Find the angle measures.
Justify your responses.
Given: a ||b, m∠6=128°
Find: m∠1, m∠3

Answers

Answer 1
It's given that a║b and m∠6 = 128°
Since, ∠1 and ∠3 are the consecutive interior angles,
m∠6 + m∠1 = 180°
128° + m∠1 = 180°
m∠1 = 180° - 128°
= 52°
Since, ∠6 and ∠3 are the corresponding angles,
Therefore, ∠6 ≅ ∠3
m∠3 = m∠6 = 128°
Answer 2

Answer:

Step-by-step explanation:

It's given that a║b and m∠6 = 128°

Since, ∠1 and ∠3 are the consecutive interior angles,

m∠6 + m∠1 = 180°

128° + m∠1 = 180°

m∠1 = 180° - 128°

= 52°

Since, ∠6 and ∠3 are the corresponding angles,

Therefore, ∠6 ≅ ∠3

m∠3=52°


Related Questions

Evaluate the following expression. Express your answer in simplest form.
3
16
+
5
18
1
2
5
16
10
32

Answers

Answer:

518125161348

Step-by-step explanation:

                316

518125161032

-------------------------

518125161348

Enter an equation in standard form for the line.
Slope is -5, and (-6, -10) is on the line.

Answers

Y+10=-5(x+6)
Y +10= -5x-30
5x+y+40=0
Full detailed explaination!

What is the greatest possible error if Irina measured the weight of her dog as 13 pounds?

Answers

Answer:

0.5

Step-by-step explanation:

Given that:

Irina measured the weight of her dog to be 13 pounds.

The greatest possible error that could have to occur will be the maximum error.

Let assume that the 13th value obtained was rounded between the range of 12.5 → 13.49 to 13 pounds

Then;

The greatest possible error that could have to occur = 13.0 - 12.5 pounds

The greatest possible error that could have to occur = 0.5 pounds

Answer:

0.5

Step-by-step explanation:

EDGE 2020 Unit Test

I need serious help please!

Equation of a line: given that m equals 5 and P(2,3), find the y-intercept (b), and write the equation of the line in slope intercept form

Equation of a line: given that m equals -2 and P(-4,5), find the y-intercept (b), and right equation of the line and slope intercept form

Giving P(3, -5) and Q(6,3). Find the slope of the line passing through the two points

Answers

Answer:

1. y-intercept = -7

equation: y = 5x - 7

2. y-intercept = -3

equation: y = -2x - 3

3. slope = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

slope-intercept form: y = mx + b

slope formula: [tex]\frac{y2 - y1}{x2 - x1}[/tex]

To write an equation in slope-intercept form, you need to know the slope(m) and the y-intercept(b).

1. Given: m = 5, P(2, 3). To find the y-intercept, input the given values of m and the point into the equation format and solve for b:

y = mx + b

3 = 5(2) + b

3 = 10 + b

-7 = b

The y-intercept is -7.

Now that we know the slope and the y-intercept, we can write the equation:

y = 5x - 7

2. Given: m = -2, P(-4, 5). To find the y-intercept, input the given values of m and the point into the equation and solve for b:

y = mx + b

5 = -2(-4) + b

5 = 8 + b

-3 = b

The y-intercept is -3.

Now that we know the slope and the y-intercept, we can write the equation:

y = -2x - 3

3. Given: P(3, -5), Q(6, 3). To find the slope, input the given points into the slope formula:

(3, -5) = (x1, y1)

(6, 3) = (x2, y2)

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{3-(-5)}{6-3}[/tex]

Simplify:

3 - (-5) = 3 + 5 = 8

6 - 3 = 3

[tex]\frac{8}{3}[/tex]

The slope of the line passing through points P and Q is [tex]\frac{8}{3}[/tex].

I hope this helps. :)

Which of the following numbers is not a prime number?
A) 13
B) 17
C) 18
D) 19
E) 23

Answers

C) 18 is not a prime number
1, 2, 3, 6 ,9, 18
Are all factors of 18, making it not prime
18 is not a prime number

These two polygons are similar
y = [?]

Answers

Answer:

w = 9

x = 12

y = 5

z = 3

Step-by-step explanation:

The corresponding sides of similar polygons are proportional.

Therefore:

[tex] \frac{w}{3} = \frac{x}{4} = \frac{15}{y} = \frac{9}{z} = \frac{6}{2} [/tex]

Solve for each variable as follows:

✔️[tex] \frac{w}{3} = \frac{6}{2} [/tex]

Multiply both sides by 3

[tex] w = \frac{6}{2} \times 3 [/tex]

[tex] w = 3 \times 3 [/tex]

[tex] w = 9 [/tex]

✔️[tex] \frac{x}{4} = \frac{6}{2} [/tex]

Multiply both sides by 4

[tex] x = \frac{6}{2} \times 4 [/tex]

[tex] x = 3 \times 4 [/tex]

[tex] x = 12 [/tex]

✔️[tex] \frac{15}{y} = \frac{6}{2} [/tex]

Cross multiply

[tex] y \times 6 = 2 \times 15 [/tex]

[tex] 6y = 30 [/tex]

Divide both sides by 6

[tex] y = 5 [/tex]

✔️[tex] \frac{9}{z} = \frac{6}{2} [/tex]

Cross multiply

[tex] z \times 6 = 2 \times 9 [/tex]

[tex] 6z = 18 [/tex]

Divide both sides by 6

[tex] z = 3 [/tex]

Answer this question and I will give you brainliest and help on anything

Answers

Answer:

The answer is 27

Step-by-step explanation:

You count how many lines it takes up and add them together

find the sum of the series -10-5-0+......+75​

Answers

Okay so the sum is basically higher numbers example.
The explanation

Simplify: (4/3q)^4. You may assume that any variables are nonzero.

Answers

Answer:

[tex]\frac{256}{81q^{4} }[/tex]

Step-by-step explanation:

How many yards long is a piece of fabric witha width of 5/8 yrd nd a area of 2 3/4 square yards?

Answers

Answer:

D. [tex] 4\frac{2}{5} [/tex]

Step-by-step explanation:

Area of fabrics = 2¾ square yards

Width of fabrics = ⅝ yard

Length of fabrics = x

Area = length * width

Therefore:

2¾ = ⅝*x

Change the mixed fraction to improper fraction

[tex] \frac{11}{4} = \frac{5x}{8} [/tex]

Cross multiply

[tex] 4*5x = 11*8 [/tex]

[tex] 20x = 88 [/tex]

Divide both sides by 20

[tex] \frac{20x}{20} = \frac{88}{20} [/tex]

[tex] x = \frac{22}{5} [/tex]

[tex] x = 4\frac{2}{5} [/tex]

[tex] length = 4\frac{2}{5} [/tex]

Which of the following is the mean of the sampling distribution

Answers

I have no idea srry i need points

If f(x)= -3x+4 and g(x)=2, solve for the value of x for which f(x)=g(x) is true

Answers

Answer:

If i did this right the answer would be f(2)=g(2)

both numbers are 2 and the numbers are (x) so x=2

Step-by-step explanation:

Hope this helps Kas <33

A company has 3835 employees. Each employee is to be given an ID number that consists of one capital letter followed by 1 digits.
How many different ID numbers are possible?

Answers

Answer:

7670

Step-by-step explanation:

A square patio has an area of 182 square feet. How long is each side of the patio to the nearest tenth?

Answers

Answer:

13.5 feet

Step-by-step explanation:

Square root of 182 = 13.49

the answer is 13.5 feet

Of the last 18 trains to arrive at Kensington Station, 12 were on time. What is the experimental probability that the next train to arrive will be on time?

Answers

Answer:

6 were late taht is a step to help you

Step-by-step explanation:

12

A study was done to investigate the population of bald eagle breeding pairs over time. The correlating regression model is shown

below where x represents the number of years after 1986, and y represents the number of bald eagle breeding pairs. Interpret the y-

intercept

y=1.772-334

A. There were approacimately 334 eagle breeding pairs in 1986.

B. There were approximately 1.772 eagle breeding pairs in 1986.

c. There were approximately 1.772 additional eagle breeding pairs each year after 1986.

D. There were approximately 334 additional eagle breeding pairs each year after 1986

Answers

Complete question :

A study was done to investigate the population of bald eagle breeding pairs over time. The correlating regression model is shown

below, wiere x represents the number of years after 1986, and y represents the number of bald eagle breeding pairs. Interpret the y-

intercept

y = 1.772 +334x

Answer:

B. There were approximately 1.772 eagle breeding pairs in 1986

Step-by-step explanation:

Given the regression equation : y = 1.772 +334x

Recall the general form of a linear regression equation :

y = mx + c

y = predicted variable ; x = predictor Variable ; c = intercept ; m = slope

x = number of years after 1986 ; y = number of bald eagle pairs.

The intercept is a constant value at time t = 0

For x to be 0, on a graph, this this the value on the y axis where the regression line crosses the y - axis. That is in 1986; the number of y when in 1986 when x = 0 is 1.772

Help plzzzz I give extra points!

Answers

Answer: D

Step-by-step explanation:

3x-4 = -22

3x = -18

x= -6

Answer:

X = -6

Step-by-step explanation:

3x - 4 = -22

3x = -22 + 4

3x = -18

x = -18/3

x= -6

Help! Thank you in advance!

Answers

Answer:

option 3

both (3, 2) and (2, -1) are solutions

Answer:

C

Step-by-step explanation:

-3x + y = -7

use (3, 2) as plug ins for x and y

-3x + y = -7 (rewrite)

-3 x 3 + 2 = -7 (solve)

-3 x 3 = -9

-9 + 2 = -7

same with the other numbers (2, -1)

but i'm lazy

what is 206 divided :) 6

Answers

Answer:

if you mean 206 divided by 6 than the answer will 34.3 (rounded)

Step-by-step explanation:

I used a calculator

Find the exact value of tan^-1(1)
A. Pi/4
B. 7pi/4
C. 5pi/4
D. 3pi/4

Answers

the answer to this equation is C. Hope this helps!

A recipe used 2/3 cup of sugar for every 2 teaspons of vanilla. How much sugar was used per teaspoon of vanilla?

Answers

Answer:

1/3 cups of vanilla per teaspoon

Step-by-step explanation:

What is the distance between (-3,-5) and (-3, 2)?

Answers

Answer: 7 units

Step-by-step explanation:

Just plot the numbers, then count the distance between them

Jordan was asked to convert 345,000,000 to scientific notation. His response was 34.5 x 10^7. His teacher told him he was incorrect. Explain Jordan’s mistake and determine the correct answer

Answers

Answer:

345,000,000 =3.45 x 10^8

Step-by-step explanation:

To convert a number to scientific notation, place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10. This is Jordan mistake, 34.5 is greater than 10. Which is incorrect!

explanation:

you have 345,000,000

Keep moving the dot till you have 3.45

Then count how many spaces you've moved

To get to 3.45, it took you 8 moves so you would have 3.45*10^8 as your answer

what fraction is equivalent to 0.56​

Answers

Answer:56/100

Step-by-step explanation:

The fraction equivalent to decimal number 0.56 is, 14/25

What is a fraction?

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

The decimal number 0.56

The equivalent fraction number = ?

For converting it into fraction,

We have to multiply and divide given number by 100

Now,

⇒  0.56 x(100/100)

⇒  56/100

Further, it can be solved

⇒  28/50

⇒   14/25

Thus, the equivalent fraction is 14/25

To know more about Fraction check:

https://brainly.com/question/8482939

#SPJ1

Grace drew a triangle with sides of equal length. Its measured with sides of 3 cm. What is the perimeter of the triangle?

Answers

Answer:

9 cm explained to

Step-by-step explanation:

explained that

please help and I will mark big brain ​

Answers

81, an=-12+((32)-1)3

32-1=31 times 3=93-12=81

factor polynomial 4x^2+4x+1

Answers

Answer:

(2x+1)^2

Step-by-step explanation:


1) The width of a rectangle is 6 meters less than its length. The area is 315 square meters. Find the length of the
rectangle

Answers

Answer:21

Step-by-step explanation:

x=length

x(x-6)=315

x^2-6x=315

x^2-6x-315=0

(x-21)(x+15)

x=21, x=-15

x cannot be negative so the only answer is 21

David's Parents have a sandwich shop. They sell sandwiches for $5 each and
bottles of water for $1 each. The owners, David's Parents, need to earn a total of
$100 by the end of the day.
a) Write a linear equation that describes the problem
b) What are the slope and the y-intercept and what do they represent?
c) Graph the linear equation the shop's revenue. Make sure to label both axes with
appropriate titles.
d) Then use the graph to determine how many sandwiches the shop must sell if no
waters are sold.

Answers

Answer:

d is answer have a great day

What is the value of r2s for r=10 and ​s=2?

Answers

Hey there!

10(2)(2) 10(2) = 2020(2) = 40Thus, your answer is: 40

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst

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