Mathematics Middle School
Answers
Answer 1
Answer:
18.55, lines m and n are parallel and t is the transversal. If ∠1 = 130o, find the measures of the other angles and give reasons.
Stepbystep explanation:
Related Questions
In a school 40% are boys and 900 are girls. find the total number of students of the school and the number of boys
Answers
Answer:
40% are boys
900 are girls.
To get the total number of boys, that will be number of boys, divided by hundred multiply by total number of girls
i.e 40÷100 * 900= 360, we have 360 boys, to know the number of student add 900 to the number of boys which gives you 1,260.
the total number of students in the school is 1,260
1. What is the next number in the pattern? 1,2,4,7, 11, ...
A 12
B 13
C. 15
D. 16
Answers
The answer would be 16, because each number increases by +1 more than the last.
1+1=2+2=4+3=7+4=11...
Answer:
d
Stepbystep explanation:
1+1=2
2+2=4
4+3=7
7+4=11
11+5=16
you just add the number by 120 and you'll hey the pattern
Micheal took his brother to the movies. Micheal paid regular price, but it cost $2 less for his brother at the child price. It cost Micheal $12 total for the movie. How much did it cost for his brother?
Answers
It cost $5 for his brother's ticket.
Stepbystep explanation:
Let,
Micheal's ticket price= x
His brother ticket price = y
According to given statement;
x+y=12 Eqn 1
y = x2 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 2;
Putting x=7 in Eqn 2
It cost $5 for his brother's ticket.
Keywords: linear equation, substitution method
Learn more about linear equations at:
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A rational function is a function whose equation contains a rational expression.
A. True
B. False
Answers
Answer:
True
Stepbystep explanation:
Answer:
true
Stepbystep explanation:
What is the percent of decrease from 320 to 32?
A.)10%
B.)90%
c.)100%
D.)288%
Answers
the answer will become 10%
Given: g(x) = 2x2 + 3x + 10 k(x) = 2x+16
Solve the equation g(x) = 2x(x) algebraically for x, to the nearest tenth. Explain why you
shose the method you used to solve this quadratic equation.
Answers
Answer:
x = 3.576 and x =  3.076
Stepbystep explanation:
Two functions are given to be, g(x) = 2x² + 3x + 10 and k(x) = 2x + 16.
Now, we have to solve the equation g(x) = 2k(x)
⇒ 2x² + 3x + 10 = 4x + 32
⇒2x²  x  22 = 0
The expression in the left hand side can not be factorized and therefore we have to use Sridhar Acharya formula which gives the solutions of the equation in the form ax² + bx + c = 0 are given by
and
Therefore, the solutions of the given equation are
and (Answer)
Which two points on the number line represent numbers that can be combined to make zero? C
Answers
Answer:
It’s a
Stepbystep explanation:
Answer:
The are infinite
Stepbystep explanation:
some are 1,1
2,2
3,3
10000,10000
Add: 8x8 + (378 + 3)
Enter the correct answer
DOD
Clear
DOO
Answers
Answer:
311
Stepbystep explanation:
Using PEMDAS:
first add (378 + 3) > 375
then multiply 8 and 8 > 64
then add 64 and 375
this equals 311
Hope this helped!!
Simplify
(6 + 3i)(6 − 3i)
Answers
Answer:
45
Stepbystep explanation:
(6 + 3i)(6 − 3i) =6 (6 − 3i)+ 3i(6 − 3i)
= 36 18i +18i9
if
36 18i +18i9 = 369(1)
=36+9
=45
=369i^2
=6^2  (3i)^2
Answer:
Stepbystep explanation:
Extended Information on the Complex Number System
I am joyous to assist you anytime.
Radians. Covert this radian measure to its equivalent degree measure 135° 180° 270° 360°
Answers
The radian measures of the given degree measures are 3π / 4 Rad, π Rad, 3π / 2 Rad and 2π
What is radian measures?
One radian is the measure of a central angle subtended by an arc that is equal in length to the radius of the circle. When no symbol is used, radians are assumed. When degrees are the unit of angular measure, the symbol "°" is written. Note that the radian is a derived unit in the International System of Units (SI).
Given are some degree measurements, 135° 180° 270° 360°, we need to convert them into radians.
Since, we know that,
1 Rad = 1 Deg × π / 180
Therefore,
1) 135° = 135 × π / 180
= 3π / 4 Rad
2) 180° = 180 × π / 180
= π Rad
3) 270° = 270 × π / 180
= 3π / 2 Rad
4) 360° = 360 × π / 180
= 2π
Hence, the radian measures are 3π / 4 Rad, π Rad, 3π / 2 Rad and 2π
Learn more about radians, click;
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Because of the answers that you gave I'm going to assume the radians were 3pi/4. That would be A, 135 degrees.
If this is the wrong amount of radians please let me know.
Tom bought his fiancée Marie a 3800 diamond engagement ring Marie discovers that the value of the ring appreciates 4% each year what is the value of the ring after 4 years
Answers
Value of ring after four years with appreciation of 4 % each year is 4445.46
Solution:
Given that
Tom bought his fiancée Marie a 3800 diamond engagement ring
Marie discovers that the value of the ring appreciates 4% each year
Need to determine value of ring after four years
Initial value of the ring = 3800
Appreciation of 4% in value means 4% increase
After 1 years , value increases by 4% which means
Value after 1 year = Initial value of the ring + 4% of Initial value of the ring
After 2 years, value increases by 4% of Value after 1 year which means
Value after 2 years = Value after 1 year + 4% of Value after 1 year
After 3 years, value increases by 4% of Value after 2 years which means
Value after 3 years = Value after 2 years + 4% of Value after 2 years
After 4 years , value increases by 4% of Value after 1 year which means
Value after 4 years = Value after 3 years + 4% of Value after 3 years
Value of ring after four years with appreciation of 4 % each year is 4445.46
A triangle has two angles measuring 69 and 77. Determine the measure of the third angle b
Answers
Answer:
Stepbystep explanation:
Given measures of 2 angles of a triangle :
m∠A = 69°
m∠C = 79°
Find m∠B.
We know that sum of angles of a triangle =180°
So, we have
Substituting the vales of m∠A = 69° and m∠C = 79°
Adding like terms.
Subtracting both sides by 146°.
∴ (Answer)
Multiply and simplify the product (6 + 3i)(6 − 3i)
Answers
Answer:
Stepbystep explanation:
Extended Information on the Complex Number System
I am joyous to assist you anytime.
M=4, passes through the point (5,3)
Answers
Answer:
y+3=4(x5)
Stepbystep explanation:
m=4
y(3)=4(x5)
y+3=4(x5)
25.55 Which is a step in the process of calculating successive discounts of 8% and 10% on a $50 item?
a. take 2% of $50
b. take 8% of $46
take 10% of $46
d. take 18% of $50
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer: B
Stepbystep explanation:
b) 8%= 50 x 0.08 = 4
10%= 50 x 0.1 = 5
5+4=9
509 = $41
A theater is selling tickets for a performance. Mr. Smith purchased 8 senior tickets and 5 child tickets for $136 for his friends and family. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96. What is the price of a senior ticket?
Answers
Answer:
The price of a senior ticket is $12.
Stepbystep explanation:
Given:
Mr. Smith purchased 8 senior tickets and 5 child tickets for $136. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96.
Now, to get what is the price of a senior ticket.
Let the senior ticket be and the child ticket be :
So, according to question
.........(1)
...........(2)
Now, we have system of equations:
Multiplying the equation (2) by 2 we get:
.......(3)
Now, adding the equation (3) and (1) the variables and the numbers:
Dividing both sides by 7 we get:
Putting the value of y in equation (2) we get:
On solving the equation we get:
.
Therefore, the price of a senior ticket is $12.
Simplify.
1)22 +25  12
6  9 + 18
Answers
Answer: 12
Stepbystep explanation:
Solve 2cos^2x+sinx1=0, if 0<=x<=2pi
Answers
Answer:
x = π/2, 7π/6, 11π/6
Stepbystep explanation:
2 cos² x + sin x − 1 = 0
Use Pythagorean identity:
2 (1 − sin² x) + sin x − 1 = 0
2 − 2 sin² x + sin x − 1 = 0
2 sin² x + sin x + 1 = 0
2 sin² x − sin x − 1 = 0
Factor:
(sin x − 1) (2 sin x + 1) = 0
Solve:
sin x = 1 or 1/2
x = π/2, 7π/6, 11π/6
4. What is the largest number of identical cubes whose volumes are whole numbers (1,2,3,...) that would fit in a cube whose volume is 1080 cm3? Show all your work.
Answers
Answer:
The largest number of identical cubes whose volumes are whole numbers that would fit in a cube of volume 1080 is 10.
Stepbystep explanation:
Given that volume of larger cube is 1080
To find number of smaller cube with volume as whole numbers can fit the larger cube:
Imagine Rubik's cube of 3x3 as larger volume and one piece of Rubik's cube is smaller cube. On one edge, three smaller cube with volume
In the same way,
Assuming one edge has 'x' number of cube with volume as whole numbers
Since, It is cube. Number of cube in other edges will be 'x' too
For smaller cube,
Take one side of smaller cube as x
Therefore, One side of larger cube will be nx
For cube, length = height = breath =nx
The volume of larger cube :
nx=10.2598cm
we need to find the "largest" number of cube( i.e n )
Therefore, Side x will be smallest and n will be largest.
For smallest value of x,
It is also said that " volumes are whole numbers "
smallest whole number is 1
Thus,
nx=10.2598cm
n=10.2598
n is also whole number so that n=10
The largest number of identical cubes whose volumes are whole numbers that would fit in a cube of volume 1080 is 10.
Divide the following polynomials
(2x2+x+3)/ (x2)
Answers
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of
.
2
x

3
2
x
2

3
x
+
5
Divide the highest order term in the dividend
2
x
2
by the highest order term in divisor
2
x
.
x
2
x

3
2
x
2

3
x
+
5
Multiply the new quotient term by the divisor.
x
2
x

3
2
x
2

3
x
+
5
+
2
x
2

3
x
The expression needs to be subtracted from the dividend, so change all the signs in
2
x
2
−
3
x
x
2
x

3
2
x
2

3
x
+
5

2
x
2
+
3
x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x
2
x

3
2
x
2

3
x
+
5

2
x
2
+
3
x
Pull the next term from the original dividend down into the current dividend.
x
2
x

3
2
x
2

3
x
+
5

2
x
2
+
3
x
+
5
The final answer is the quotient plus the remainder over the divisor.
x
+
5
2
x
−
3
FAQs
What is the measure of angle 8 if the lines are parallel? ›
Answer: Hence the angle 8 is 135°. A figure consisting of two parallel lines and a transversal. The measure of angle 8.
What is the measure of the angle 1 when lines m and n are parallel? ›⇒∠1=144∘
What is the angle if two lines are parallel? ›If Any Pair Of ...  Example: 

Alternate Exterior Angles are equal  b = g 
or  
Consecutive Interior Angles add up to 180°  d + f = 180° 
... then the lines are Parallel 
Answer: ∠8 is congruent to ∠6 because they are vertical angles, or opposite angles.
What is the angle measure if the number of sides is 8? ›An octagon contains six triangles, or 1080 degrees. This means with 8 angles, each angle is 135 degrees.
What is the measure of ∠ 1? ›The diagram shows that m∠1 = 90 . ∠1 and ∠3 are vertical angles.
What type of angle is ∠ 1? ›Angles between 0 and 90 degrees (0°< θ <90°) are called acute angles. Angles between 90 and 180 degrees (90°< θ <180°) are known as obtuse angles.
Are ∠ 1 and ∠ 8 alternate exterior angles? ›In our illustration above, ∠ 1 \angle 1 ∠1 and ∠ 8 \angle 8 ∠8 are a pair of alternate exterior angles. Why? Because both angles are located outside lines s and h, are not adjacent to each other, and are on opposite sides of the transversal.
What is the equation for a parallel line? ›Answer: Lines are parallel if they have the same slope. The given line is in the form y=mx+b, where m is the slope and b is the yintercept.
What is the rule for parallel lines? ›What is the Rule for Parallel Lines? The rule for parallel lines is that the lines should not meet each other. In other words, if two straight lines in the same plane are the same distance apart and they never meet each other, they are called parallel lines.
Are congruent angles 180 or 90? ›
Right angles are always congruent as their measurement is the same. They always measure 90°.
Are angles 1 and 8 congruent? ›Angles that are on the opposite sides of the transversal are called alternate angles e.g. 1 + 8. All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent.
What are the measures of angles 1 and 2? ›We have to find the measure of angle 1 and angle 2. By using the geometric property, The measure of the angle formed by 2 chords that intersect inside the circle is half the sum of the chord's intercepted arcs. Therefore, m∠1 = 50° and m∠2 = 130°.
What has 8 angles and 8 sides? ›An octagon is a 2D shape that has 8 sides, 8 angles and 8 vertices. Octagons can be regular or irregular.
What does 180 N 2 mean? ›If we are given a convex polygon with n sides and S is the sum of the measures of the interior angles then S = 180(n  2). Example. Find the sum of the measures of the interior angles in an octagon. The octagon has 8 sides and we plug this value into our formula: S = 180(8  2) = 1080°
What is angle calculator? ›Angle Calculator is a free online tool that displays the central angle for the given radius and arc length.
What is the formula for line angle? ›The skeletal formula, or lineangle formula or shorthand formula, of an organic compound is a type of molecular structural formula that serves as a shorthand representation of a molecule's bonding and some details of its molecular geometry.
What is the angle sum formula? ›The sum of angles formula is given as ( n − 2) × 180°. Here n denotes the number of sides of a polygon.
What are the 3 ways to measure angles? ›There are three units of measure for angles: revolutions, degrees, and radians. In trigonometry, radians are used most often, but it is important to be able to convert between any of the three units.
How do you measure 1 without a ruler? ›One inch (2.5 cm) is roughly the measurement from the top knuckle on your thumb to your thumb tip.
How long is 1 measure? ›
In this piece, each measure contains 3 beats : it can be 3 quarter notes, or 6 eighth notes, or any combination leading to 3 beats.
How many degrees is angle 1? ›A measure of one degree ( 1° ) is equivalent to a rotation of 1360 of a complete revolution. To measure angles, it is convenient to mark degrees on the circumference of a circle . Thus, a complete revolution is 360° , half a revolution is 180° , a quarter of a revolution is 90° and so forth.
What are angles 1 and 7? ›Angles 1 and 7 are alternate exterior angles of a transversal cutting two parallel lines.
What is the alternate interior angle with ∠ 8? ›The Alternate Interior Angles Theorem states that if k and l are parallel , then the pairs of alternate interior angles are congruent . That is, ∠2≅∠8 and ∠3≅∠5 .
What shape has an exterior angle of 8? ›A regular octagon shape has eight equal sides and eight equal angles. All the sides are of equal length, and all the angles are of equal measure.
What is the exterior angle with 8 sides? ›In simple words, the octagon is an 8sided polygon, also called 8gon, in a twodimensional plane. A regular octagon will have all its sides equal in length. Each interior angle of a regular octagon is equal to 135°. Therefore, the measure of exterior angle becomes 180° – 135° = 45°.
What are the 4 rules of parallel lines? ›Properties of Parallel Lines
Corresponding angles are equal. Vertical angles/ Vertically opposite angles are equal. Alternate interior angles are equal. Alternate exterior angles are equal.
If the lines are parallel, then the pair of equations has no solution.
What is example of parallel lines? ›In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical. We can see parallel lines examples in our daily life like a zebra crossing, the lines of notebooks, and on railway tracks around us.
Are parallel lines always 180? ›The sum of the angles formed on the same side of the transversal which are inside the two parallel lines is always equal to 180°. In the case of non – parallel lines, alternate interior angles don't have any specific properties.
What angle is equal to 8 times its compliments determine its measure? ›
Hence, the angle which is equal to 8 times its complement is 80∘.
What you would use for investigating the angle properties of parallel lines in a Grade 8 class? ›Parallel lines intersected by a transversal
Use a protractor to measure the sizes of all the angles in each figure.
Parallel lines are the lines that never intersect each other. Thus, two parallel lines always maintain a constant distance between them. Perpendicular lines are the two lines that intersect each other at a right angle.
What is the measure of angle 8 quizizz? ›Angle 8 = 130 degrees because they are congruent by alternate exterior angles.
What is a 8 degree angle called? ›Angles between 0 and 90 degrees (0°< θ <90°) are called acute angles. • Angles between 90 and 180 degrees (90°< θ <180°) are known as obtuse angles.
What is 1 by 8 of its complement? ›10° is the angle which is oneeighth of its complement.
What are the 4 types of angles in parallel lines? ›Alternate angles, coInterior angles, and corresponding angles. Sometimes called 'Z angles'. Sometimes called 'C angles'.
What are examples of perpendicular and parallel? ›Perpendicular lines  Parallel Lines 

The symbol used to represent a perpendicular line is “ ”.  The symbol used to represent a parallel line is “ ”. 
Example: The corner of postcard The corner of the ruler.  Example:Railway tracks Edges of ruler. 
Parallel lines are the lines that do not intersect or meet each other at any point in a plane. They are always parallel and are at equidistant from each other. Parallel lines are nonintersecting lines. We can also say Parallel lines meet at infinity.
What are parallel lines for Grade 6? ›In geometry, parallel lines are the lines which maintain the same distance apart from each other and never intersect at any point.