1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrews [41]
3 years ago
12

Find the length of the midsegment.

Mathematics
1 answer:
Gala2k [10]3 years ago
7 0

Answer:

57

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

You might be interested in
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:

  1. Since PQST is a rectangle, ∠QST=∠QSR=∠90º. So triangle QSR is a right triangle.
  2. 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.
  3. Now we know that QS=PT=8.
  4. 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.
  5. 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:

<em> The numbers are 6, 18, and 30 </em>

Step-by-step explanation:

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

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

<em>If 10 is added to the last number to form an arithmetic progression</em>

<em>Then, 3x 9x (10x+10) are the progression</em>

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

<em>Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10</em>

<em>Substituting these values into equation 1</em>

<em>9x-3x = (10x+10)-9x</em>

<em>Solving the equation above,</em>

<em>3x = 10+x</em>

<em>3x-x = 10</em>

<em>2x = 10</em>

<em>x = 10/2</em>

<em>x = 2.</em>

<em>Therefore the numbers are 6, 18, and 30 </em>

<em />

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
Read 2 more answers
X + 67 = 70 <br><br> what does "x" equal?<br><br> 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
Read 2 more answers
What value of t satisfies the equation t/8-3/4=9/16
Y_Kistochka [10]
The answer to t is t= 21/2
5 0
3 years ago
Read 2 more answers
Other questions:
  • In the flexed arm​ condition, what is the probability that a consumer has a choice score of
    8·1 answer
  • The length of a shadow of the building is 36m. The length of the pole, which is perpendicular to the ground, is 1.9m. The length
    5·1 answer
  • Problem 7-12 don't understand it so can I have answer please.
    5·1 answer
  • Solve the equation below for x.<br><br> cx-4=7<br><br> PLZ ANSWER SOON
    9·2 answers
  • Let X be the mean of a random sample of size n = 64 from the uniform distribution on the interval (0, 3), i.e. f(x) = ( 1 3 , 0
    14·1 answer
  • A cup of water is placed in a freezer. The temperature of the water drops 35 degrees Celsius to -17 degrees Celsius. Enter the t
    12·2 answers
  • Use the compass and ruler to construct the bisector of the angle given below.
    15·1 answer
  • How much simple interest would be earned on a certificate of deposit worth
    15·1 answer
  • 10. Plane A is flying at an altitude of 5000 feet. It starts descending (going down) at a rate of 100 feet per minute. Plane B i
    14·1 answer
  • Frankie’s car broke down. The repair costs are $400. Because he does not have any money saved, he will have to get a "payday loa
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!