Which of the following is the proper name for the figure below?
T
M
A
y
X
Ο Α. ΔΑΤΧ
Ο Β. ΔΑΤΜ
Ο C. ΔΑΥΜ
Ο D. ΔΑΥΧ

Answer:

It is 44

Step-by-step explanation:

The perimeter of the paralllelogram given is: 44 units.

Perimeter = 2(a + b), where a and b are the legs of the sides adjacent to each other.

Given the following:

Since opposite sides of a parallelogram are equal, therefore:

4y - 2 = 2y + 6

4y - 2y = 2 + 6

2y = 8

y = 4

2x + 2 = 3x - 1

2x - 3x = -2 - 1

-x = -3

x = 3

Perimeter of the paralllelogram = 2(AB + AD) = 2(4y - 2 + 3x - 1)

Plug in the values of x and y

Perimeter of the paralllelogram = 2(4(4) - 2 + 3(3) - 1)

Perimeter of the paralllelogram = 2(16 - 2 + 9 - 1)

Perimeter of the paralllelogram = 44 units.

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Answer:

Step-by-step explanation:

Lateral area, Al = a√(a² + 4h²)

Where,

a = base edge = 5 in

h = height = 10 in

Lateral area, Al = a√(a² + 4h²)

= 5√(5² + 4*10²)

= 5√(25 + 4*100)

= 5√(25 + 400)

= 5√425

= 5 * 20.615528128088

= 103.07764064044

Approximately,

Lateral area = 103.08 in²

Answer: 100

Step-by-step explanation: each side has an area of 10*5/2, or 25, and there are 4 lateral sides, so times 4, it's 100

Given:

In the first year, the car will decrease in value by 25%.

The cost of a car is Rs. 200,000.

To find:

The worth of the car after 1 year.

Solution:

The cost of a car is Rs. 200,000 and in the first year the car will decrease in value by 25%. So, the worth of the car after 1 year is:

[tex]Worth=200000-\dfrac{25}{100}\times 200000[/tex]

[tex]Worth=200000-\dfrac{1}{4}\times 200000[/tex]

[tex]Worth=200000-50000[/tex]

[tex]Worth=150000[/tex]

Therefore, the worth of the car after 1 year is Rs. 150,000.

Answer:

The surface area of the cube is 294 m^2

Step-by-step explanation:

The formula for the surface area of a cube is:

(a^2) 6

Explanation behind formula:

a represents the side length. a^2 is the area of one face of the cube. Multiply that by 6 because there are 6 faces on a cube.

(Surface area- the area of each face of a figure)

Use formula with the given:

(7^2) 6 = 294

Surface area is measured in square meters.

(meters in this situation)

Therefore, the surface area of the cube is

294 m^2

Hope this helps!

Answer:

294

Step-by-step explanation:

formula is = 6(side length)^2

6x(7)^2

=294

Answer:

[tex]x=7\\y=128\\z=128[/tex]

Step-by-step explanation:

Value of x:-

Form an equation:

[tex]4x+24=7x+3[/tex]  {opposite / vertical angles are equal}

Subtract 7x from both sides:

[tex]4x+24-7x=7x+3-7x[/tex]

[tex]-3x+24=3[/tex]

Subtract 24 from both sides:

[tex]-3x+24-24=3-24[/tex]

[tex]-3x=-21[/tex]

Divide both sides by -3

[tex]-3x/-3=-21/-3[/tex]

[tex]x=7[/tex]

Value of y and z:-

Value of x is 7 so replace x in the equations:

[tex]4(x)+24=52\\7(7)+3=52[/tex]

Now that we have the value of x, its easy to find y and z

[tex]52+52+y+z=360[/tex]

{complete circle makes 360°}

[tex]104+y+z=360[/tex]

[tex]y+z=360-104[/tex]

[tex]y+z=256[/tex]

Divide 256 by 2 to get value of each variable:

vertically opposite angles (y & z) are equal

[tex]256/2 = 128[/tex]

[tex]y=128\\z=128[/tex]

∴ CHECK: 128 + 128 + 52 + 52 = 360°

hope this helps...

Answer:

X=7

Y and Z = 128

Step-by-step explanation:

7X+3=4X+24

it is equal coz by the opposite angle

find the value of X

7x+3=4x+24--------------collect like term

3x=21----------divided by 3

x=7

then 7x+3=52

4x+24=52

SR is the line that measure 180°

that means (7x+3)+Z=180°

use the value of X into the equation

Z=180-52

Z=128

it means Z and Y are equal so Y= 128

Answer:

$240

Step-by-step explanation:

They spend 5% of their monthly income on transportation, so you want to work out 5% of 4800.

An easy trick with 5% is to divide by 10 (drop the ending 0) and then divide by 2. This would be 4800/10/2, or 480/2, which gives 240.

**This content involves using percentages which you may wish to revise.

Answer:

2400

2640

360

Step-by-step explanation:

I am not sure the description is totally clear.

my assumptions are (based on my interpretations of the text) :

the retailer buys from the dealer with 15% discount.

but the retailer has to sell the jacket for the same price as the dealer.

so, both mark the sale price as 2400.

if the customer buys from the retailer, the retailer makes 15% profit (the discount he got from the dealer).

15% = 2400 × 15/100 = 24 × 15 = 360

the retailer makes this profit no matter what other fees or taxes are added.

if the customer buys from the dealer, the dealer makes these 15% and some more (we don't know how much) profit.

now, the final price is to include also 10% VAT

100% = 2400

1% = 2400 / 100 = 24

10% = 24 × 10 = 240

so,

final price = SP + VAT = 2400 + 240 = 2640

Answer:

sinB = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]

The Trigonometric ratios is 12/13

The branch of mathematics concerned with specific functions of angles and their application to calculations.

We have,

H= 13, B= 5 and P=12

So,

sin B= Perpendicular/ Hypotenuse

        = 12/13

hence, sin B=  12/13

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1. Answer is option 3

2. Answer is option 3

Answer:

for #1 it's the 3rd one and for #2 it's the 4th one (2.8 meters)

Answer:

Number of small boxes shipped = 7

Number of large boxes shipped = 15

Step-by-step explanation:

Let the number of small boxes = s

And the number of large boxes = l

Weight of small box = 25 pound

Weight of the large box = 50 pounds

Total weight of the shipment = 925 pounds

Therefore, equation for the weight of shipment will be,

25s + 50l = 925

s + 2l = 37 ----- (1)

Total number of boxes shipped = 22 boxes

Therefore, equation will be,

s + l = 22 ------(2)

Subtract equation (2) from equation (1)

(s + 2l) - (s + l) = 37 -22

l = 15

From equation (2)

s + 15 = 22

s = 7

Therefore, number of small boxes shipped = 7

Number of large boxes shipped = 15

Answer:, Joey will pay $117.18 for sneakers.

Step-by-step explanation:

Given: original price = $155

Discount rate = 30%

Tax rate = 8%

Price after discount = Original price - (Discount) x (original price)

[tex]= 155-0.30\times 155\\\\=155-46.5\\\\=\$\ 108.5[/tex]

Tax = Tax rate x (Price after discount)

[tex]= 0.08 \times 108.5[/tex]

= $ 8.68

Final price for sneakers = Price after discount + Tax

= $ (108.5+8.68)

= $ 117.18

Hence

Answer:

Probability[Random choose marble is green] = 5 / 13

Step-by-step explanation:

Given:

Number of yellow marble in bag = 4

Number of white marble in bag = 4

Number of green marble in bag = 5

Find:

Probability[Random choose marble is green]

Computation:

Probability of an event = Number of favourable outcome / Number of total outcome

Probability[Random choose marble is green] = 5 / [4 + 4 + 5]

Probability[Random choose marble is green] = 5 / 13

Answer:

PQ = 46

Step-by-step explanation:

The midsegment ST is half the length of the third side PQ , that is

ST = [tex]\frac{1}{2}[/tex] PQ , so

5x - 22 = [tex]\frac{1}{2}[/tex] (3x + 19) ← multiply both sides by 2 to clear the fraction

10x - 44 = 3x + 19 ( subtract 3x from both sides )

7x - 44 = 19 ( add 44 to both sides )

7x = 63 ( divide both sides by 7 )

x = 9

Then

PQ = 3x + 19 = 3(9) + 19 = 27 + 19 = 46

Answer:

D

Step-by-step explanation:

its just rabdom numbers

Answer:

D thats just a number no sequence or any thing

Step-by-step explanation:

Answer:

f(-2) = -3

Step-by-step explanation:

When x = -2 we want the value of y

We use the closed circle value ( open circle does not have a value)

f(-2) = -3

Answer:

420 is the answer

hope it helps

Step-by-step explanation:

plz mark me brainleast

Answer:

25+40x=195

Step-by-step explanation:

If he already has $25, you need to add that to 40x (40 times the amount of weeks it takes to get to 195, added with 25).

Answer: A.

Step-by-step explanation:

Data: Fraction that turning into a repeating decimal number=x

Only step: Divide all the fractions, 1/12, 7/8, 14/25, 17/20, 6/10

Explanation: The only way to find which fraction turns into a repeating decimal is by dividing all the fractions, this can be done in any order but for this problem, lets start with 1/12 which, when divided, turns into 0.083... which is a repeating decimal

With that being said, the answer would be A.(1/12)

I hope this helps(Mark brainliest if you'd like to)

Answer:

Percent * base = Amount

660 g = 660 g

3kg = 3000g

percent(3000) = 660

percent = 660/3000

percent = .22

.22 = 22%

Step-by-step explanation:

Answer:

5.16 m

Step-by-step explanation:

[tex] \cos( \alpha ) = \frac{bc}{x} \\ \cos(29) = \frac{bc}{5.9} \\ bc = 5.9 \cos(29) \\ bc = 5.16 m[/tex]

Answer:

The answer is A

Step-by-step explanation:

C’(4, –2)

The coordinates of C' are (1, 0)

A translation moves a shape up, down or from side to side, but it does not change its appearance in any other way.

Given that, On a coordinate plane, triangle A B C has points (-2, -1), (-2, -3), (-5, -1).

When Triangle ABC is translated 6 units to the right and 1 units up.

We know that rule for translating b unit up and a unit right is

(x, y) → (x+a, y+b)

Hence, the coordinates for C' =

(-5, -1) = (-5+6, -1+1) = (1, 0)

Hence, the coordinates of C' are (1, 0)

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Answer:

3 1/25

Step-by-step explanation:

3.04

Do the decimal part first

.04 = 4/100

Reduce - cancel out 4

1/25

Put back the whole number

3 1/25

Answer:

3 [tex]\frac{1}{25}[/tex]

Step-by-step explanation:

I agree with the previous answer :

You need to do it part by part.

0.04 is equal to [tex]\frac{4}{100}[/tex]

[tex]\frac{4}{100}[/tex] simplified (we divide by 4 with both the denomantor and the numerator.) =

[tex]\frac{1}{25}[/tex]

And we still have those 3 wholes that we had in the beginning.

Now we add.

3 + [tex]\frac{1}{25}[/tex] = 3 [tex]\frac{1}{25}[/tex]

Answer:

−3x^2+2x /x−2

Step-by-step explanation:

4x−9x^3/ 3x^2−4x−4

=  −9x^3+4x /3x^2−4x−4

=  x(−3x+2)(3x+2) /(3x+2)(x−2)

=  −3x^2+2x /x−2

Answer:

The fuel efficiency of Lily's car in kilometers per liter is 12.5 km/litre.

Step-by-step explanation:

in a sale, normal prices are reduced by 10%

nathalie bought a pair of shoes in the sale for £54

what was the original price of the shoes

[tex]x = 60[/tex]

Explanation

[tex] \sf based \: on \: the \: given \: conditions \: write : x = \frac{54}{ 1 - 01} [/tex]

[tex] \sf calculate \: the \: sum \: difference: x = \frac{54}{0.9} [/tex]

convert decimal to fraction: x= 54 / 9 / 10

[tex] \sf \: divide \: a \: fraction \: by \: multiplying \: its \: reciprosal : x = 54 \times \frac{10}{9} [/tex]

[tex] \sf \: write \: as \: a \: single \: fraction : x = \frac{54 \times 10}{9} [/tex]

[tex] \sf \: reduce \: fraction \: to \: the \: lowest \: term \: by \: cancelling \: the \: greatest \: [/tex]

[tex] \sf \: common \: factor : x = 6 \times 10[/tex]

[tex] \sf \: calculate \: the \: product \: or \: quotient : x = 60 [/tex]

[tex] \sf{ \boxed{answer : x = 60}}[/tex]

Answer:

also, Marie = 1/2

Answer:

Step-by-step explanation:

answer is   [tex](11010)_{2}[/tex]

Answer:

x = 3/2

The axis of symmetry is located at the vertex,

which is the also the highest point in this problem...

the x component of the vertex can be calculated as -b/2a = -48/-32 = 24/16 = 6/4 = 3/2

x = 3/2

Step-by-step explanation:

Answer:

1/12 of the area of the circle

Step-by-step explanation:

Since the total angle measure of a circle is 360 degrees, a 30 degree sector is 30/360=1/12