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3 years ago

Find the length of the midsegment.

Mathematics

1 answer:

Gala2k [10]3 years ago

7 0

Answer:

Step-by-step explanation:

The midsegment is one half the length of the third side of the triangle, that is

6x + 3 = $\frac{1}{2}$ (3x + 87)

Multiply both sides by 2 to clear the fraction

12x + 6 = 3x + 87 ( subtract 3x from both sides )

9x + 6 = 87 ( subtract 6 from both sides )

9x = 81 ( divide both sides by 9 )

x = 9

Thus

midsegment = 6x + 3 = 6(9) + 3 = 54 + 3 = 57

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Can anyone teach plsssss........................ Given that PR= 17cm and SR= 6cm.Find the length, in cm of TS.

Lemur [1.5K]

Answer:

9cm

Step-by-step explanation:

Since PQST is a rectangle, ∠QST=∠QSR=∠90º. So triangle QSR is a right triangle.
By the Pythagorean Theorem and that SR=6 and QR=10, we can say that 6^2+b^2=10^2. So, 36+b^2=100. And b^2=64 and b=8. So QS=8.
Now we know that QS=PT=8.
By the Pythagorean Theorem and that PR=17 and PT=8, we can say a^2+8^2=17^2. So, a^2+64=289. And a^2=225 and a=15.
We know that TR=15 and SR=6 and TR-SR=TS, so 15-6=9.

8 0

3 years ago

Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.

MrRa [10]

Answer:

 The numbers are 6, 18, and 30 

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

If 10 is added to the last number to form an arithmetic progression

Then, 3x 9x (10x+10) are the progression

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10

Substituting these values into equation 1

9x-3x = (10x+10)-9x

Solving the equation above,

3x = 10+x

3x-x = 10

2x = 10

x = 10/2

x = 2.

Therefore the numbers are 6, 18, and 30 

7 0

3 years ago

2 × 30 = 2 × (3 × 10)

vampirchik [111]

Answer:They are equivalent, if that's what your trying to find out.

Step-by-step explanation:

5 0

3 years ago

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X + 67 = 70 what does "x" equal? Please explain your answer, thanks!

8_murik_8 [283]

Hey there!

3 + 67 = 70,

so your answer will be:
x = 3

Hope this helps!
Have a great day (:

5 0

3 years ago

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What value of t satisfies the equation t/8-3/4=9/16

Y_Kistochka [10]

The answer to t is t= 21/2

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3 years ago

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