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
butalik [34]
3 years ago
15

Find the value of x

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
7 0

Answer:

We know that the area of a triangle is:

1/2 * base * height

We are given:

base = x + 6

height = x

area = 108 m^2

Applying the formula:

Area  = 1/2 * base * height

<em>108 = 1/2 * x * (x + 6)</em>

<em>x² + 6x = 216</em>

<em>x² + 6x - 216 = 0</em>

<em>x² + 18x - 12x -216 = 0   (Splitting the middle term)</em>

<em>x(x + 18) - 12(x + 18) = 0</em>

<em>(x + 18) (x - 12) = 0</em>

Hence, we have 2 possible values for x:   -18 or 12

Since taking x as -18 will result in the length of sides of this triangle to be negative, -18 is NOT the value of x

Therefore, x = 12

You might be interested in
The length of each side of a square increases by 2.5 inches to form a new square with a perimeter of 70 inches. The length of ea
densk [106]

Check the picture below.

6 0
2 years ago
a pack of toilet paper was originally $4.50 , it now cost $6.75. What is the solution to this problem?
Nitella [24]
2.25 is correct have a good day
5 0
2 years ago
Answer asap plllllsssssss​
Kisachek [45]

Answer:

n + 32 = 59.13

Step-by-step explanation:

n + 32 = 59.13

3 0
2 years ago
Read 2 more answers
Find the slope on the line graph???
scoundrel [369]

Answer:

slope = 0

Step-by-step explanation:

The line shown is horizontal and parallel to the x- axis.

Since the x- axis has a slope of zero

Then the given line has a slope = 0

7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B5%7D%20x-5%5C%5Cy%3D-x-7" id="TexFormula1" title="y=-\frac{3}{5} x-5\\y=
oksian1 [2.3K]

Answer:

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Combine like terms to simplify the expression:<br> 1.17-0.07a+(-3.92a)
    10·1 answer
  • Explain why P(A|D) and P(D|A) from the table below are not equal.
    10·2 answers
  • A sailboat leaves port and sails 12 kilometers west and then 9 kilometers north.
    14·1 answer
  • CAN SOMEONE PLEASE HELP ME ASAP PLEASEE ANYBODY LITERALLY ANYONE OUT THERE PLEASE
    11·1 answer
  • Todd is trying to decide between two jobs. Job A pays $400 per week plus a 20% commission on everything sold. Job B pays $500 pe
    5·2 answers
  • 1. The perimeter of a rectangle is 36 inches (remember: perimeter is the sum of all the side
    10·1 answer
  • Sarah got £72 for her birthday. She spent 40% of the money on
    15·1 answer
  • Plz Answer This Mathematics Question??? NEED HELP ASAP
    10·2 answers
  • 4(4x-2) + 1 = 16x - 7<br><br> how many solutions
    14·2 answers
  • In the diagram, the length of segment AB is 10 units and the radius of the circle centered at A is 4 units. Use this to create t
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!