Attend to precision. Suppose that ∠1 and ∠2 are same-side interior angles formed by two parallel lines cut by a transversal, and that m∠1=7x-4 and m∠2=20x-5.

a.What is the value of x?

b.What is m∠1?

c.What is m∠2?

d.Explain how you found your answers.

Attend To Precision. Suppose That 1 And 2 Are Same-side Interior Angles Formed By Two Parallel Lines

Answers

Answer 1

9514 1404 393

Answer:

  a)  x = 7

  b)  m∠1 = 45°

  c)  m∠2 = 135°

Step-by-step explanation:

a) Same-side interior angles are supplementary, so we have ...

  ∠1 +∠2 = 180

  (7x -4) +(20x -5) = 180

  27x = 189

  x = 7

__

b) The measures of the angles can be found by substituting the value of x into the express for the angle measure.

  m∠1 = 7x -4 = 7(7) -4 = 45

  m∠1 = 45°

__

c) Angle 2 is the supplement of angle 1, so ...

  m∠2 = 180° -45°

  m∠2 = 135°

__

d) We used the relationship of angles at a transversal and the properties of equality.


Related Questions

(2a^-2)(3a^3b^2)(c^-2)

Answers

Answer:

Step-by-step explanation:


Which value, when placed in the box, would result ina system of equations with infinitely many solutions?
y=-2x + 4
6x + 3y = O
-12
-4
4
12

Answers

Answer:

-4

Step-by-step explanation:

Simplify.
(+18)%(-6)​

Answers

Answer: -3

Step-by-step explanation:

18/6 = 3

18/-6 = -3

What is the cos(A) as a fraction

Answers

Answer:

cos A= 8/17

Step-by-step explanation:

cos theta = adj / hyp

Pedro had 17.70 in his wallet he spent 3.25 on a drink . How much does he have left? Estimate the answer by rounding to the nearest whole numbers before subtracting

Answers

Answer:

15

Step-by-step explanation:

$17.7 rounded to $18

$3.25 rounded to $3

$18 - $3 = $15

Johnny takes an Uber to a toy store to buy some slime. Each container of slime costs $5 dollars. The Uber charges a total of $10 dollars. Write an expression that represents Johnny's total cost after buying s containers of slime, including the Uber ride.

Answers

Answer:

Step-by-step explanation:

total cost= c

containers of slime=s

c=5s+10

Could someone help bc I don’t know

Answers

Answer:

A. 56 is greater than 37

B. -1 is less than 2

C. -5 is less than 0

D. -4 is greater than -5

E. -6.0 is equal to -6

Step-by-step explanation:

These are the answers because:

1) When we are comaparing positive numbers, the greater the number, the higher value it has, however, when we are comparing negative numbers, the higher the number, the less value it has.

Hope this helps! :D

If the point (8,-5) is 6 units above the point P(x, y) and 3 units to the right of it, then what are the coordinates of
the point P(x, y)?

Answers

Answer:

(5, -11)

Step-by-step explanation:

We know that (8, -5) is 6 units above and 3 units to the right of point P. Knowing this, let's work backwards by starting from (8,-5) and counting 6 units down and 3 units to the left on the graph.

If you counted correctly, this should place you at the (5, -11). (You can also check your work by counting 6 units up and 3 units to the right from (5, -11) and seeing if you end up at (8, -5).)

Suppose that 28% of the vehicles in a certain town are trucks. A person standing at an intersection waiting for a friend to pick him up. Let X = the number of trucks observed after 20 cars pass the observer. What is the expected value of X?

Answers

Answer:

The expected value is 5.6

Step-by-step explanation:

Here, we want to calculate the expected value of x

Mathematically, that will be the probability multiplied by the number of items

In this case, that will be ;

0.28 (28%) * 20 = 5.6

Passes through (-4, -3), slope = -2.

Answers

9514 1404 393

Answer:

  y +3 = -2(x +4)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . .  line with slope m through point (h, k)

For your given point and slope, this is ...

  y -(-3) = -2(x -(-4))

  y +3 = -2(x +4)

Which process would produce the complex number w2? Add 3 – i to w1. Add –9 + 3i to w1. Subtract 3 – i from w1. Subtract –9 + 3i from w1.

Answers

Answer

B.) Add [tex]-9+3i[/tex] to [tex]w1[/tex]

Step-by-step explanation:

Just took the test and D was wrong.

2 circle graphs. One circle graph is titled Freshmen Movie Preference. 38 percent is comedy, 27 percent is horror, 23 percent is drama, 9 percent is romance, 3 percent is documentary. Circle graph 2 is titled Senior Movie Preference. 19 percent is comedy, 4 percent is horror, 71 percent is drama, 1 percent is romance, 6 percent is documentary. The freshman and senior classes were surveyed on movie preference. Each class has 100 students. Which statements are true? Check all that apply. More seniors like drama than freshmen. More freshmen like comedy than seniors. Only 4 seniors prefer horror movies. Twice as many seniors like horror than freshmen. Twice as many freshmen like comedy than seniors.

Answers

Answer:

you probably got the answer already but its a, b, c, and e

Step-by-step explanation:

i just got the answer

Answer:

abce

Step-by-step explanation:

PLEASE HELP ASAP BEST AND CORRECT ANSWER GET BRAINLIEST

Marla drove m miles. Lawrence drove 15 more miles than Marla. Jerry drove 2 more miles than Marla. Drag and drop the expressions into the boxes to write an expression that represents the total number of miles Marla, Lawrence, and Jerry drove in all.

___ + (plus) ___ + (plus) ___

m
15
2
m + 2
m + 15
m + 30
m - 2
m - 15

fill in the three blanks using three of those answers please!!

Answers

Answer:

m + (m + 15) + (m + 2)

Step-by-step explanation:

Even thought we don't know the value of m, we can use expressions to represent it.

Hope this helps.

The required expression is m + (m + 15) + (m + 2) which represents the total number of miles Marla, Lawrence, and Jerry drove in all.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.

Let's represent Marla drove "m" miles.

Since Lawrence drove 15 more miles than Marla.

So, this means the expression m + 15

Then Jerry drove 2 more miles than Marla.

So, this means the expression m + 2

Now, the total number of miles = m + (m + 15) + (m + 2)

This expression represents the total number of miles Marla, Lawrence, and Jerry drove in all.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ2

Ramon earns $1,690 each month and pays $53.60 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

Answer:

3.1%

Step-by-step explanation:

divide his electricty payment by his monthly pay

Given m||n, find the value of x.
+
(8x-4)º
(6x-12)

Answers

Answer:

x = 14

Step-by-step explanation:

(6x - 12)° + (8x - 4)° = 180° (Supplementary angles)

6x - 12 + 8x - 4 = 180

Add like terms

14x - 16 = 180

14x = 180 + 16

14x = 196

x = 196/14

x = 14

I WILL GIVE BRAINLIEST

Answers

Answer:

slope = 4/1 or 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Use the slope formula. change in y/change in x. The change in y is 4 because if your subtract the y coordinate 4 from the y coordinate 8, you get 4. The change in x is 1 because if you subtract the x coordinate 2 from the x coordinate 3, you get 1. 4 (change in y)/1 (change in x) is 4. Hope this helps!

You order pizza on Door Dash. It costs $39. Sales tax is 7%. What is the sales tax?

Answers

Answer:

Sales tax is $2.73. Making the total $41.73

Answer:

2.73 or [tex]\frac{273}{100}[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

It is $2.73 because 7% of $39 = 2.73 or [tex]\frac{273}{100}[/tex] according to Desmos.

[tex]--------------------------------------------[/tex]

$39 + $2.73 = $41.73 = Total

[tex]--------------------------------------------[/tex]

The sales tax is $2.73

[tex]--------------------------------------------[/tex]

The total is $41.73

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

ANSWER ASAP PLS YEY BRAINLIEST AND STUFFsolve for x 2/3=x-1/5

Answers

Answer:

x = 13/15

Step-by-step explanation:

If x - 1/5 = 2/3,

you can find x by doing 2/3 + 1/5.

2/3 = 10/15

1/5 = 3/15

10/15 + 3/15 = 13/15!

Hope this helps! Happy Holidays! XD

1/3 + 4 × 2/3 + (-12) ÷ 4

Answers

The answer of your question is zero

If the slope is 3 what does it represent using this table

Answers

Answer:

The table represents a linear function.

The graph of linear function y = 3x is attached below.

Step-by-step explanation:

Given the table

Number of Hours           1             3                 5

Number of Tents             3            9                15

Given that the slope is 3.

Finding the slope between (1, 3) and (3, 9)

Slope = (y₂-y₁) / (x₂-x₁)

          = [9-3] / [3-1]

           = 6 / 2

           = 3

Finding the slope between (3, 9) and (5, 15)

Slope = (y₂-y₁) / (x₂-x₁)

          = [15-9] / [5-3]

           = 6 / 2

           = 3

As the value of slope remains constant i.e. slope = m = 3.

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 3 and the point (1, 3)

[tex]y - 3 = 3 (x-1)[/tex]

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

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

[tex]y = 3x[/tex]

Comparing with the slope-intercept form of a linear function of line

y = mx+b     where m is the slope and b is the y-intercept

slope = 3 and y-intercept b = 0

Therefore, the table represents a linear function.

The graph of linear function y = 3x is attached below.

Admission to the local amusement park cost $5.25 and each ride cost $2.50 which of the following equations represents the cost C in dollars for admission to the park with ex ride tickets?

Answers

Answer:

C=2.50r+5.25

Step-by-step explanation:

(r represents each ride cost)

5.25 would be the y-intercept since that's the initial fee to enter the park, and 2.50 would be the slope since each ride would cost that much.

5.25+2.5x=c (cost) x is how many rides

so if Sarah has 10 apples and shes gives 2 to Jack, and Noah gives Sarah 8 more. How many apples does Sarah have now?

Answers

Answer:

She would have 16

Step-by-step explanation:

10-2=8

8+8=16

what is the y-intercept of f(x)=3/5x
a. (1, 0)
b. (1, 3/5)
c. (0, 0)
d. (0, 1)

Answers

Answer
F(0)=0

I can put the work in the comments if you need it :)

Answer:

o,1

Step-by-step explanation:

help please, will give brainliest!
A. the equation has two true solutions
B. the equation had one true solution
C. the equation has one extraneous solution
D. the equation has one true solution and one extraneous solution ​

Answers

Answer:

C. the equation has one extraneous solution

Step-by-step explanation:

Given equation:

x/(x - 1) + 2/(x + 2) = -6/(x² + x - 2)

Common denominator is x² + x - 2, consider x ≠ 1 and x≠ -2

Multiply both sides by x² + x - 2:

x(x + 2) + 2(x - 1) = -6x² + 2x + 2x - 2 + 6 = 0x² + 4x + 4 = 0(x + 2)² = 0x + 2 = 0x = -2

There is one solution but it is not true one.

Option C is correct

Answer:

[tex] \frac{x}{x - 1} + \frac{2}{x + 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ \frac{x(x + 2) + 2(x - 1)}{(x - 1)(x + 2)} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 2x + 2x - 2 }{ {x}^{2} + 2x - x - 2} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 4x - 2 }{ {x}^{2} + x - 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ {x}^{2} + 4x - 2 = - 6 \\ {x}^{2} + 4x + 4 = 0 \\ {x}^{2} + 2 \times 2 \times x + {2}^{2} = 0 \\ {(x + 2)}^{2} = 0 \\ x + 2 = 0 \\ \boxed{x = - 2 }[/tex]

x =-2 is the right answer.

C. the equation has one extraneous solution.

Evaluate u+xy for u=17 x=4 and y=8

Answers

The answer is 49 I think
The anser 49 17+ 4 multiply 8

Find the inverse:
-3x+7y=14

Answers

9514 1404 393

Answer:

  -3y +7x = 14

Step-by-step explanation:

The inverse relation is found by swapping the x- and y-variables. The relation that is the inverse of ...

  -3x +7y = 14 . . . . given relation

is

  -3y +7x = 14 . . . . inverse relation

The probability that a women likes the color blue is 10%. The probability of being a women is 40%.What is the probability that a person likes the color blue given that they are a woman?​

Answers

Answer:

The probability that a person likes the color blue given that they are a woman=0.25%

Step-by-step explanation:

We are given that

The probability that a women likes the color blue=10%=[tex]\frac{10}{100}=0.1[/tex]

The probability of being a women=40%=[tex]\frac{40}{100}=0.4[/tex]

We have to find the probability that a person likes the color blue given that they are a woman.

We know that

Conditional probability formula

[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]

The probability that a person likes the color blue given that they are a woman

=[tex]\frac{0.1}{0.4}[/tex]

[tex]=\frac{1}{4}=0.25[/tex]

Hence, the probability that a person likes the color blue given that they are a woman=0.25%

I can't figure this out
Please help!!

Answers

Answer: y=-1/3x+5

Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get  -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!

Duela de 1a 1 1/2 x 10 x 3, $ 120.00 m2

Answers

¡Hola!

¿Qué puede significar una duela de 1 a 1 1/2 x10x3 $ 120.00m2?

Este ejercicio es para que puedas acomodar la información para que quien la lea tenga una forma de entenderla claramente así:

1. Primero podríamos decir que una duela es una tabla de madera que se curva y contornea los barriles o también las tablas de los pisos.

2. Lo siguiente es para confirmar que la mesa es de excelente calidad, es decir, Primera o.

3. 1, puede hacer referencia a una unidad.

4. 1/2 x10x3 este puede ser su volumen en centímetros 1 / 2cm de alto, 10cm de largo y 3cm de ancho.

5. Por último, el precio de la duela, 120.000 dólares el metro cuadrado.

Entonces podemos organizar todo esto:

Duela de Primero, 1 unidad; 1/2 cm de alto, 10cm de largo y 3cm de ancho, con un precio de $ 120.00 el metro cuadrado.

¡Espero haber ayudado!

find the unit price if it cost $3 for eight cans of soda. round to the nearest cent.

Answers

Answer:

0.40 the actual answer is 3.20 but you said round so

Step-by-step explanation:

Answer:

0.38 is the answer for me

Step-by-step explanation:

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