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
nataly862011 [7]
3 years ago
11

Need help fast! need the value of x and please show the work!

Mathematics
1 answer:
lions [1.4K]3 years ago
6 0

By the external angle of a triangle theorem

m < ABD = m < BDC + m < BCD

That is  5x + 2 = x^2 - 1 + 4x - 3

x^2  + 4x - 5x - 1 - 3 - 2 = 0

x^2 - x - 6 = 0

(x - 3)(x + 2) = 0

x = 3,  -2

x cannot be -2 because that would make the external angle, 5x-2 negative.

Answer x = 3

You might be interested in
A rectangular patio has a length of (3x-6) and a width of 5x, find the perimeter in simplest form
BartSMP [9]
The answer is 3(x−2)
8 0
3 years ago
Suppose I have a wooden cube, which I then split into eight equal pieces. If I give you two of those pieces, and then give you t
vampirchik [111]

Answer:

.625

Step-by-step explanation:

Since the amount of pieces are 8, and you gave 5 away, you have to divide 5 by 8. This gives you .625

5 0
3 years ago
Read 2 more answers
Complete the pattern. Blank 8,570 , blank, 85.7, 8.57, blank
tekilochka [14]
85700
8570
85.7
8.57
0.857

Each time, you divide by 10 (move the decimal place 1 place value to the left).
7 0
3 years ago
Read 2 more answers
Which statement about g(x)=x^2-576 is true
Ipatiy [6.2K]

Answer:

c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).

Step-by-step explanation:

The given function is

g(x)=x^2-576

When we equate the function to zero, we obtai;

x^2-576=0

Use difference of two squares:

x^2-24^2=0

(x-24)(x+24)=0

Use the zero product property to obtain;

x-24=0,\:and\:x+24=0

This implies that;

x=24,\:and\:x=-24

The correct choice is C

6 0
3 years ago
Darren is purchasing a home for $973000. He makes 25% down payment and obtains a 20 year fixed rate mortgage loan at 8% annual i
pogonyaev
Down payment
973,000×0.25=243,250

principle
973,000−243,250=729,750

interest
6,103.92×12×20−729,750=735,190.8

intangible tax
729,750×0.007=5,108.25

Total cost
243,250+729,750+735,190.8
+5,108.25=1,713,299.05
6 0
3 years ago
Other questions:
  • If a laptop originally costs $800, the balance due after the 10% discount and $150 gift card is applied is $
    9·2 answers
  • K(2) = 6x + 100<br> k(-5) =
    7·1 answer
  • What is the volume of a box that has a base of 1 foot by 1 foot and a height of 2 feet?
    12·1 answer
  • A. -4 &lt;= x &lt;= 0 b. y &gt;= -3 c. all real numbers 4. {-4,0}
    8·1 answer
  • What is the value of log √10?
    13·2 answers
  • Lily is redecorating her house. She needs to work out the area of the wall around her
    11·1 answer
  • Is (9, 0) a solution to the equation y = 9? yes no​
    13·1 answer
  • Help please I don’t know explain please
    12·1 answer
  • PLEASE HELP
    7·1 answer
  • Solve using substitution.<br><br> x = –2<br> 5x + 3y = 14
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!