The figure below is a parallelogram. AB = 5 cm and BC = 3 cm. Find angle ABC

⇒x²+ 4² - x²+ 2x - 2x + 4 = 20

⇒ x² - x² + 2x - 2x + 4² + 4 = 20

⇒ 16 + 4 = 20

⇒ 20 = 20

RHS = LHS hence proved

Answered by Gauthmath must click thanks and mark brainliest

Answer:

x = 0

Step-by-step explanation:

(a + b)² = a² +2ab + b²

(a +b)(a -b)= a² - b²

(x + 4)² - (x + 2 )(x - 2) = 20

x² + 2*4 *x + 4² - [x² - 2²] = 20

x² + 8x + 16 - [x² - 4]  = 20

x² + 8x + 16 - x²  + 4   = 20                 {(-1) is distributed x² and (-4)²}

x² - x² + 8x + 16 + 4     = 20 {Combine like terms}

                      8x + 20   = 20

                           8x      = 20 - 20

                               8x   = 0

x = 0

Answer:

A= (3*X - 6[tex]\sqrt{x}[/tex])/(X-4)

A=(3*2 - 6[tex]\sqrt{2}[/tex])/(2-4)= -3+3[tex]\sqrt{2}[/tex]

A=(3*4 - 6[tex]\sqrt{4}[/tex])/(4-4) Unknown

Step-by-step explanation:

Answer: 33

Work Shown:

Apply the pythagorean theorem to get

[tex]a^2 + b^2 = c^2\\\\x^2 + 44^2 = 55^2\\\\x^2 + 1936 = 3025\\\\x^2 = 3025 - 1936\\\\x^2 = 1089\\\\x = 33[/tex]

Answer:

A 5 sided figure

Step-by-step explanation:

To find the sum of interior angles we use the formula

S = (n - 2) *180

540 = 180n - 360

180n = 540 + 360

180n = 900

n = 900/180

n = 5

The number of sides of a polygon with the given sum of interior angles is 5.

Option A)5-sided figure is the correct answer.

A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.

The formula for calculating the sum of interior angles of a polygon is;

S =  ( n − 2 ) × 180°

Where S is the sum and n is the number of sides.

Given that the sum of the interior angles equal to 540°.

From the above expression;

S =  ( n − 2 ) × 180°

540° =  ( n − 2 ) × 180°

540° =  180°n − 360°

180°n = 540° + 360°

180°n = 900°

n = 900° / 180°

n = 5

The number of sides of a polygon with the given sum of interior angles is 5.

Option A)5-sided figure is the correct answer.

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It needs [tex]140\ \text {pounds}[/tex] of the spirulina to get in order to make the blend.

Used the concept of a system of linear equations that states,

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system.

Example; ax + by = 0

Given that,

The cost of protein per pound = [tex]\$10.25[/tex]

The cost of powdered spirulina per pound = [tex]\$22.45[/tex]

And, the blend ends up costing [tex]\$16.35[/tex] per pound.

Let us assume that,

There are x pounds of protein and y pounds of spirulina in the mixture.

Hence, by given conditions the equation is,

[tex]10.25x + 22.45y = 16.35 (x + y)[/tex]

[tex]10.25x + 22.45y = 16.35x +16.35 y[/tex]

Combine like terms,

[tex]22.45y - 16.35 y= 16.35x - 10.25x[/tex]

[tex]6.1 y = 6.1x[/tex]

[tex]y = x[/tex]

Since the company has 140 pounds of whey protein on hand.

So, the amount of spirulina it needs to get in order to make the blend is,

[tex]y = 140\ \text {pounds}[/tex]

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Answer:

x=55

Step-by-step explanation:

Since 2 sides are the same length, their base angles much be the same.  The unmarked angle muse also be x

x+x+70 = 180  since the sum of the angles of a triangle must be 180

2x+70 = 180

2x = 180-70

2x = 110

Divide by 2

2x/2 =110/2

x=55

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{x + x + 70 = 180}^\circ[/tex]

[tex]\underline{\large\text{COMBINE the LIKE TERMS}}[/tex]

[tex]\large\textsf{(x + x) + 70 = 180}^\circ[/tex]

[tex]\large\textsf{x + x = \bf 2x}[/tex]

[tex]\large\textsf{2x + 70 = 180}^\circ[/tex]

[tex]\underline{\large\text{SUBTRACT 70 to BOTH SIDES}}[/tex]

[tex]\large\textsf{2x + 70 - 70 = 180 - 70}[/tex]

[tex]\large\text{CANCEL out: 70 - 70 because that gives you 0}[/tex]

[tex]\large\text{KEEP: 180 - 70 because helps solve for the x-value}[/tex]

[tex]\large\textsf{180 - 70 = \bf 110}[/tex]

[tex]\underline{\underline{\large\text{New equation: 2x = 110}}}[/tex]

[tex]\underline{\large\text{DIVIDE 2 to BOTH SIDES}}[/tex]

[tex]\large{\mathsf{\dfrac{2x}{2}=\dfrac{110}{2}}[/tex]

[tex]\large\text{CANCEL out: } \mathsf{\dfrac{2}{2}} \large\text{ because that gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{110}{2}}\large\text{ because that gives you the answer of the x-value}[/tex]

[tex]\mathsf{x = \dfrac{110}{2}}\\\\\large\textsf{x = 110}\div\large\textsf{2}\\\\\large\textsf{x = \bf 55}^\circ[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = \bf 55}}^\circ}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

x = 7.75       y = -0.125

Step-by-step explanation:

3x + 2y = 23                         1/2x - y = 4

2(1/2x - y) = (4)2                   1x - 2y = 8

    3x + 2y = 23

+   1x - 2y = 8

4x = 31

x = 7.75

3(7.75) + 2y = 23

23.25 + 2y = 23

2y = -0.25

y = -0.125

Answer:

1394

Step-by-step explanation:

Set up equation to find the number:

Variable n = number

65/100 = 1105/n

Cross multiply:

65 × n = 100 × 1105

65n = 110,500

n = 1700

Check your work:

1700 × 65%

Convert percentage into decimal:

1700 × 0.65

1105

Correct!

Find 82% of 1700:

Variable x = 82% of 1700

82/100 = x/1700

82 × 1700 = 100 × x

139,400 = 100x

1394 = x

Check your work:

1700 × 82%

1700 × 0.82

1394

Correct!

The 82% of the original number (1700) is approximately 1394.

Let's denote the original number as N. We know that 65% of N is equal to 1105. We can write this as:

65% of N = 0.65 * N = 1105

Now, to find the value of N, we can rearrange the equation to solve for N:

N = 1105 / 0.65

Now, calculate the value of N:

N ≈ 1700

So, the original number N is approximately 1700.

Next, we need to find 82% of this number. We can express this as:

82% of N = 0.82 * N

Now, substitute the value of N:

82% of 1700 = 0.82 * 1700

                     ≈ 1394

Thus, 82% of the original number (1700) is approximately 1394.

To summarize, first, we found the value of the original number (N) using the given information that 65% of N is equal to 1105. Then, we calculated 82% of N, which turned out to be approximately 1394.

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Answer/Step-by-step explanation:

Given:

86.32947

Let's find the place value of each digit

8 => tens which is 80

6 => unit which is 6

3 => tenth which is 0.3

2 => hundredth which is 0.02

9 => thousandth which is 0.009

4 => ten-thousandths which is 0.0004

7 => hundred-thousandth which is 0.00007

If you add all of the it will give you 86.32947

Thus:

1. 6 => b

2. 8 => g

3. 4 => e

4. 7 => d (there's a mistake in the number of zeros written.)

5. 9 => c

Answer:

Step-by-step explanation:

If the graph crosses the x-axis and appears almost linear at the intercept, it is a single zero. If the graph touches the x-axis and bounces off of the axis, it is a zero with even multiplicity. If the graph crosses the x-axis at a zero, it is a zero with odd multiplicity.

Answer:

The stock in last three days has a net gain of 3.

Step-by-step explanation:

The net change of the stock is the sum of daily changes in last three days. Please notice that positive sign means means for gain, whereas negative one is for loss. Based on information given on statement, we determine the net change in the stock:

[tex]x = -\left(8 + \frac{3}{8} \right)-\left(1+\frac{5}{8} \right) + 13[/tex]

[tex]x = 3[/tex]

The stock in last three days has a net gain of 3.

Answer:

99

Step-by-step explanation:

66 ÷ [tex]\frac{2}{3}[/tex]   = 66 * [tex]\frac{3}{2}[/tex] = 33* 3 = 99

Answer:

4. 12√3

5. -35√2

6. 5√2/2

Step-by-step explanation:

4. 3√12+2√27

= 3√(4×3) + 2√(9×3)

= 6√3+6√3

= 12√3

5. 5√8-9√50

= 5×2√2-9×5√2

= 10√2-45√2

= -35√2

6. 5/√2

= 5×√2/(√2×√2)

= 5√2/2

Answered by GAUTHMATH

Answer:

Cannot be determined.

Step-by-step explanation:

The triangle has three different angles which are not congruent. The sides of the two triangle are not equal therefore these triangle are not determined to be congruent. These triangles share their three angles but not the three sides.

The calculated measure of the angle QSR is 68 degrees

From the question, we have the following parameters that can be used in our computation:

Angle b = 136 degrees

The measure of angle QSR can be calculated using

QSR = 1/2 * Angle b

substitute the known values in the above equation, so, we have the following representation

QSR = 1/2 * 136 degrees

Evaluate

QSR = 68 degrees

Hence, the measure of angle QSR is 68 degrees

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Answer:

As the number of retail stands increase by one, the daily revenue increases by $2,298.36 on average, provided that the number of female visitors and food stands remains constant.

Step-by-step explanation:

This is gross relationship of regression model, multiple regression model describes net relationship. The net effect on number of retail stands on daily revenue. The average increase in daily revenue as the number of retail stands increases by one while other variables remains constant.

Answer:

7

Step-by-step explanation:

Answer:

x = t/4 and y = (t+17)/3

Step-by-step explanation:

4x-3y+17=0

or, 4x=3y-17

let, 4x = t

so, x = t/4

and 3y-17 = t

or, 3y = t+17

or, y = (t+17)/3

Answered by GAUTHMATH

Answer:

320 shirts

Step-by-step explanation:

Answer:

320 shirts

Step-by-step explanation:

If the shirts were around 400 in January, then you would assume that near June, the number of shirts sold would be 320 shirts.

Answer:

[tex] = { \tt{ \frac{125}{5} }} \\ = { \bf{25 \: frames \: per \: second}}[/tex]

Answer:

B. 25 frames per second

Step-by-step explanation:

To find the rate in frames per second, divide the total frames in 5 seconds by 5. This is because 5/5=1 and that way we're finding the frames per (one) second.

Therefore, we have:

[tex]\frac{125}{5}=\boxed{25\text{ frames per second}}[/tex]

Answer:

x=7.15

y=0.87

Step-by-step explanation:

First of all u need to let watermelon nd apples x&y. so after that what u have to do is substract the equations.

Answer:

Step-by-step explanation:

Use the Pythagorean Theorem

diagonal² = 16² + 12² = 400

diagonal = √400 = 20 cm

Answer:

2856

Step-by-step explanation:

This question is a little unclear. 6 times 17 times 28 is equal to 2856 if that is what you are trying to ask.

A. [tex]6x^2[/tex]+-5x+14x+-35

           [tex]6x^2[/tex]+9x-35

B. [tex]5x^4+-3x^3+10x^3+-6x^2[/tex]

           [tex]5x^4+7x^3-6x^2[/tex]

C. [tex]25x^2+-20x+20x+-16[/tex]

             [tex]25x^2-16[/tex]

D. [tex]x^4+-4x^2+-7x^2+28[/tex]

           [tex]x^4-11x^2+28[/tex]

[tex]====================================[/tex]

Step-by-step explanation:

A. (3x*2x)+(3x*-5)+(7*2x)+(7*-5)

        Multiply and simplify.

                [tex]6x^2[/tex]+9x-35

B. ([tex]x^2*5x^2[/tex])+([tex]x^2*[/tex]-3x)+(2x[tex]*5x^2[/tex])+(2x[tex]*-3x[/tex])

         Multiply and simplify.

              [tex]5x^4+7x^3-6x^2[/tex]

C. [tex](5x*5x)+(5x*-4)+(4*5x)+(4*-4)[/tex]

         Multiply and simplify.

                  [tex]25x^2-16[/tex]

D. [tex](x^2*x^2)+(x^2*-4)+(-7*x^2)+(-7*-4)[/tex]

         Multiply and simplify.

                [tex]x^4-11x^2+28[/tex]

I hope this helps!

But you should really do this yourself.

Answer:

1.54

Step-by-step explanation:

88° = 88° × π ÷ 180

= 88° × 3.142 ÷ 180

= 88° × 0.0175

= 1.54

Answer:

its octagon. first and last one it has total 8 sides

Answer:

6 inches by 6 inches

Step-by-step explanation:

Area of the square = 256 inches ²

Given equation:

(x + 10)² = 256

Where,

x = side measure of the original square

(x + 10)² = 256

(x + 10)(x + 10) = 256

x² + 10x + 10x + 100 = 256

x² + 20x + 100 = 256

x² + 20x + 100 - 256 = 0

x² + 20x - 156 = 0

Solve the quadratic equation by factorization

Find two numbers whose product is -156 and sum is 20

The numbers are -26 and 6

x² + 26x - 6x - 156 = 0

x(x + 26) - 6(x + 26) = 0

(x + 26) (x - 6) = 0

x + 26 = 0 or x - 6 = 0

x = -26 or x = 6

Side length of a square can not be negative

Therefore,

x = 6 inches

6 inches by 6 inches

Answer:

The required sum is 392

Step-by-step explanation:

Given the sum as shown;

[tex]\sum \left \77} \atop {a=1}} \right. (3a^2-4)[/tex]

When n = 1

f(1) = 3(1)²-4

f(1) = 3 - 4

f(1) = - 1

When n = 2

f(2) = 3(2)²-4

f(2) = 12 - 4

f(2) = 8

When n = 3

f(3) = 3(3)²-4

f(3) = 27 - 4

f(3) = 23

When n = 4

f(4) = 3(4)²-4

f(4) = 48 - 4

f(4) = 44

When n = 5

f(5) = 3(5)²-4

f(5) = 75 - 4

f(5) = 71

When n = 6

f(6) = 3(6)²-4

f(6) = 108 - 4

f(6) = 104

When n = 7

f(7) = 3(7)²-4

f(7) = 147 - 4

f(7) = 143

Taking their sum

Sum = f(1)+f(2)+(3)+f(4)+f(5)+f(6)+f(7)

Sum = -1 + 8 + 23 + 44 + 71 + 104 + 143

Sum = 392

Hence the required sum is 392