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
timurjin [86]
2 years ago
6

The base of an isosceles triangle is one and a half times the length of the other two sides.A smaller triangle has a perimeter t

hat is half the perimeter of the first. Write an expression for the perimeter of the smaller triangle and combine like terms. What is the simplified expression?
Mathematics
1 answer:
Anna11 [10]2 years ago
4 0

Answer:

Perimeter of the smaller triangle = 1.75x

Step-by-step explanation:

Let the two equal sides of an isosceles triangle = x

Therefore, length of the base = (1\frac{1}{2})x

Perimeter of this isosceles triangle = x + x + (1\frac{1}{2})x

                                                          = 2x + (1+\frac{1}{2})x

                                                          = 2x + x + \frac{x}{2}

                                                          = \frac{5x}{2}

Since, smaller triangle has a perimeter that is half the perimeter of the larger triangle,

Length of each corresponding side of smaller triangle will be half of the larger triangle.

Length of sides of the smaller triangle = \frac{x}{2},\frac{x}{2},(1\frac{1}{2})\frac{x}{2}

Perimeter of the smaller triangle = \frac{x}{2}+\frac{x}{2}+(1\frac{1}{2})\frac{x}{2}

                                                      = x + \frac{x}{2}+\frac{x}{4}

                                                      = \frac{3}{2}x+\frac{x}{4}

                                                      = \frac{6}{4}x+\frac{x}{4}

                                                      = \frac{7}{4}x

                                                      = 1.75x

Therefore, expression that represents the perimeter of the smaller triangle is (1.75x)        

You might be interested in
4. (x+ 2)(2x2 + 9x+8)
vfiekz [6]

Answer:

2x3+9x2+8x+4x2+18x+16

2x3+13x2+26x+16

6 0
3 years ago
Emily had $56 in her account. She deposited a $265 check, and bought three equally priced backpacks for her children. The next d
Slav-nsk [51]
56+265= 321
321-243= 78
78/3= 26
Each backpack cost $26
6 0
3 years ago
Read 2 more answers
Every time Tom and Maya have a child, there is an equal probability of it being a boy or a girl.
cestrela7 [59]
All outcomes of three children (using G for girl and B for boy)
GGG, GGB,GBG,GBB,BGG,BGB,BBG,BBB
1) exactly two is 3 out of 8 total outcomes, or 3/8
2)  all sons is one outcome, or 1/8
4 0
3 years ago
What is the volume of this sphere? Use a 3.14 and round your answer to the nearest hundredth. 7 m​
kondor19780726 [428]

Answer:

V≈1436.76

Step-by-step explanation:

V=4/3 \pi r^{3}

V= 4/3 3.14*7^{3}

V=1436.75504

Rounded answer is 1436.76

8 0
3 years ago
Read 2 more answers
I need the steps for 28
IceJOKER [234]
Hope this helps with the answer to your question :)

4 0
3 years ago
Other questions:
  • How do i determine the domain and the equation of the vertical asymptote of the equation f(x)=ln (x+2)-1?
    9·1 answer
  • A store is having a sale where movies are 15% off their original price. A movies is on sale for $22.10. What was original price?
    10·1 answer
  • A force of 3 pounds acts in the direction of 42 degrees to the horizontal. The force moves an object along a straight line from
    10·1 answer
  • A tractor trailer weighs 80,000 pounds. Two tractor trailers come upon a bridge with a sign saying it can only handle 100 tons.
    12·1 answer
  • Which formula can be used to find the nth term in a geometric sequence where
    13·2 answers
  • I Need The Answer Plz!!
    11·1 answer
  • If 3t - 7 = 5t, then 6t =
    15·2 answers
  • A book weigh 6 pounds how many ounces is the book
    10·2 answers
  • harry got 42 and 49 correct on his test what fraction of the marks did he get wrong give your answer in it simplest form ​
    11·1 answer
  • What is the equation of the line that is paralle to y=3x-8 and passes thur the point (4,-5)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!