MATHEMATICS MIDDLE SCHOOL

RSM HOMEWORK HELP FAST PLEASE!!!!

Answers

Answer 1

Answer:

Answer:

$x=25\degree$

Step-by-step explanation:

From the diagram AE || BC.

AC is a transversal therefore $m\angle ACB=x$ by the alternate interior angle property of parallel lines.

By the remote exterior angle property, $x+x=50\degree$

We simplify and solve for x to get:

$2x=50\degree$

$x=(50)/(2)$

$x=25\degree$

Answer 2

Answer:

Answer:

x=25

Step-by-step explanation:

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Hye Sun has a modern coffee table whose top is a triangle with the following side lengths: 8 feet, 3 feet, and 5 feet. Is Hye Sun's coffee table top a right triangle?

Answers

you can check this by using the Pythagorean theorem

8²-5² = 39

3² does not = 39 therefore this is not a right triangle

What ratio is not equivalent to the othe three 2/3, 12/15, 18/27 .6/9

Answers

12/15 simplifies to 4/5, whereas all the others simplify to 2/3. Therefore, 12/15 is not equivalent to the rest.

a class of 25 students shares a class set of 100 markers.On a day there are 5 students absent,which statement is true:for every 5 students,thee is 1 marker,For every 4 students,there is 1 marker,For each student,there are 4 marker,and For each student,there are 5 markers

Answers

The number of markers for every student is five then the correct option is A.

What is division?

Division means the separation of something into different parts, sharing of something among different people, places, etc.

A class of 25 students shares a class set of 100 markers. On a day there are 5 students absent. Then we have

The number of the marker for one student will be

$\rightarrow (100)/(20) \n\n\rightarrow 5$

Hence, one student has five markers.

More about the division link is given below.

brainly.com/question/369266

For each student, there are 5 markers.
There would be 20 students, and 100 markers. 20/100. You would reduce that fraction to 1/5 So every student would have 5 markers.

To repair body damage on a car auto body charges $125 plus $18 per hour car care charges $200 plus $12 per hour determine the number of hours for which the two body shops will cost the same

Answers

First of all, the equation is 125+18x=200+12x.
First subtract 12x from both sides of the equation. Your equation will now look like this:
125+30x=200
Subtract 125 from each side of the equation.
30x=75
Divide both sides by 30.
x= 2.5
Therefore, the answer is hours.
Hope this helps!

Final answer:

This is a mathematics problem where a linear equation is used to find the number of hours when two auto body repair shops' services will cost the same. By equating and simplifying the cost equations for both companies, we find that the two shops will charge the same for 12.5 hours of work.

Explanation:

The question involves setting up and solving a linear equation. The equation signifies when the cost of service from two different auto body shops will be the same.

For the Auto Body shop, the equation is: Cost = $125 + $18×(number of hours). For the Car Care shop, the equation is: Cost = $200 + $12×(number of hours).

To find the number of hours where both costs are same, we set both equations equal to each other: $125 + $18x = $200 + $12x. Simplifying this, we subtract $125 from both sides getting $75 + $18x = $12x. Subtracting $12x from both sides gives $75= $6x. Dividing by 6, we get $x = 12.5 hours.

So, the two body shops will cost the same if the work lasts for 12.5 hours.

Learn more about Linear Equations here:

brainly.com/question/32634451

#SPJ2

a seamstress has a piece of cloth that is 3 yards long she cuts it into shorter lengths of 16 inches each. how many of the shorter pieces can she cut?

Answers

In this question the vital information that a person needs to have is the conversion of yard to inches. Once that is done, the question becomes easy as most of the required information's are already given in the question.
1 yard = 36 inches
Then
3 yards = 36 * 3 inches
   = 108 inches.
Now let us get down to finding the answer to the question.
Length of the cloth that needs to be cut into shorter lengths = 3 yards
      = 108 inches
Length of the shorter pieces = 16 inches
Then
umber of shorter pieces that can be cut = 108/16
   = 6.75
So from the above deduction we can easily conclude that 6 shorter pieces of 16 inches can be cut and still there will be a little excess piece of cloth remaining.

She can cut 6.75 shorter pieces of cloth

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are $\large{\boxed{:}}}$ or $\large{\boxed{\slash}}$

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

$\large{\boxed{\bold{divident:divisor=quotient+remainder}}$

example:

7: 3 = 2 + 1

7 = dividend
3 = divisor
2 = quotient
1 = remainder

Division operation statement:

"7 divided by 3 equals 2 remainder 1"

The form of division can also be expressed in terms of fractions

In the example above, the form of mixed fractions is

$\displaystyle (7)/(3) =2(1)/(3)$

Mixed fractions consist of whole number and proper fractions

a seamstress cuts a piece of cloth that is 3 yards long into shorter lengths of 16 inches each.

we translate this sentence into Arithmetic operations

$\displaystyle 3~yards/16~inches$

Because One yard is equal to 36 inches,

3 yards = $\displaystyle 3*36$

3 yards = $\large{\boxed{\bold{108~inches}}}$

then equation becomes :

$\displaystyle 108~inches/16~inches$

$\large{\boxed{\bold{6.75`pieces}}$

or as mixed fraction :

$\displaystyle 6(75)/(100)$

$\boxed{\bold{ 6(3)/(4)}}$

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Keywords: division, cloth, yards, inches

Find the radius of the circle whose equation is x² - 10x + y² - 10y = -1.1
7
49

Answers

Answer:

radius = 7 units

Step-by-step explanation:

We are given the equation;

x² - 10x + y² - 10y = -1

We are required to determine the radius of the circle;

We are going to use completing square method to solve for the radius and the center of the circle.

First we make sure the coefficient of x² and y² is 1

x² - 10x + y² - 10y = -1

Then we add the square of half the coefficient of x and y on both sides of the equation;

That is;

$x^2- 10x+((-10)/(2))^2 + y^2+- 10y +( (-10)/(2))^2= -1 +((-10)/(2))^2+ ((-10)/(2))^2$

Simplifying the equation, we get;

$(x-(10)/(2))^2 + (y-(10)/(2))^2= -1+25+25$

Thus;

$(x-(10)/(2))^2 + (y-(10)/(2))^2= 49$

That is;

$(x-5)^2 + (x-5)^2 = 49$

The equation of a circle is written in the form of;

$(x-a)^2+(x-b)^2=r^2$

Then (a, b) is the center and r is the radius.

Therefore;

In our case; $(x-5)^2+(y-5)^2=49$

Then, center = ( 5, 5)

radius = √49

= 7 units

Other Questions

Mr Diaz class is taking a field trip to the science museum there are 23 students on the class and a student admission ticket is $8 how much will the tickets cost?

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There are approximately 7.5x10^18 grains of sand on earth.There are approximately 7x10 ^27 atoms in an average human body.Are there more grains of sand on earth or atoms in an average human body ?How do you know?

The expression .25(2d+1) represents the fines per day, d, for overdue books. Which expression is equivalent to .25(2d+1)? Name the property that describes the equivalent expression.A. .252d+1 B. .50d+.25 C. 2d+.25 D. .50d+1 Thanks so much if your respond! I mostly need help on the name the property.