Please Help!!! Examine parallelogram ABCD. Opposite sides AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ have lengths of 4y and y+42, respectively. Determine the value of y and answer the following question. Quadrilateral A B C D with side measures as given in the problem. What is the length of AB¯¯¯¯¯¯¯¯?

Please Help!!! Examine Parallelogram ABCD. Opposite Sides AB And CD Have Lengths Of 4y And Y+42, Respectively.

Answers

Answer 1

Answer:

y = 14

Length of AB = 56 units

Step-by-step Explanation:

==>Given:

Parallelogram ABCD, with the following lengths:

AB = 4y

DC = y + 42

==>Required:

a. Value of y

b. Length of AB

==>Solution:

i. Recall that one of the properties of a parallelogram is that opposite sides are congruent. This implies that side AB is congruent to DC.

To find the value of y, let's set the opposite sides of the parallelogram equal to each other (i.e. AB = DC)

Thus,

4y = y + 42

Subtract y from both sides

4y - y = y + 42 - y

3y = 42

Divide both sides by 3

3y/3 = 42/3

y = 14

ii. Length of AB = 4y

Plug the value of y

Length of AB = 4(14)

Length of AB = 56 units


Related Questions

PLZ PLZ PLZ PLZ HELP HELP HELP HELPFind the area of the shape.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.

Answers

Answer:

3.14

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^2[/tex], where r is the radius. In this circle, the area would therefore be [tex]3.14\cdot 2^2=12.56[/tex]. However, since this is only a quarter circle, you need to divide the area by 4, meaning that the area of this shape is 3.14 square units. Hope this helps!

Answer:

π

Step-by-step explanation:

calculate the the full circle: A = π*[tex]r^{2}[/tex] = π*[tex]2^{2}[/tex] = π*4 (the area of the full circle)

you've got 1/4 or the circle according to the picture, so divide the area of the full circle with 4:

(π*4)/4 = π

Please please help me I literally don’t understand this

Answers

Answer:

n iynoo etindeo soiefijnqaifnqaiwrfofoainjfoiawsfiowoianfqaihjnfoiansn

Step-by-step explanation:

Answer:

AA similarity postulate

Step-by-step explanation:

so if you look at the angle they both have a 90 and the larger triangle is just flipped a different way. because triangles must add up to 180, you have your 90 degree angle on both and the larger one has one degree of 50 meaning its other angle must be 40 in order to add up to 180 and the smaller triangle is the opposite as it has a 40 and 90 degree angle meaning the other must be 50 therefore have Angle Angle similarity

Ayuuuudeeeeen :')
t.t

Answers

Answer: a=4

Step-by-step explanation:

Es facil. La diagonales de un rectangulo se cortan en su punto medio por tanto la diagonal es 10 (el doble de 5).

Por pitagoras entonces:

[tex]a=\sqrt{10^2-8^2}=\sqrt{100-64}=\sqrt{36}=4[/tex]

Which of the following is equivalent to 18-V-25

Answers

Answer:

the correct answer is 18 - 5i.

Step-by-step explanation:

Answer:

18-5i

Step-by-step explanation:

help me please it’s on spheres thankyou

Answers

Answer:

452.3893421 cm^2

452.4 (to one decimal place)

Step-by-step explanation:

Radius (r) - 6cm

The surface area of sphere = 4pi r^2

therefore:

4 * pi * 6^2

4 * pi * 36

144 * pi

452.3893421 cm^2

452.4 (to one decimal place)

Answer:

Surface area = 452,4

Step-by-step explanation:

radius = 6 cm

Surface area = 4πr²

Surface area = 4(3.1416)(6)²

Surface area = 12.5664 (36)

Surface area = 452, 3904

Surface area = 452,4

How can you tell if an expression is a perfect square trinomial? Explain.​

Answers

Answer:

Step-by-step explanation:

A perfect square trinomial is the square of a binomial.

One of the special products and factors formulas that you should know is

(a + b)^2 = a^2 + 2ab + b^2; another is (a - b)^2 = a^2 - 2ab + b^2.

So, if you are given a trinomial and can use either of the above identities to rewrite it as the square of a binomial, you've got it.

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine or cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 2[tex]\sqrt{2}[/tex]

Please help I’m stuck I would really appreciate it if you could help me in geometry <3

Answers

c will prove that b is parallel

a linear function has the same y-intercept as x + 4y= 8 and its graph contains the point (6,3). what is the y intercept?​

Answers

Answer:

The y-intercept b = 9/2

Step-by-step explanation:

A line has equation  x + 4y = 8  or y = (-1/4)x + 2

=> The slope of this line is -1/4

Another line y = ax + b has the slope a = -1/4 and passes (6, 3)

=> 3 = (-1/4)*6 + b

=> 3 = -3/2 + b

=> b = 9/2

=> The y-intercept b = 9/2

Answer: y-intercept = 2

Step-by-step explanation:

Slope-Intercept form of an equation is:  y = mx + b   where

m = slopeb = y-intercept

x + 4y = 8

     4y = -x + 8

       [tex]y=-\dfrac{1}{4}x+\dfrac{8}{4}[/tex]

       [tex]y=-\dfrac{1}{4}x+2[/tex]

The y-intercept (b) = 2

I am not sure why you gave a point that goes through the y-intercept because it does not relate to the question , however, I have shown below the equation of point (6, 3) that goes through b = 2.

y = mx + b

3 = m(6) + 2

1 = 6m

[tex]\dfrac{1}{6}=m[/tex]

Equation: [tex]y=\dfrac{1}{6}x+2[/tex]

In February, Alec had 1,544 visitors to his website. In March, he had 1,386 visitors to his website. What is the percentage decrease of the number of visitors to Alec's website from February to March? If necessary, round to the nearest tenth of a percent.
a. 11.4%
b. 12%
c. 10.2%
d. 89.9%

Answers

Answer:

option c. 10.2%

Step-by-step explanation:

Number of visitors to Alec's website in February = 1,544

Number of visitors to website in March = 1,386

Number of decreasing members = 1544 - 1386 = 158 visitors

decrease percentage = [tex]\frac{\text{number of decreasing members}}{\text{number of previous members}}\times 100[/tex]

                                    = [tex]\frac{158}{1544}\times 100[/tex]

                                    = 10.233 ≈ 10.2%

percentage decrease of the number of visitors is 10.2%.

Option c. is the answer.

Given the equation below what is the value of y-x?
3x+4=-5y+8
9x+11y=-8

Answers

Answer:

[tex]-5[/tex]

Step-by-step explanation:

[tex]3x+4=-5y+8\\9x+11y=-8[/tex]

Rearrange the first equation and substitute it into the second equation.

[tex]3x=-5y+8-4\\3x=-5y-4[/tex]

(as we want 9x instead of 3x we are going to multiply this equation by 3)

[tex]9x=-15y-12\\-15y-12+11y=-8\\-4y=4\\y=-1[/tex]

Rearrange the first equation and substitute in our y value to solve for x.

[tex]3x+4=-5(-1)+8\\3x=5+8-4\\3x=9\\x=3[/tex]

Hence

[tex]y-x=-1-4=-5[/tex]

What’s the answer ??? Help

Answers

Answer:

It's B. (2x+5) (x+4)

Answer:

b

Step-by-step explanation:

2x²+13x+20

You can just try all the answers if you'd like and see which one equals 2x²+13x+20.

Using FOIL for all of them:

a. (2x-5)(x-4) = 2x²-8x-5x+20 = 2x²-13x+20

b. (2x+5)(x+4) = 2x²+8x+5x+20 = 2x²+13x+20

c. (2x+2)(x+10) = 2x²+20x+2x+20 = 2x²+22x+20

d. is obviously not correct since we already have an answer.

Our answer is b. (2x+5)(x+4)

Alberto sanded a wooden floor with his electric sander at a constant rate. Suppose
1
3
he sanded 40 square feet of floor in hours. How large an area would he have
5
sanded in 1 hour?​

Answers

He would have sanded 30 for 30 hours

the measure of angle 1 is twice the measure of angle 2, and angle 1 and angle 2 are linear pair. Find the measure of angle 1.

Answers

Answer:

m<1=120

Step-by-step explanation:

A linear pair adds up to 180 degrees.

So <1+<2=180

Let <2=X, that would make <1=2X because <1 is 2 times more.

So substitute that into the equation.

2x+x=180.

Combine like terms and get 3x=180

Divide both sides by 3 and get x=60.

Substitute that into <1 and get <1=120

Please help me with my question!!

Answers

Answer:

C

Step-by-step explanation:

Equation:

[tex]\frac{x}{-2}+\frac{y}{10}=1\\\\\frac{x*5}{-2*5}+\frac{y}{10}=1\\\\\frac{-5x}{10}+\frac{y}{10}=1\\\\-5x+y=10\\\\y=5x+10[/tex]

To what unit rate does 96/12 simplify?


A.8/1

B.9/1

C.10/1

D.12/1​

Answers

Answer:

A. 8/1

Step-by-step explanation:

96/12=8

12/12=1

Therefore, the answer is 8/1. Have a good day!

8/1 is the unit rate of the fraction 96/12, option A is correct.

The given fraction is ninety six by twelve

96/12

Let us find the unit rate of 96/12

we can divide both the numerator and the denominator by their greatest common divisor, which in this case is 12.

96 divided by 12 is 8

and 12 divided by 12 is 1.

So 96/12 is equal to 8/1

Therefore, the simplified form of 96/12 is 8/1.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ6

how to write 1/4 as a decimal

Answers

Answer:

0.25

Step-by-step explanation:

As a decimal, 0.25

As a fraction, 1/4

As a percentage, 25%

Answer:

0.25

Step-by-step explanation:

1/4

= 1*25/4*25

= 25/100

(Multiplying to both numerator and denominator doesn't change the value)

Now to write 25/100 as a decimal

The decimal point goes two places to the left in 25

(Since 100 has 2 zeroes so two values back)

25/100 = .25

= 0.25

Identify the polynomial. x3y3

Answers

Answer:

It's a Binomial

Step-by-step explanation:

Which is a correct name for the angle shown?

Answers

Answer:

CBA

Step-by-step explanation:

We can name the angle B

Or name the angle ABC

Or name the angle CBA

The vertex of the angle must be in the center

Answer:

The answer is CBA

Step-by-step explanation:

I WILL MARK BRAINLIST!! HURRY HELP!! PEASE THANK YOUU

A rectangle has an area of 345 square millimeters and a base of 15 millimeters. What is the height?

Answers

Given that a rectangle has an area of 345 square millimeters and a base of 15 millimeters, find the height.

Area of a Rectangle = b x h

So, to find the height, we would reverse it by dividing the area by the base.

Work:

345/15 = 23

So, 23 would be our height.

Thus, the height of the rectangle is 23 millimeters.

Answer:

23 millimeters

Step-by-step explanation:

The area of a rectangle can be found using the following formula.

a=b*h

We know that the area is 345 square millimeters and the base is 15 millimeters, but we don't know that the height is.

a=345

b=15

Substitute these variables into the formula.

345=15*h

We want to find out what the height, or h is.  In order to do this, we have to get h by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

h is being multiplied by 15. The opposite of multiplication is division, so divide both sides by 15.

345/15=15*h/15

345/15=h

23=h

Add appropriate units. In this case, the units are millimeters.

h=23 millimeters

The height of the rectangle is 23 millimeters.

I WILL MARK YOU BRAINLIEST!!!!! What is the slope of the linear parent function?

Answers

Answer:

Step-by-step explanation:

The slope would be determined either by a graph or a equation

you didn't put it in the  picture...

Trenton works for a company that is promoting its line of LED lightbulbs. He is selling boxes of the lightbulbs at a local store. A box of 60-watt bulbs costs $7.00, and a box of 100-watt bulbs costs $12.00. During the promotion, Trenton wants to sell more than 100 boxes total and make at least $1,000. The graph and the system of inequalities represent this situation, where x represents the number of boxes of 60-watt bulbs sold and y represents the number of boxes of 100-watt bulbs sold. 7x + 12y ≥ 1,000 x + y > 100 Which solution is valid within the context of the situation?
A. (90,25)
B. (40,64.50)
C. (30,80)
D. (200,-10)

Answers

Answer:

C) 30,80 PLATO

Step-by-step explanation:

This is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh) and if you didn't rule out all others with these two they also have to LOOk like they are in the solution set. Thats how i solve ALL of them and get them correct.

Hopefully i helped and corrected the wrong answer up there!

This question is based on system of linear equation.Therefore, the correct option is ( C ), (30,80)  solution is valid within the context of the situation.

Given:

7x + 12y ≥ 1,000

x + y > 100

We need to determined the solution which  is valid within the context of the situation.

According to question,

A. (90,25)

Put this value in given both equation.

We get,

7(90) + 12(25) ≥ 1,000  

        630 + 300 [tex]\ngeqslant[/tex] 1000

   ⇒ 930 [tex]\ngeqslant[/tex] 1,000

x + y > 100

       90 + 25 > 100

   ⇒ 115 > 100

B. (40,64.50)

7(40) + 12(64.50) ≥ 1,000  

        280 + 774 [tex]\geq[/tex] 1000

   ⇒  1054 [tex]\geq[/tex] 1000

x + y > 100

       40 + 64.50 >100

   ⇒ 104.50 > 100

C. (30,80)

7(30) + 12(80) ≥ 1,000

        210 + 960 [tex]\geq[/tex] 1000

   ⇒  1170 [tex]\geq[/tex] 1000

x + y > 100

        30 + 80 = 110 >100

D. (200,-10)

7(200) + 12(-10) ≥ 1,000

       1400 -120 [tex]\geq[/tex] 1000

   ⇒ 1280 [tex]\geq[/tex]1000

x + y > 100

       200 - 10 >100

  ⇒  190>100

Therefore, the correct option is (C), (30,80)  solution is valid within the context of the situation.because this is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh).

For more details, prefer this link:

https://brainly.com/question/11897796

Simplify the following fraction: 400/4400

Answers

Answer: 1/11 is the simplified form...

Hope this helps, stay safe :D

Answer:

1/11

Step-by-step explanation:

divide top and bottom by 100 = 4/44

divide top and bottom by 4 = 1/11

someone help plz :(((( !!!

Answers

Answer: 9/4a^2|b^3|c^4

Step-by-step explanation:

81/16

Square root(81) = 9

Square root(16) = 4

9/4

Since 4 is the index of the radical, all of the exponents divide by 4

(index 4)a^8 = a^2

(index 4)b^12 = b^3

(index 4)c^16 = c^4

Now put the variables together to get the answer:

9/4a^2|b^3|c^4

Let f(x) = -3x^2 + 6x. Find f(2).

Answers

Answer:

0

Step-by-step explanation:

Substitute x for 2

-3(2)^2 + 6(2)

Order of operations says that exponents are next, so square the 2

-3(4) + 6(2)

multiply

-12 + 12

add

0

Answer:

The correct answer is 0

Hope it helps

Step-by-step explanation:

F(x) is given

So to find f2 we substitute all the variables (x) with the number 2 so it becomes..

f(2)=

-3(2)^2 + 6(2)

= -3(4)+ 6(2)

= -12+12

= 0

What are the solutions to the nonlinear system of equations below? Check all that apply x ^ 2 + y ^ 2 = 4 (x ^ 2)/(2 ^ 2) - (y ^ 2)/(2 ^ 2) = 1

Answers

Answer:

hey did you happen to get the answer for this?

Step-by-step explanation:

The answer is -2.0 and 2.0

Topic: Probability


Only complete question 7.

Answers

Answer:

see below

Step-by-step explanation:

the straight line L has the equation 4y=5x+3. Point A has the coordinates (3,-2) Find the equation of the line straight line that is perpendicular to L and passes through A. Write your answer in the form y-mx+c where m and c are decimals or fractions {3 marks}

Answers

Answer:

y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4

y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{3}{4}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{5}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{4} }[/tex] = - [tex]\frac{4}{5}[/tex] , thus

y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - [tex]\frac{12}{5}[/tex] + c ⇒ c = - 2 + [tex]\frac{12}{5}[/tex] = [tex]\frac{2}{5}[/tex]

y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex] ← equation of perpendicular line

Evaluate [(40 + 5) − 3^2] ÷ 9 ⋅ 2. (1 point)

Answers

Answer:

[(40 + 5) − 32] ÷ 9 ⋅ 2

[(45) − 32] ÷ 9 ⋅ 2

[(13)] ÷ 9 ⋅ 2

[(13)] ÷ 9 ⋅ 2

  _

1.4... ⋅ 2

_

2.8... ←Answer

Step-by-step explanation:

Write four rational numbers between a.2/3 and 4/5 b.-3/2 and 5/3

Answers

Answer:

a. 3/4, 7/9, 15/19, 31/39

b. -1, 0, 1, 4/3

Step-by-step explanation:

Pick any number that you can write into a fraction that lies between the 2.

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