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3 years ago

Find the measure of the angle..... Can anyone help???

Mathematics

1 answer:

Musya8 [376]3 years ago

6 0

Answer:

Step-by-step explanation:

A full triangle is 180 *always remember

180-153=27

so r is 27

180-77-27=76

or you could do

77+27+x=180

104+x=180

x=180-104

x=76

You might be interested in

Which number sentence is true?

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

-7 is greater than -13

-7 is more closely to 0,which means it is more chance to become positive integer

4 0

4 years ago

Kim wants to buy a car. Help Kim compute the monthly payment on a loan, given the loan amount, the annual percentage rate of int

Assoli18 [71]

Answer:

The complete Python program to calculate the monthly payment on a loan with step by step explanation is given below.

Python Code with Explanation:

# get the loan amount from the user

LoanAmt=eval(input("Please enter the loan amount: "))

# get the annual interest rate from the user in percentage form

InterestRate=eval(input("Please enter the annual interest rate in percentage: "))

# get the number of months from the user

NumberMonths=eval(input("Please enter the number of months: "))

# convert the annual interest rate into monthly interest rate and also into decimal form according to the equation given in the question

MonthlyRate = InterestRate/1200

# implement the given equation to find out the required monthly payment, the operator (**) is used to raise to the power

Payment = (LoanAmt*MonthlyRate (1+MonthlyRate)**NumberMonths)/((1+MonthlyRate)**NumberMonths -1)

# finally, print the monthly payment

print("The monthly payment is: ", Payment)

Output:

Please enter the loan amount: 1500

Please enter the annual interest rate in percentage: 15

Please enter the number of months: 12

The monthly payment is: 135.38746851773584

Bonus:

You can use this command to limit the digits after the decimal point

For example following code will limit to 2 digits after the decimal point.

print(format(Payment, '.2f'))

3 0

3 years ago

A square building with an area of 225 m2 has a garden surrounding it that has an equal width on all sides. The area of the garde

xenn [34]

Answer:

The width of the garden is 1.16 m

Step-by-step explanation:

step 1

<em>Find the area of the garden</em>

To find out the area of the garden multiply by 1/3 the area of the building

$225(\frac{1}{3})=75\ m^2$

step 2

Find the length side of the square building

The area of a square is

$A=b^2$

where

b is the length side of the square

we have

$A=225\ m^2$

$b^2=225\\b=15\ m$

step 3

Find the width of the garden

Let

x ----> the width of the garden

we know that

The area of the building plus the area of the garden is equal to

$(15+2x)^2=225+75$

solve for x

$225+60x+4x^2=225+75\\4x^2+60x-75=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is x=1.16 m

see the attached figure

therefore

The width of the garden is 1.16 m

Find the exact value

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$4x^2+60x-75=0$

$a=4\\b=60\\c=-75$

substitute in the formula

$x=\frac{-60\pm\sqrt{60^{2}-4(4)(-75)}} {2(4)}$

$x=\frac{-60\pm\sqrt{4,800}} {8}$

$x=\frac{-60\pm40\sqrt{3}} {8}$

$x=\frac{-60+40\sqrt{3}} {8}\ m$ ----> exact value

8 0

3 years ago

Whats 1+1<br> window<br> 11<br> 2

Pachacha [2.7K]

Answer:

Step-by-step explanation:

If you have one apple and your friend has one apple, then the total number of apples shared between you and your friend is two.

4 0

3 years ago

Read 2 more answers

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ryzh [129]

Since, the fundraiser only have three prices for books($2, $5 and $10), the number of $5 book that was sold is 12.

<h3>How to form equation and solve ?</h3>

The fundraiser only have 3 prices for books which are $2, $5 and $10.

There were 6 more $5 books sold than $10 books sold.

Let

x = number of $10 book sold

Therefore,

number of $5 books sold = x + 6

There are 8 more $2 book sold than $10 book sold. Therefore,

number of $2 books sold = x + 8

A total of $250 was raised.

Therefore, the total amount sold forms the following equation:

10x + 5(x + 6) + 2(x + 8) = 250

10x + 5x + 30 + 2x + 16 = 250

17x = 250 - 30 - 16

17x = 204

x = 204 / 17

x = 12

learn more on equation here: brainly.com/question/27361014

4 0

2 years ago