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
fredd [130]
2 years ago
10

Below are two parallel lines with a third line intersecting them.

Mathematics
1 answer:
Scrat [10]2 years ago
3 0

Answer:

x = 53 degree

Step-by-step explanation:

53 degree angle = x angle( alternate exterior angle)

Therfore, x = 53 degree

Mark as brainliest

You might be interested in
Tina is saving to buy a notebook computer. She has two options. The first option is to put $500 away initially and save $10 ever
Alexxandr [17]

Answer:

Tina would save the same amount using either option after 20 months.

With either option, Tina would save $700.

Step-by-step explanation:

This problem can be modeled by a first order equation:

Where Tina's saved money after n months is:

S(n) = S(0) + rn, where S(0) is the money put away initially and r is how much she saves every month.

The first option is to put $500 away initially and save $10 every month, so:

S_{1}(n) = 500 + 10n

The second option is to put $100 away initially and save $30 every month, so:

S_{2}(n) = 100 + 30n

After how many months would Tina save the same amount using either option?

It will happen at the month n in which S_{1}(n) = S_{2}(n), so:

S_{1}(n) = S_{2}(n)

500 + 10n = 100 + 30n

500 - 100 = 30 - 10n

400 = 20n

20n = 400

n = \frac{400}{20}

n = 20.

Tina would save the same amount using either option after 20 months.

How much would she save with either option?

We can choose S_{1}(20) or S_{2}(20), since they are equal

S_{1}(20) = 500 + 10(20) = 500 + 200 = 700

With either option, Tina would save $700.

3 0
3 years ago
Explain the steps necessary to convert a quadratic function in standard form to vertex form
SIZIF [17.4K]

Answer:

See below.

Step-by-step explanation:

Here's an example to illustrate the method:

f(x) = 3x^2 - 6x + 10

First divide the first 2 terms by the coefficient of x^2 , which is 3:

= 3(x^2 - 2x) + 10

Now  divide the -2 ( in -2x) by 2 and write the x^2 - 2x in the form

(x - b/2)^2 - b/2)^2  (where b = 2) , which will be equal to x^2 - 2x in a different form.

= 3[ (x - 1)^2 - 1^2 ] + 10 (Note: we have to subtract the 1^2 because (x - 1)^2 = x^2 - 2x  + 1^2  and we have to make it equal to x^2 - 2x)

= 3 [(x - 1)^2 -1 ] + 10

= 3(x - 1)^2 - 3 + 10

= <u>3(x - 1)^2 + 7 </u><------- Vertex form.

In general form the vertex form of:

ax^2 + bx + c  = a [(x - b/2a)^2 - (b/2a)^2] + c .

This is not easy to commit to memory so I suggest the best way to do these conversions is to remember the general method.

3 0
3 years ago
Read 2 more answers
Between which two integers does the square root of 117 lie
Trava [24]

Answer: 10 and 11 or -11 and -10

6 0
2 years ago
Read 2 more answers
Solve and round if neccesary -2x^2+18+7x
koban [17]
I dont lhow the answer tomorrow in the morning I will tell you
3 0
3 years ago
Read 2 more answers
If g(x) = 3x + 8, find g-1(4)
arsen [322]

Answer:

\frac{-4}{3}=g-1(4)

Step-by-step explanation:

x=3y+8   --->   y=\frac{x-8}{3}

y=\frac{(4)-8}{3}

\frac{-4}{3}

4 0
2 years ago
Other questions:
  • Siddarth is putting baseball cards into a book that has 100 pages. Each page holds 9 cards. If Josh has 828 baseball cards, how
    15·1 answer
  • Draw an open shape and closed shape.Label your picture
    7·2 answers
  • Gunther invested $10,000 in two mutual funds. One of the funds rose 6% in one year and the other rose 9% in one year. If his inv
    7·2 answers
  • tickets for the basketball game cost 14$ each.if the sale of the tickets brought in 2212,how many tickets were sold?
    11·2 answers
  • Simplify: (64^-1/2)^-2/3
    14·1 answer
  • Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.
    13·2 answers
  • How to find volume of the cylinder
    9·1 answer
  • Write 0.21..... as a fraction in simplest form
    5·2 answers
  • Cm<br> 25 m=<br> m<br> =<br> 5 km<br> 11
    8·1 answer
  • What is the mean of the values in the stem-and-leaf plot?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!