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gregori [183]
3 years ago
12

Find the value of x in the triangle. SU RV

Mathematics
1 answer:
kodGreya [7K]3 years ago
5 0

Answer:

x = 8

Step-by-step explanation:

Δ TSU and Δ TRV are similar , thus the ratios of corresponding sides are equal, that is

\frac{TS}{TR} = \frac{TU}{TV} , substitute values

\frac{x}{x+16} = \frac{5}{15} = \frac{1}{3} ( cross- multiply )

3x = x + 16 ( subtract x from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

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What is the value of x? 6x−2(x 4)=12
jonny [76]

Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

<span>Equation at the end of step  2  :</span>  6x2 - x - 4 = 0 <span>((2•3x2) - x) - 4 = 0 </span><span>Step  2  :</span>Trying to factor by splitting the middle term

<span> 2.1 </span>    Factoring <span> 6x2-x-4</span> 

The first term is, <span> <span>6x2</span> </span> its coefficient is <span> 6 </span>.
The middle term is, <span> -x </span> its coefficient is <span> -1 </span>.
The last term, "the constant", is <span> -4 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 6</span> • -4 = -24</span> 

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is  <span> -1 </span>.

<span><span>     -24   +   1   =   -23</span><span>     -12   +   2   =   -10</span><span>     -8   +   3   =   -5</span><span>     -6   +   4   =   -2</span><span>     -4   +   6   =   2</span><span>     -3   +   8   =   5</span><span>     -2   +   12   =   10</span><span>     -1   +   24   =   23
</span></span>

Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

<span>Equation at the end of step  2  :</span><span> 6x2 - x - 4 = 0 </span>

3 0
3 years ago
HELP FAST!
mote1985 [20]
3(2x + 4) = -6
6x + 12 = -6
6x = -6 - 12
6x = - 18
x = -18/6
x = -3
3 0
3 years ago
Read 2 more answers
Ramona went to a theme park during spring break. She was there for 7 hours and rode 14 rides. At what rate did Ramona ride rides
Tanzania [10]

Answer:

2 rides per hour

Step-by-step explanation:

This is a division problem since we would need to divide in order to answer the question.

Divide the amount of rides she rode to the number of hours she was there.

Input the numbers below:

amount of rides she rode/number of hours there

14/7=2

At this rate, Ramona rode 2 rides per hour.

8 0
3 years ago
Find the value of x that makes m ll n.​
Maslowich

Answer:

11. x = 6

12. x = 7

Step-by-step explanation:

11.

16x - 6 = 90

16x = 96

x = 6

12.

12x - 4 = 10x + 10

2x = 14

x = 7

4 0
3 years ago
using this model, the predicted number of owls in year 10 is about -38. does this prediction make sense ? why or why not
STALIN [3.7K]
No that answer does not make sense because you can't have -38 owls. Understand? Message me if you don't. :)
3 0
3 years ago
Read 2 more answers
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