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

What is the LMC of 10 and 8

Answers

Answer:

The LCM of 10 and 8 is 40.

Hope I helped :)

Least common multiple would be (LCM) of 8 and 10 is 40.

determine the intersepts of the lines ​

Answers

Answer:

Y-intercept is (0, 100) and the X-intercept is (-250, 0)

Step-by-step explanation:

For the y-intercept the line from the origin does not move left or right and stays at 0 but it goes up by 100.

For the x-intercept the line does not go up and down but it goes to the left -250.

Graph the equation y = 3x - 6
Select two points to graph the line.

Answers

Answer:

y intercept is -6 put your first point on that y intercept

Step-by-step explanation:

from -6  rise 3 and run 1 (to the right )

whats that point ?  (0,2)

from  that point 2.... run 1 ( to the right and up 3) that will take from x4 to y6

(0,2) (4,6) Two points

y2 -y1 = 6

x2-x1  =2

6/2 simplified is 3/1

Make sense?

whats the answer for this pre algebra equation

1-c+4c-29

Answers

The correct answer is 3c-28. Combine like terms or simplify:)

Two-thirds of the fruit in a basket are apples. One-fourth of the apples are green apples. What fraction of the fruit in the basket are green apples?

Answers

Answer:

1/6

Step-by-step explanation:

2/3*1/4

=2/12

=1/6

PLS GIVE BRAINLIEST

First, we need to find the least common denominator. This would be 12. So, our new fractions would be 8/12 and 3/12. We know that 8/12 of the basket are apples, and we need to take away the 3/12 of the green apples. This means there are 5/12 of the red apples.

Hope this helps :)

Find the equation of the line.
6
The line is parallel to y =--x + 1 and passes through the point (-7, -3).
7
The equation of the line is

Answers

Answer:

y = - x - 10

Step-by-step explanation:

y - (- 3) = - (x + 7)

y = - x - 10

Express into slope form

Answers

Answer: y= 3/2x+1

Step-by-step explanation:

Divide 4 1/2 by the following unit fractions.

a) 1/8

Answers

Answer:

4 1/2 divided by 1/8 = 16

Step-by-step explanation:

Look at the attachment below: Hope it helps!

The solution of expression divided [tex]4\dfrac{1}{2}[/tex] by the unit fractions [tex]\dfrac{1}{8}[/tex] is, 36

Given that,

Divide [tex]4\dfrac{1}{2}[/tex] by the unit fractions [tex]\dfrac{1}{8}[/tex].

Now, The expression divide [tex]4\dfrac{1}{2}[/tex] by the unit fractions [tex]\dfrac{1}{8}[/tex] is written as,

⇒ [tex]4\dfrac{1}{2} \div \dfrac{1}{8}[/tex]

Change the divide symbol into multiplication,

⇒ [tex]4\dfrac{1}{2} \times 8[/tex]

Change the fraction into an improper fraction,

⇒ [tex]\dfrac{9}{2} \times 8[/tex]

⇒ [tex]\dfrac{72}{2}[/tex]

⇒ 36

Therefore, the solution of expression is, 36

To learn more about the fraction visit:

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Someone please help ASAP will mark as Brainliest

Answers

36 hope this helps . And the decimal form is .36

A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that Cephei Joe is a star for which the interval between times of maximum brightness is 5.3 days. Its average brightness is 2.9 and the brightness changes by /- 0.35. Using this data, we can construct a mathematical model for the brightness of Cephei Joe at time t, where t is measured in days:______.B(t)=4.2 +0.45sin(2pit/4.4)
(a) Find the rate of change of the brightness after t days.
(b) Find the rate of increase after one day.

Answers

Answer:

[tex]\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})[/tex]

0.16

Step-by-step explanation:

According to the question the mathematical model should be

[tex]B(t)=2.9+0.35\sin(\dfrac{2\pi t}{5.3})[/tex]

Differentiating with respect to time we get

[tex]B'(t)=0.35\cos(\dfrac{2\pi t}{5.3})\times(\dfrac{2\pi}{5.3})\\\Rightarrow B'(t)=\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})[/tex]

So, the rate of change of brightness after t days is [tex]\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})[/tex]

After 1 day means [tex]t=1[/tex]

[tex]B'(1)=\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi\times 1}{5.3})\\\Rightarrow B'(1)=0.16[/tex]

The rate of increase after one day is 0.16.

A random sample of 84 students at a university showed an average age of 22 years and a sample standard deviation of 3 years. Find the margin of error for the 94% confidence interval. (Assume that the population of students is large relative to the sample size. Round your solution to 4 decimal places)

Answers

Answer:

The margin of error for the 94% confidence interval is 0.6154.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean is:

[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]

The margin of error of this interval is:

[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]

The critical value of z for 94% confidence level is, z = 1.88.

Compute the margin of error for the 94% confidence interval as follows:

[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]

          [tex]=1.88\times\frac{3}{\sqrt{84}}\\\\=0.6154[/tex]

Thus, the margin of error for the 94% confidence interval is 0.6154.

Point Tis on line segment SU. Given ST = 2 and TU = 15, determine the length
SU.

Answers

Answer:

SU = 17

Step-by-step explanation:

The line looks like this

S--T---------------U

If you add 2 + 15 = 17

Hope this helps ya!!

A teacher designs a test so a student who studies will pass 90% of the time, but a student who does not study will pass 11% of the time. A certain student studies for 85% of the tests taken. On a given test, what is the probability that student passes?

Answers

Answer:

probability that student passes = 0.7815

Step-by-step explanation:

Given:

Student studies = 85% = 0.85

Student not study = 11% = 0.11

Student who pass = 90% = 0.90

Computation:

P(student not pass) = 1 - 0.85

P(student not pass) = 0.15

probability that student passes = P(Student studies)(Student who pass) + P(Student not study)(student not pass)

probability that student passes = (0.85)(0.90) + (0.15)(0.11)

probability that student passes = 0.765 + 0.0165

probability that student passes = 0.7815

Using the percentages given, it is found that there is a 0.7815 = 78.15% probability that student passes.

The percentages associated with passing the test are given by:

90% of 85%(student studies for the test).11% of 15%(student does not study for the test).

Hence, adding these percentages:

[tex]p = 0.9(0.85) + 0.11(0.15) = 0.7815[/tex]

0.7815 x 100% = 78.15%

There is a 0.7815 = 78.15% probability that student passes.

A similar problem, also involving the use of percentages, is given at https://brainly.com/question/25960993

chen is baking muffins and banana bread for brunch buffet. he needs 3 1/5 cups of flour to make the muffins and 3 2/3 cups of flour to make the banana bread. which is the best estimate of the number of cups of flour needed​

Answers

Answer:

I think 7 would be the estimate if im wrong this is the specific number 6 13/15

Step-by-step explanation:

Answer:

She will need aproximately 7 cups

Step-by-step explanation:

First, you add 3 1/5 and 3 2/3 which is 6.86666666667

Just round that answer up and that'll give you seven

n = 2, a = 16


"Find the indicated real nth root(s) of a.

Answers

x^n = a
x^2 = 16
Square root of 16 = 4
The root is 4

The value of the indicated real nth root(s) of a will be 4.

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The values are,

⇒ n = 2, a = 16

Now,

Since, We know that;

The indicated real nth root(s) of a = [tex]\sqrt[n]{a}[/tex]

Here, The values are,

⇒ n = 2, a = 16

Thus, The indicated real nth root(s) of a is,

⇒ [tex]\sqrt[n]{a}[/tex]

⇒ ²√ 16

⇒ 4

Thus, The indicated real nth root(s) of a = 4.

Learn more about the indicated nth root visit:

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What are the roots of the equation 3x^2-4x+4=0?

Answers

Answer:

[tex]x=\frac{2(1\pm i\sqrt{2} )}{3}[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]√-1 is imaginary number i

Step-by-step explanation:

Step 1: Define

3x² - 4x + 4 = 0

a = 3

b = -4

c = 4

Step 2: Find roots

Substitute:                    [tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4(3)(4)} }{2(3)}[/tex]Simplify:                        [tex]x=\frac{4\pm\sqrt{(-4)^2-4(3)(4)} }{2(3)}[/tex]Evaluate:                       [tex]x=\frac{4\pm\sqrt{16-4(3)(4)} }{2(3)}[/tex]Multiply:                        [tex]x=\frac{4\pm\sqrt{16-48} }{6}[/tex]Subtract:                       [tex]x=\frac{4\pm\sqrt{-32} }{6}[/tex]Factor:                          [tex]x=\frac{4\pm\sqrt{-1} \sqrt{32} }{6}[/tex]Simplify:                       [tex]x=\frac{4\pm4i\sqrt{2} }{6}[/tex]Factor:                          [tex]x=\frac{4(1\pm i\sqrt{2} )}{6}[/tex]Simplify:                       [tex]x=\frac{2(1\pm i\sqrt{2} )}{3}[/tex]

If f(x) =(1/7)(7x)what is (3)?
?

Answers

Answer:

f(3) = 3

Step-by-step explanation:

f(x) = (1/7)(7x)

f(3) = (1/7)(7×3)

f(3) = (1/7)(21)

f(3) = 3

Irina predicted that she would sell 75 books, but she actually sold 95 books. Which expression would find the percent error?

Answers

Percent error = |actual error - expected error/ expected error| * 100%
(|75-95|)/95 = 0.21
0.21 * 100% = 21% error

[[[click on the image to make bigger]]]

I really need questions 2 and 4 for this!! please ​

Answers

Answer:

It equals pizza 3’5.42 inch

Step-by-step explanation:

A die is rolled twice. Find the chance that the ace (single dot) comes up on one of the two rolls, but not both. Record your answer as a percentage rounded to the nearest tenth of a percent.

Answers

Answer:

13.9%

Step-by-step explanation:

In order to calculate the probability of this happening, we would need to multiply the probability of one of the rolles being an ace with the probability of one of the roles NOT being an ace. Since the probability of rolling an ace is 1/6 (since there is only one ace in a six-sided die) then the probability of NOT rolling an ace is 5/6

[tex]\frac{1}{6} * \frac{5}{6} = \frac{5}{36}[/tex] or 0.1388     multiply by 100 to get percentage value

0.1388 * 100 = 13.9%

Therefore, the probability of getting one ace and one non-ace roll is 13.9%

On his most recent math test, Jeremy answered 48 questions correct out of 80 total questions. Which statement can be made about Jeremy's math test?

Answers

Answer:

Jeremy has gotten more than half of the test's questions correctly.

Step-by-step explanation:

To get half of the questions correctly, Jeremy needed at least 40, and Jeremy got more than 40, meaning he got more than half.

PLEASE HELP!!!

DUE IN AN HOUR!!!

Answers

Answer:

Don't cheat u cheater...

Please help me solve for all the numbers

Answers

Answer: 10,8,5 are all right angles (90 degrees) 7,6,9,2 are all acute angles and are 42 degrees

1 and 3 are obtuse angles and they are 117 degrees.

Step-by-step explanation:

-1,000 -999 < > or = and why​

Answers

Answer:

-1,000

Step-by-step explanation:

Answer:

The answer is -1,000 > -999

Step-by-step explanation:

That is because the more further you go away from the zero into the negatives on a number line graph, the bigger the number with a negative sign is, that considered smaller

please someone help me out on this

Answers

Answer:

I think it is C

Step-by-step explanation:

   

im  sorry if i am wrong    

Answer:

I think it is supplementary, I may be wrong but I googled supplementary angles and the examples kinda looked like that.

answer choices are
A:45°
B:180°
C:61°
D:119°

Answers

Answer:

Option c: 61° is the correct answer

Step-by-step explanation:

By the diagram attached with the question, we can conclude that a transversal is interesting two parallel lines which results in formation of 8 angles.

Angle 3 and angle 5 are interior angles on same side of transversal.

When a transversal intersects two parallel lines, the interior angles on same side of transversal are supplementary angles i.e. their sum is 180°

So using this

m∠3+m∠5 = 180°

m∠3 + 119° = 180°

m∠3 = 180°-119°

m∠3 = 61°

Hence,

Option c: 61° is the correct answer

3x^2-x=4
please help​

Answers

Answer:

x=1 4/3

Step-by-step explanation:

zen throws a bad upward with an initial upward velocity of 64ft/s. the ball is 5 ft when it leaves her hand in how many second will the ball reach its maximum height? What is the balls maximim height?

Answers

Answer:

12.8 seconds

Step-by-step explanation:

you invest $4500 into an interest earning account that compounds daily at 5%.How much will you have in 6 years.How much interest will you earn​

Answers

Answer:

4500*1.05^(365*6) = 1.1422929e+50

If his truck pulls forward with a force of 2,750 newtons and the weight of the trailer pulls backward with a force of 2,790 newtons, which of the following statement is true?
A.
The truck will experience a net force of 2,750 newtons forward.
B.
The forces acting on the truck and trailer are balanced.
C.
The truck and trailer will experience a net force of 40 newtons backward.
D.
The truck and trailer will experience a net force of 40 newtons forward.

Answers

the answer is A. the force will always pull back a lot deals with gravitational pull

Answer:

The answer is c

Step-by-step explanation:

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