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Nastasia [14]
3 years ago
12

Find all possible values of x in the similar triangles pqr stu

Mathematics
1 answer:
antoniya [11.8K]3 years ago
5 0
If triangles PQR and STU are similar then PQ corresponds to ST and PR corresponds to SU. Therefore, PQ/ST=PR/SU
Considering that, PQ= 7-x, ST= 13-x, PR= x²+5 and SU= x² +20
therefore, (7-x)/(13-x)= (x²+5)/(x²+20) 
               cross multiplying,
         7x² +140-x³+20x =13x²+65-x³-5x
combining the like terms,
          6x² +15x -75=0
          solving for x,
    x = 5/2 or -5 
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Read 2 more answers
Evaluate the following expression by applying the appropriate properties (24) 3 (31.7)/ 172
ale4655 [162]

−3/7×14/15×7/12×(−30/35)

=(−3/7×14/15)×(7/12×−30/35)

On further calculation, we get

=−2/5×−1/2

We get,

=1/5.

Property 1:

If a/b is a rational number and m is a non-zero integer then a/b =(a*m)/(b*m). In other words, we can say that the rational number remains unaltered if we multiply both the numerator and denominator with the same integer. Ex: 2/3 = 2*2/3*2 = 4/6, 2*3/3*3 = 6/9, 2*4/3*4 = 8/12.

Math Properties

Commutative Property.

Associative Property.

Distributive Property.

Identity Property.

Inverse Property.

Learn more about appropriate properties at

brainly.com/question/23576294

#SPJ4

7 0
2 years ago
Find the area! Please help me
Alexxx [7]

Answer:

Blue Box / First answer choice

Step-by-step explanation:

Plug in d1:8.6 and d2:10.2 into d1 x d2/2 to find the area.

d1 x d2/2

8.6 x 10.2/2

87.72/2

Area=43.86

6 0
3 years ago
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