Given that the quadrilateral is a parallelogram, find the values of x, y and z.

Answer:

  a)  ΔCED ~ ΔCAB

  b)  157.5 m

Step-by-step explanation:

The similarity statement for geometric figures lists the corresponding vertices in the same order. Corresponding sides of similar figures are proportional. That fact can be used to find the missing side length.

__

The right angles are corresponding. Angle C corresponds to itself, so the similarity statement can be written ...

  ΔCED ~ ΔCAB

__

Corresponding sides are proportional, so we can write ...

  AB/AC = ED/EC

  AB/(50+160) = 120/160 . . . . . using the numerical values

  AB = 210 × 120/160 = 157.5 . . . meters

The length of the lake is 157.5 meters.

The rule for construction of Inscribed equilateral triangle

Means if marks are from 1 to 6 then

Or

Now

Here the rest two segments are

Answer:

FB and DB

Step-by-step explanation:

got it right on the test

Area

Base=6cm

Height=12cm

So,

= 1/2×6×12

= (3×12)

= 36 cm²

[tex]\boxed{\blue{ » \: Lear \: math \: with \: Kareninajovanka \: « コ: \: 彡}}[/tex]

Answer:

93,600

Step-by-step explanation:

4x104= 416

416x225 = 93,600

Answer:

Step-by-step explanation:

Comment

I take it you want the value for x.

Solution

4(x-5)-(6x + 1)= 2x -19                       Remove the Brackets.

4x - 20 - 6x - 1 = 2x - 19                   Combine like terms

-2x - 21 = 2x - 19                              Add 2x to both sides

-2x-21+2x = 2x + 2x - 19                  Combine

-21 = 4x - 19                                     Add 19 to both sides

-21+19 = 4x -19 + 19                          Combine like terms

-2 = 4x                                              Divide by 4

-2/4 = x

x = - 1/2

Answer: x = - 1/2

or x = -0.5

Answer:

(4, -6)

Step-by-step explanation:

(x1+x2)/2 + (y1+y2)/2 = midpoint

(11+-3)/2 = 8/2 = 4.     x = 4

(-5 + -7)/2 = -12/2.      y = -6

4, -6 is the midpoint

give brainliest please! hope this helps :)

Answer:

8

Step-by-step explanation:

Intersecting Chords Formula:

(segment piece) x (segment piece) = (segment piece) x (segment piece)

5*x = 4*10

5x = 40

Divide by 5

5x/5 = 40/5

x = 8

The number is that was multiplied by 6 is 2.

The equation that can be derived from the question is :

7 + (6a) = 19

Where a is the unknown number that 6 was multiplied with

Given the above equation, in order to determine the value of a, take the following steps:

Combine similar terms: 6a = 19 - 7

Subtract similar terms: 6a = 12

Divide both sides by 6: a = 12 / 6

a = 2

Here is the complete question:

Seven increased by the product of six and the number is 19. What is the number?

To learn more about division, please check: https://brainly.com/question/194007

#SPJ1

Answer:

give that 13.3cm is 15% of a certain length, what is the complete length

Answer: A,B and D ARE THE CORRECT ANSWERS

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

9(k-2)=-6 and k=1

9(1-2)=-6

9(-1)=-6

-9=-6

No, -9 doesn't equal -6.

So this system of equations is false.

Hope this helped! :)

Answer:

62.

Step-by-step explanation:

because I subtract 70 to 8 equal to 62

Answer:

I think

Step-by-step explanation:

I think 62 hope you have a good day

Based on the bar graph, the true statement is that: C. more 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.

A bar graph is used for the graphical representation of data, especially by using rectangular bars or vertical columns.

From the information provided, we can deduce the following points about the audiobook listeners:

Age                                 Relative frequency

13 to 17                                      0.08

18 to 25                                     0.15

26 to 35                                    0.23

36 to 45                                    0.45

46 and over                              0.47

Based on the frequency table for the bar graph, we can logically deduce that more 36 to 45-year-olds with a frequency of "0.45" listen to audiobooks than 26 to 35-year-olds with a frequency of "0.23."

Read more on bar graph here: https://brainly.com/question/24741444

#SPJ1

Complete Question:

People of different ages were asked the question "Do you listen to audiobooks?" The bar chart displays the percentage of "yes" responses in each age group. Which of the following statements is correct?

A. More 18- to 25-year-olds listen to audiobooks than 26- to 35-year-olds.

B. Fewer 18- to 25-year-olds listen to audiobooks than 13- to 17-year-olds.

C. More 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.

D. Fewer 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.

Checking if the two pairs of slopes are negative reciprocal will help he determine if the lines are perpendicular to each other. Therefore her plan will work.

A quadrilateral are shapes with 4 sides. A rectangle is a quadrilateral with 2 parallel sides.

According to Nala's plan to find out if the quadrilateral shown is a rectangle, she can do the following;

Checking if the two pairs of slopes are negative reciprocal will help he determine if the lines are perpendicular to each other.  

Learn more on quadrilateral here: https://brainly.com/question/21662845

#SPJ1

The distribution of the sample means when the samples of size n = 60 are randomly selected from the population is normal (approximately).

Calculating the sample mean is as simple as adding up the number of items in a sample set and then dividing that sum by the number of items in the sample set.

Here, the distribution of the sample means when the samples of size n = 60 are randomly selected from the population is normal (approximately).

Learn more about samples on:

https://brainly.com/question/2838094

#SPJ1

The perpetual inventory system is an inventory management method that records when stock is sold or received in real-time.

a. Debit Accounts Receivable 12000

Credit  Sales  12000

Debit Cost of Merchandise Sold 6500

Credit    Merchandise Inventory  6500

b. Debit Cash 9500

Credit Sales  9500

Debit Cost of Merchandise Sold 5300

Credit Merchandise Inventory  5300

c. Debit Cash 2900

Credit  Sales  2900

Debit Cost of Merchandise Sold 1700

Credit  Merchandise Inventory  1700

d. Debit Credit Card Expense 385

Credit  Cash  385

e. Debit Credit Card Expense 75

Credit Cash  75

Learn more about journal on:

https://brainly.com/question/14279491

#SPJ1

The area of a 2D form is the amount of space within its perimeter. The surface area of the cone is 108.79967 units².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given the diameter of the cone is 6 units, therefore, the radius of the cone is 3 units, and the height of the cone is 8 units. Thus, the surface area of the right cone is,

A=πr [r+√(h²+r²)]

A = 108.79967 units²

Hence, the surface area of the cone is 108.79967 units².

Learn more about Area:

https://brainly.com/question/1631786

#SPJ1

[tex] - 50m + 10 - 3m + ( - 13) \\ - 50m + 10 - 3m - 13 \\ - 53m - 3[/tex]

Hope it helps

please give brainliest

Answer:

.............30000.............

Answer:

9. 105/-21 = -5

10. -5 + 11 = 6

11. 368 x -16 = -5888

12. To prove this you don't need the integers provided, you can just expand out the first one. a x (b + c) = (a x b) + (a x c)

Answer:

D) 5

Step-by-step explanation:

Because 5x5=25 so the square root would be 5

Answer:

b

Step-by-step explanation:

Amount of tax you need to pay on a taxable income of $40,000 is,

= $6423.75

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

According to table, $40,000 falls in the 3rd category between $31,850 and $77,100

And, The tax is "$4,386.25 + 25% of amount over 31,850"

Hence, we have:

= $4,386.25 + 25% of (40,000 - 31,850).

= $4,386.25 + 0.25 x 8150

= $6423.75

Thus, Amount of tax you need to pay on a taxable income of $40,000 is,

= $6423.75

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ5

Answer:

[tex]\mathsf {x = 76}[/tex]

Step-by-step explanation:

The given pair of angles lie on a line, hence they are classified as linear angles. They possess the property by which their sum is equal to 180°.

[tex]\textsf {Solving :}[/tex]

[tex]\implies \mathsf {x + 17 + 87 = 180}[/tex]

[tex]\implies \mathsf {x + 104 = 180}[/tex]

[tex]\implies \mathsf {x = 180 - 104}[/tex]

[tex]\implies \mathsf {x = 76}[/tex]

The inequalities are; 5¹/₄ tons = 10500 pounds; 1/2 ton + 3/4 ton > 2800 pounds; 2 tons > 60000 pounces; 1¹/₄tons > 20000 ounces

1) 5¹/₄ tons when converted to pounds is 10500 pounds.

Thus; 5¹/₄ tons = 10500 pounds.

2) 1/2 ton + 3/4 ton = 5/4 tons

Converting 1.25 to tons gives 2500 tons. Thus;

1/2 ton + 3/4 ton > 2800 pounds

3) Converting 2 tons to Ounces gives 64000 ounces. Thus;

2 tons > 60000 pounces.

4) 1¹/₄tons - ¹/₂ton = ³/₄ tons

Converting to ounces gives 24000 ounces

Thus; 1¹/₄tons > 20000 ounces

Read more about Inequalities at; https://brainly.com/question/25275758

#SPJ1

let's say the segment is A(-3,8) and B(6,-4) and point C splits it on a 1:5 ratio from A to B, let's check for C coordinates.

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-3,8)\qquad B(6,-4)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{5}\implies \cfrac{A}{B} = \cfrac{1}{5}\implies 5A=1B\implies 5(-3,8)=1(6,-4)[/tex]

[tex](\stackrel{x}{-15}~~,~~ \stackrel{y}{40})=(\stackrel{x}{6}~~,~~ \stackrel{y}{-4})\implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-15 +6}}{1+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{40 -4}}{1+5} \right)} \\\\\\ C=\left(\cfrac{-9}{6}~~,~~ \cfrac{36}{6} \right)\implies C=\left( -\cfrac{3}{2}~~,~~6 \right)[/tex]

The highest possible number of inhabitants in that little town are 743.

A person or animal that lives in a place is called as the inhabitant.

Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant.

Let say there are 519 people in the town. and make them stand in a line with increasing number of hairs on their heads. This way, there will be a person on the last, who has no hair.

There are more number of people than the hairs. From bald to 742 hairs, 743 is the limit.

Thus, the highest possible number of inhabitants in that little town are 743.

Learn more about inhabitant.

https://brainly.com/question/15121341

#SPJ1

The speed of landing is 15.69 ft/sec.

"Differentiation, in mathematics, process of finding the derivative, or rate of change, of a function. In contrast to the abstract nature of the theory behind it, the practical technique of differentiation can be carried out by purely algebraic manipulations, using three basic derivatives, four rules of operation, and a knowledge of how to manipulate functions.    

The three basic derivatives (D) are: (1) for algebraic functions, D(xn) = nxn − 1, in which n is any real number; (2) for trigonometric functions, D(sin x) = cos x and D(cos x) = −sin x; and (3) for exponential functions, D(ex) = ex."

Let the length of the rope = r

Height of the balloon = h

we are given dr/dt = 15ft/sec

at any time t we know:

[tex]r = 125 + 15*t[/tex]

By the Pythagoras theorem we know:

[tex]h^2 + 125^2 = r^2[/tex]

We have to find dh/dt at time t = 20 sec

[tex]d/dh(h^2 + 125^2) = d/dt(r^2)[/tex]

By chain rule:

[tex]d/dh(h^2 + 125^2)*dh/dt\\ = d/dr(r^2)*dr/dt\\2h*dh/dt = 2r* dr/dt\\h*dh/dt = r*dr/dt\\dh/dt = (r/h)*dr/dt[/tex]

[tex]= [(125 + 15*20)/(425^2 - 125^2)^1/2]*15[/tex]--------------------- at time t = 2

=15.69 ft/sec

Hence dh/dt = 15.69 ft/sec

To know more about differentiation here

https://brainly.com/question/14496325

#SPJ2

Answer:

123 save some for me

Step-by-step explanation:

:0

Answer: 123

Step-by-step explanation: I did the math- lol-

Step-by-step explanation:

you use Sin60 to find y because Sin60=

[tex] \frac{y}{8} [/tex]

The missing number given the mean of the data set is 16.

Mean is the average of a data set. It is determined by adding all the numbers in the data set and dividing the sum by the numbers in the data set.

Missing number = (mean x total number in the data set) - sum of numbers in the data set

(18 x 7) - ( 21 + 11 + 27 + 22 + 13 + 16)

126 - 110

= 16

To learn more about mean, please check: https://brainly.com/question/25842202

#SPJ1

Answer:

2,160 ÷ 36 = 60

Step-by-step explanation:

The division problem that this area model represents is,

2,160 ÷ 36 = 60