Mathematics High School

If a and b are parallel lines and m <3 = 128º, what is the measure of <8?

A) 134º
B) 54º
C) 52º
D) 49º

Image Bellow :-)! thanks in advance! =]

Answers

Answer 1
Final answer:

Given the information that angle 3 is 128 degrees and lines a and b are parallel, angle 8 would also be 128 degrees. But none of the provided options matches 128 degrees, implying missing or incorrect information in the question.

Explanation:

In geometry, if lines are parallel, the corresponding angles are equal. Given that a and b are parallel lines and angle 3 is 128°, if angle 8 corresponds to angle 3, angle 8 would also be 128°. However, the possible values provided don't include 128°. Therefore, there seems to be insufficient information or a mistake in the question to give a definite answer. All possible answers: A) 134º, B) 54º, C) 52º, D) 49º - don't match with 128º. Perhaps there's an intermediary step or piece of information missing.

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Related Questions

The length of a rectangular jewelry box is 3 inches more than twice the width. the perimeter is 18 inches

Answers

Final answer:

The width of the rectangular jewelry box is 2 inches and the length is 7 inches. These dimensions satisfy the given relationship between the length and width and the specified perimeter of 18 inches.

Explanation:

To solve the problem of finding the dimensions of a rectangular jewelry box where the length is 3 inches more than twice the width, and the perimeter is 18 inches, let's define the width of the box as w inches. Subsequently, the length will be 2w + 3 inches, as stated by the relation given in the problem. The perimeter of a rectangle is calculated by the formula P = 2l + 2w, where l is the length and w is the width of the rectangle. We can set up the equation:

18 = 2(2w + 3) + 2w
Solving the equation for w gives us:

18 = 4w + 6 + 2w
18 = 6w + 6
12 = 6w
w = 2

Now that we have the width, we can find the length:

Length = 2w + 3 = 2(2) + 3 = 7 inches
So, the width of the jewelry box is 2 inches and the length is 7 inches.

This coordinate plane shows the shape of a hang glider. The perimeter of the glider is to be trimmed with a special material. What is the minimum length of material needed?

Answers

On x axis we will need 24 feets of material. on y axis we will need 2 times 2 feet which is 4 feet for those sides.

now there are lines that are not paralel to x and y so it is not that simple (but not hard either) to calculate lenghts. we can use formula for distance between 2 dots.

we will use dots: (12,7) and (0,2)
from that using pythagoras theorem we can see that distance is:
d = √12^2 + 5^2 = 13
Total lenght is:

2*13 + 24 + 4 = 26 + 28 = 54

X = 24 ft Of Materials

Y = 2 ft Of Distance

X = (12,7)

Y = (0,2)

Using The Pythagoras Theorem

[tex]D=\sqrt{12^{2}+5^{2}}=13[/tex]

Total lenght is:

[tex]\left[\begin{array}{ccc}3*13+24+4=26\\26+28=54\end{array}\right][/tex]

Given f(x)=17-x^2, what is the average rate of change in f(x) over the interval [1, 5]?

Answers

Answer:A

Step-by-step explanation:

(f(5) - f(1))/(5 - 1) =

(17 - 5^2 - (17 - 1^2))/4 =

(17 - 25 - 17 + 1)/4 = 6

Write 9 decimals with two decimal places that when rounded to the nearest tenth round to 8.7

Answers

8.65
8.66
8.67
8.68
8.69
8.70
8.71
8.72
8.73

9 decimals with two decimal places that when rounded to the nearest tenth round to 8.7 are 8.65, 8.66, 8.67, 8.68, 8.69, 8.70, 8.71, 8.72 and 8.73.

What is the rounding off numbers?

Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.

We need to write 9 decimals with two decimal places that when rounded to the nearest tenth round to 8.7

8.65, 8.66, 8.67, 8.68, 8.69, 8.70, 8.71, 8.72 and 8.73.

Therefore, 9 decimals with two decimal places that when rounded to the nearest tenth round to 8.7 are 8.65, 8.66, 8.67, 8.68, 8.69, 8.70, 8.71, 8.72 and 8.73.

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Q: if AB is parallel to CD, which statement is true? Answers: A- AB And CD do not intersect B- AB And CD intersect at 90 angles. C- The perpendicular distance between AB and CD increases as the lines are traversed left to right. D- the perpendicular distance between AB and CD decreases as the lines are traversed right to left.

Answers

A- AB And CD do not intersect
the correct answer would be A- AB and CD do not intersect

A player moves a knight from location (3, 2) to (5, 1) on a chessboard. If the bottom-left square is labeled (1, 1), which description matches the translation?

2 squares up, 1 square right

1 square down, 2 squares left

1 square down, 2 squares right

2 squares down, 1 square right

Answers

First we have to note which number represents which axis. As a general rule x axis represents first number. It describes if figure is moving left or right.

Second number is y axis and it describes if figure is moving up or down.

Now that we said that we can see that x axis increased by 2 while y axis decreased by 1. Description that matches is:

1 square down and 2 squares right.

Answer:

1 square down, 2 squares right

Step-by-step explanation:

Write the equation 16x 11y = −88 in slope-intercept form.

Answers

The answer to your problem is 11y = -16x -18.
Final answer:

The equation 16x + 11y = -88 when rearranged in slope-intercept form is y = (-16/11)x - 8, with a slope of -16/11 and a y-intercept of -8.

Explanation:

To write the equation 16x + 11y = -88 in slope-intercept form, we need to solve for y in terms of x. The slope-intercept form of a straight line is y = mx + b, where m is the slope and b is the y-intercept. Following the algebra of straight lines, we rearrange the equation as follows:

Subtract 16x from both sides: 11y = -16x - 88.Divide each term by 11 to solve for y: y = (-16/11)x - 8.

This gives us the slope-intercept form, where the slope (m) is -16/11 and the y-intercept (b) is -8. The slope means that for every increase of 11 units in the x-direction, y decreases by 16 units. The y-intercept is the point where the line crosses the y-axis, which is at y = -8 when x = 0.

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What is the simplified form of x + 6/3 - x + 2/3

Answers

The simplified form of the given expression x + 6/3 - x + 2/3 is 8/3 after combining like terms and simplifying the constants.

The question involves simplifying a mathematical expression.

The expression given is:

x + 6/3 - x + 2/3.

To simplify this expression, combine like terms.

Since x is present in both the first and third terms, they cancel each other out.

Next, combine the constant terms 6/3 and 2/3. This results in:

6/3 + 2/3 = (6 + 2) / 3 = 8/3

The simplified form of the expression is therefore 8/3.

2x-3y=13 y=1/2x-7/2 as a substitution problem

Answers

y = 1/2x - 7/2
so replace y with 1/2x - 7/2 in ur other equation

2x - 3y = 13
2x - 3(1/2x - 7/2) = 13....distribute through the parenthesis
2x - 3/2x + 21/2 = 13 ...multiply entire equation by 2 to get rid of fractions
4x - 3x + 21 = 26
4x - 3x = 26 - 21...combine like terms
x = 5

2x - 3y = 13
2(5) - 3y = 13
10 - 3y = 13
-3y = 13 - 10
-3y = 3
y = -3/3
y = -1

solution is (5,-1)

Write the rule for the nth term of an arithmetic sequence in which a10=46 and d=3

Answers

Final answer:

The rule for the nth term of the arithmetic sequence is given by the formula a_n = 19 + (n - 1)×3, where a1 is the first term of the sequence and d is the common difference.

Explanation:

To write the rule for the nth term of an arithmetic sequence where the 10th term a10 is 46 and the common difference d is 3, we use the formula:

an = a1 + (n - 1)d

We have that:

a10 is the 10th term of the sequence which is 46.

The common difference d is 3.

Firstly, we need to find a1, the first term of the sequence. We can use the given a10 to find a1.

a10 = a1 + (10 - 1)×3

46 = a1 + 9×3

46 = a1 + 27

a1 = 46 - 27

a1 = 19

Now we can write the rule for the nth term:

an = 19 + (n - 1)×3

This formula allows us to calculate any term in the sequence by substituting the desired term number for n.

-7 over -10 simplified

Answers

The negatives cancel to form a positive. The answer is [tex]\frac{7}{10}[/tex]

olivia has $180 to buy presents for her 3 sisters and 2 nephews. she wants to spend $20 more on each sister then she spends on each nephew.

Answers

Answer:

she spends 44 dollars per sister, 24 dollars per nephew

Step-by-step explanation:

180=3(20+x)+2x

180=60+3x+2x

120=5x

x=24

x+20=44

Use the Distributive Property to complete the following statement:
4(x−1)=4x−


1.
–4.
4.
–1.

Answers

Hey there! Hello!

So, lets expand this problem. The distributive property basically states that multiplying two numbers being added together is the same as multiplying the outer number by the two numbers being added individually, then adding those together. Sounds way harder than it is:

[tex]x(y+z) = xy+xz[/tex]

You can apply this to your problem like this: multiply the 4 by each term in your binomial (your two terms in parenthesis), then simplify. 

[tex]4(x-1) = 4x-(4)(-1)= 4x-(-4)[/tex]

(One thing to always remember – at least, in terms of algebra and not necessarily life – two negatives always equal a positive. This is not shown above, however, because the symbol on the end of the given problem is a subtraction sign. Your answer, in this case, is (–4), or B. Hope that clears up any confusion). 

Hope this helped you out! Feel free to ask me any questions if you need further clarification. :-)

how many times does 28 go into 126????????

Answers

In order to know that, you need to divide 28 from 126
It would be: 126/28 = 4.5

So, your final answer is 4.5

Hope this helps!

Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior.

Answers

1.Corresponding,2.alternate exterior, 3.corresponding, 4.consecutive interior, 5.alternate interior, 6.alternate exterior,7.alternate interior,8.alternate exterior

When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles .When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles .When two lines are cut by a transversal, the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles .When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .

So, by the definitions the angles formed are:

Correspondingalternate exteriorcorrespondingconsecutive interior. alternate interioralternate exterioralternate interioralternate exterior

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Final answer:

Corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles are different types of angle pairs formed when a transversal intersects two parallel lines.

Explanation:

Corresponding angles:

Corresponding angles are formed when a transversal intersects two parallel lines.They lie on the same side of the transversal but on different lines.They have equal measures.

Alternate interior angles:

Alternate interior angles are formed when a transversal intersects two parallel lines.They lie on opposite sides of the transversal and on different lines.They have equal measures.

Alternate exterior angles:

Alternate exterior angles are formed when a transversal intersects two parallel lines.They lie on opposite sides of the transversal and on different lines.They have equal measures.

Consecutive interior angles:

Consecutive interior angles are formed when a transversal intersects two parallel lines.They lie on the same side of the transversal and on different lines.They have a sum of 180°.

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Mandy told Bill that she has read 16 books this year and reads 2 books each month. Bill wants to catch up to Mandy. He tracks his book reading with a table on his door. Using his table below, what month will Bill have read the same amount of books as Mandy?
Month Books
May 4
June 8
July 12

Answers

we need to write equation for both mandy and bill on how many books they read depending on how many months passed.

Mandy's equation:
16 + 2x

she starts with 16 read books and she reads 2 books each month which is in total 2*x where x is number of months

Bill's equation:
4x
because from table we can see he is reading 4 new books each month.

now we need to make those 2 equations equal to eachother and solve for x because we want to see after how many months both will read the same that is why we set them equal.

16 + 2x = 4x
16 = 2x
x = 8

That means that in december he will catch her (if i counted months correctly :) )

Classify the number 0. Check all that apply.
Real
Irrational
Rational
Integer
Whole
Natural

Answers

whole
 so think of it as a interger

Describe a real world situation that would show a strong negative correlation explain your reasoning

Answers

A strong negative correlation example would be the hours spend watching TV and your grades. It shows a strong negative correlation because if you just watch TV and not study for an exam, your grades would most likely be low.

Nam has a beginning balance of $815 in her checking account. She writes a check for $210 and has a debit transaction of $525. What is her new balance?

$125

$80

$1550

$120

Answers

The answer is 80 dollars

a number of apples divided into 12 baskets

Answers

You would represent the number of apples with the variable a.

So the equation for that word problem would be = a/12.

I hope you find this answer the most helpful! :)
If you had the amount of apples you were dividing into the baskets the equation would be a/12 because a would represent the amount of apple. 

In the problem solving process, the final step is to try to ______.



a.

Generate multiple solutions


b.

Review your results


c.

Decide on a solution


d.

Evaluate your choices

Answers

The final steps is to review your results.

This means that you have to check if the results meet the original requirements or statements.

Ideally, you should try to solve the same problem by a second method, and/or you should substitute the results into the given relationships given in the problem statement to chek coherence of your results.

Then the answer is option b.

Answer:

b. Review your results

Step-by-step explanation:

checking for mistakes should be the last step

Name the postulate or theorem you can use to prove the triangles congruent.

Answers

The question is referred to a particular pair of triangles.

They are two "siamese" right triangles. The side that they share is the hypotenuse of both triangles.

The other sides that are marked as congruent are the heights of each triangle.

Then, you can use the Hypotenuse  Leg theorem to prove the congruence of both triangles.

The hypotenuse  leg theorem states that any two rigth triangles that have congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

what is the answer to n/5- 9= 1/5

Answers

Simplifying 7n + 6 = 4n + -9 Reorder the terms: 6 + 7n = 4n + -9 Reorder the terms: 6 + 7n = -9 + 4n Solving 6 + 7n = -9 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 6 + 7n + -4n = -9 + 4n + -4n Combine like terms: 7n + -4n = 3n 6 + 3n = -9 + 4n + -4n Combine like terms: 4n + -4n = 0 6 + 3n = -9 + 0 6 + 3n = -9 Add '-6' to each side of the equation. 6 + -6 + 3n = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 3n = -9 + -6 3n = -9 + -6 Combine like terms: -9 + -6 = -15 3n = -15 Divide each side by '3'. n = -5 Simplifying n = -5

add any three numbers of the following and answer should be 60
2 , 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58

Answers

Hit and trial, no other way. Its all about how you see numbers, the better you see numbers the lesser iterations required to get the results. 

x+y+z=60

Fix the value of x to some random number( say 38), now we have 22 more units to be divided between  "y" and "z", so by randomly looking at numbers we can say that there are no results possible.

Choose another no. as "x"( say 30) , so we have 30 units between "y" and "z", still not able to reach conclusion. 

Choose another no as "x"(say 26), so we have 34 units between "y" and "z", still not able to sum up to 60.

SO after analyzing all probabilities, I came to conclusion that it is indeed a trap question!! and no real solution exists. 

But a smart  solution, not a mathematical is,
58+2=60, here we have used rather 3 digits(not numbers) to reach our goal.

What is the equation of a line that passes through point R(−4, −3) and has a slope of 7?

A: y = 7x + 25
B: y = 7x − 25
C: y = 7x + 3
D: y = −7x − 3

Answers

m = 7 is the given slope
(x,y) = (-4,-3) is the given point

Turn to slope-intercept form and use these values to find b

y = mx+b
-3 = 7(-4)+b ... plug in the given values
-3 = -28+b
-3+28 = -28+b+28
25 = b
b = 25

since we know that m = 7 and b = 25, the equation y = mx+b turns into y = 7x+25

The final answer is choice A

find the nonpermissible replacement for the variable x in this expression (x^2)/(2x-4) ? find the nonpermissible replacement for the variable x in this expression (x^2)/(2x-4) ?

Answers

Final Answer:

The non-permissible replacements for the variable x in the expression (x^2)/(2x-4) are x = 0 and x = 2.

Explanation:

An expression is undefined when its denominator is equal to zero. Therefore, we need to find the values of x that make the denominator, 2x-4, equal to zero.

Solve the equation for x: 2x - 4 = 0 2x = 4 x = 2

Therefore, x = 2 is a non-permissible replacement because it makes the denominator zero.

Additionally, the expression also includes x^2 in the numerator. Since any number multiplied by zero is still zero, dividing any non-zero number by zero results in undefined. Therefore, x = 0 is also a non-permissible replacement.

In conclusion, the non-permissible replacements for the variable x in the expression (x^2)/(2x-4) are x = 0 and x = 2.

1. Which set of ordered pairs in the form of (x,y) does not represent a function of x? (1 Point)
A. (1, 1.5), (2, -1.5), (3, 1.5), (4, 1.5)
B. (0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5)
C. (1, 1.5), (-1, 1.5), (2, 2.5), (-2, 2.5)
D. (1, 1.5), (-1, -1.5), (2, 2.5), (-2, 2.5)

Answers

Based on the given set of ordered pairs above, the set of ordered pairs in the form of (x,y) that does not represent a function of x would be option B. Why is this so? if you notice, the number 1 in the x is being repeated so this means this is not a function. Hope this answer helps.

At time t equals or > 0, the acceleration of a particle moving on the x axis is a(t)=t+sint.? ...?

Answers

Below is the solution:

The integral of acceleration yields velocity, which we are trying to find. 
So int(a(t)) = (t^2)/2 - cos(t) + C. 
So we can also say that v(t) = (t^2)/2 - cos(t) + C. 
*The constant, C, is very important in this case. We need to find when v(t) = 0. We can not do that without first knowing C. 
2. Solve for C. 
-2 = v(0). 
-2 = (t^2)/2 - cos(t) + C. 
-2 = -cos(t) + C. 
-2 = -1 + C 
-1 = C. 

Now we have the full velocity equation. 
v(t) = (t^2)/2 - cos(t) - 1. 
4. Solve for t when velocity is 0. 
0 = (t^2)/2 - cos(t) - 1. 
t = 1.478 or -1.478 
*time cannot be negative, so answer is b.1.48

Which of the following expressions describes the solution set m ≥ -3?

All real numbers that are negative three or greater.

All real numbers that are greater than negative three.

All real numbers that are negative three or less.

All real numbers that are less than negative three.

Answers

،، all real numbers that are (-)or greater
m→-3,-2,-1,..

The correct expression of the solution set will be;

''All real numbers that are greater than negative three.''

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The solution set is,

m ≥ - 3

Now,

Here, The solution set is,

m ≥ - 3

Clearly, a number 'm' is greater than or equal to - 3.

Thus, We can formulate;

The correct expression of the solution will be;

''All real numbers that are greater than negative three.''

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Lisa's age is 4 years older than three times Sammy's age. Lisa is 28 years old. Let s represent Sammy's age.

Which equation can be used to solve for Sammy's age?

s + 4 = 28

3s + 4 = 28

4s + 3 = 28

3s = 28

Answers

3s + 4 = 28 Lisa is 4 years older than three times his age. 4 years older would mean +4 , and the 3 times his age is 3s because the s represents sammys age

Sammy's age can be found by using the formula 3s + 4 = 28.

Lisa's age is 4 years more than Sammy's age multiplied by 3.

Assuming Sammy's age is s, Sammy's age multiplied by 3 is:

= 3s

Lisa's age is 4 more than Sammy's age multiplied by 3 which is:

= 4 + 3s

We know that Lisa is 28 years old and Lisa's age is "4 + 3s." Equating those together will give the expression:

4 + 3x = 28

In conclusion, Sammy's age can be found by the formula 4 + 3x = 28.

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