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postnew [5]
3 years ago
14

Given that RHMO is a rhombus, find x, given that m ∠ 3 = 8x - 6

Mathematics
1 answer:
alexandr1967 [171]3 years ago
5 0

Answer:x = 12

because  RHMO is a rhombus => MH⊥RO

=> m∠3 = 90°

⇒ 8x - 6 = 90°

⇔ 8x = 96

⇔ x = 96/8 = 12

Step-by-step explanation:

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Find two consecutive integers such that one fifth of the first less one-ninth of the second is 3. Pls answer.​
mart [117]

Answer:

35 and 36

Step-by-step explanation:

To solve this problem, we must interpret it line by line;

  • We are dealing with consecutive integers; these are integers with a difference of 1 between them.

   let the first number = x

               second number  = x + 1

  • one - fifth of first;

             \frac{1}{5}x

  •   one - ninth of the second;

            \frac{1}{9}(x + 1)

for the "less" ;

         \frac{1}{5}x -  \frac{1}{9}(x + 1) = 3

Multiply through by 45

       45(\frac{1}{5}x) - (45) \frac{1}{9}(x + 1) = 3 x 45

           9x - 5(x + 1) = 135

           9x - 5x -5 = 135

             4x = 135 + 5

              4x = 140

                x = 35

Now, x+1  = 35 + 1 = 36

The consecutive integers are 35 and 36

4 0
3 years ago
How many centimeters are in 35 inches? (1 in. = 2.54 cm)
Colt1911 [192]

Answer:

88.90 cm

Step-by-step explanation:

8 0
2 years ago
Expand the brackets 5(2x + 3)
zimovet [89]

Answer:

10x+15

Step-by-step explanation:

5 x 2x=10x

5x3=15

5 0
2 years ago
Read 2 more answers
How does the position of the decimal point in a quotient as you divide by increasing powers of 10
Digiron [165]
The value decimal point is changing going to the right as you divide a number by 10. For example => 2000.3 / 10 notice the decimal point => 200.013, the value of decimal numbers increases as the value of whole number decreases.Let’s divide again => 200.013 / 10 => 20.0013 , now we already have 4 digits in our decimals. So, simply as we divide the given number by 10, the decimal point moves to the left making the value of whole number decreases and making the number of digits of decimal increase.
4 0
3 years ago
An artist used a scale factor of 1 in=8 ft to create a model of a building. if the actual building has a height of 64 feet, how
nalin [4]

Answer:

<em>Okay, so what I think you mean to ask what the scale factor between the model and actual building</em> is, so i crunched the numbers. if 1 in equaled 8 feet and the actual thing was 64 ft, then we can just say that 64 divided by 12 is 5.3, so the model could be

5.3 ft. is the size of the model

BUT

you said how many feet are they apart so in inches its 705, in ft its 58.75

Step-by-step explanation:

a foot is 12 in.

64/12 is 5.3

64 ft is 768 inches, and 5.3 is 63.

768-63 = 705.

there are 705 inches in difference, in feet its 58.75

8 0
2 years ago
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