△ABC is given with line m drawn through A parallel to BC¯¯¯¯¯¯¯¯. In the course of proving that the interior angle measures of △ABC sum to 180°, which of the following will be shown? Select the two correct answers.


A. ∠1≅∠B


B. m∠BAC+m∠C+m∠2=180°


C. m∠1+m∠BAC+m∠2=180°


D. ∠1≅∠C


E. ∠2≅∠A

A is the answer on edge

Answer:

d a c

Step-by-step explanation:

Answer:

The answer is y² - 23y + 120.

Step-by-step explanation:

The steps to do :

g(x) = x² - 7x

g(y - 8) = (y - 8)² - 7(y - 8)

g(y - 8) = y² - 16x + 64 - 7y + 56

g(y - 8) = y² - 23y + 120

g(y-8) is equal to the quadratic expression y² - 23y + 120.

To find g(y-8), we need to substitute y-8 into the function g(x) = x² - 7x in place of x.

Replacing x with y-8, the function becomes:

g(y-8) = (y-8)² - 7(y-8)

To simplify, we expand and simplify the expression:

(y-8)² = (y-8)(y-8) = y² - 16y + 64

-7(y-8) = -7y + 56

Combining the terms, we have:

g(y-8) = y² - 16y + 64 - 7y + 56

Simplifying further:

g(y-8) = y² - 23y + 120

Therefore, g(y-8) is equal to the quadratic expression y² - 23y + 120.

By substituting y-8 into the function g(x), we obtained a new function g(y-8) in terms of y. This allows us to evaluate g(y-8) for any value of y and determine the corresponding output.

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Answer:

y = 240.3 ft

Step-by-step explanation:

Use trigonometric ratio to find y:

Thus,

Reference angle = 90° - 31° = 59°

Opposite = 400 ft

Adjacent = y

Therefore:

Tan 59° = 400/y

Multiply both sides by y

y*tan 59 = 400

Divide both sides by tan 59

y = 400/tan 59

y = 240.3 ft (to the nearest tenth)

Answer:

trol c(:

Step-by-step explanation:

XD

Answer:

s=6.2

Step-by-step explanation:

-3.1s=-19.22

divide -19.22 by -3.1 to get s

s=6.2

the answer is 0.6% i think hope this helps

Answer:

0.6%

Step-by-step explanation:

[tex]\frac{24}{4000}[/tex] = 0.6%

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 4000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 4000, so we can write it down as 100%=4000.

4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.

5. Now we have two simple equations:

1) 100%=4000

2) x%=24

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=4000/24

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 4000

100%/x%=4000/24

(100/x)*x=(4000/24)*x       - we multiply both sides of the equation by x

100=166.666666667*x       - we divide both sides of the equation by (166.666666667) to get x

100/166.666666667=x

0.6=x

x=0.6

now we have:

24 is 0.6% of 4000

Answer:

10.46

Step-by-step explanation:

Let the Number of additional pair = x

Ware house A :

855 + 92x - - - (1)

Warehouse B:

Initial cost per pair before 9

= 810 / 9 = $90

Additional 7% for pairs after 9

1.07 * 90 = 96.3

810 + 96.3x - - - (2)

810 + 96.3x = 855+ 92x

96.3x - 92x = 855 - 810

4.3x = 45

x = 45 / 4.3

x = 10.46

Additional pair be 10.46

Answer:

Option C i.e. Alternate Interior is correct.

Step-by-step explanation:

From the figure, it is clear that the two parallel lines, let say l and m, are cut by a traversal.

In other words,

if [tex]l[/tex] ║ [tex]m[/tex], then ∠x ≅ ∠y

In our case, x and y are alternate interior angles.

Thus, the two parallel lines, let say l and m, are cut by a traversal, making the alternate interior angles x and y.

Please note that the alternate interior angles x and y are congruent.

Hence, option C i.e. Alternate Interior is correct.

Answer:

4 : 2: 1

Step-by-step explanation:

[tex] \frac{1}{4} : \frac{1}{8} : \frac{1}{16} \\ \\ multiplying \: throughout \: by \: 16 \\ \\ 16 \times \frac{1}{4} : \:16 \times \frac{1}{8} : \: 16 \times \frac{1}{16} \\ \\ 4 : 2 : 1[/tex]

Answer:

x = 8, y = -7

in coordinate form: (8,-7)

Step-by-step explanation:

first, find x using the second equation:

x - 9 = -1

add 9 to both sides of the equation

x - 9 + 9 = - 1 + 9

x = -1 + 9

x = 8

next, substitute x for 8 in the first equation:

2x - y = 23

2 * 8 - y = 23

16 - y = 23

16 - y + y = 23 + y

16 = 23 + y

16 - 23 = y

y = -7

also, I had this exact question on an assignment earlier today ahah

Answer: B

Step-by-step explanation:

The equation [tex]y+2=\frac{3}{4} x-8[/tex] is not yet in slope-intercept form([tex]y=mx+b[/tex]).  Simply subtract 2 from both sides to turn the equation into slope intercept form as [tex]y=\frac{3}{4}x-10[/tex].  For a line to be perpendicular to another, it must have an opposite reciprocal slope.  A reciprocal is the fraction reversed, where the numerator is the denominator and vice versa.  Thus, 3/4 would become 4/3.  The opposite reciprocal of 3/4 would be -4/3.

The slope of the line given is 3/4.  Thus, simply plug in the opposite reciprocal of 3/4 for the slope to get: [tex]y=-\frac{4}{3} x+b[/tex].  Then, because the line passes through -12, 1, plug those values in for x and y, respectively.  

[tex]1=-\frac{4}{3}*-12+b[/tex]

[tex]1=16+b[/tex]

[tex]-15=b[/tex]

Thus, the equation of the line is [tex]y=-\frac{4}{3} x-15[/tex], or B.

Hope it helps :D

Answer:

D or C more than likely D

Step-by-step explanation:

Answer:

[tex]\frac{1}{r^{10} }[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ( with n > m )

= [tex]\frac{1}{a^{(n-m)} }[/tex]

Then

[tex]\frac{r^{2} }{r^{12} }[/tex]

= [tex]\frac{1}{r^{(12-2)} }[/tex]

= [tex]\frac{1}{r^{10} }[/tex]

Answer:

2x^2 - 8x + 2

Step-by-step explanation:

-4x + 2(x-1)^2

= -4x + 2(x^2 -2x +1)

= -4x + 2x^2 - 4x + 2

= -8x + 2x^2 + 2

=2x^2 - 8x + 2 (usually put the exponent kind of things first)

Answer:

P = 72 J

Step-by-step explanation:

Given that,

Charges, [tex]q_1=q_2=2\times 10^{-5}\ C[/tex]

These charges are brought from infinity to a separation of 5 cm.

We need to find the increase in the electrical potential energy in the  process.​ The formula for the electric potential energy is given by :

[tex]P=k\dfrac{q_1q_2}{r}\\\\P=9\times 10^9\times \dfrac{(2\times 10^{-5})^2}{0.05}\\\\P=72\ J[/tex]

So, the required electric potential energy is 72 J.

Answer: bye

Step-by-step explanation:

for sending answers to people with stipud messages that’s why nobody replied to your questions cause your annoying it’s karma have a bad day with your pixelated profile picture

Answer:

Subs: 49.5 students, Tex-mex: 144 students, Italian: 31.5 students

Step-by-step explanation

The number of students eating a type of food can be found by using:

Percent * number of students

So in this equation, we can use this formula to find the answers.

Subs:

22% * 225 = 0.22 * 225 = 49.5

Tex-mex:

64% * 225 = 0.64 * 225 = 144

Italian:

14% * 225 = 0.14 * 225 = 31.5

There is an issue- you can't have half a person. Either this question is wrong, or the person who wrote it didn't keep this in mind.

Ask your teacher whether this question is right, or just leave the answer like this.

Step-by-step explanation:

Hey ..but there is nothing from which question can be equated ..

like if they are equal to zero..

or

(4x+45)=(5x-18)

i am giving answer for both scenarios

(4x+45)=0

4x=-45

x=-45/4

x=(-11.25)

(5x-18)=0

5x=18

x=18/5

x=3.6

Incase if they both are equal to each other...

(4x+45)=(5x-18)

(45+18)=(5x-4x)

63=x

x=63

Hope it helps you

Have a nice day

Answer:

Yes

Step-by-step explanation:

I am pretty sure it is a linear function

Answer:

yes

Step-by-step explanation:

[tex]3x+6-y=2y-8\\\\3x+6=2y+y-8\\\\3x+6=3y-8\\\\3y-8=3x+6\\\\3y=3x+6+8\\\\3y=3x+14\\\\y=x+\frac{14}{3}[/tex]

so yes it's a function

Answer:

Hypotenuse = 10 Cm

Step-by-step explanation:

Given:

θ = 60°

Base = 5 cm

Hypotenuse = x cm

Find:

Hypotenuse

Computation:

Cos θ = Base / Hypotenuse

Cos 60° = 5 / Hypotenuse

0.5 = 5 / Hypotenuse

Hypotenuse = 10 Cm

Answer:

13.5

Step-by-step explanation:

The two triangles are similar

According to the question

The equation is

⅔=11/x+3

2x+6=33

2x=27

x=13.5

The overall change in her account will be the deduction of $225 from the beginning of her account.

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have been given that Flora made 3 withdrawals of $75 each from her bank account.

We have to determine the overall change in her account

Let's assume that the amount at the beginning of her account would be $1000.

The overall change in her account is equal to the difference between  the beginning of her account and the amount of the total withdrawals

The overall change in her account = $1000 - $75 × 3

The overall change in her account = $1000 - $225

Apply the subtraction operation,

The overall change in her account = $775

Thus, the overall change in her account will be the deduction of $225 from the beginning of her account.

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Answer:

The number of

Small candles = x = 12 candles

Large candles = y = 16 candles

Step-by-step explanation:

You sell small and large candles at a craft fair. You collect $144 selling a total of 28 candles. How many of each type of candle did you sell? A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.

Let the number of

Small candles = x

Large candles = y

Our system of equations is:

x + y = 28 .......... Equation 1

x = 28 - y

A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.

4x + 6y = 144......... Equation 2

Substitute 28 - y for x in Equation 2

4(28 - y) + 6y = 144

112 - 4y + 6y = 144

- 4y + 6y = 144 - 112

2y = 32

y = 32/2

y = 16 candles

x = 28 - y

x = 28 - 16

x = 12 candles

Therefore:

The number of

Small candles = x = 12 candles

Large candles = y = 16 candles

Answer:

15 feet

Step-by-step explanation:

This is calculated using the formula

Height of observation tower/Shadow of observation tower = Height of Marble column/Shadow of marble column

From the question

Height of observation tower = 60 ft

Shadow of observation tower = 32 ft

Height of Marble column = ? x

Shadow of marble column = 8 ft

Hence:

60ft/32ft = x/8ft

Cross Multiply

60ft × 8 ft = 32ft × x

x = 60 ft × 8 ft/32 ft

x = 15 ft

Therefore, the marble column is 15 feet tall

Answer:

y = -1/2x-1 would have a x-intercept of -2 when graphed!