states . that any two triangle sides added together must exceed the third side If the sum of any two sides is equal to or less than the third side, then the lengths cannot make a triangle.

The Triangle Inequality Theorem can be used to determine if a triangle can be formed from three lengths. According to this theorem, any two triangle sides must add up to more than the third side. To put it to use, add up the lengths of the first two sides and compare them to the third side's length. The lengths cannot form a triangle if the total of the first two sides is more than or equal to the third side. The lengths can form a triangle if the product of the first two sides is bigger than the product of the third side.

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Jamal will cut a piece of wood that is 212
2
1
2
feet long into 14
1
4
-foot sections. How many sections will result?
Group of answer choices

Answers

Answer:

no

Step-by-step explanation:

Celia is 2 times Jacque’s age now. Celia was 6 times Jacque’s age 9 years ago. What system of equations can be solved to find their ages?
Group of answer choices

Answers

The answer is 78 I know this as I am smart

HELP HELP PLS HELP I WILL BRAINLIST U

Answers

Answer:

y-3x=-1

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

2x+y-y+3x.=4+1

5x =5

x=1

y=(3×1)-1,

y=3-1

y=2

Answer:

OPTION A ,YES

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

What is the coefficient of x³?

Answers

Let x equal the x³-1 coefficient. Thus, x=1 is the coefficient of the given function.

Coefficient definition.

A number or symbol that multiplies another number or symbol is referred to as a "coefficient" (used as a mathematical variable).

Give a co-efficient example in writing.

A coefficient is a result of multiplying an amount by a variable. 6z, for instance, is short for six times z. 6 is a coefficient since z is a variable. The coefficient is one for variables that don't have a value.

Let x equal the x³-1 coefficient. Thus, x=1 is the coefficient of the given function.

The expression's coefficient is the term multiplied by x³. Since x³ is not a word, the answer is 1.

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The full question should be:

What is the coefficient form of X³ 2 *?

Sarah has £135
gemma has £70
beth has £35

sarah gives some of money to gemma and beth.

the ratio of the amount of moneu sarah, gemma and beth have now is 3:2:1.

How much money did sarah give to gemma???

pls help i so stuck and i need the answer quick!

Answers

Answer:

£10 pounds

Step-by-step explanation:

135+70+35 = 240 pounds between all 3

3:2:1 ratio means 6x represents all of them

6x=240

x=£40 each 1

3(40) =  £120 Sarah

2(40) = £80  Gemma

1(40+ = £40  Beth

Gemma received 10 pounds.

What is the price per ounce of a 32‑ounce box of cereal priced at $4.16?

11 cents / ounce

12 cents / ounce


13 cents / ounce


14 cents / ounce

Answers

Answer:

13 cents / ounce

Step-by-step explanation:

$4.16÷32= $0.13 cents/ounce.

PLS HURRY I HAVE 30 MIN
:)
which shape has the smallest perimeter?
-describe all of your work and how you derived your answers.

Answers

Answer:

Circle.among all shapes with the same area, a circle has the shortest perimeter

Data on the fuel consumption y of a car at various speeds x is given. Fuel consumption is measured in mpg, and speed is measured in miles per hour. Software tells us that the equation of the least‑squares regression line is ^ y = 55. 3286 − 0. 02286 x

Answers

Fuel consumption is 53.957 miles per gallon for a car moving at  a speed of 60 miles per hour using least square Regression .

What is Regression ?

A statistical word for models that evaluate the connections between variables is regression. A single dependent variable Y and one or more independent variables X are studied using a linear regression model.

A technique for employing a goodness-of-fit criterion to fit a curve—not necessarily a straight line—through a collection of points. Regression that is most frequently used is linear regression. Recursion is occasionally used interchangeably with the word regression.

Y = mX + b, where X is the predictor (independent) variable, m is the estimated slope, and b is the expected intercept, is the formula for simple linear regression.

Calculation of Fuel Consumption in 60 miles per hour.

given the least square regression line is

y = 55.3286 - 0.02286x

so, y = 55.3286 - 0.02286 * 60 = 53.957 miles per gallon.

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Find the missing length of the right triangle.

Answers

Hopes this helps:

Answer: 65

Please mark as brainlist if it’s right.

Have a great day.

State the rule. Then write the next two terms. 240,120,60,

Answers

Answer:

The numbers are being divided by 2 each time.

240/2 = 120

120/2 = 60

So the next set of numbers would be:

30, 15 because

60/2 = 30

30/2 = 15

Step-by-step explanation:

Hope it helps!

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

join the meet /vwd-cfbx-dtk


can someone please help me with these two questions I would really appreciate it they go together LINKS WILL GET REPORTED !

Answers

Here is your answer :

Answer 1 :

Volume of the Cylinder = πr²h

Therefore, The Volume of the Cylinder is 50.27 Feet

By Rounding, 50 Units/Feet

Answer 2 :

So, volume is always cubed since you have l x w x h.

A cubic ft is 12 in x 12 in x 12 in = 1728 in3.

35328.78/1728 = 20.44  

20.44 x 7.48 = 152.89

About 153 gallons

HOPE IT HELPS

How do you find the X and y-intercept of a function?

Answers

To find the x-intercept and y-intercept of a function, one can set the x or y value equal to zero and solve for the other variable.

The x-intercept of a function is the point where the graph of the function crosses the x-axis. To find the x-intercept, one can set the y-value equal to zero and solve for the x-value. For example, if the function is y = 2x + 3, the x-intercept can be found by setting y equal to zero and solving for x. In this case, 0 = 2x + 3, which means x = -3/2. So the x-intercept of this function is (-3/2,0).

The y-intercept of a function is the point where the graph of the function crosses the y-axis. To find the y-intercept, one can set the x-value equal to zero and solve for the y-value. For example, if the function is y = 2x + 3, the y-intercept can be found by setting x equal to zero and solving for y. In this case, y = 2(0) + 3 = 3, so the y-intercept of this function is (0,3).

Knowing the x and y intercepts of a function gives an idea of where the graph will start and the behavior of the function in the x and y-axis.

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{what is the area of the shaded region of the parallelogram below?}
plshelp!!

Answers

Answer:

J)  924 cm²

Step-by-step explanation:

the shaded area represents a trapezoid and the formula for area is:

1/2 x height x (sum of parallel bases)

A = 1/2(24)(35+42)

A = 12(77)

A = 924

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