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muminat
3 years ago
6

The lengths of two sides of a triangle are 5 inches and 16 inches find the range of possible lengths for the third side

Mathematics
1 answer:
Gnoma [55]3 years ago
7 0
Ok well you would use pathagorean there so A2+B2=C2
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Lines l and m are parallel
soldi70 [24.7K]

Answer:

  • m∠ABC = 15°

Step-by-step explanation:

<u>Given</u>

  • m∠ABC = x°
  • m∠BCD = 25°
  • m∠CDE = 55°
  • m∠DEF = 3x°

Add two more parallel lines passing through points C and D.

Consider alternate interior angles formed by the four parallel lines.

<u>The angles between the two middle lines are equal to:</u>

  • m∠BCD - m∠ABC  = m∠CDE - m∠DEF

<u>Substitute values and solve for x:</u>

  • 25 - x = 55 - 3x
  • 3x - x = 55 - 25
  • 2x = 30
  • x = 15

m∠ABC = 15°

4 0
3 years ago
A bucket of Unifix cubes has 5 red, 6 brown, 5 blue, 4 yellow, and 5 green. Mrs. Brothers is going to randomly
gogolik [260]

Answer:

the third

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
6 times the number of waiters at a restaurant was 6 less than the number of
morpeh [17]

Answer:

12

Step-by-step explanation:

6x3-6=12

8 0
3 years ago
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The sum of two consecutive integers is 57. If x is the integer what are the two numbers
ra1l [238]
The two numbers are 28 and 29.

5 0
3 years ago
I need help with this pls
antoniya [11.8K]
I'll explain it simply for you

1st question
Of course you know phythagoras theorm
You even wrote it up there
It states that the sum of the square of the two sides of an equilateral triangle is equal to the square of the hypotenuse
{a}^{2}  +  {b}^{2}   =  {c}^{2}
Where C is the hypotenuse
*NOTE* :
HYPOTENUSE is the greatest side in a triangle!!
And that's where your mistake is!
So you should take the greatest side as C
So in Q3. 7, 24 and 26 are the given numbers
You'll make the smaller two numbers a and b and the greatest number C
Using the Formula you'll solve the left side first which is
{a}^{2}  +  {b}^{2}
Then the right side which is
{c}^{2}

And if both are equal then it is a right triangle otherwise it isn't!
Let
a=7
b=24
c=26


a^2 + b^2
7^2 + 24^2
49 + 576 = 625
GREAT, Now the right side

26^2 = 676
Since they aren't equal it isn't a right angled triangle...

Then let
a=7.5
b=10
c=12.5

7.5^2 + 10^2
= 56.25 + 100
= 156.25



12.5^2 = 156.25

They are EQUAL
Therefore it is a right triangle too

Hopefully I helped
7 0
3 years ago
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