URGENT!

Find the value of x for which ABCD must be a parallelogram.




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URGENT!Find The Value Of X For Which ABCD Must Be A Parallelogram.39141

Answers

Answer 1

Answer and Step-by-step explanation:

To find the value of x, set the sides BC and AD equal to each other (we can do this because we are told that the figure is a parallelogram, and those sides are congruent as stated in the properties of a parallelogram).

16x - 15 = 30 + 11x

Subtract 11x from both sides of the equation.

5x - 15 = 30

Add 15 to both sides of the equation.

5x = 45

Divide both sides of the equation by 5.

x = 9

So, the answer is 9, which is equal to x.

#teamtrees #PAW (Plant And Water)

Answer 2

Answer:

x = 1.67

Step-by-step explanation:

We know that in a parallel, opposite sides are parallel and congruent, therefore we can solve for x, by:

(BC) = (AD)

16x - 15 = 30 - 11x

(+11x) + 16x - 15 = 30

27x - 15 = 30

27x = 45

x = 45/27

x = 1.67

Therefore, x = 1.67

Hope this helps!


Related Questions

Rico has 2 plants. He buys 13 more.
If he puts 3 plants in each row, how many
rows will he have?

Answers

Total number of plants,

= 13 + 2 = 15

Number of plants in a row = 3

Hence, Total Number of rows,

= 15 ÷ 3

= 5

Therefore, he will have five rows.

Estimate 78.8X6.8 I neep help

Answers

Answer:

B. 500

Hope this helps!! :D

Answer:

The answer is B

explanation:

78.8 is nearly 80 and 6.8 is nearly 7

so an estimate would be 80 × 7

= 560

Which scatterplot shows a negative correlation?

Answers

Answer:

Plot B

Step-by-step explanation:

Plot B has a negative slope.

A rectangular garden has an area of 37 square miles. If its length is 28 miles, what is its width?

Input your answer as a fraction.

Answers

Answer:

[tex]\frac{37}{28}[/tex] miles

Step-by-step explanation:

Use the area formula, A = lw, where l is the length and w is the width.

Plug in the area and length into the formula, and solve for w:

A = lw

37 = 28w

37/28 = w

So, as a fraction, the width of the garden is [tex]\frac{37}{28}[/tex] miles

Answer:

37/28 =w

Step-by-step explanation:

Area for a rectangle is given by

A = l*w

Substitute in what we know

37 = 28*w

Divide each side by 28

37/28 = 28w/28

37/28 =w

The diagonal and the longer side of a rectangle make an angle of 43.2°. If the longer
side is 12.6cm. Find the length of the shorter Side.​

Answers

Answer: The shorter side = 11.83 cm

Step-by-step explanation:

The diagonal of a rectangle creates a right triangle with its adjacent sides.

Given: The diagonal and the longer side of a rectangle make an angle of 43.2°. If the longer  side is 12.6cm.

According to trigonometry,

[tex]\tan x=\frac{\text{Side opposite to x}}{\text{Side adjacent to x}}[/tex]

[tex]\tan 43.2^{\circ}=\frac{\text{Shorter side}}{12.6 }\\\\0.93906251=\frac{\text{Shorter side}}{12.6}\\\\ \text{Shorter side}=12.6\times 0.93906251\\\\=11.832187626\approx11.83\ cm[/tex]

Hence, the shorter side = 11.83 cm

A circular fountain has a radius of 9.4 feet. Find its diameter and circumference to the nearest tenth.

Please Help.

Answers

Answer:

diameter = 18.8 ft

circumference = 56.1 ft

Step-by-step explanation:

diameter = 2 x radius = 2 x 9.4 = 18.8 ft

circumference = 2[tex]\pi[/tex]r = 2[tex]\pi[/tex](9.4) = 56.061 rounded to the nearest tenth is 56.1

A population of bacteria starts 8 and is doubling every 12 hours. What equation
represents how many bacteria there will be after x days?

Answers

Answer:

a = 8 * (2)^(2x)

Step-by-step explanation:

There are 2 12hours periods in a day

a = 8 * (2)^(2x)

You have 3/4 a cup of flour in your cupboard. A recipe for bread calls for 1/5 cup of flour. How much flour would you have left if you made the bread?​

Answers

Answer:

11/20 cups left

Step-by-step explanation:

first, we need to convert 3/4 and 1/5 into fractions with common denominators

so we would have:

15/20 and 4/20

now we need to subtract the fractions to get the difference

so we would do:

15/20 - 4/20 = 11/20

and that's the answer

hope that helped

Answer:

11/20 cup

Step-by-step explanation:

3/4 - 1/5

use common denominator of 20

15/20 - 4/20

11/20 cup

what is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?​

Answers

Step-by-step explanation:

We can set up the ration of the radian angle θ in your problem in terms of degrees given as the ratio: (Θ/2·pi) = (72/360), solving for Θ we get Θ = 1.26 radians. Then for the arc length s = Θ·r using this value gives s = 1.26·4 = 5.04

Write the fraction 2/3 as the sum of unit fraction

Answers

9514 1404 393

Answer:

  1/2 + 1/6

Step-by-step explanation:

  2/3 = 1/2 + 1/6

__

The sum of unit fractions is called an Egyptian Fraction. There are several different algorithms for finding such a sum. Here, we are starting with the form ...

  2/p

where p is a small prime. Then the sum can be written as ...

  1/((p+1)/2) +1/(p(p+1)/2) = 1/(4/2) +1/(3(4/2)) = 1/2 + 1/6

A different algorithm is used when p is a composite number.

__

Using the "greedy" algorithm, we can find the largest unit fraction less than 2/3 to be ...

  1/ceil(3/2) = 1/2

Then the largest unit fraction in the remainder is similarly found. The remainder is ...

  2/3 -1/2 = 1/6 . . . . already a unit fraction

So, the sum is ...

  2/3 = 1/2 + 1/6

Use the box method to distribute and simplify (4x + 6)(- 6x ^ 4 - 4x - 6x ^ 3 + 6 + 4x ^ 2) . Drag and drop the terms to the correct locations of the table.

Answers

Answer:

=  -24x^5 -60x^4 - 20x^3 + 8x^2+36

Step-by-step explanation:

Given the expression

(4x + 6)(- 6x^4 - 4x - 6x ^ 3 + 6 + 4x ^ 2)

Expand

4x(- 6x^4 - 4x - 6x ^ 3 + 6 + 4x ^ 2)+6(- 6x^4 - 4x - 6x ^ 3 + 6 + 4x ^ 2)

= -24x^5 -16x^2-24x^4+24x+16x^3 - 36x^4 -24x-36x^3+36+24x^2

= -24x^5 -24x^4 - 36x^4+16x^3-36x^3 -16x^2+24x^2+24x-24x+36

=  -24x^5 -60x^4 - 20x^3 + 8x^2+36

This gives the required expression

how do you prove a theorem?​

Answers

Answer:

Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction.

Step-by-step explanation:

Answer:

There are many different ways to go about proving something, discuss 3 methods: direct proof, proof by contradiction, proof by induction. Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction

hope this helps

have a good day :)

Step-by-step explanation:

give the other person brainliest pls

(-6 - 4) divided by 2 simplified

Answers

Answer:-5

Step-by-step explanation:

Hello!

-6-4/2 = -10/2=-5

Hope this helps, have a great day!

The answer is -5 :)

I REALLY NEED HELP PLS I NEED THIS DONE TODAY!!! JUST LOOK AT THE PICTURE!!!

Answers

The correct answer is 100 square inches
100 square inches. All sides of a square are EQUAL. Knowing that, they gave you both sides and you just multiply.

Which ones to select?

Answers

Answer:

<5, <1

Step-by-step explanation:

.............

........

A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?

Answers

Answer:

The probability that the month starts with the letter J or the letter M is 41.66%.

Step-by-step explanation:

Given that a month of the year is chosen at random, to determine what is the probability that the month starts with the letter J or the letter M, the following calculation must be performed:

January - March - May - June - July = 5 months

(5/12) x 100 = X

0.4166 x 100 = X

41.66 = X

Therefore, the probability that the month starts with the letter J or the letter M is 41.66%.

Answer:

5/12

Step-by-step explanation:

Months that start with the letter M are March and May

Months that start with J are January, June, July

So, in total the months that start with J and M are 5 in number.

Total number of months = 12

Therefore the probability = 5/12 or 0.416 (bar on 6)

Hope u understood

Please mark as brainliest

Thank You

-2x +9y=8
x=y+3
Step by step

Answers

I am assuming that finding the x and y value is the goal for this question since it is not clarified.

So x = y + 3 is a equation we can plug in for x to find the y value.

-2(y+3) + 9y = 8

-2y - 6 + 9y = 8

7y - 6 = 8

7y = 15

y = 15/7

Plug in for the y value since that is now determined to find out x value.

x = 15/7 + 3

x = 15/7 + 21/7

x = 36/7

The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given sin 0 = 73, find cos 0.
27
cos 6 = 2
Simplify the fraction.

Answers

Answer:

1/2

Step-by-step explanation:

According to pythagoras theorem;

(sinx)²+(cosx)² = 1

Given that sinФ = √3/2

Substitute into the formula

(√3/2)²+(cosx)² = 1

3/4+(cosx)² = 1

(cosx)² = 1 - 3/4

(cosx)²  = 1/4

cos x = √1/4

cos x = 1/2

Hence the value of cosФ is 1/2

Rewrite as an exponential equation.
Log3 1/81 = -4

Answers

Answer:

3`⁴ = 1/81

Step-by-step explanation:

________________

LaVilla is a village in the Italian Alps. Given its enormous popularity among Swiss, German, Austrian, and Italian skiers, all of its beds are always booked in the winter season, and there are, on average, 1562.664 skiers in the village. On average, skiers stay in LaVilla for 17.8 days. How many new skiers are arriving - on average - in LaVilla every day

Answers

Answer:

87.79

Step-by-step explanation:

Given :

Number of skiers in the village = Inventory = 1562.664

Stay time in LaVilla = 17.8 days

The number of new skiers arriving on average per day is :

According to Little's theorem :

Inventory / flow time

1562.664 / 17.8

= 87.79

Hence, 87.79 arrive LaVilla per day on average

(10 points) help plz

Answers

Answer:

(c) No; There is an exponent on a variable x that is not a whole number

Step-by-step explanation:

Given

[tex]f(x) = x^2 - \sqrt[5]{x}[/tex]

Required

Determine if the function is a polynomial function of not

A polynomial function is represented as:

[tex]f(x) =ax^n + bx^{n-1} + cx^{n-2}+........+z[/tex]

Where n is an integer and the least power is 0

So, we have:

[tex]f(x) = x^2 - \sqrt[5]{x}[/tex]

The degree of x is [tex]\frac{1}{5}[/tex] ----- i.e. not an integer

Hence, the function is not a polynomial

1)An octagon can be divided into 8 congruent triangles with base angles that are 67.5°. This octagon has a side length that is 8 cm.

2)What is the area of each triangle?

3)What is the area of the octagon?

4) Use your work from above to derive a generic formula for any octagon with side length that is n units.

Answers

Answer:

(a) [tex]Area = 14.7824cm^2[/tex]

(b) [tex]Area = 118.2592cm^2[/tex]

(c) [tex]Area = 4nh[/tex]

Step-by-step explanation:

Given

[tex]\theta = 67.5[/tex]

[tex]b= 8cm[/tex] --- base

[tex]n = 8[/tex] --- triangles

Solving (a) The area of each triangle

First, calculate the height (h) of each triangle using:

[tex]\sin(67.5) = \frac{h}{b/2}[/tex] --- i.e. we consider half of the triangle

[tex]\sin(67.5) = \frac{h}{8/2}[/tex]

[tex]\sin(67.5) = \frac{h}{4}[/tex]

Solve for h

[tex]h =4*\sin(67.5)[/tex]

[tex]h =4*0.9239[/tex]

[tex]h =3.6956[/tex]

The area of each triangle is:

[tex]Area = \frac{1}{2} *b * h[/tex]

[tex]Area = \frac{1}{2} *3.6956 * 8[/tex]

[tex]Area = 14.7824cm^2[/tex]

Solving (b): Area of the octagon

This is calculated as:

Area = 8 * area of 1 triangle

[tex]Area = 8 * 14.7824cm^2[/tex]

[tex]Area = 118.2592cm^2[/tex]

Solving (c): Area of octagon of side length n

In (a), we have:

[tex]Area = \frac{1}{2} *b * h[/tex]

Replace b with n

[tex]Area = \frac{1}{2} *n * h[/tex]

Multiply by 8 (the sides) to get the area of the octagon

[tex]Area = 8 * \frac{1}{2} *n * h[/tex]

[tex]Area = 4nh[/tex]

Please help! And hurry

Answers

Answer:

the answer is b

Step-by-step explanation:

Answer:

b: 78.5cm²

Step-by-step explanation:

answer is b my friend

Please show steps on how to solve
log7 -2b-9=-6

Answers

Answer: b= - -log10(7)+3/2

Step-by-step explanation: log 10 (7) -2b-9=-6 : b= - -log10(7)+3/2 (Decimal : b = -1.07745...)

so these are the steps how I got it I did log 10 (7)-2b-9=-6 subtract log 10 (7) -9 from both sides log 10 (7)-2b-9-(log10(7)-9)=-6-(log 10 (7) -9)

Simplify -2b= -log10(7)+3

Divide both sides by -2  -2b/2= - log 10(7)/-2+ 3/-2 if you simplify it should give you b= - -log10(7)+3/2 that should be your answer but i'm not sure those I think that's how you do it let me know if you got it right bye!

rearrange 3f+2g+3h+g-h-f​

Answers

Answer:

2f+3g+2h

hope this helps

have a good day :)

Step-by-step explanation:

c. Solve 1/2 x - (x+3)<1/3(x-1)​

Answers

Answer: x = 28

Step-by-step explanation:

Let's solve your equation step by step!

3/8x + 15/2 = 18

Step 1: Subtract 15/2 from both sides.

3/8x + 15/2 - 15/2 = 18 - 15/2

3/8x = 21/2

Step 2: Multiply both sides by 8/3

(8/3) * (3/8x) = (8/3) * (21/2)

Step 3. Calculate

x = 28

Find an equation of the largest sphere with center (10, 8 , 7) that is contained completely in the first octant.

Answers

Answer:

The equation of the largest sphere with center (10, 8, 7) that is contained completely in the first octant is [tex](x-10)^{2} + (y - 8)^{2} + (z - 7)^{2} = 49[/tex].

Step-by-step explanation:

A sphere is described by its radius and center, the radius of the largest sphere contained in the first octant are determined by the least distance of the center with respect to an orthogonal axis, that is:

Distance regarding x-axis:

[tex]d_{x} = 10 - 0[/tex]

[tex]d_{x} = 10[/tex]

Distance regarding y-axis:

[tex]d_{y} = 8 - 0[/tex]

[tex]d_{y} = 8[/tex]

Distance regarding z-axis:

[tex]d_{z} = 7 - 0[/tex]

[tex]d_{z} = 7[/tex]

Hence, the radius of the sphere must have a measure of 7. The equation of the sphere is represented by the following geometric locus:

[tex](x-h)^{2} + (y-k)^{2} + (z - j)^{2} = r^{2}[/tex] (1)

Where:

[tex]h, k, j[/tex] - Coordinates of the center.

[tex]r[/tex] - Radius of the sphere.

If we know that [tex](h,k,j) = (10, 8, 7)[/tex] and [tex]r = 7[/tex], then the equation of the largest sphere with center (10, 8, 7) that is contained completely in the first octant is:

[tex](x-10)^{2} + (y - 8)^{2} + (z - 7)^{2} = 49[/tex]

Each question Sandra answers incorrectly changes her overall score by -3/4 points. Sandras overall score was -4 1/2 points , and then she answered the last question incorrectly. What was Sandras final score

Answers

-5 1/4 the answer is

First person will get brainiest​

Answers

Answer:

341.6

Step-by-step explanation:

This problem asks one to subtract (58.4) from (400).

400 - 58.4 = 341.6

Less than is subtraction.

Subtract 58.4 from 400

400 - 58.4 = 341.6

The answer is 341.6

NEED HELP ASAP! Translate into symbols

1. Fifteen more than a number

2. Decreased the quotient of forty eight and 6 by two is six

Answers

Answer:

x-6+6(6+6+6)X I am a pro boiiiiii

15 < x

6 = (48/6) - 2
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