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Sonja [21]
3 years ago
9

I have to find the value of x​

Mathematics
1 answer:
Debora [2.8K]3 years ago
4 0

Answer:

x = 10

Step-by-step explanation:

To find x, write a proportion between the side lengths for the similar triangles in the figure.

\frac{x+5}{x}=\frac{18}{12}

To solve, cross multiply and isolate x.

(x+5)(12) = 18(x)

12x + 60 = 18x

60 = 6x

10 = x

You might be interested in
What multiplies to be -18 and adds to be -9?
Harrizon [31]
IMPORTANT:
If you're trying to factor a quadratic in Algebra I:
There are no two integers that can solve this problem!
Your quadratic is <em>prime</em>!

If you're trying to solve a quadratic (find x):
The factoring approach will not work for the same reasons listed above.
Try using splitting the middle or the quadratic formula instead.

Here's how you would solve it from a more advanced approach.
If you don't know what this stuff is, just ignore it.
ab = -18, a + b = -9
Find a in terms of b.
a = -9-b
Substitute this for a in the first equation.
(-9-b)b = -18
-9b-b² = -18
Multiply everything by -1 to get rid of all these negative signs.
b² + 9b = 18
Bring over that 18.
b² + 9b - 18 = 0
Apply the quadratic formula.
(a = 1, b = 9, c = -18)
\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-9\pm\sqrt{9^2-4(1)(-18)}}{1\times2}=\frac{-9\pm\sqrt{81+72}}{2}=\frac{-9\pm\sqrt{153}}{2}=\boxed{\frac{-9\pm3\sqrt{17}}{2}}
If you need to write two distinct numbers, just write out one with a + and one with a - in place of the plus-minus sign.
8 0
3 years ago
Students receive 25% off the regular ticket prices at schitterbahn. if the discounted ticket is $44.25, write an equation that c
Natasha2012 [34]

Answer:

(44.25/75)*100 or (44.25/3)*4

Step-by-step explanation:

Divide by the price of $44.25 by 75 (100% - 25%) and mulitily by 100

or $44.25 by 3 and multyply by 4. (25% is a quarter 1/4, so you need 4/4)

4 0
3 years ago
Please help!!!! ASAP HURRY
velikii [3]
Your answer is the matrix with the top row of -8  20   0  and bottom row of 
4   32   -4
5 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Gemiola [76]

Answer:  (D) <em>bottom right graph</em>

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

The vertex form of a quadratic equation is: f(x) = a(x - h)² + k,    where

  • (h, k) is the vertex
  • |a| is the vertical stretch
  • sign of "a" determines the direction of the parabola

Given g(x) = (x - 3)² - 5

  • vertex (h, k) = (3, -5)
  • vertical stretch |a| = 1
  • sign of "a" is positive so parabola points up

The only graph that satisfies all of these conditions is the bottom right.

7 0
3 years ago
Simplify :<br>(a+b)²<br>Thanks ​
Eddi Din [679]

Answer:

(a+b)(a+b)

=a^2 + ab + ab + b^2

=a^2 + 2ab + b^2

6 0
3 years ago
Read 2 more answers
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