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Olin [163]
3 years ago
8

Find length of PR. TR=x+11

Mathematics
2 answers:
kkurt [141]3 years ago
8 0

Step-by-step explanation:

In a square,

we know that when diagonals bisect each other it is divided into two equal parts

so

TR = TP

So

PR = x +11 + x + 11

= 2x + 22

And

Both diagonals are equal so

QS = PR

7x - 3 = 2x + 22

7x - 2x = 22 + 3

5x = 25

x= 25 /5

x = 5

Now

PR = 2 * 5 +22= 10 +22 = 32

ikadub [295]3 years ago
3 0

Answer:

PR = 34

Step-by-step explanation:

The diagonals of a square bisect each other, and are congruent, thus

QS = PR, that is

7x - 8 = x + 11 + x + 11 = 2x + 22 ( subtract 2x from both sides )

5x - 8 = 22 ( add 8 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

Thus

PR = 2x + 22 = 2(6) + 22 = 12 + 22 = 34

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Answer:

\frac{1}{2} (8)(x+4)=3(x+6)\\x=2

Step-by-step explanation:

\frac{1}{2} bh=bh\\\\\frac{1}{2}(8)(x+4)=3(x+6)\\4(x+4)=3x+18\\4x+16=3x+18\\4x=3x+2\\x=2

1. set the equation for the area of each shape equal to each other

2. simplify each side until you get 4x+16=3x+18

3. subtract 16 from both sides which will give you 4x=3x+2

4. subtract 3x from both sides which will give you the value of x. x=2

5. check that x=2 is correct by plugging it into the equations

triangle:

area=\frac{1}{2} (8)(2+4)\\area=4(6)\\area=24

rectangle:

area=3(2+6)\\area=3(8)\\area=24

the areas are the same

4 0
3 years ago
What is the product of using scientific notation to solve the problem of 20.5 * 10 to the 7th power and 0.000036
Zina [86]

Answer:

  7.38×10^3

Step-by-step explanation:

The usual rules of exponents apply.

  (20.5×10^7)(3.6×10^-5) = (2.05)(3.6)(10^(8-5)) = 7.38×10^3

_____

<em>Additional comment</em>

You can have your scientific or graphing calculator or your spreadsheet compute this product for you and display the result in scientific notation. You can enter the numbers in scientific notation or in standard form in any calculator or spreadsheet. (For a spreadsheet, the first number would be entered 20.5e7 or 2.05e8.)

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

Just as the place values increase by factors of 10 going to the left of the decimal point, so they decrease by factors of 10 to the right. The number 3 in 0.000036 is in the 5th place to the right of the decimal point, so has a place value of 10^-5.

3 0
3 years ago
Rebekah uses a balance scale to measure the weight of a rock in science class. She finds that its weight is 380 grams. If the ac
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Answer:

Step-by-step explanation:

4.5 %

7 0
3 years ago
Find the values of x and y write your answers in simplest form.
slega [8]
X= 6
Y= 8.5
I used Tan to find X and Cos to find Y
7 0
3 years ago
7 Max is thinking of a number. His number: is a 6-digit, odd number • has the same number of 1,000s as Is • is greater than half
wel

The two numbers that can possibly be Max's number are 617237 and 627137.

  • We are provided with several characteristics of the numbers about which Max is thinking.
  • The number is a 6-digit number.
  • The number is odd.
  • The numbers have the same digits at 1000 s and 1 s place value.
  • The number is greater than 500,000.
  • The sum of all the digits of the number equals 26.
  • According to the rules, the digits at 1000s and 1s places should be the same as well as odd. They can be 1, 3, 5, 7, or 9.
  • The leftmost digit should be more than 5, so it can be 6, 7, 8, or 9.
  • The remaining digits can be filled in such a way that the total sum is 26.
  • There are a number of possible answers.
  • So, we will take any two such numbers that follow all the rules.

To learn more about place value, visit :

brainly.com/question/27734142

#SPJ9

6 0
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