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
Alexus [3.1K]
3 years ago
9

Find the length of the longest side of the triangle if the perimeter is 23.

Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Answer:

12 units

Step-by-step explanation:

We are told that the perimeter of this triangle is 23 units. Since the perimeter of a triangle is the sum of its three sides, we right this sum using for each side the expression that they show in the picture.

Perimeter =(3x-5)+(2x+1)+4x=23\\3x-5+2x+1+4x=23\\9x-4=23\\9x=23+4\\9x=27\\x=\frac{27}{9} =3

Therefore, the value of the unknown "x" which appears in the expressions for all of the three sides, is 3 units.

Then, the side: 3x-5 = 3(3)-5 = 9-5 = 4 units

the side 2x+1 = 2(3)+1 = 6+1 = 7 units

and the side 4x = 4(3) = 12 units (therefore this is the longest side).

You might be interested in
A right triangular prism has a height of 26 cm and base edges of 10 cm, 24 cm, and 26 cm. What is the lateral area of the prism?
horrorfan [7]
The lateral area is 1560 cm².

The lateral area is the area of the lateral faces (the faces that are not bases).  The dimensions of these are:
24 by 26
10 by 26
26 by 26

These are all rectangles.  The area of each rectangle is given by length * width:
24*26 = 624
10*26 = 260
26*26 =676

624+260+676=1560
3 0
3 years ago
3x + (2 + x) + 5 times 2
Gennadij [26K]

123456789101112131415

4 0
2 years ago
Find the explicit formula for<br> arithmetic<br> sequences.<br> 38, 238, 438, 638, ..
Eddi Din [679]

Answer:

200n - 162.

Step-by-step explanation:

first trem a1 = 38

common difference d = 200

nth term = a1 + (n-1(d

= 38 + 200(n-1)

= 200n - 162

7 0
3 years ago
Which box is greater a 1.5 pound box or a 650 gram box
maksim [4K]
The greater box is this 1.5 pound Because pound is greater than egram. Hope it's help you.
6 0
3 years ago
Read 2 more answers
What is 1/3 written as a decimal?
Aleks04 [339]

Answer:

0.3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Wich fraction names the shaded part of the figure below​
    7·1 answer
  • What is the geometric mean of 3 and 15
    10·1 answer
  • Michael goes to the fair with 3 friends. They each ride 4 rides at $4.25 per ride. Two of them buy cotton candy for $3.50 each.
    11·1 answer
  • The function h(t) = -4.9t2 + h0 gives the height (h), in meters, of an object t seconds after it falls from an initial height (h
    8·2 answers
  • How do I find the reciprocal to a fraction
    13·1 answer
  • In △ABC, AD is the angle bisector of ∠A and BE is the angle bisector of ∠B. If AD intersects BE at point O, find m∠AOB given the
    15·1 answer
  • Write an equation in slope-intercept form for the line with slope -3/4 and y intercept -3
    6·1 answer
  • Two integers have a product of,n, p, -24. what is the largest possible sum of n and p
    5·1 answer
  • TIMED QUIZ HALPThe table represents a linear function.
    7·2 answers
  • How many feet are in 2,241 inches? (1 foot = 12 inches)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!