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
Ray Of Light [21]
3 years ago
15

One side of triangle is 4 4 times the shortest side. The third side is 23 23 feet more than the shortest side. The perimeter is

77 77 . Find all three sides.
Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer:

9, 32 and 36

Step-by-step explanation:

The perimeter of a triangle is the sum of all the sides.  Since you know the perimeter and the expressions for each of the sides, you can set up an equation to solve for the variable and find the values of the other sides:

one side: '4 times the shortest side' = 4s

shortest side: 's'

third side: '23 more than the shortest side' = s + 23

perimeter  = 77

Equation:  4s + s + (s + 23) = 77

Combine like terms:  6s + 23 = 77

Subtract 23 from both sides:  6s + 23 - 23 = 77 - 23 or 6s = 54

Divide by 6:  6s/6 = 54/6 or s = 9

one side: 4s = 4(9) = 36

shortest side: s = 9

third side: s + 23 = 9 + 23 = 32

You might be interested in
7/12 + 11/12 plssssssssssssssssssssssssssssssssssssssss
krek1111 [17]

Answer:

3/2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
50 points please help
Ratling [72]

Answer:

A traditional economy is a system that relies on customs, history, and time-honored beliefs. Tradition guides economic decisions such as production and distribution. Societies with traditional economies depend on agriculture, fishing, hunting, gathering, or some combination of them. They use barter instead of money.

3 0
3 years ago
Read 2 more answers
Solve the following and show all work: √8x+1=x+2
BlackZzzverrR [31]

Answer:

x= 3, 1

Step-by-step explanation:

7 0
3 years ago
2x squared + 9x=-5 i need to solve for x
In-s [12.5K]
2x^2+ 9x=-5 \\ \\2x^2 + 9x+5 =0 \\\\a=2, \ \ b=9 , \ \ c=5 \\\\\Delta =b^2-4ac = 9^2 -4\cdot 2\cdot 5 =  81-40=41 \\ \\x_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{-9-\sqrt{41}}{2\cdot 2 }=\frac{-9-\sqrt{41}}{ 4 }\\\\ x_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{-9+\sqrt{41}}{2\cdot 2 }=\frac{-9+\sqrt{41}}{4 }
3 0
3 years ago
Find the measure of each angle indicated.<br> A) 95°<br> C) 26°<br> B) 92°<br> D) 20°
riadik2000 [5.3K]

Answer:

D) 20°

Step-by-step explanation:

Using the triangle sum theorem, you know that every triangle's interior angles add up to 180°. Therefore the bottom triangle's missing angle can be found by giving it the variable x.

57° + 30° + x = 180°

Simplify: 87° + x =180°

x=93°

By the vertical angles theorem, the vertical angle directly across this angle is congruent to this one. Meaning that the top triangle's angle are 67°, 93°, and unknown, which we can assign y. We can use the same method from above here.

67° + 93° + y = 180°

Simplify: 160° + y = 180°

y=20°

6 0
3 years ago
Read 2 more answers
Other questions:
  • Eric wants to estimate the percentage of elementary school children who have a social media account. He surveys 450 elementary s
    9·1 answer
  • Which is the absolute value function corresponding to the graph with these characteristics?
    8·2 answers
  • What is a decimal equivalent to 17
    5·1 answer
  • At 2 PM McDonald’s sold 12 big bags and two sodas for a total of 32 McDonald’s took and 16 at 3 PM I selling four big Macs and t
    5·1 answer
  • Help your girl out out!
    15·2 answers
  • Select the correct answer pls!!
    12·1 answer
  • Find the sum of (x^2+6x-5)+(2x^2+15)
    9·1 answer
  • 278 times 35<br> plz help
    9·2 answers
  • Choose all the numbers that are common multiples of 3 and 12.
    9·1 answer
  • A camera has a listed price of $558.99 before tax. If the sales tax rate is 9.25%, find the total cost of the camera with sales
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!