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

If Jada runs 5 laps around the track in 6 minutes how many minutes per lap is that

Answers

Answer:

1.2 minutes

Step-by-step explanation:

5 laps >> 360 ( 6×60)

1 lap >> x

cross multiplication

5x = 360

x = 360/5

x= 72 second

x = 72/60 = 1.2 minute

A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire

Answers

Answer:

3p to shape and 10 minutes to fire

= 3p + 10

3x10 + 10 = 40 minutes for a batch of 10 pots

therefore D is the correct answer.

The expression is 3p + 10. It takes 40 minutes to shape and fire 10 pots. Therefore, option D is the correct answer.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, a ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln.

There are p pots in a batch.

3p to shape and 10 minutes to fire

So, the expression is 3p+10

To form and fire a batch of 10 pots:

Put p=10 in 3p+10, we get

3x10 + 10 = 40

Therefore, option D is the correct answer.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ6

"Your question is incomplete, probably the complete question/missing part is:"

A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire a batch of 10 pots? A.The expression is 3p. It takes 30 minutes to shape and fire 10 pots.

B.The expression is 3p − 10. It takes 20 minutes to shape and fire 10 pots.

C.The expression is 3(p + 10). It takes 60 minutes to shape and fire 10 pots.

D.The expression is 3p + 10. It takes 40 minutes to shape and fire 10 pots.

Paul was thinking of a number.Paul doubles it and gets a answer of 13.1.What was the orginal number?

Answers

Answer:

See below:

Step-by-step explanation:

So first, Paul has a number that he got before he multiplied it, we can call that [tex]p[/tex], and for his answer after doubling it. we'll call it [tex]n[/tex].

So with this information, we know that [tex]n=13.1[/tex] so we can use that to make an equation.

[tex]p*2=n\\p*2=13.1[/tex]

We can solve it by first dividing on both sides and getting our answer.

[tex]p=\frac{13.1}{2} \\p=6.55[/tex]

Cheers! We get our final answer of 6.55.

Pls look at the photo and identify the extrema pls! I only have one try left!!
A. A and C
B. B and D
C. A,C and F
D. B,D, and F

Answers

A C and F those would be the correct answers girlie

please answer this I’ll mark brainliest and follow

Answers

this is the correct answer

how do I find a slope that does not have zero as a point of origin​

Answers

Answer:

See answer below.

Step-by-step explanation:

Pick any two ordered pairs that is on the given graph line.

The  Slope = (the change in the y-values)/(the change in the x-values) or

Find the value of 15/4 ÷ 5/8

Answers

Answer:6

Step-by-step explanation:

when dividing by a fraction. you can multiply by its reciprical

15/4 *8/5

(15*8)/(4*5)

120/20

If you need to simplify

6

EDIT: answer above got this right before me. for some reason I did 8*5 as 30  :/

Please show all work
No links please

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today! I hope you are having a nice day.

So we can solve this in one single step, I'll start off with solving it.

So first we know that [tex]AB=DF[/tex] and of which [tex]DF[/tex] is the Hypotenuse of triangle [tex]DE F[/tex].

Since the hypotenuse is equal to one of the legs of the 2nd triangle, we cannot use any rule that has Side in it as they are both not really getting us anywhere.

We do know that [tex]<ABC=<DE F[/tex] as they are both 90 degrees.

As we don't have enough proof, these triangles are not congruent as we would need to do/prove rule RHS.

Cheers!

PLZZZ HELPPPP MEEEEEEE​

Answers

Step-by-step explanation:

I can help you, but first make me brainliest

Harley downloads 8 games the total amount of available memory used for the games 57.2 gigabytes

Answers

Answer:

each game takes up 7.15 gigabytes (assuming each game takes up the same amount of storage.

Step-by-step explanation:

57.2 divided by 8 is 7.15

(WILL GIVR BRAINLSIT TO BEST ANSWER)
Find the missing angle measures

Answers

Answer:

[tex]( < 1) + 127 = 180(straight \: line) \\ < 1 = 53 \\ \\ ( < 1) + 100 + ( < 2) = 180(triangle) \\ 53 + 100 + ( < 2) = 180 \\( < 2) = 180 - 153 \\ = 27 \\ \\ [/tex]

[tex]75 + ( < 1) + ( < 2) + ( < 3) = 180 \\ 75 + 53 + 27 + ( < 3) = 180 \\ ( < 3) = 180 - 155 \\ ( < 3) = 25[/tex]

[tex]( < 3) + ( < 4) + 75 = 180 \\ 25 + ( < 4) + 75 = 180 \\ ( < 4) = 180 - 100 \\ ( < 4) = 80[/tex]

please help me :,)

x=-2
x=-1
x=0
x=1
x=2​

Answers

Answer:

x can equal either 0 or 1

Step-by-step explanation:

If we look at the chart, we see that the values of 3^x = 2x+1

when x is 0 and when x is 1

so f(x) = g(x) when x = 0 or 1

how much time is required to change 22Ns momentum by a force of 20N. ​

Answers

Answer:   time is 1.1 sec

Step-by-step explanation:

Answer:

1.1s

Step-by-step explanation:

t=m/F

t=time, m=momentum, F=Force

t=22/20= 1.1s

21 by 36 subtract 2 by 5 multiple 5 by 8​

Answers

Answer:

676

That's my opinion

Step-by-step explanation:

Imsureeeeeeee123

Answer:

0.3333333333

Step-by-step explanation:

21/36 Convert To 0.58333333333

2/5 Convert To 0.4

5/8 Convert To 0.625

Evaluate.
3.23
+52
- 18 ÷6 A.25 B.31 C.40 D.46

Answers

Answer:

d

Step-by-step explanation:

Determine the solution for the following equation: (8x-8)3/2=64

Answers

x=6 1/3 because you must follow PEMDAS

Answer:

X=3

Step-by-step explanation:

Edge2021

What is the slope of the equation Y= 5/4 x - 7/4?

a. -7

b. -7/4

c. 5/4

d. 5

Answers

Answer:

a

Step-by-step explanation:

Answer: c

Step-by-step explanation:

What is the answer?? I need help!!

NO LINKS!!!

Answers

Function

Use "vertical line test"

searched it if you don't know

Step-by-step explanation:

yes, it is a function.

every value of x has exactly one associated (result) value of y.

that several different x have the same result value y, is not a problem.

a problem would be, if there were at least one value of x that would have multiple possible result values. then it would not be a function.

Tyrone has already typed 100 words for an essay and can type 35 words per minute. Vanessa has already typed 120 words and can type 30 words per minute. In how many minutes will Tyrone and Vanessa have typed the same number of words?

Answers

Answer:

cant help you, but thanks for the points

The mean of 7 numbers is 15. When an 8 thnumber is added, the mean decreases to 12. What is the 8 thnumber?.

Answers

Answer:

-9?????????????????????????

Step-by-step explanation:


2) State the area of the given triangle.
9
4
5
12
A) 24 square units
B) 36 square units
48 square units
D) 60 square units

Answers

Answer:

i'm pretty sure its 36 aka b

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

took on k12

18-3(8c+4)=-6(4c-1) show your work

Answers

Answer:

No solution  

Step-by-step explanation:

Solve:

18 + -3(8c + 4) = -6(4c + -1)

Reorder the terms:

18 + -3(4 + 8c) = -6(4c + -1)

18 + (4 * -3 + 8c * -3) = -6(4c + -1)

18 + (-12 + -24c) = -6(4c + -1)

Combine like terms: 18 + -12 = 6

6 + -24c = -6(4c + -1)

Reorder the terms:

6 + -24c = -6(-1 + 4c)

6 + -24c = (-1 * -6 + 4c * -6)

6 + -24c = (6 + -24c)

Add '-6' to each side of the equation.

6 + -6 + -24c = 6 + -6 + -24c

Combine like terms: 6 + -6 = 0

0 + -24c = 6 + -6 + -24c

-24c = 6 + -6 + -24c

Combine like terms: 6 + -6 = 0

-24c = 0 + -24c

-24c = -24c

Add '24c' to each side of the equation.

-24c + 24c = -24c + 24c

Combine like terms: -24c + 24c = 0

0 = -24c + 24c

Combine like terms: -24c + 24c = 0

0 = 0

Solving

0 = 0

No Solution

(Hope this helps can I pls have brainlist (crown)☺️)

3. Write three ratios equal to 4/36

Answers

[tex]{\Huge{\boxed{\mathbb{QUESTION}}}[/tex]

Write three ratios equal to [tex]\frac{4}{36}[/tex]

[tex]{\huge{\boxed{\mathbb{EXPLANATION\:WITH\:REASONING\;}}}[/tex]

This ratio can be represented as [tex]4:36[/tex]

_______________________________

[tex]{\Huge{\boxed{\mathbb{THE\:RATIOS}}}[/tex]

_______________________________

[tex]1:9[/tex] [tex]2:18[/tex] [tex]3:27[/tex]

_______________________________

[tex]{\huge{\boxed{\mathbb{TERMS}}}[/tex]

Equivalent/Equal ratios - Definition of Equivalent Ratio A ratio can be represented as a fraction. The concept of an equivalent ratio is similar to the concept of equivalent fractions. A ratio that we get either by multiplying or dividing by the same number, other than zero, to the antecedent and the consequent of a ratio is called an equivalent ratio.

at a baseball game, henry bought 5 hotdogs and 3 bags of chips for $14.82. scott bought 7 hotdogs and 6 bags of chips for $22.89.

Answers

Dats it ? Where’s the rest like the question
Where’s the rest of the question???

uppose a normal distribution has a mean of 16 and a standard deviation of 4. A value of 26 is how many standard deviations away from the mean

Answers

Answer:

2.5 s. d.

Step-by-step explanation:

Use the formula for calculating z scores:

      26 - 16

z = ------------- = 10/4 = 2.5

           4

Here the value 26 is 2.5 standard deviations above the mean (16).

hat is an equation of the line that passes through the point (4,-6) and has a slope of -3?
1. y=-3x + 14
2. y=-3x + 6
3. y=-3x - 6
4. y = -3x + 10​

Answers

Answer:

2

Step-by-step explanation:

y=-3x+6

The temperature of a mixture changes by −5.2°F between 8 a.m. and 11 a.m. At 6 p.m., the temperature is 14.5°F, which is half what it was at 11 a.m.

What was the temperature at 8 a.m. of the mixture?

Enter your answer as a decimal in the box.

Answers

Answer:

34.2

Step-by-step explanation:

Answer:

K12 Answer

Step-by-step explanation:

14) When simplified, -2(x + 1) - 4(x - 3) is equivalent to

Answers

Answer:

-6x+10

Step-by-step explanation:

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

Distribute

-2x-2 -4x+12

Combine like terms

-6x+10

Answer:

-6x +10

Step-by-step explanation:

First, open the parenthesis by multiplying the number outside to the terms inside:

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

-4(x-3) = -4x + 12

then combine the like terms:

-2x - 4x + 12 - 2 = -6x + 10

For a Brainlist please help me out
+ give accurate explanation

Answers

Answer:

A:Tina's. B: Gabby's

Step-by-step explanation:

Luckly the two people are using the same unit to measure both time (in weeks) and height (in inches), so no conversion needed.

At this point, let's start dealing with the questions.

A. They bought the plants at week 0.

For Tina, we calculate [tex]f(0) = 0+1.5 = 1.5[/tex]

For Gabby, we scout the table till we find week 0 and check the corrisponing value: it's (0; 1) Since 1 is smaller than 0, at start Tina plant was taller.

B. The easiest way would be to stare at Gabby's table for a bit, and notice that each increase is 2 more than the previous, and the progression starts at 1. We can write it as an equation as [tex]g(x) = 2x+1[/tex]. If you confront with Tina's growth, you can tell that Gabby's plant grows twice as fast - the slope is double. Else, you can see that even just after one week, Tina's plant will be 2.5 in tall, while Gabby's outgrew hers already. That's possible only if the plant is growing faster.

work out the m and c for the line 3y+2x=-1

Answers

Answer:

m = -2/3 and b = -1/3

Step-by-step explanation:

Write the equation of this line in slope-intercept form.  Then m = slope and b = y-intercept and the basic equation is y = mx + b.

Solving 3y+2x=-1 for y, we get 3y = -2x - 1, or y = (-2/3)x - 1/3

Here we can easily see that m = -2/3 and b = -1/3.

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