WXYZ is an isosceles trapezoid with legs WX and YZ and a base XY. If the length of WX is 6x+5, the length of XY is 10x+4 and the length of YZ is 8x-3, find the value of x.

Answers

Answer 1
Answer: x = 4

Explanation:

An isosceles trapezoid has two opposite sides (the bases) parallel, and the two other sides (the legs) are of equal length.

So, since the two legs are of equal length, you only need to use the information of the two legs:

Leg WX: 6x + 5

Leg: YZ: 8x - 3

Leg WX = Leg YZ => 6x + 5 = 8x - 3

6x + 5 = 8x - 3

=> 8x - 6x = 5 + 3

=> 2x = 8

=> x = 8 / 2

=> x = 4


Related Questions

write y=(-3/4)x+3 in standard form using integers.
Please help:D will fan and medal

Answers

To make all the values integers, that means we need to remove any fractions. The x variable is multiplied by "-3/4." To make it an integer, multiply both sides of the equation by 4. Therefore,  
4y = -3x + 12  
To check your work, you can divide both sides by 4 and see that -3x/4 = (-3/4)x and 12/4 = 3.

helppppppppppppppppp

Answers

For this case, the first thing you should do is rewrite the function taking into account the properties of the logarithm.
 Then take out common factor of the terms that allow it.
 Finally you must clear the value of n to find the solution.
 Answer:
 n = 1
 See attached image.

Answer: I think its 5/9

Step-by-step explanation:

A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. The barn itself will be used as one of the sides of the enclosed area.



What is the maximum area that can be enclosed by the fencing?

Enter your answer in the box.


ft²

























Answers

Let x represent the length of the side of the pen that is parallel to the barn. Then the area (y) will be
.. y = x(300 -x)/2
This describes a downward opening parabola with zeros at x=0 and x=300. The vertex (maximum) will be found at the value of x that is halfway between those, x = 150.

For that value of x, the pen area is
.. y = 150(300 -150)/2 = 150^2/2 = 11,250 . . . . . square feet.

Answer:

11250ft2

Step-by-step explanation:

i took the test to make sure the other guy was right

Paul, Colin and Brian are waiters.
One night the restaurant earns tips totalling £71.10.
They share the tips in the ratio 2:3:4.
How much more does Colin get over Paul?

Answers

Let 
x-------------------> Paul earns tips
y-------------------> Colin earns tips
z-------------------> Brian earns tips
we know that
x+y+z=£71.10
and
the ratio is 2:3:4
therefore
x/y=2/3     x/z=2/4   y/z=3/4

the question is 
How much more does Colin get over Paul?
Colin------> y
Paul-------> x
y/x=3/2----------> y=x*(3/2)--------> y=1.5x--------> Colin=1.5 Paul

the answer is
Colin did 1.5 times more than Paul

Two boys can paint a fence in 5 hours. How many hours will it take 3 boys working at the same rate to paint the fence?

Answers

I believe the answer to this is 15. because 3x5=15.

I could be wrong

Please answer!!! 1st one to answer with work and accurate answers will be brainliest for 30 points!!!!!!!!!!!!

Answers

Find the decimal equivalent of 2 1/3
2 1/3 = 7/3 = 2.333333

(4x + 9)/ 2.333333 = 3x / 0.5 Now cross multiply
0.5 * (4x + 9) = 3x * 2.333333
2x + 4.5 = 7x Transfer 2x to the right side.
4.5 = 5x
x = 4.5/5
x = 0.9

We'd best check this one
Left hand side.
(4x + 9)/2.333333
(4*0.9 + 9)/2.333333
(3.6 + 9)/2.333333
12.6/2.333333
5.4

Right hand side
3x/0.5
= 3*0.9/0.5
= 2.7/0.5
= 5.4

And it checks.

Write true or false. The figure has rotational symmetry

Answers

true although it looks irregular but if it is regular this statement is true

this problem is true

Fill in the table, then graph f(x)=-2x-4

Answers

The attached graph shows a table. If it doesn't have your values, it is because you didn't share them with us.

Given the following triangles, what additional information is required in order to know that the triangles are congruent because of the ASA congruence criteria?

Answers

Answer: < DCQ ≅ <DCE.


Step-by-step explanation: We are given a composite figure of two triangles CDE and CDQ.

In the shown composite figure we can see:

<CDQ ≅ < CDE   : Given

CD are common sides of both triangles

Therefore, by reflexive property

CD = CD

We need to apply ASA congruence criteria.

That is Angle Side Angle congruence criteria.

We already got One angle is congruent and one side on both triangles.

We just need one-one more angles in both triangles those would be congruent.

Therefore,

We could choose < DCQ ≅ <DCE.

Answer:

<DCQ <DCE  

Step-by-step explanation:

ODYSSEY

Russel throws a soda from the balcony of his house to his friend Jones in the pool. If the soda is released 20 feet from the ground, and is thrown with a downward velocity of 2 ft/s, how long till the soda hits the pool, ignoring air resitance? Use the formula , where h is the height of the soda in feet and t is the time in seconds since Russel threw it. Round your answer to the nearest tenth.

A. 0.5 seconds B. 0.8 seconds C. 1.1 second D. 1.6 seconds

Answers

Using the formula S = ut +1/2at²
S=h= 20ft, u = 2ft/s, and a = 10m/s²
Thus; 20 =2t + 20t²
Therefore; 20t²+2t-20=0
Solving the equation quadratically for the value of t,
we get; t = 1.057 or t=-1.182
But t can not be negative,
 Therefore, t= 1.1 seconds (to the nearest tenth)


Answer:

C. 1.1 seconds

Step-by-step explanation:

The formula to use is :

[tex]h=ut+\frac{1}{2}at^{2}[/tex]

Where: h is the height of 20 ft, u is the velocity of 2ft/s and a is the gravitational acceleration of 9.8m/s². The acceleration should be converted to ft/sec² to simplify calculations. The value is then 32.15ft/sec².

Substituting these values into the equation:

[tex]20=2t+0.5*32.15t^{2} \\20=2t+16.075t^{2} \\0=16.075t^{2}+2t-20[/tex]

Using the quadratic formula, t can be solved.

a = 16.075, b = 2, c = -20:

[tex]t=\frac{-b+-\sqrt{b^{2}-4ac} }{2a} \\t=\frac{-2+-\sqrt{2^{2}-4(16.075)(-20)} }{2(16.075)}\\t=\frac{-2+-35.92}{32.15}\\t=1.055 \\OR\\t=-1.179[/tex]

The answer cannot be negative, therefore the answer is t = 1.055 ≈ 1.1seconds

since my uncles farmyard appears to be overrun with dogs and chickens. i asked him how many of each he had. he responded that his dogs and chickens had a total of 148 legs and 60 heads. how many dogs and chickens are there on my uncles farm?

Answers

Assuming that all the animals are dogs, the number of legs there are would be 240.
60*4=240 legs
240-148=92 legs
All the 92 legs belong to the chickens, so there are 46 chickens.
Since there are 46 chickens,
60-46=14 dogs
Final answer:

There are 14 dogs and 46 chickens on your uncle's farm.

Explanation:

To solve this problem, we can set up a system of equations. Let x be the number of dogs and y be the number of chickens on your uncle's farm.

The number of legs equation can be written as: 4x + 2y = 148 (since dogs have 4 legs and chickens have 2 legs).

The number of heads equation can be written as: x + y = 60 (since both dogs and chickens have 1 head).

We can solve this system of equations by substitution or elimination. Let's use elimination:

Multiplying the second equation by 2, we get 2x + 2y = 120.

Subtracting the new equation from the first equation, we can eliminate the 2y term: (4x + 2y) - (2x + 2y) = 148 - 120. Simplifying, we have 2x = 28.

Dividing both sides of the equation by 2, we find that x = 14. Substituting this value back into the second equation, we find that 14 + y = 60. Solving for y, we get y = 46.

Therefore, there are 14 dogs and 46 chickens on your uncle's farm.

What is the value of n?

Enter your answer in the box.

n =
cm

Answers

If two chords intersect each other inside a circle, the products of their segments are equal.

3n = 6*4
3n = 24
n = 24/3
n = 8

Answer:

8 is the answer you are looking for

Step-by-step explanation: not needed

A baker is making dough for bread.the number of cups of flour he uses is proportional to the number of loaves he makes. The baker uses 18 3/4 cups of flour to make 5 loaves if bread. Which of the following correctly represents this proportion? Select all that apply.

Answers

FOUND YOUR COMPLETE QUESTION IN ANOTHER SOURCE.
 SEE ATTACHED IMAGE. 
 For this case, the first thing to do is find the slope of the line:
 m = (18 3/4) / (5)
 m = (18.75) / (5)
 m = 3.75
 m = 3 3/4
 Then, the equation of the line will be:
 f = (3 3/4) b, where f is the number of cups of flour and b is the number of bread loaves.
 Answer: 
 option a.


If a cylinder has a surface area of 59 square inches and its radius
is 2.1 inches, how tall is the cylinder in inches?
Round to the nearest tenth.

Answers

123.9 inches i think
_______________________________________________________________

Answer:

5.8

Step-by-step explanation:

look at the picture below// 50 points // please help:((

Answers

A parabola is the locus of points equidistant from the focus and directrix. This means the distance from the green point is the same to the focus as it is to the directrix. The appropriate choice is ...

... B. 7

Hi there!


I believe your answer would be B. 7. I say this because the focus is the same distance away from the green point as the directrix is away from the point.


Hope this helps!


- Chris

Find three consecutive integers such that the sum of the first and twice the second is 8080 minus three times the third.

Answers

The answers are the three terms 17, 18, and 19

helpppppppppppppppppppppppppppppppp

Answers

The equation is [tex]y=(x-7)^2+7[/tex].

We are looking for a function with a vertex above the x-axis and a function that opens upward (has coefficient a > 0).

The first function opens downward and intersects the x-axis. The second function has a vertex below the x-axis. The third function satisfies our requirements. The fourth function has a vertex on the x-axis.

We can solve this algebraically with the knowledge that the real solutions of a quadratic are its x-intercepts. If there are no x-intercepts (because it lies entirely above or below the x-axis), then there are no real solutions. This is true when the discriminant [tex]b^2-4ac \ \textless \ 0[/tex]. You can see that from the quadratic formula. This holds true for both answers A and C, so to find the correct one, we remember that when the coefficient a of the [tex]x^2[/tex] term is positive, the graph opens upwards, so we choose C.
Answer:
choice c is the correct one

Explanation:
The equation that lies completely above the x-axis should be the one having its y-values greater than zero.

squaring a number will certainly give a positive value.
looking at the choices:
choice a: might give a -ve value if the squaring gives a number greater than 7
choice b: might give a -ve value if the squaring gives a number less than 7
choice c: will always be positive
choice d: might give a zero at x=7

Daniel puts $80,000 in an account that earns .6% interest compounded annually how much interest does he earn after 15 years

Answers

80000(1+(.06/1)^(1x15)
PEMDAS
80000(1.06)^15
191724.66(rounded up)

Daniel can earn $7510 interest he get after 15 years of investment.

What is compound interest?

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Here, principal = $80,000

         Time = 15 years

         Rate of Interest = 0.6% compounded annually

We know that,

       [tex]A = P(1+i)^n[/tex]

      [tex]A = 80000(1 + 0.006)^{15}[/tex]

      [tex]A = 80000 X 1.006^{15}[/tex]

      A = 80000 X 1.094

      A = 87,510.41

Interest = Amount - Principal

             = 87510 - 80000

             = $ 7,510

Thus, Daniel can earn $7510 interest he get after 15 years of investment.

Learn more about Compound Interest from:

https://brainly.com/question/14295570

#SPJ2

Explain how employee benefits affect total employment compensation

Answers

Final answer:

Employee benefits, such as health insurance and retirement plans, add value to the total compensation received by workers. They account for about one-quarter of average hourly compensation, contributing to the overall attractiveness of the compensation package and promoting employee well-being and job satisfaction.

Explanation:

Employee benefits affect total employment compensation by adding to the overall value of the compensation package. They provide additional forms of remuneration beyond wages and salaries, such as health insurance, retirement plans, employer payments to Social Security, unemployment and worker's compensation insurance, and other benefits like Medicare.

These benefits contribute to the total compensation received by workers, accounting for about one-quarter of the average hourly compensation. So, for example, if a worker's wages are $20 per hour, the total compensation per hour might be around $26 when considering the value of benefits.

By providing employee benefits, employers aim to attract and retain talented employees, promote employee well-being, and enhance job satisfaction and productivity. These benefits play a crucial role in improving the overall compensation package and incentivizing employees to stay with the company.

Final answer:

Employee benefits, such as health insurance and retirement plans, greatly impact total employment compensation. These benefits, in addition to wages and salaries, make up the overall compensation received by workers.

Explanation:

Employee benefits have a significant impact on total employment compensation. These benefits include things like health insurance, retirement plans, employer payments to Social Security, and unemployment and worker's compensation insurance. When these benefits are added to wages and salaries, they make up the total compensation received by workers.

For example, if a worker's hourly wage is $20 and they receive $5 per hour in benefits, their total compensation per hour is $25. This means that employee benefits increase the overall value of compensation that workers receive.

Employee benefits are important for attracting and retaining employees, as well as promoting employee well-being and job satisfaction. They can also have an impact on the cost of labor for employers, as they must budget for these benefits in addition to wages and salaries.

A polynomial expression is shown below. (mx + 8) (2x − 4)


The expression is simplified to: −6x^2 +28x − 32

What is the value of m?

A. -4

B. -3

C. 3

D. 4

Answers

the answer is B. -3

mx x 2x = -6x^2
2mx^2 = -6x^2
2m = -6
m = -3

11) Carlos wants to mix granola and cranberries together to make trail mix. Granola costs $3 per pound and cranberries cost $5.50 per pound. Carlos is willing to spend $29 and wants to make 8 pounds of trail mix. Which system of equations could Carlos use to figure out how many pounds of granola (g) and cranberries (c) she should buy?

Answers

Let
g----------------> pounds of granola------------> costs $3 per pound
c----------------> pounds of cranberries-------> cost $5.50 per pound

we know that
3g+5.5c=29---------------------------------------------------------> 3g+5.5c=29
and
g+c=8--------> multiplying by -3 all the expression---------> -3g-3c=-24
                                                                                   ------------------------
                                                                                          0g+2.5c=5
2.5c=5---------> c=2
g+c=8----------> g=6

the answer is

The system of equations 
3g+5.5c=29
g+c=8

Carlos should buy 2 pounds of cranberries and 6 pounds of granola




Answer:

3g+5.5c=29

g+c=8

Minimun commun multiple of 1,2,3,8

Answers

1
2
3
2*4(from here we take only 4 because 2 is already there)

1*2*3*4=24
Minumum Common Multiple is also the Least Common Multiple
List out multiples

1.) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, etc
2.) 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, etc
3.) 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. etc
8.) 16, 24, 32, etc

The LCM is 24
or
The Minimum Common Multiple is 24

WILL GIVE A BRAINLEST

What is the value of [-1.1]
–2
–1
0
1

Answers

Final answer:

If the brackets in the expression “[-1.1]” are interpreted as the floor function, the value is “-2”, because the floor function always rounds a number down to the closest lesser whole number.

Explanation:

The question appears to be asking for the value of the mathematical expression “[-1.1]”. However, the notation is a bit unclear. If the brackets denote the floor function, which rounds a number down to the nearest whole number, then the value of “[-1.1]” is indeed “-2” because -1.1 is rounded down to -2.

The floor function basically chops off all decimal points and moves a number to the next lower integer if it's not already an integer. Hence, the correct answer based on the interpretation of the floor function is “-2”.

Find the area. a trapezoid with the top part 10.5 the inside side is 7 and the bottom is 34.5 a. 241.5 mm2 c. 157.5 mm2 b. 159.5 mm2 d. 315 mm2

Answers

A=1/2 (10.5+34.5)7
A=1/2(45)7
A=1/2(315)
A=157.5 mm2
so your answer is c

hope this helps!!!
plz mark brainliest!!
have a good day!!

Consider △DFE. What are the inputs or outputs of the following trigonometric ratios? Express the ratios in simplest terms.

sin(?) = 4/5
cos(F) = ?
tan(D) = ?

Answers

Answer:
sin F = 4/5
cos F = 3/5
tan D = 3/4

Explanation:
First, we have sin an angle = 4/5
In a right-angled triangle:
sin theta = opposite / hypotenuse
This means that in triangle DFE:
The hypotenuse = 5 units
one of the sides = 4 units
Use Pythagoren theorem to get the other side as follows:
hypotenuse^2 = side1^2 + side2^2
5^2 = 4^2 + side2^2
side2^2 = 9
The second side of the triangle = 3 units

The special trig functions are as follows:
sin theta = opposite / hypotenuse
cos theta = adjacent / hypotenuse
tan theta = opposite / adjacent

From the attached figure and based on the calculations above:
sin F = 4/5
cos F = 3/5
tan D = 3/4

Hope this helps :)

Answer:

Sin(F)=4/5

Cos(F)=3/5

Tan(D)=3/4

Step-by-step explanation:

Brianna bought an assortment of 16 apples. A medium-sized apple weighs around 5.2 ounces. Which response gives the best estimate for the cost of the apples?

Answers

16 apples• 5.2 ounces/1 apple•1 pound/16 ounces•$1.29/1pound =6.71=7.00

Answer:

$7.00

Step-by-step explanation:

16 apples ⋅ 5.2 ounces1 apple ⋅ 1 pound16 ounces ⋅ $1.291 pound ≈ $7.00

The total​ cost, after using a 55cents​-off ​coupon, is ​$3.30. If c represents the cost of the fruit in dollars per​ pound, what equation could you use to find the value of​ c?

Answers

T= total cost= $3.30
c= cost of fruit per pound
x= # of pounds of fruit purchased

EQUATION
T= (c)(x) - $0.55 coupon

to find c, substitute $3.30 total for T
$3.30= cx - $0.55
add $0.55 to both sides
$3.85= cx
divide both sides by x
$3.85/x= c

Hope this helps! :)

Factor by grouping 5x^2 -40x + 3x +24

Answers

add -40x and 3x to get -37x
5x² - 37x + 24 is your Answer

simpliy completely 4m^3/3m^2n * 9n^2/30m^2n^2
2n / 3 m

2 m / 5 n

2 / 3 m n

2 5 m n

Answers

Hey there!

(KEY POINT HERE) 

[tex]\searrow\searrow\searrow\searrow\searrow\searrow\searrow\searrow\searrow\searrow \ \swarrow\swarrow\swarrow\swarrow\swarrow\swarrow\swarrow\swarrow\swarrow \\ \\ \boxed{(((((4* \frac{(M^3)}{3} *(m^2))*n)*9)* \frac{n^2}{30} *m^2)*n^2}[/tex]

Now that we have considered that equation above, we would now understand what is clear to be your (correct answer).

Your correct answer to this question listed above would be (option B).

[tex]\boxed{\boxed{2 m / 5 n}}[/tex]

I hope this helps you!
the answer is 2/5mn

see attached picture for steps:

Bryan's puppy has been gaining weight for the last year. The graph shows data about the puppy's weight over time.

Answers

I would say 25 pounds because the graph displays a proportional relationship( a straight line) so the next point in the line would be 25 pounds.
I hope this helped! :-)

Answer:

Option 2. 25 pounds

Step-by-step explanation:

As per graph weight gain of Bryan's puppy is represented by a linear function which is a straight line.

Therefore equation of the line will be y = mx + c

to calculate the value of m we will take two points (endpoints) on the line (0, 0) and (50, 6)

So m = (50-0)/(6-0) = 50/6 = 8.33

since this passes through (0, 0) so c = 0

Equation will be y = 8.33x

Now we have to get the value of y (weigh of puppy) at x = 3.

y = 8.33×3 = 24.99 ≈ 25 lb.

Option 2 is the answer.

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