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
nasty-shy [4]
3 years ago
7

The legs of an isosceles triangle have lengths x+1 and -x+7 . The base has length 3x-3. What is the length of the base?

Mathematics
1 answer:
mote1985 [20]3 years ago
6 0

The only thing I'm a little unclear on here is what you mean by
the "legs" of an isosceles triangle. 

I'm going to assume that your isosceles triangle is standing on
the side you call the "base", and the "legs" are the two slanty ones,
standing up, which are the two equal sides.

With that set-up,                       x + 1 = -x + 7

Add  x  to each side:               2x + 1 =        7

Subtract  1  from each side:    2x      =        6

Divide each side by  2 :            x       =        3


Finally, if the base is  (3x - 3), then that's  (3·3 - 3)  =  6 .

You might be interested in
What’s the difference quotient simplified
mihalych1998 [28]

\text{Use}\ (a+b)^3=a^3+3a^2b+3ab^2+b^3\\\\f(x+h)\to\text{exchange x to x + h}\\\\f(x)=x^3+3x\\\\f(x+h)=(x+h)^3+3(x+h)\\\\f(x+h)=x^3+3x^2h+3xh^2+h^3+3x+3h\\\\\dfrac{f(x+h)-f(x)}{h}=\dfrac{x^3+3x^2h+3xh^2+h^3+3x+3h-(x^3-3x)}{h}\\\\=\dfrac{x^3+3x^2h+3xh^2+h^3+3x+3h-x^3-3x}{h}\\\\=\dfrac{(x^3-x^3)+3x^2h+3xh^2+h^3+(3x-3x)+3h}{h}\\\\=\dfrac{3x^2h+3xh^2+h^3+3h}{h}\\\\=\dfrac{h(3x^2+3xh+h^2+3)}{h}\\\\=\boxed{3x^2+3xh+h^2+3}

7 0
3 years ago
Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours dur
Gelneren [198K]
I am setting the week hourly rate to x, and the weekend to y.  Here is how the equation is set up:

13x + 14y = $250.90
15x + 8y = $204.70

This is a system of equations, and we can solve it by multiplying the top equation by 4, and the bottom equation by -7.  Now it equals:

52x + 56y = $1003.60
-105x - 56y = -$1432.90

Now we add these two equations together to get:

-53x = -$429.30 --> 53x = $429.30 --> (divide both sides by 53) x = 8.10.  This is how much she makes per hour on a week day.

Now we can plug in our answer for x to find y.  I am going to use the first equation, but you could use either.

$105.30 + 14y = $250.90.  Subtract $105.30 from both sides --> 14y = $145.60 divide by 14 --> y = $10.40

Now we know that she makes $8.10 per hour on the week days, and $10.40 per hour on the weekends.  Subtracting 8.1 from 10.4, we figure out that she makes $2.30 more per hour on the weekends than week days.
7 0
3 years ago
Read 2 more answers
What is the median of the following numbers? 1,2,10,6,4,4,6,3,1,4
e-lub [12.9K]

Answer

Answer= 4

Step-by-step explanation:

The answer is 4 because for the median you have to put the numbers from smallest to largest.

When you have done that you have to find the middle number which in this case is 4.

Hope that helps you

4 0
3 years ago
Read 2 more answers
Together, a house and the lot it is on costs $40,000. If the house costs seven times as much as the lot, how much does the lot c
padilas [110]

The lot costs 5000 dollars.

<u>Step-by-step explanation:</u>

The cost of a House and the lot = $40,000.

Let us assume the cost of lot as 'x'

Given that, The cost of the house is 7 times as much as the lot.

Therefore, The cost of the house= 7x

The cost of both the house and the lot= x + 7x

$40,000 = x + 7x

40,000 = 8x

x = 40,000/8

x = 5,000

The lot costs $5000.

4 0
3 years ago
Thr diffrence between 4,632 and 20,000
stira [4]
The answer to that is :

15,368
6 0
3 years ago
Read 2 more answers
Other questions:
  • Henry's wage is £450 per week.
    13·1 answer
  • B(n)= -1(2)^n1 what is the 5th term in the sequence?
    15·1 answer
  • PLEASE HELP !!!!
    10·1 answer
  • Please help marking like brainlist
    12·2 answers
  • Please help, this is due tonight
    14·2 answers
  • Please help me please please
    15·1 answer
  • When x is between -4 and -1, is the function increasing or decreasing
    6·1 answer
  • On a biased dice the probability of getting 1 is 0.3. The ice is rolled 150 times. How many ones would you expect to roll?
    8·1 answer
  • The area of a rectangler swiming pool is 240 sq ft .
    9·2 answers
  • A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!