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
Bess [88]
3 years ago
11

the first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the

perimeter is 15 in. How long is the third side?
Mathematics
2 answers:
Eva8 [605]3 years ago
5 0

Answer:

The length of side 3 is 5.67 inches.

Step-by-step explanation:

A triangle has three sides. The x represents the length of side 2.

  • Side 1= x-4
  • Side 2= x
  • Side 3= x-4+3 = x-1

The total perimeter (P) of the triangle is 15.

P=S1+S2+S3

15=x-4+x+x-1

15=3x-5

15+5=3x

20=3x

20/3=x

x=6.67 (Length of side 2)

S3= x-1

S3=6.67-1

S3=5.67 inches

Check:

S1= x-4 = 6.67-4 = 2.67

S2= x=6.67

S3=x-4+3=x-1=5.67

P=S1+S2+S3

P=2.67+6.67+5.67

P=15

Shtirlitz [24]3 years ago
3 0
Start by representing the lengths of the three sides of your triangle:

first side:  x-4 (inches)
second side:  x (inches)
third side:  (x-4) + 3 (inches)

Add these three quantities up to obtain a formula for the perimeter, and set your sum equal to the given perimeter (15 inches):

x-4  +  x  +  x-4  -3  =  15

3x-11=15
3x=26
x=26/3

Thus, the length of the 2nd side is 26/3; that of the first side is 26/3-4, or 14/3; and that of the third side is 14/3+3, or 23/3 (all measurements in inches).


You might be interested in
Please give me the correct answer.​
nydimaria [60]

Answer:

The third one which is the one on the bottom to the right under 34 the ont he bottom

7 0
3 years ago
What are undefined terms that can be used to define other terms
sashaice [31]
Point, line and plane
4 0
3 years ago
EFV and EDW are straight lines.<br>Find the value of x and of y.​
Makovka662 [10]

Answers:

x = 72

y = 83

============================================================

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

  • E = x
  • F = 130
  • G = 170
  • H = 65
  • D = 103

Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

---------------------------------------

Now focus your attention on triangle THS

We see that the interior angles are

  • T = y
  • H = 65
  • S = 32

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

y+97 = 180

y = 180-97

y = 83

7 0
3 years ago
Diana usually drives at average rate of 30 mph. If she drives for 2 hours with the speed that is 10 mph more than usual, what di
Rashid [163]

Answer:  80 miles

Step-by-step explanation:

10mph + 30mph = 40 mph

Distance = Speed × time

D = 40m/h × 2 h

D = 80 m

6 0
3 years ago
560 students of the senior class voted to take a field
lesya [120]

Answer:

420

Step-by-step explanation:

you would first work out 3/4 of 560 so you would do 560÷4 which gives you 140. then you will times 3 by 140 which gives you 420. 420 went to the trip

7 0
2 years ago
Other questions:
  • These points are linear.<br>Find the slope.<br>x|2|3|4 5 6 7<br>y 10/15/20 25 30 35<br>slope = [?]​
    6·1 answer
  • NEED HELP ASAP!!
    14·1 answer
  • Divide Using Synthetic Division:<br> (4x2 - 24x + 35) / (2x - 5)
    7·1 answer
  • HELP PLEASE I NEED TO KNOW --&gt; SUPER EASY QUESTION
    11·1 answer
  • Is talking sound energy
    5·1 answer
  • What is the image of point (3,5) if the rotstion is -180 degrees
    5·1 answer
  • I need help ASAP !!!! Please
    11·1 answer
  • Please please answer will give brainliest
    12·2 answers
  • Make d the subject of h = d/3 + 2
    9·1 answer
  • A group of workers can plant 54 acres in 9 days. What is their rate in acres per day?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!