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3 years ago

Line r and m are parallel. Find the value of x.

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

5 0

Answer:

Answer:

10x-3=7x+45 corresponding angle

10x-7x=45+3

3x=48

x=48/3=16

value of x is 16.

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Rafeal wants to know if there is a single transformation that will move trapezoid JKLM onto trapezoid PQRS Below

aliina [53]

A. A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R.

Step-by-step explanation:

Since both the trapezoids, trapezoid JKLM and PQRS are congruent, we can do any transformation, may be rotation, reflection and translation.

A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R is the true statement others are incorrect statements.

When the Preimage is rotated 90° counterclockwise rotation, then its coordinates (x,y) changed into (-y,x)

8 0

2 years ago

Ed wants to borrow $20,000 from a bank to open a small gym. Three banks charge different interest rates. To help decide the best

Delicious77 [7]

Answer:

First bank = $6792

City bank = $6803

Star bank = $6817

Step-by-step explanation:

The lists of banks and their annual interests rates are attached.

For first bank, since the interest is 7.5%, The total interest = 7.5% of $20000 = 0.075 × $20000 = $1500

For city bank, since the interest is 8.2%, The total interest = 8.2% of $20000 = 0.082 × $20000 = $1640

For Star bank, since the interest is 9%, The total interest = 9% of $20000 = 0.09 × $20000 = $1800

The loan plus interest for the banks annually are:

First bank = $20000 + $1500 = $21500

City bank = $20000 + $1640 = $21640

Star bank = $20000 + $1900 = $21900

The monthly payments for the banks are:

First bank = $21500 / 12 months = $1792

City bank = $21640 / 12 months = $1803

Star bank = $21800 / 12 months = $1817

Since The cost to run the gym each month is $5,000. Ed's total monthly expenses for each loan option = monthly payments + cost for each month. It is calculated as:

First bank = $5000 + $1792 = $6792

City bank = $5000 + $1803 = $6803

Star bank = $5000 + $1817 = $6817

3 0

2 years ago

Find the indicated values where g(t)=t^2-t and f(x)=1+x g(f(0))+f(g(0))

Blababa [14]

Answer:

Step-by-step explanation:

First find f(0) and g(0). These are the values where x=0 in each function.

f(0) = 1+0 = 1

g(0) = 1^2 - 1 = 1-1 = 0

So f(0) = 1 and g(0) = 0.

Now substitute f(0) = 1 into g(t).

g(1) = 1^2 -1 = 1-1 = 0.

So g(f(0)) = 0.

Now substitute g(0) = 0 into f(t).

f(0) = 1 + 0 = 1.

So f(g(0)) = 1.

Add the values 0 and 1 to get 0+1 = 1.

6 0

3 years ago

Read 2 more answers

Madison, Natalie, Isabella and Rebecca go shopping. Madison spent 4/5 of her money, Natalie spends 75% of her money,Isabella spe

BartSMP [9]

Answer:

you need common denominater so 10/10 - 9/10 =1/10 thats how much of her money she used.

Step-by-step explanation:

4 0

3 years ago

An increased the quantities of all the ingredients in a recipe by 60, percent. She used 80 grams left parenthesis, right parenth

iogann1982 [59]

Answer:

The recipe did require 50 grams of cheese.

Step-by-step explanation:

Since, 60 percent extra cheese is used, therefore the given amount of cheese is 160% of recipe requirement. Or in other words, the given amount of cheese is 1.6 times the requirement.

80 grams = (1.6)(Recipe Requirement)

Recipe Requirement = 80/1.6 grams

<u>Recipe Requirement = 50 grams</u>

8 0

3 years ago