Since the perimeter must not exceed 291.
Let the third side be x.
x + 87 + 64 < 291
x + 151 < 291.
x < 291 -151.
x < 140. (First)
But for a triangle there is what is called the Triangle Inequality Theorem. That given the two sides of a tringle, the third side of the triangle must greater than the positive difference between the two sides and less than the sum of the two sides.
So for this case. 87 and 64.
x > ( 87 - 64). x > 23.
x < (87 + 64) x < 151. Combine both inequalities.
23 < x < 151 (second).
Combining First and second. Both must be satisfied.
So we have a more accurate answer as:
23 < x < 140. x is greater than 23 and x is less than 140.
x could be 24, 25, 26, 27, ......, 139. cm.
I hope this helps.
The circumference of the circle is 75.36 cm.
Diameter of the circle is 24 cm,
- Step 2: Formula used and calculation:
Circumference of the circle is 
.
So, Radius, r = 24/2 = 12 cm.
Now, Putting the value in the above formula, we get
2 × 3.14 ×12 = 3.14 × 24 = 75.36 cm.
Hence, the circumference of the circle is 75.36 cm.
Learn more about circumference of the circle, refer:
brainly.com/question/23964435
Answer:
3/8
Step-by-step explanation:
3/(3 + 5) = 3/8
53=20+x
Subtract 20 from 20 and 53
33=x
Hope this helps!
P.S.
Nice tab theme :P
Let's solve your equation step-by-step.
4x+2x−5=7x−1
Step 1: Simplify both sides of the equation.
4x+2x−5=7x−1
4x+2x+−5=7x+−1
(4x+2x)+(−5)=7x−1(Combine Like Terms)
6x+−5=7x−1
6x−5=7x−1
Step 2: Subtract 7x from both sides.
6x−5−7x=7x−1−7x
−x−5=−1
Step 3: Add 5 to both sides.
−x−5+5=−1+5
−x=4
Step 4: Divide both sides by -1.
−x
−1
=
4
−1
x=−4
Answer:
x=−4
i hope this helps you
