Find the Sum.
29, 8 67
+ 14, 938

Answer:

  A.  x = 4

  B.  ∠C = 80°

Step-by-step explanation:

The sum of interior angles in a pentagon is 540°. We can write an equation for the sum of angles using this fact. Clockwise from lower left, we have ...

  140° +(20x)° +100° +(16x +16)° +(160 -5x)° = 540°

  31x +416° = 540° . . . . . . collect terms

  31x = 124° . . . . . . . . . . subtract 416°

  x = 4

__

The measure of angle C is found by substituting the value of x into the given expression for angle C.

  (16x +16)° = (16(4) +16)° = 80°

Angle C is 80°.

_____

Additional comment

It can be useful to remember that the sum of interior angles of an n-gon is ...

  (180°)(n -2)

This can be derived from the fact that the sum of exterior angles is always 360°.

These relations apply to convex polygons. YMMV when there are reflex angles or when sides cross each other.

The opposite sides PQ and RS of the parallelogram PQRS are congruent

The value of the length QS is 6 cm

The given parameters are:

PQ = 4x - 1

RS = 3x + 7

Opposite sides are congruent.

So, we have:

4x - 1 = 3x + 7

Collect like terms

4x - 3x = 1 + 7

Evaluate the expressions

x = 8

The perimeter is calculated using:

Perimeter = 2(QS + RS)

This gives

2(QS + RS) = 74

Divide by 2

QS + RS = 37

Substiute RS = 3x + 7

QS + 3x + 7 = 37

Substitute 8 for x

QS + 3*8 + 7 = 37

This gives

QS + 31 = 37

Subtract 31 from both sides

QS = 6

Hence, the value of the length QS is 6 cm

Read more about parallelograms at:

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Answer:

6cm or b

Step-by-step explanation:

The linear equation that represents the graph is 3/2x - 3 = y

Data;

From the given graph, we can see at the x-axis that the line touches at point 2 and at the y-axis, the line touches at point 3.

If we decide to multiply through by 3 to eliminate the fraction, the equation would look like this.

[tex]\frac{3x}{2} -3 = y\\2(\frac{3x}{2}) -3(2) = 2(y)\\3x - 6 = 2y[/tex]

Kindly find the attached image of the graph.

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Answer:

The answer should be C=50

Step-by-step explanation:

Step-by-step explanation:

Perimeter=2(l+b)

=2(152+120)

=544 cm

Answer:

12 pieces of cake

Step-by-step explanation:

4 pieces for each cake

there is a total of three cakes

needed to find total pieces of cakes

multiply 4 by 3 and you will get 12 pieces of cake.

Answer:

Miko has 12 pieces of cake

Answer:

point A is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

[D]

Step-by-step explanation:

Graph using the end point and a few selected points.

x            y

0           2

1            3

2        3.41

Graph is below:

[RevyBreeze]

Answer:

Step-by-step explanation:

We would like to calculate the centre and the radius of the circle . The given equation is ,

[tex]\longrightarrow (x - 4)^2+(y+3)^2=74 [/tex]

As we know that the Standard equation of circle is given by ,

[tex]\longrightarrow (x - h)^2+(y-k)^2=r^2[/tex]

where ,

We can rewrite the equation as ,

[tex]\longrightarrow (x-4)^2+\{ y -(-3)\}^2=(\sqrt{74})^2\\ [/tex]

Now on comparing to the standard form , we have ;

Graph :-

[tex] \setlength{\unitlength}{7mm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\circle*{0.2}}\put(0.2, - .1){(4,-3)}\put(-1.2,0){\vector(0,1){5}}\put(-1.2,0){\vector(0, - 1){5}}\put(-1,0.7){\vector(1,0){5}}\put(-1,0.7){\vector( - 1,0){5}}\put(0,0){\line(-1,0){2.3}}\put( - 1.2,-0.7){$\sf \sqrt{74}$}\put(2,6){$\boxed{\sf \textcopyright \: RISH4BH }$}\end{picture} [/tex]

And we are done !

We are given the equation of circle (x - 4)² + (y + 3)² = 74 , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;

So, consider the equation of circle ;

[tex]{:\implies \quad \sf (x-4)^{2}+(y+3)^{2}=74}[/tex]

Can be further written as ;

[tex]{:\implies \quad \sf (x-4)^{2}+\{y-(-3)\}^{2}=({\sqrt{74}})^{2}}[/tex]

On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows

Answer:

- 88

Step-by-step explanation:

[tex]f(x ) = - 7 {x}^{2} + 8x - 8 \\ plug \: x = 4 \\ \\ \implies \: f(4 ) = - 7 {(4)}^{2} + 8(4) - 8 \\\\ \implies \: f(4 ) = - 7 \times 16 + 32 - 8 \\\\ \implies \: f(4 ) = - 112+ 32 - 8 \\ \\ \implies \: f(4 ) = - 120+ 32 \\\\ \implies \: f(4 ) = - 88 \\[/tex]

========================================================

Explanation:

We have a triangle with these side lengths

Computing a^2+b^2 gets us

a^2+b^2 = 18^2+22^2 = 808

Compare this to c^2

c^2 = 29^2 = 841

Because 808 < 841, this means a^2+b^2 < c^2

-------------------

We have three cases:

For more information, check out the converse of the Pythagorean Theorem.

Answer:

Step-by-step explanation:

hello :

note : the vertex form is :

ax²+bx+c = a(x+(b)/(2a))²-  delta/4a²   and   delta = b²- 4ac

in this exercice you have : a =1    b = 16   and  c=64

continu ..........

Answer:

38

Step-by-step explanation:38 because  108. x = 17. 2x + 4 = 34 + 4 = 38

The next two times at which the hands of the clock will be perpendicular are at 1:20 and at 1:50.

The two hands will be perpendicular when the angle between them is 90°. Remember that every 5 minutes that the minute clock moves, there is an angle of 30°.

Each hour that the hour hand moves, there is an angle of 30°.

The first time that we will have an angle of 90° between the hands is at:

1:20

Because the minute hand is at an angle of -30° with respect to the x-axis at 20 minutes, and the hour hand is at an angle of 60° at 01.

The next time will be when the minute clock moves another 30 minutes (half the circle) and this will be at 01:50.

If you want to learn more about angles, you can read:

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Answer:

please report my answer

Step-by-step explanation:

I want my account deleted

Answer:

17

Step-by-step explanation:

16+17+18=51

I knew the highest number had to be lower than 20. So I did 17+18+19. That didn't work but noticed it was close to 51. Tried 16+17+18 and it equals 51 :)

Answer:

well friend you answer is

Step-by-step explanation:

a+ 3/56

i hope this helped

Answer:

Step-by-step explanation:

The appropriate symbolic expression would be

a + 3²

---------

  56

This is because there's one space labeled "2" out of 38 spaces total.

This fraction is approximately equal to 1/38 = 0.0263 meaning there's roughly a 2.63% chance of landing on this space.

The probability is 0.0263 that the ball will land on 2 in a random spin of the wheel.

The probability is defined as the possibility of an event is equal to the ratio of the number of outcomes and the total number of outcomes.

Assuming an unbiased wheel.

The probability of an event = number of favourable outcomes/ number of total outcomes.

The total number of outcomes is 38

The number of favourable outcomes is one because there's one space labeled "2" out of 38 spaces total.

The probability of an event = 1/38 = 0.0263

Hence, the probability is 0.0263 that the ball will land on 2 in a random spin of the wheel.

Learn more about probability

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Answer:

113 ft²

Step-by-step explanation:

π = 3.14
r = 6

Use the formula for the area of a circle:
A = πr²
A = 3.14*6²
A = 3.14*36
A = 113.04
A = 113
Hope this helps :)

Answer:

Area = 113 ft²

Step-by-step explanation:

The formula to find the area of a circle is:

Area = π × r²

r is the radius that can be found by taking half of the diameter.

r = [tex]\frac{12}{2}[/tex] = 6

Area = π × 6²

Area = π × 36

Area = 113.09 = 113 [ to the nearest whole number ]

Answer:

25(m+3)

Step-by-step explanation:

25 is multiplied by (m+3)

'the sum of m and 3' is a quantity which must be indicated using parentheses

Hello!

The sum of means we add:

m+3

Multiply it times 25:

25(m+3)

The answer is Option C.

Now, the option you selected is wrong for the following reasons:

If you translate it into a verbal phrase, this is what it means:

25 plus the product of m and 3

Hence, Option C is correct.

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power! :-)

Answer:

A. 108

sorry if im wrong but if u am I'm so sorry

Answer:

The equation is written in slope-intercept (y = mx + b) form. Therefore, the '4' represents the slope of the line, and the '-1' represents the y-intercept.

Answer:

14*2

Step-by-step explanation:

8 x {22 x [15 + (14 x 2)]}

With multiple parentheses work from the inside out

The inner most parentheses are

14*2

Answer:

87% of all the packets of biscuits Jemima displayed on the shelves.

Step-by-step explanation:

400-52=348

so, 348*25%

348*25/100

87

Answer:

Answer:

12.3

Step-by-step explanation:

11+6 +9 +16 +12 +18 +14 =86

86/7 = 12.28571

Tenths is the place value of the digit that appears after the decimal. It represents the 1/10 position of the digit

          (12.3) rounded  to the nearest tenth.

Answer:

k^2+25

Step-by-step explanation:

Factor k^2+25

=k^2+25

Doesn't factor

Answer:

The standard form of the equation of the ellipse is x² + y²/36 = 1

Step-by-step explanation:

* Lets revise the standard equation of the ellipse

- The standard form of the equation of an ellipse with  

 center (0 , 0) is  x²/b² + y²/a² = 1

where,

* the length of the major axis is 2a

* the coordinates of the vertices are (0 , ±a)

* the length of the minor axis is 2b

* the coordinates of the co-vertices are (±b , 0)

*  the coordinates of the foci are (0 , ± c),  where c² = a² - b²

* Now lets solve the problem

∵ The vertex of the ellipse is (0 , 6)

∴ a = 6

∵ The co-vertex is (1 , 0)

∴ b = 1

∵ the center is the origin (0 , 0)

∵ The standard form equation is x²/b² + y²/a² = 1

∴ x²/(1)² + y²/(6)² = 1 ⇒ simplify

∴ x² + y²/36 = 1

* The standard form of the equation of the ellipse is x² + y²/36 = 1

Answer:

A) 9 and 15.

Step-by-step explanation:

First, let's see what each number's factor is:

A)

9 : 1, 3 & 9

15 : 1, 3, 5 & 15

B)

6 : 1, 2, 3 & 6

10 : 1, 2, 5 & 10

C)

8 : 1, 2, 4 & 8

12 : 1, 2, 3, 4, 6 & 12

Therefore, The number 3 is a common factor of A) 9 and 15.

___

The one thing wrong with the answer is option B. The minus signs should be plus signs.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given quadratic is 4x²+12x+9

Taking common 4

4(x²+3x) + 9

=4(x² + 3x + 9/4) + 9 - 9

=4(x + 3/2)²

=(2x+3)²

=(2x+3)(2x+3)

So, the minus sign must be a plus sign. option B is correct.

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Answer:

9×4 - 10 fours - 26 fours

Step-by-step explanation:

9×4 - 10 fours - 26 fours

Answer:

144√3 square feet

Step-by-step explanation:

There is a 30°-60°-90° triangle. In this triangle, the longer leg, which is the height of this parallelogram, is √3 times the length of the shorter leg (8 feet). Multiplying base times height, we have

18 * 8√3, which is 144√3 square feet.