How can the area of this triangle be determined by forming a rectangle? Select from the drop-down menus to correctly complete the statements. Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is Choose. Units. The width of the rectangle is Choose. Units. The area of the rectangle is Choose. Square units. The area of the triangle is half the area of the rectangle, so the area of the triangle is Choose. Square units.

The expression if x = 3 and y = 2 is 2

Given the function expressed as:
[tex]\dfrac{5x+1}{2y^2}[/tex]

Given the following parameters

x = 3 and y = 2

Substituting the values into the following

[tex]= \dfrac{5(3)+1}{2(2)^2}\\=\dfrac{16}{2\times 4}\\=\dfrac{16}{8}\\= 2[/tex]

Hence the expression if x = 3 and y = 2 is 2

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Aaron the car wash owner had 228 quarters and 120 dimes.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the number of quarters and y represent the number of dimes. Hence:

x = 90% of y + y

x = (0.9y) + y

x - 1.9y = 0   (1)

Also:

0.25x + 0.1y = 69   (2)

From both equations:

x = 228, y = 120

Aaron the car wash owner had 228 quarters and 120 dimes.

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Answer:

183,333

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. ∠C ≅ ∠E . . . . given

2. ∠ABC ≅ ∠DBE . . . . vertical angle congruence theorem

3. ΔABC ~ ΔDBE . . . . AA similarity theorem

_____

When showing similarity of triangles with no marked sides, theorems that involve sides (SSS, SAS, AAS) do not apply. The only theorem you can invoke is the AA similarity theorem.

A proof generally begins by restating those things that are "given," that form the basis for the rest of the proof. Here, the arcs on the diagram show that angles C and E are congruent. That is "given."

Answer:

0

Step-by-step explanation:

picture

Answer:

Step 1

Step-by-step explanation:

The symbol seems to have changed from divide to add. The work done in the parentheses is also wrong by the order of operations; multiplication comes before addition.

Answer:

radical 7<14÷5

bcoz radical 7 is 2.645

and 14÷5 is 2.8

Answer:

a) i) Rs 8,640

  ii)  Rs 12,960

 iii) Rs 155,520

 iv) Rs 124,416

Step-by-step explanation:

Salary = Rs 21,600 per month

a) i)

Percentage of salary spent on education = 15%

⇒ 15% of 21600 = 0.15 x 21600 = 3240

Percentage of salary spent on food = 25%

⇒ 25% of 21600 = 0.25 x 21600 = 5400

Therefore, total monthly expenses = 3240 + 5400 = 8640

ii) Monthly savings = monthly salary - monthly expenses

                               = 21600 - 8640

                               = 12960

iii) 1 year savings = monthly savings x 12

                            = 12960 x 12

                            = 155520

iv) 80% of savings = 0.8 x 155520 = 124416

Answer:

B

Step-by-step explanation:

A, C, and D are rational numbers. For D,

[tex] \sqrt{16} = 4[/tex]

Answer:

I believe the answer is B

Answer:

26.

Step-by-step explanation:

6 paychecks in 12 weeks is 1 paycheck every 2 weeks.

52 divided by 2 is 26. She gets 26 paychecks in 52 weeks.

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$74500\\ r=rate\to 13.3\%\to \frac{13.3}{100}\dotfill &0.133\\ t=years\dotfill &25 \end{cases} \\\\\\ A=74500e^{0.133\cdot 25}\implies A=74500e^{3.325}\implies A\approx 2071025.40[/tex]

Answer:

Step-by-step explanation:

55

Answer:

14 = b or b = 14

Step-by-step explanation:

Area of a triangle: 1/2*b*h

Area = 1/2*b*h

63 = 1/2*b*9

63 = 9/2b

2(63 = 9/2b)

126 = 9b

/9      /9

14 = b or b = 14

Check:

63 = 1/2*b*9

63 = 1/2*14*9

63 = 7 * 9

63 = 63

Hope this helps!

[tex]8m {}^{3} - 128m \\ 8m( {m}^{2} - 16)[/tex]

By taking common

Answer: 3x^2+15x

Step-by-step explanation:

3x(x+5)

(x * x = x^2 and x * a number = a coefficent)

= 3x^2+15x

Answer: [tex]3x^{2}[/tex]+15x

Step-by-step explanation: 3x(x+5) then you distribute the 2x to all numbers in the parentheses leaving [tex]3x^{2}[/tex]+15x which is already simplified

From the circle with center A, DE and CF are diameter while FA and EA are radius.

A circle is the locus of a point such that the distance from the fixed point known as the center is constant.

A segment is a line that touches two points on the edge of a circle. Diameter is a line segment that passes the center of the circle while the radius is half of the diameter.

From the circle with center A, DE and CF are diameter while FA and EA are radius.

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Answer:

DE=diamter

FA=Radious

AC=Radious

CF=Diameter

EA=Radious

Step-by-step explanation:

All correct i took test

Answer:

xd eso tan faciiil

Step-by-step explanation:

facil 2+2=?

the parallelogram's sides are:

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.

Given The perimeter of a parallelogram, ABCD is 76 cm. AD is 5 cm more than twice AB

AD = 5 + 2AB....(1)

Also given

parameter = 76

For parallelogram parameter = 2(a + b)

where a and b are adjacent sides

2(a + b) = 76

a + b = 38

AB + AD = 38

From equation 1

AB + 5 +2AB = 38

3 AB = 33

AB = 11

substituting in equation 1

AD = 27

therefore, the Sides of the parallelogram are:

AB = 11

BC = 27

CD = 11

AD = 27

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#SPJ2

Answer:

The answer is 590.

Answer:

The nearest tenth would be 590 since you round 86 to the nearest tenth. 86 is closer to 90 instead of 80, once again your answer is 590.

Step-by-step explanation:

Answer:

(Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.

Step-by-step explanation:

Answer:

C. 2

Step-by-step explanation:

Mode is the number that repeats the most or more often than others. The number 2 repeats three times. The number 0 repeats twice. Numbers 3 and 4 do not repeat.

Answer:

£960

Step-by-step explanation:

100%=£800

20% of £800= 800/100 x 20 = £160

£800+VAT=120%= £800+£160=960

Answer:

The first step is A, distributing and multiplying 7 to the x and -3 in the parentheses

Step-by-step explanation:

It’s kind of hard to offer and explanation for this, so sry!

(Please award brainliest if possible!)

Answer:

(a).

Step-by-step explanation:

7 is outside the parentheses and needs to be distributed to x and -3 before trying to isolate the x.

j- 120 degrees

k- 38 degrees

For j...

The formula to find the total interior angle measurement for one angle is [tex]\frac{(x-2)180}{2}[/tex]. "x" is the number of angles. So in this case [tex]\frac{(6-2)180}{2}[/tex].

For k...

opposite vertical angles are equal, so the measurement provided will be the same for k.

Answer:

n =22

Step-by-step explanation:

12-5=7

15-5=10

20-5=15

n-5=17

collect like terms

n=17+5

n=22

Answer:

Looking at the rule we can see that our x value is always 5 more than our y value.  So to get our n we just take the y value of 17 and add 5 and we get 22.  So our n is equal to 22.

Answer:

4x + 4

Step-by-step explanation:

I answered this correctly on my test

Hopes this help

Please let me know if I'm wrong

Answer:

4x+4

Step-by-step explanation:

Got it right on my test

Step-by-step explanation:

since the pond is circular, its area will be πr².

a= πr², where r= 7ft

1 m ≈ 3.2808 ft

3.2808 ft ≈ 1 m

1 ft = 1/3.2808

7 ft = 1/3.2808 * 7

= 2.13362.. m

a= πr²

a= 3.14 * ( 2.13362...)2

a= 3.14 * 4.5523596...

a= 14.2944..

a= 10.0 m² (rounded to nearest tenth)

is the question right?

Area of circle is pi times its radius squared. The area of the circular pond in consideration is 14.29 square meters approximately.

Area of that circular shaped object with radius r units is given by:

[tex]A = \pi \times r^2 \: \rm unit^2[/tex]

For the given case, we've got a circular pond with a radius of 7 ft.

Since 1 m ≈ 3.2808 ft, thus,

dividing both the sides by 3.2808, we get

[tex]\rm 1\: ft \approx \dfrac{1}{3.2808} \: \rm meter\\\\\text{Multiplying 7 on both the sides}\\\\7 \: ft \approx \dfrac{7}{3.2808} \: meters \approx 2.1336 \: \rm meters[/tex]

Therefore, the radius of the considered circular pond is approximately 2.1336 meters.

Using the formula for area of circle to find the area of circular pond, we get:

[tex]A = \pi \times r^2 \: \rm unit^2\\\\A \approx 3.14 \times (2.1336)^2 \approx 14.294 \: \rm meter^2[/tex]

14.294 rounded to nearest hundredth would be 14.29

(after decimal point, the first place is tenth place, the second digit in right is hundredth place, and so on, [tex]x^{th}[/tex] place is [tex]10^x[/tex]th  place).

Thus, the area of the circular pond in consideration is 14.29 square meters approximately.

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General equation of linear function:

[tex]y=mx+b[/tex]

point (−4,−7);

[tex]x=-4, y=-7, \text{slope}=\dfrac{3}{2} =1,5[/tex]

[tex]-7=1,5\times(-4)+b\\-7=-6+b\\b=-1[/tex]

Ans:

[tex]y=\dfrac{3}{2} x-1 \:\text{or}\:y=1,5x-1[/tex]