Find measure of angles B, E, D and C and the length of BC.

Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.

Given:

The given equation is:

[tex]y=-4x+3[/tex]

A line is perpendicular to the given line and passes through the point (4,-1).

To find:

The equation of required line.

Solution:

The slope intercept form of a line is:

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

Where, m is slope and b is y-intercept.

We have,

[tex]y=-4x+3[/tex]

Here, the slope of the line is -4 and the y-intercept is 3.

Let the slope of required line be m.

We know that the product of slopes of two perpendicular lines is -1. So,

[tex]m\times (-4)=-1[/tex]

[tex]m=\dfrac{-1}{-4}[/tex]

[tex]m=\dfrac{1}{4}[/tex]

The slope of required line is [tex]m=\dfrac{1}{4}[/tex] and it passes through the point (4,-1). So, the equation of the line is:

[tex]y-(-1)=\dfrac{1}{4}(x-4)[/tex]

[tex]y+1=\dfrac{1}{4}(x)-\dfrac{4}{4}[/tex]

[tex]y=\dfrac{1}{4}x-1-1[/tex]

[tex]y=\dfrac{1}{4}x-2[/tex]

Therefore, the equation of the required line is [tex]y=\dfrac{1}{4}x-2[/tex].

Answer:

x/7 - 2 = y

Step-by-step explanation:

To find the inverse of a function, we switch f(x) and x and then solve for f(x). We thus have

x = 7f(x) + 14

subtract 14 from both sides to isolate the f(x) and its coefficient

x - 14 = 7 f(x)

divide both sides by 7 to isolate the f(x)

(x-14)/7 = f(x)

f(x) is synonymous with y here. so we havt

(x-14)/7 = y

This can also be written as

x/7 - 14/7 = y

x/7 - 2 = y

Answer:

[tex]5x^2-9x-1[/tex]

Step-by-step explanation:

f - g

[tex]=5x^2-4x -(5x+1)\\\\=5x^2-4x-5x-1\\\\=5x^2-9x-1[/tex]

Answer:

The angle is 60°

Step-by-step explanation:

A supplement angle is the angle whose sum is equal to 180°.

The supplement angle = 180° - x

A complement angle is the angle whose sum is equal to 90°.

The complement angle = 90° - x

Given,

supplement angle = 4 × complement angle

(180° - x) = 4 × (90° - x)

180° - x = 360° - 4x

4x - x = 360° - 180°

3x = 180°

x = 60°

The supplement angle = 180° - x

⇒ 180° - 60°

⇒ 120°

The complement angle = 90° - x

⇒ 90° - 60°

⇒ 30°

Answer:

The angle is 60 degrees.

Step-by-step explanation:

Let the angle be x.

Then its supplement = 180-x.

Its complement = 90-x, so we have the equation:

180 - x = 4(90 - x)

180 - x = 360 - 4x

-x + 4x = 360 - 180

3x = 180

x= 60 degrees.

Answer:

y=41

Step-by-step explanation:

Let us start by writing an equation. 4 plus y divided by 5 equals to 9 :

[tex]\frac{4+y}{5}=9[/tex]

Great! Now let us solve for the variable, y, by isolating the terms:

[tex]4+y=45\\y=41[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

I think 2 points

Step-by-step explanation:

I may be wrong bc I suck at algebra. literally who is gonna use algebra ever?

Answer: two points hope it helps

Answer:

D)

Step-by-step explanation:

All sides are congruent because all sides are the same.

Hope this helps!

-kiniwih426

Answer:

13 points

Step-by-step explanation:

Equation for "There are 50 athletes signed up for a neighborhood basketball competition. Players can select to play in the 6-player games ("3 on 3") or the 2-player games ("1 on 1").

Equation for "If the neighborhood holds 13 total games and all 50 athletes participate"

How many 6 player games?

How many 2 player games?

The answer to this question is:

7 two-player games are played

6  six-player games are played

What are system of equations?

A collection of two or more equations with the same set of unknowns is referred to as a system of equations.

Systems of linear equations in two variables can be solved in one of three ways:

Solution:

Given:

Total games = 13

Total number of athletes participated = 50

Find:

6-player games played = ?

2-player games played = ?

Step-1:

let x denote the total 2-player games played &

    y denote the total 6-player games played.

Hence the equation for the total number of games played is:

                     x + y = 13 ..............eq(1)

Now, the equation for the total number of games played by the athletes is:

                    2x + 6y = 50............eq(2)

Further eq(2) can be reduced as-

                   2(x + 3y) = 50

                    x + 3y = 50/2

                     x + 3y = 25.........eq(2)

Step-2:

Solving eq(1) and eq(2) by using elimination method as follows:

                      x + y = 13

                      x + 3y = 25

Step-3:      

In the elimination method positive signs changes to negative and x gets eliminated so we get the y value as:    

-2y = -12

y = 6

Substituting y value in eq(1): x+ y = 13

                                               x + 6 = 13

                                               x = 13 - 6

                                              x = 7

Hence we found out that total 7 two-player games and 6 six-player games were played.  

Learn more about "System of equations" here:

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Answer:

x = 5, y = 7

Step-by-step explanation:

x – y = -2 ——— 1

5x – 4y = -3 —– 2

x = -2 + y ——— 3

3 in 2 ≈ 5(-2 + y) – 4y = -3

-10 + 5y – 4y = -3

y = -3 + 10

y = 7

Putting y = 7 in 3, we have;

x = -2 + (7)

x = 5

Hence (x, y) = (5, 7)

Answer:

in all cases x/100 is just a way to represent percentage. and since it's the same everywhere, it's not even relevant to decide wich option describes the context right

A) 80/140 is the portion that describes the book readers over all people surveyed

B) 31/63 just 63 people are relevant bc it's specified that we only consider beach travelers.

that also explains the 31, bc that's the number of beach travelers who'd like to watch a movie

C) 15/80 only 80 movie watchers in total, of whom 15 would prefer the city

Answer:

    x            y

    -1           2

    0           3

    1            1

     2          -1

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

3(x + 6) = 18

distribute

3x + 18 = 18

Subtract 18 from both sides

3x = 0

Divide both sides by 3

x = 0

Answer:

1550m^3

Step-by-step explanation:

Volume of the prism= 7750m^3

Factor of dilated prism= 1/5

7750×1/5= 1550m^3

Answer:

C. 904.32 cubic units

Step-by-step explanation:

the volume = π×r²×h

= 3.14 × 6²×8

= 3.14×288

= 904.32

Answer:

[tex]\text{C) } y=1[/tex]

Step-by-step explanation:

A asymptote represents a control for a function where the function will never touch. We see that as the [tex]y[/tex] approaches 1, [tex]x[/tex] approaches infinity, from either direction. However, the function never touches nor crosses the line [tex]y=1[/tex], and never will. Thus, the horizontal asymptote is located at [tex]y=1[/tex].

y=0 is correct answer but is not in the selection.

Step-by-step explanation:

SOLUTION

For these solutions, we will use \displaystyle f\left(x\right)=\frac{p\left(x\right)}{q\left(x\right)}, q\left(x\right)\ne 0f(x)=

q(x)

p(x)

,q(x)≠0.

\displaystyle g\left(x\right)=\frac{6{x}^{3}-10x}{2{x}^{3}+5{x}^{2}}g(x)=

2x

3

+5x

2

6x

3

−10x

: The degree of \displaystyle p=\text{degree of } q=3p=degree of q=3, so we can find the horizontal asymptote by taking the ratio of the leading terms. There is a horizontal asymptote at \displaystyle y=\frac{6}{2}y=

2

6

or \displaystyle y=3y=3.

\displaystyle h\left(x\right)=\frac{{x}^{2}-4x+1}{x+2}h(x)=

x+2

x

2

−4x+1

: The degree of \displaystyle p=2p=2 and degree of \displaystyle q=1q=1. Since \displaystyle p>qp>q by 1, there is a slant asymptote found at \displaystyle \frac{{x}^{2}-4x+1}{x+2}

x+2

x

2

−4x+1

.

Synthetic division of the polynomial x^2-4x+1 by x+2 in which it only contains the coefficients of each polynomial.

The quotient is \displaystyle x - 6x−6 and the remainder is 13. There is a slant asymptote at \displaystyle y=x - 6y=x−6.

\displaystyle k\left(x\right)=\frac{{x}^{2}+4x}{{x}^{3}-8}k(x)=

x

3

−8

x

2

+4x

: The degree of \displaystyle p=2\text{ }<p=2 < degree of \displaystyle q=3q=3, so there is a horizontal asymptote y = 0.

Answer:

geometric

common ratio 2/3

Step-by-step explanation:

We know that the sequence is not arithmetic

3-2 =1

2-4/3 = 6/3 -4/3 = 2/3

The common difference is not the same

Now check geometric

The common ratio:

Take the second term over the first term

2/3

Now take the third term over the second term

4/3 ÷ 2

4/3 * 1/2 = 2/3

The common ratio is the same so the sequence is geometric with a common ratio of 2/3

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{14}{2x-1} = \frac{10}{5} \\10(2x-1) = 5*14\\20x - 10 = 70\\20x = 70+10\\20x = 80\\x = 80:20\\x = 4[/tex]

Answer:

Translate 4 units to the left and reflect over the x-axis

Step-by-step explanation: hope this helps :)

The composition of the transformations given in the figure is translate 4 units to the left and then reflect over the X axis.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

After translation, the original figure is shifted from a place to another place without affecting it's size.

After Reflection, figure is flipped. In other words, a figure becomes it's mirror image.

Consider the point P.

Before undergoing reflection, the figure must be above the X axis.

And the point P will be translated 4 units to the left.

After reflection, since the figure moved towards the other side of the X axis, the figure is reflected across the X axis.

Hence the missing parts are filled.

Learn more about Translation and Reflections here :

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Answer:

she is correct

Step-by-step explanation:

because according to the Pythagorean theorem the interior of a triangle has to be 180 degrees total.

and a straight line has an angle of 180

so the inside of the C angle is 50

60+50+70=180

Answer:

C

Step-by-step explanation:

f(-2) = 4(-2) + 5

f(-2) = -8 + 5

f(-2) = -3

Answer:

-3

Step-by-step explanation:

f(x) = 4x + 5

Let x = -2

f(-2) = 4(-2) + 5

        =-8+5

           -3

Answer:

not touching x-axis

Step-by-step explanation:

the graph is not touching the x-axis, that is all i can say

Answer:

([tex]x^{2}[/tex] + [tex]x[/tex] + [tex]\frac{1}{2\\}[/tex] )

https://www.symbolab.com/solver/step-by-step/%5Cleft(1%5Cright)%2F%5Cleft(x%5E%7B%5Cleft(-2%5Cright)%7D%5Cright)%2B%5Cleft(1%5Cright)%2F%5Cleft(x%5E%7B%5Cleft(-1%5Cright)%7D%5Cright)%2B%5Cleft(1%5Cright)%2F%5Cleft(2%5Cright)

You can  use the  link above :))

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

So for this question just substitute the value and work out. I thought it it to the power of 2 as I can't tell from the question.

[tex]\longrightarrow{\green{C.\:30 \sqrt{11} }}[/tex] ✔

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3 \sqrt{50} \times \sqrt{22} \\ \\ = 3 \sqrt{50 \times 22} \\ \\ = 3 \sqrt{1100} \\ \\ = 3 \sqrt{2 \times 2 \times 5 \times 5 \times 11} \\ \\ = 3 \sqrt{ {2}^{2} \times {5}^{2} \times 11} \\ \\ = 3 \times 2 \times 5 \sqrt{11} \\\\ = 30 \sqrt{11} [/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Median is the middle value.

Writing the values from smallest to largest you have :

1/8, 1/8, 2/8, 2/8, 2/8, 3,8, 3/8, 4/8, 5/8

There are 9 values. The middle value ( median) would be the 5th number ( this would give you 4 numbers below it and 4 numbers above it.

The Median is 2/8

Answer:

2/8 is the median. In decimal, it is 0.25.

Happy learning!

--Applepi101