I don’t understand the question with the answer options?

Answer:

x = 70° ; y = 67°

Step-by-step explanation:

1) The triangle given in the picture is an isosceles triangle. So, the base angles will be equal to each other. (People do get confused and assume that x is a base angle. But in the figure , the triangle is rotated anticlockwise. So x is not a base angle).

Using angle sum property of triangles,

[tex]x+55+55=180[/tex]

[tex]=> x + 110 = 180\\[/tex]

[tex]=>x = 180-110=70[/tex]

2) Both the lines are parallel to each other and there's a transversal intersecting both the lines at 2 specific points. So ,

y = 67° (∵ Alternative Interior Angles are equal to each other when two lines are parallel and there's a transversal intersecting them)

Answer:

{1,3,4,5,6,7}

Step-by-step explanation:

Here , U represents the universal set

L’ = {2,4,6}

L’ is what we have in the universal set but not present in set L

(m n L’)

This is the set that contains the elements that are present in both set ONLY

So this is;

{2}

(M n L’)’ = {1,3,4,5,6,7}

N’ = {1,7}

So the union of both would be;

= {1,3,4,5,6,7}

Answer:

(b = 23 + a) and (a = 23 + b) = ab = 23 + ba

Step-by-step explanation:

Answer:

7+4x=13+x

4x-x=13-7

3x=6

3 3

x =2

Step-by-step explanation:

because when 7 crosses the equal to sign it becomes negative and when the x from the other side crosses the equal sign it also will become negative which will become 4x-x=13-7

which is 3x=6 so u divide both sides by the coefficient of x which is three which will give u 2

Answer:

8x

Step-by-step explanation:

Hope this helps:)

Answer:

No

Step-by-step explanation:

y=0 looks like |  and x=0 looks like -----  . This means that they are and not parallel

Answer:

-3.5

Step-by-step explanation:

-3 1/2 is the same as -3.5

-3.5 is negative, so it means that is below sea level, so it will be below the zero. if you don’t have the exact mark for -3.5, it will go betwee -3 and -4.

Answer:

[tex]*+24x+9 = 16x^2 + 24x + 9[/tex]

Step-by-step explanation:

Given

[tex]* + 24x + 9[/tex]

Required

Fill in the gap

[tex]* + 24x + 9[/tex]

Express 24x as a sum of equal halves

[tex]* + 12x + 12x + 9[/tex]

Group into two

[tex](* + 12x) + (12x + 9)[/tex]

Factorize 12x + 9

[tex](* + 12x) + 3(4x + 3)[/tex]

Ignore the incomplete part and focus on (4x + 3)

Since the binomial is a square, then the factors of the binomial are :

(4x + 3) and (4x + 3)

So, we have:

[tex](* + 12x) + 3(4x + 3) = (4x + 3)(4x + 3)[/tex]

Expand

[tex](* + 12x) + 3(4x + 3) = 16x^2 + 12x + 12x + 9[/tex]

[tex](* + 12x) + 3(4x + 3) = 16x^2 + 24x + 9[/tex]

Hence:

[tex]*+24x+9 = 16x^2 + 24x + 9[/tex]

Step-by-step explanation:

Y = 3 X-6

... . .... ... ...

Answer:

1/6

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

The circumference of a circle changes from (pre-image)20 to 4(image) after a dilation.

[tex]Scale\ Factor=\frac{Circumference\ of\ image}{Circumference\ of\ pre-image} \\\\Scale\ Factor=\frac{4}{20}\\\\Scale\ Factor=\frac{1}{5}[/tex]

Answer:

4 and one fourth

Step-by-step explanation:

Answer:

4 is the best answer for it

Answer:

c??

Step-by-step explanation:

The coordinates of B are (1,2).

A midpoint is a point lying between two points and is in the middle of the line joining the two points.

Given that, Point C (3, 4) is the midpoint of AB If the coordinates of A are (7, 6),

Formula of midpoint coordinates = (x1+y1)/2, (x2+y2)/2

Therefore, (7+x)/2, (6+y)/2 = (3,4)

Comparing both side, we get,

(7+x)/2 = 3

x = 1

And, (6+y)/2 = 4

y = 2

Hence, The coordinates of B are (1,2).

For more references on Midpoints, click;

https://brainly.com/question/28224145

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Answer: A

Step-by-step explanation: I did this on paper so its hard for me to write it done, like I cant copy and paste lol.

Answer:

It’s b I think

Step-by-step explanation:I is big dumb

Answer:

[tex]b=24[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}b-16=-4[/tex]

First, start by adding [tex]16[/tex] to both sides of the equation:

[tex]\frac{1}{2} b=12[/tex]

To make this problem easier, it would be a good idea to identify [tex]0.5[/tex] as the decimal equivalent of the fraction [tex]\frac{1}{2}[/tex]:

[tex]0.5b=12[/tex]

Divide both sides of the equation by the coefficient of [tex]b[/tex], which is [tex]0.5[/tex].

(**Tip: Dividing by a half is the same as multiplying by [tex]2[/tex]):

[tex]b=24[/tex]

-

To check our work and solution, substitute the solved value of [tex]b[/tex], ([tex]24[/tex]), into the initial equation:

[tex]\frac{1}{2}b-16=-4[/tex]

[tex]\frac{1}{2}(24)-16=-4[/tex]

[tex]12-16=-4[/tex]

[tex]-4=-4[/tex]

Since both sides of the equation are equal, our solution is correct!

Answer:

b = 24

Step-by-step explanation:

[tex]\sf \dfrac{1}{2}b-16=-4[/tex]

Add 16 to both sides.

[tex]\sf \dfrac{1}{2}b=-4+16\\\\ \sf \dfrac{1}{2}b=12[/tex]

Multiply both sides by 2.

[tex]\sf2* \dfrac{1}{2}b=12*2\\\\1b=24[/tex]

Divide both sides by 1.

[tex]\sf b = \dfrac{24}{1} \\\\b =24[/tex]

Answer:

Hey there. Heres ur answer

Fifth degree polynomials are also known as quintic polynomials. Quintics have these characteristics:

One to five roots.

Zero to four extrema.

One to three inflection points.

Answer:

The resulting equation in the vertex form is  [tex](y-4)=-(x-4)^2[/tex] having the vertex at the point (4,4).

Step-by-step explanation:

The given function is f(x) = -x² + 8x-7.

As the given function is translated 5 units down, so, subtract 5 units in the given function.

The resulting function, y = f(x) -5

[tex]\Rightarrow y= - x² + 8x - 7 - 5 \\\\\Rightarrow y = - x² + 8x - 12[/tex]

Now converting the obtained equation to vertex form,

[tex]y= - x² + 8x - 12 \\\\\Rightarrow y = -(x^2-8x+12) \\\\[/tex]

Adding and subtraction 4 as

[tex]y= -(x^2-8x+12+4-4) \\\\\Rightarrow y= -(x^2-8x+16-4) \\\\\Rightarrow y= -((x-4)^2-4) \\\\\Rightarrow (y-4)=-(x-4)^2[/tex]

The vertex of the above equation is (4,4).

Hence, on translating five units in the downwards direction, the resulting equation in the vertex form is  [tex](y-4)=-(x-4)^2[/tex] having the vertex at the point (4,4).

On translating five units in the downwards direction, the resulting equation in the vertex form is (y-4)=-(x-4)² having the vertex at the point (4,4).

The given function is f(x)= -x²+8x-7.

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other.

When the shape is moved down by k units, then replace y with y - k.

The function f(x) = -x² + 8x-7 is translated five units down.

That is, y=f(x)-5

y=-x² + 8x-7-5

y=-x² + 8x-12

Subtract 4 on both the sides of an equation, we get

(y-4)=-x² + 8x-12-4

(y-4)=-x² + 8x-16

(y-4)=-(x²-8x+16)

(y-4)=-(x-4)²

Hence, on translating five units in the downwards direction, the resulting equation in the vertex form is (y-4)=-(x-4)² having the vertex at the point (4,4).

To learn more about the translation visit:

https://brainly.com/question/17485121.

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Answer:

A is the answer

Step-by-step explanation:

Answer:

C.

The relative frequency is 0.3. It is likely that most ducks are yellow.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Get good

Answer:

around 56-57

Step-by-step explanation:

Answer:

[tex]\mathbf{- 20 \pi + \dfrac{40}{3}}[/tex]

Step-by-step explanation:

Given that:

[tex]\int\limits_c {F} \, dr[/tex]

where;

[tex]F(x,y) = \langle\sqrt{x} + 10y^3+10y^2 + \sqrt{y} \rangle[/tex] and C consist of the arc of the curve, This shows that C is a closed curve.

Thus, using Green's theorem for clockwise orientation.

[tex]\int \limits_CF. dr = \iint_D \Biggl \langle \dfrac{\partial Q}{\partial X} - \dfrac{\partial P }{\partial Y} \Biggl \rangle dA[/tex]

Then;

[tex]F(P,Q) = \langle\sqrt{x} + 10y^3+10y^2 + \sqrt{y} \rangle[/tex]

[tex]\int \limits _CF. dr = -\iint_D \Biggl \langle \dfrac{\partial}{\partial} ( 10x^2 + \sqrt{y} -\dfrac{\partial}{\partial y } ( \sqrt{x} + 10y^3) \Biggl \rangle dA[/tex]

[tex]\int \limits _CF. dr = -\iint_D \Biggl \langle 10(2x)-10(3y^2) \Biggl \rangle dA[/tex]

[tex]\int \limits _CF. dr = \iint_D \Big \langle -20x+30y^2 \Big \rangle dA[/tex]

y → 0 to sin (x)        x → 0 to π

[tex]\int \limits _CF. dr = \int \limits ^{\pi}_{0} \int \limits ^{sin \ x }_{0} \Big \langle -20x+30y^2 \Big \rangle dydx[/tex]

[tex]\int \limits _CF. dr = \int \limits ^{\pi}_{0} \Biggl [ -20xy + \dfrac{30 \ y^3}{3} \Biggl ] ^{sin\ x}_{0} \ dx[/tex]

[tex]\int \limits _CF. dr = \int \limits ^{\pi}_{0} \Big [ -20x \ sin x + 10 \ sin^3x \Big ] \ dx[/tex]

replace [tex]sin^3 x = \dfrac{3}{4} \ sin x - \dfrac{1}{4} \ sin (3x)[/tex]

[tex]= \int \limits ^{\pi}_{0} -20 x sin x dx + \int \limits ^{\pi}_{0} 10(\dfrac{3}{4} sin x - \dfrac{1}{4} sin (3x) ) \ dx[/tex]

By applying integration by posits

[tex]\int (u)(v') \ dx = (u)(v) - \int (u') (v) \ dx \\ \\ u = -20x \ \ \ \ \ \ \ v'= sin \ x \\ \\ u' = -20 \ \ \ \ \ \ \ v = - cos \ x[/tex]

[tex]= (-20x) (-cos x) - \int (-20)(-cos x) \ dx + 10 \Big [\dfrac{3}{4} \ cos x + \dfrac{1}{12}\ cos (3x) \Big ][/tex]

[tex]= 20x \ cos x - 20 \ sin x- \dfrac{15}{2} \ cos \ x + \dfrac{5}{6} \ cos (3x) \Biggl |^{\pi}_{0}[/tex]

[tex]= ( -20 \pi -0 +\dfrac{15}{2}-\dfrac{5}{6}) - (0-0-\dfrac{15}{2}+\dfrac{5}{6})[/tex]

[tex]= - 20 \pi + \dfrac{15}{2}-\dfrac{5}{6}+\dfrac{15}{2}-\dfrac{5}{6}[/tex]

[tex]\mathbf{= - 20 \pi + \dfrac{40}{3}}[/tex]

Answer:

x=8

Step-by-step explanation:

Solve for x

2x-6=10  inverse of subtraction is addition

   +6  +6

2x=16  divide by 2 to get x by itself

--    --

2     2

x=8

Answer:

The answer is ×=8

Step-by-step explanation:

x=8 nc u add 6 on both sides then divide by 2 .

Answer:

x=6,-4

Step-by-step explanation:

Answer:

x=6,-4

Step-by-step explanation:

Answer: it is 29.36

Step-by-step explanation:

Decrease In Amount: $416

Year End Amount: $5984

Answer:

x=3

Step-by-step explanation:

for 17.

we have that x=8 as one solution

then we have

x-8=0

so we know that

[tex]f(x)=(x-8)(something)[/tex]

[tex]\frac{f(x)}{x-8}=something[/tex]

so we divide and get that

[tex]something = x^{2} -6x+9x[/tex]

and we can factor it as

[tex](x-3)(x-3)[/tex]

so the other solutions are

x-3 =0

x = 3

this is a normal division

Answer (#17):

(x-3) (x-3) or (x-3)²

Step-by-step explanation:

See attachment to find simplified equation. I can't explain synthetic division very well. Please find other sources to learn synthetic division or traditional algebraic long division.

Anyway, the image should be read first while this text explains the second part. Now you have the second equation, it can be factored down.

[tex]x^2-6x+9 = (x-3)(x-3)[/tex]

The function in factored form is : (x-3) (x-3)