In the figure, lines I and mare parallel lines cut by transversal p.
Andrea said that if m 2 2 = 40° then m 3 must also be equal to 40°. Which justifies Andrea's statement?
A
Alternate interior angles are congruent.
B. Alternate exterior angles are congruent.
C. Corresponding angles are congruent,
D. Consecutive interior angles are supplementary

In The Figure, Lines I And Mare Parallel Lines Cut By Transversal P.Andrea Said That If M 2 2 = 40 Then

Answers

Answer 1

Answer:

The statement which justifies Andrea's statement is "Corresponding angles are congruent" C

Step-by-step explanation:

If two parallel lines intersected by a line, then there are some pair of angles are formed

Corresponding angles that are congruentAlternate interior angles that are congruentAlternate exterior angles that are congruentConsecutive interior angles that are supplementary

In the given figure

∵ Lines l and m are parallel

∵ They are cut by transversal p

∠2 and ∠3 are in the corresponding position

→ By using the 1st rule above

∵ Corresponding angles are congruent

∠2 ≅ ∠3

m∠3 = m∠2

∵ m∠2 = 40°

∴ m∠3 = 40°

The statement which justifies Andrea's statement is "Corresponding angles are congruent"


Related Questions

Please HELP!!
Which linear inequality is represented by the graph

Answers

Answer:

The answer should be y ≤ 1/3x - 1 I believe

helppp this is due at 1:20

Answers

Answer:

Total Bill: $138

Step-by-step explanation:

115 * 1.20 = 138

Answer:

138

Step-by-step explanation:

115 × 20% = 23

115 + 23 = 138

Answer is 138

BRAINLIEST

Calculate the frequency of light that has a wavelength of
4.25 x 10^-9m and a velocity of 300 m/s.

Answers

Answer:

The velocity of light, v, is the product of its wavelength, λ , and its frequency, f. This means that the wavelength is the velocity, v, divided by the frequency, f.

Wavelength of light = velocity of light / frequency of light

λ = v/f

λ = Wavelength of light, meters

v = Velocity of light (c = 3.0 x 108 m, for speed of light if not otherwise defined)

f = frequency of light, Hz

Step-by-step explanation:

What's the answer to this?

Answers

Answer:

3 the answer is 3

Step-by-step explanation:

Please help i will mark braniliest and 30 points

If you solve the inequalty 2x < 14, the solution set is x < 7. Graph x < 7 on a number line. Which one of the listed values of x is included in x < 7


A) x=8
B) x = 7
C) x = 12
D) x= -8

Answers

Answer:

D) x = -8

Step-by-step explanation:

All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.

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

Answers

.......................................................
..................................……………hi :)

CORRECT ANSWER GETS BRAINLIEST

What percentage of the block is shaded in?

Answers

Answer:

7/10ths

Step-by-step explanation:

There are ten blocks all together, which is where the 10 comes from, there is 7 shaded that is where the 7 comes from.

Answer:

The percentage is 70%.

Step-by-step explanation:

There are 10 spaces total, and 7 are shaded in. 7 divided by 10 is 0.7.

0.7 as a percentage is 70%.

So 70% of the block is shaded in.

Samia y su hija fueron a una obra de teatro musical, ella pago $90 por su boleto y $45 por el de su hija. Ese dia el cajerovendio 100 boletos y cuenta con $8190, pero necesita saber cuantos adultos y menores de edad entraron al evento?

Answers

Answer:

Al evento entraron 82 adultos y 18 menores de edad.

Step-by-step explanation:

De acuerdo a la información proporcionada, puedes plantear las siguientes ecuaciones:

x+y=100 (1)

90x+45y=8190 (2), donde:

x es el número de adultos

y es el número de menores de edad

Puedes despejar x en (1):

x=100-y (3)

Después, puedes reemplazar (3) en (2):

90(100-y)+45y=8190

9000-90y+45y=8190

9000-8190=90y-45y

810=45y

y=810/45

y=18

Ahora, puedes reemplazar el valor de y en (3) para encontrar x:

x=100-y

x=100-18

x=82

De acuerdo a esto, la respuesta es que al evento entraron 82 adultos y 18 menores de edad.

PLEASE PLEASE PLEASE HELP ASAP
solve using the elimination process and SHOW ALL STEPS
5x+4y=2
3x+3y=-3

IM LITERALLY BEGGING FORN HELP RN

Answers

Answer:

x = 6, y = -7 or (6, -7)

Step-by-step explanation:

Given system of equations

5x+4y=2 3x+3y=-3

Solving as follows:

Simplify the second equation by dividing all terms by 3

3x+3y=-3    divide by 3⇒ x + y = -1

Now, considering the coefficient of x of 5 in the first equation, we will multiply the simplified second equation by 5 and subtract from the first equation:

x + y = -1 multiply by 5⇒5x + 5y = -5

Subtract it from 5x + 4y = 2

5x + 4y - 5x - 5y = 2 - (-5)-y = 7y = -7

Finding x using simplified second equation:

x + (-7) = -1x = - 1 + 7x = 6

Answer is (6, -7)

Seven less than 4 times the square of a number is 18. Find the two numbers.

Answers

The two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2

Let the unknown number be "x"

The square of an unknown number is expressed as x²

4 times the square of a number  is 4x²

Seven less than 4 times the square of a number is 4x² - 7

If the resulting expression is 18, this will be expressed as 4x² - 7 = 18

Solving the resulting expression

[tex]4x^2-7=18\\4x^2= 18+7\\4x^2=25\\x^2=\frac{25}{4}\\x=\pm \frac{5}{2}[/tex]

Hence the two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2

Learn more here: https://brainly.com/question/13805464

true of false? the slope of thia equation is zero
y=x+5

Answers

Answer:

false

Step-by-step explanation:

no solution

I did it on a graph and I think its true?

In the diagram mz3= x+ 30 and mz4 =2x-80. What is the measure of angle 3?

Answers

Given:

Consider the below figure attached with this question.

[tex]m\angle 3=(x+30)^\circ[/tex] and [tex]m\angle 4=(2x-80)^\circ[/tex].

To find:

The measure of angle 3.

Solution:

From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.

We know that, vertically opposite angles are always equal. So,

[tex]m\angle 3=m\angle 4[/tex]

[tex](x+30)^\circ=(2x-80)^\circ[/tex]

[tex]x+30=2x-80[/tex]

[tex]x-2x=-30-80[/tex]

[tex]-x=-110[/tex]

[tex]x=110[/tex]

Now,

[tex]m\angle 3=(110+30)^\circ[/tex]

[tex]m\angle 3=140^\circ[/tex]

Therefore, the measure of angle 3 is 140 degrees.


What is the slope of the line

Answers

Answer:

-3/1 or -3

Step-by-step explanation:

you have to go down three from where the line crosses at a point then move over one to get to the next crossing point and that's the answer

Answer:

-3/1

Step-by-step explanation:

i think thats the answer

Coach Burns charted the change in his runners’ 5K times from the first race of the year to the second race of the year. Which student improved the most by decreasing the time needed to run the race? PLEASE HELP IM ON A EXAM!!!

Answers

Answer:

student a

Step-by-step explanation:

i just took the exam

Solve 4x + 8y = 16 for x.
O A. x=-8y + 4
O B. x= -2y+ 16
O C. x= -2y+ 4
D. X = 8y + 16

Answers

I got x = 4-2y

4x+8y=16
-8y=-8y

4x=16-8y
— ——-
4 4

x=4-2y
C) X = -2y + 4

4x + 8y = 16

4x = 16 - 8y

4x = 4 (4 - 2y)

x = 4( 4 - 2y)/4

X = 4 - 2y

X = -2y + 4

The vertices of an ellipse are (0,-1) and (8,-1). The endpoints of the minor axis are (4,1) and (4,-3). Write the equation of the ellipse in general form

Answers

Answer:

x^2+4y^2-8x+8y+4=0

Step-by-step explanation:

The general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.

What is an ellipse?

An ellipse can be defined as a shape that looks like an oval circle.

The equation of an ellipse is

[tex]\dfrac{\left(x - h\right)^{2}}{a^{2}} + \dfrac{\left(y - k\right)^{2}}{b^{2}} = 1[/tex]

Where (h, k) is the center a and b are the lengths of the semi-major and the semi-minor axes.

The vertices of an ellipse are (0,-1) and (8,-1).

The endpoints of the minor axis are (4,1) and (4,-3).

The following equations take into account the different properties of an ellipse:

[tex]k = -1k=−1, h^{2} = a^{2}h 2 =a 2 , \left(h - 8\right)^{2} = a^{2}[/tex]

[tex]\begin{cases} b = 2 \\ k = -1 \\ h^{2} = a^{2} \\ \left(h - 8\right)^{2} = a^{2} \end{cases}[/tex]

We get that h = 4 k = -1, a = 4, and  b = 2

The standard form of the given ellipse is

[tex]\dfrac{\left(x - 4\right)^{2}}{4^{2}} + \dfrac{\left(y + 1\right)^{2}}{2^{2}} = 1[/tex]

So the general form will be as : x² +4y² - 8x + 8y + 4 = 0.

Thus, the general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.

Learn more about ellipses here:

brainly.com/question/9448628

#SPJ2

Carmen is admiring a statue in Weston Park from 14 feet away. If the distance between the
top of the statue to Carmen's head is 50 feet, how much taller is the statue than Carmen?
feet
Submit
Work it out
Not feeling ready yet? These can help:

Answers

Answer:  36?

It's too short. Write at least 20 characters to explain it well.



Please, i need help on how to solve problems like these. I dont understand and i wasnt in class when they taught it to us. PLzzzz.Will make it the brainiest if its corrected and explaining how to solve problems like these.

Answers

Answer:

x = 20

Step-by-step explanation:

You can use Pythagorean theorem which is [tex]a^2 + b^2 = c^2[/tex]

a = 12

b = 16

and c would be x.

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

square root

c = 20 or x = 20

determine the value of x , (5)(x)=0

Answers

Answer:

x=0

Step-by-step explanation:

The parenthesis mean that it's multiplication, so it might be easier to convert that to: 5 · x = 0. We then know that anything times zero equals zero, so 5 · 0 = 0! I hope this helps! :)

A bookstore costs $96 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the break-even point
for this bookstore?

Answers

Answer: The break even point is when they have sold 16 books and have made $288

Step-by-step explanation:  The costs are modeled in the equation y = 12x + 96.  x is the number of books sold.

The earnings are modeled by he equation y = 18x.

Substitute 18x for y and solve for x.

18x = 12x + 96  Subtract 12x from both sides.

6x = 96 Divide both sides by 6

x = 16

Substitute into the original equations to solve  for y

y = 12(16) + 96

y = 192 + 96

Y = 288

y = 18(16)

y = 288

Answer:

C = 12n + 90

Step-by-step explanation:

Which fraction has a value that’s equal to7/8? A.49/64
B.56/8. D.15/8
C.22/24

Answers

Answer:

a 49/64

Step-by-step explanation:

7/8 multiply 7 ×7 = 49 then 8×8 is 64 so yeah a

Answee a 49/64 is the best answer

1/2/2/3

Which question can be answered by this expression?


Answers

Answer:

1/2 / 2/3

(1*3) / (2*2)

3/4

Two-thirds of a half equals three-quarters

Answer:

no question

Step-by-step explanation:

it cant thats not an answet

SOMEONE PLEASE ANSWER
the equation is 7x-3 over 9 > 8-2x

Answers

Answer:

solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Step-by-step explanation:

We need to solve the inequality [tex]\frac{7x-3}{9}\geq 8-2x[/tex]

First we will solve the inequality to find value of x

Solving:

[tex]\frac{7x-3}{9}\geq 8-2x[/tex]

Step 1: Multiply both sides by 9

[tex]9(\frac{7x-3}{9})\geq 9(8-2x)\\7x-3\geq 72-18x[/tex]

Step 2: Adding 3 on both sides

[tex]7x-3+3\geq 72-18x+3\\7x\geq 75x-18x[/tex]

Step 3: Add 18x on both sides

[tex]7x+18x\geq 75-+18x\\25x\geq 75[/tex]

Step 4: Divide both sides by 25

[tex]\frac{25x}{25}\geq \frac{75}{25}\\x\geq 3[/tex]

So, solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Write the equation in slope- intercept form

4x+2y=12

Thanks!

Answers

Answer:y = -2x + 6Hope this helps!!

A bus makes a stop at 2:30, letting off 11 people and letting on 5. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?

Answers

Answer:

Answer down below Branliest Please

Step-by-step explanation:

find the missing number in the proportion. 2/3 = x/15​

Answers

X= 10
Hope this helps and good luckkkk :)

v2+4v-21=0 (solve by factoring)​

Answers

Answer: (v + 7)(v -3)

Step-by-step explanation:

(v +7)(v -3)

v x v = v^2

v x -3 = -3v

7 x v = 7v

7 x -3 = -21

v^2 -3v +7v -21 = v^2 +4v -21 = 0

Answer:

The answer is (v - 3)(v + 7).

Step-by-step explanation:

First, you have to elaborate it :

v² + 4v - 21 = 0

v² - 3v + 7v - 21 = 0

Next, you have to collect like terms :

v(v - 3) + 7(v - 3) = 0

(v - 3)(v + 7) = 0

What is 1+2+3+4+5+6+7+8+9+10=?



have a great day!! :)

Answers

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

Answer:

55

Step-by-step explanation:

9 + 1 = 10

8 + 2 = 10

7 + 3 = 10

6 + 4 = 10

5 + 10 = 15

10 + 10 + 10 + 10 + 15 = 55

the math team has 11 boys 10 girls and 1 coach. What is the ratio of coach to students?

Answers

1:21 I believe, sorry if wrong
11+10=21 students so 21:1

(12x³+x²)-(18x³-3²+6)

Answers

answer is
-6x^3+x^2+3



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