Work out the size of angle x

Answer: The sum of the interior angles of a polygon shown  in the picture is [tex]540^{\circ}[/tex].

Step-by-step explanation:

The given polygon is a regular pentagon having 5 sides.

The sum of the interior angles of a regular polygon is given by :-

[tex](n-2)\times180^{\circ}[/tex], wherer n= number of sides of the regular polygon.

Since it has 5 sides, then the sum of the interior angles of a polygon would be

[tex](5-2)\times180^{\circ}\\\\=3\times180^{\circ}\\\\=540^{\circ}[/tex]

Hence, the sum of the interior angles of a polygon shown  in the picture is [tex]540^{\circ}[/tex].

Answer: A is correct

Step-by-step explanation:

They’re the only lines perfectly parallel, I got this correct

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

a) modal number of teachers in a car is 3

b) median number of teachers in a car is 3

c) mean number of teachers in a car is 2.5

Step-by-step explanation:

Answer:

D and B

Step-by-step explanation:

hope this is correct!

The following appears in the diagram below are:

XZ and XY and ∠ZXY.

Options B, C, and D are the correct answer.

In mathematics and geometry, an angle is a measure of the amount of rotation or turn between two lines or line segments that meet at a common endpoint, called the vertex of the angle.

Angles are typically measured in degrees (°) or radians (rad).

A full rotation around a point is 360 degrees or 2π radians.

We have,

An angle is a measure of the amount of rotation or turn between two lines or line segments that meet at a common endpoint, called the vertex of the angle.

Arc length is the distance along the curve of a circle or any other curved shape. It is defined as the length of the portion of the circumference of a circle or a portion of a curve between two endpoints, measured along the arc of the curve.

From the diagram,

XZ and XY are arc lengths.

∠ZXY is an angle.

Thus,

The following appears in the diagram below are:

XZ and XY and ∠ZXY.

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Answer:

m arc AJ = 78°

Step-by-step explanation:

If angle A is 101° that means arc LKJ is 202° (the measure of an arc that an inscribed angle intercepts is twice the angle measure).  If arc LKJ is 202° and arc LK is 122°, then arc KJ is 80° (m arc LK + m arc KJ = m arc LKJ).

If angle L is 79°, then the m arc AJK = 158° (the measure of an arc that an inscribed angle intercepts is twice the angle measure). If m arc AJK = 158° and m arc KJ is 80°, then the m arc AJ is 158 - 80 = 78º

edit: i think im right but im not completely sure

edit#2: i checked my answer portal after turning it in and yeah im right

Answer:

  R(y=x) = (x, y) → (y, x)

Step-by-step explanation:

The coordinates of A are (-2, 1).

The coordinates of A' are (1, -2).

Clearly, the values have been swapped in accordance with ...

  (x, y) → (y, x)

This is the result of a reflection across the line y = x. Hence the rule and its name are ...

  R(y=x) = (x, y) → (y, x)

Answer:

R(y=x) = (x, y) → (y, x)

Step-by-step explanation:

egd2020

Answer:

4, I believe

Step-by-step explanation:

400 students

100 buses

400/100=4

Answer:

4

Step-by-step explanation:

There are 400 students, and 100 buses, so number of student in each bus= 400/100

= 4

Answer:

x=15(1/3√y)

Step-by-step explanation:

X varies indirectly with the cube root of y

x=k/3√y

x=3 when y=125

3=k/3√125

3=k/5

3=k(1/5)

k=3÷1/5

k=3×5/1

k=15

x=15(1/3√y)

Answer:

[tex]V=150cm^3[/tex]

Step-by-step explanation:

First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.

The area of the triangle is given by the  formula:

[tex]A_T=\frac{bh}{2}[/tex]

where b is the base: [tex]b=4cm[/tex] and h is the height: [tex]h=5cm[/tex]

thus, in this case we have:

[tex]A_T=\frac{(4cm)(5cm)}{2}\\ \\A_T=\frac{20cm^2}{2} \\\\A_T=10cm^2[/tex]

And now, the volume will be the area of the triangle multiplied by the length [tex]l=15cm[/tex] of the prism:

[tex]V=A_T*l[/tex]

Substituting the known values:

[tex]V=10cm^2*15cm\\V=150cm^3[/tex]

The volume in cubic centimeters is 150.

Answer:

The answer is "The calculated ratio of the central angle to the entire circle is 1:2".

Step-by-step explanation:

Let,

MNL angle [tex]= \pi[/tex]

So, the entire circle is  [tex]= 2\pi[/tex]

The ratio of the central angle to the entire circle is:

[tex]\Rightarrow \frac{\pi}{2\pi}\\\\\Rightarrow \frac{1}{2}\\\\[/tex]

Hence, the calculated ratio is =  1:2.

Answer:

1. 5 times

2. 60 times

Step-by-step explanation:

there is only one a so its 1/4 times 20 and 4 because that is the total

20/4= 5

there is 3 because there is letters that are not a

3/4 times 80

240/4

1. The number of times expected that should be landed on A should be 5 times.

2. The number of times expected should be 60 times.

1. Since A spinner has four equal sections, with one letter from the word "MATH" in each section.

So, here the number of times should be

= [tex]20\div 4[/tex]

= 5

2. The number of times should be

[tex]= 3/4 \times 80\\\\= 240\div 4[/tex]

= 60

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Answer:

The lenght is 8 cm

Step-by-step explanation:

Answer:

8 cm.

Step-by-step explanation:

The area of the square base = volume / height

= 960/15

= 64 cm^2.

So the length of each side of the square base = √64

= 8 cm.

Answer:

D is the correct answer

Step-by-step explanation:

V=πr2h

3=π·52·12

3≈314.15927

Thank me later

Hope this helps!!!

Answer:

Yes you are correct

Step-by-step explanation:

Answer:

F(-2)=G(-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given lines are

[tex]2x-4y=8[/tex]

[tex]4x+2y=8[/tex]

Let's rewrite each equation in the form [tex]y=mx+b[/tex]

[tex]2x-4y=8\\2x-8=+4y\\y=\frac{2x-8}{4} \\y=\frac{x}{2}-2[/tex]

[tex]4x+2y=8\\2y=8-4x\\y=\frac{8-4x}{2}\\ y=4-2x[/tex]

Now, let's use the perpendicular rule

[tex]m_{1} \times m_{2} =-1\\\frac{1}{2} \times (-2)=-1 \implies -1=-1[/tex]

As you can observe, the slopes satisfy the perpendicular rule, that means the lines are perpendicular.

Therefore, the right answer is the second choice because it states the rule of perpendicularity between the given lines.

Answer:

They are perpendicular because they have slopes that are opposite reciprocals of −2 and .

Step-by-step explanation:

I took the test and the dot is 1/2

Answer:

[tex] \dfrac{53}{8} [/tex]

Step-by-step explanation:

[tex] \dfrac{5}{8} = \dfrac{x - 1}{9} [/tex]

Cross multiply.

[tex]8(x - 1) = 9 \times 5[/tex]

[tex] 8x - 8 = 45 [/tex]

[tex] 8x = 53 [/tex]

[tex] x = \dfrac{53}{8} [/tex]

Answer: x = 53/8

Step-by-step explanation:

5/8 = x-1 / 9

45 = 8(x-1)

45 = 8x - 8

-8x = -8 - 45

x = 53/8

Answer:

a:  1.8          b: 11.8       c: 23.6

Step-by-step explanation:

Oml fellow FLVS student here, it would be C.:)

Explanation: I got it right lol

In the given graph, interval C could be described as linear decreasing.

"An  interval is a set of real numbers that contains all real numbers lying between any two numbers of the set."

In the given graph,

A is the interval(0, 2) where the graph is linear increasing.

B is the interval(2, 4) where the graph is constant.

C is the interval(4, 5) where the graph is linear decreasing.

D is the interval(5, 8) where the graph is linear increasing.

Therefore, the required interval is C.

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Answer:

Step-by-step explanation:

You'll need to use parentheses here to remove ambiguity regarding what's in your denominators:

          x - 8                   x - 8

y = ------------------  =  -----------------

      x^2 + 6x - 7        (x + 7)(x - 1)

This last result becomes undefined at x = -7 and x = 1, and thus its graph is discontinuous at those x- values.

The points of discontinuity is x = -7, x = 1

Use parentheses to remove ambiguity considering the denominators

[tex]y=x-8/x^{2} +6x-7[/tex]

= x-8 ÷ (x+7)(x-1)

The result becomes undefined at x = -7

and x = 1,  

thus its graph is discontinuous at those x values.

Therefore the points of discontinuity is x =-7 and x = 1.

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Answer:

4/5 which is 80%

Step-by-step explanation:

there is a total of 5 which means that the probability to not land on green is 4/5

which in decimal form is .8

which in percent is 80%

Answer: I cant tell which one is a or b or c or d but ill say its b

Answer:

x = 8

Step-by-step explanation:

5x - 10 + 7 = 37

5x - 3 = 37

5x = 40

x = 8

Answer:

45 x 45 = 2025

Step-by-step explanation:

Answer:

The numbers are 72 and 96.

Step-by-step explanation:

LCM + GCF = 312

LCM - GCF = 264

2*LCM = 576

LCM = 576/2 = 288

HCF = 312–288 = 24

The product of two numbers = HCF*LCM

Let the numbers be x and (168-x)

x(168-x) = 24*288 = 6912

x^2–168x+6912 = 0

x = [168 +(168^2 -4*6912)^0.5]/2

= [168 +(28224–27648)^0.5]/2

= [168 + 576^0.5]/2

= (168+24}/2

= 192/2

= 96 and the other number is 168–96 = 72.

Answer:

The answer is C. Forclosure

Answer:

Refinance the balloon payment

Step-by-step explanation:

AP3X

Answer:

I THINK its D and E because C can simplify to 2/3 and 1/2 making C wrong.

Step-by-step explanation:

Answer:

B  C  

Step-by-step explanation:

Find the common denominators

For example: 1/3 [tex]\leq[/tex]4/12

It is 12

3 goes into 12 4 times

so now its

?/12[tex]\leq[/tex]4/12

4*1 is 4 so its

4/12[tex]\leq[/tex]4/12

The coordinates of D'E'F' after reflection are,

D' = (0, - 3)

E' = (1, 0)

F' = (2, - 1)

We have to given that,

Triangle DEF has vertex coordinates D(0, -3), E(-1,0), and F(-2,-1).

Here, Triangle DEF is reflected across the y-axis.

The rule for a reflection over the y -axis is,

(x, y) → (- x, y)

Hence, the coordinates of D'E'F' after reflection is,

D' = (0, - 3)

E' = (- (- 1), 0) = (1, 0)

F' = (- (- 2), (- 1)) = (2, - 1)

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Hey There!

x² + 5x - 36

---- x²+ ( 9 - 4)x - 36

---- x² + 9x - 4x - 36

---- x ( x + 9 ) - 4 (x + 9 )

---- ( x - 4 ) ( x + 9 )

~KEEP EXPLORING! < 3