Help find the missing segment???

Mathematics

2 answers:

SVEN [57.7K]3 years ago

6 0

(9/6) = (15/?)
9? = 90
? = 10

zimovet [89]3 years ago

3 0

Answer:

Step-by-step explanation:

The similarity of triangles says that the ratio between the corresponding sides is the same.

See that, if 9/6 = 1.5

15 / x = 1.5

We solve the equation

we multiply 15/x by x to remove the fraction

(15 / x) x = 1.5 * x

It result

15 = 1.5x

Now, we divide everything by 1.5 to leave the X alone

15 / 1.5 = (1.5x)/1.5

It result

15/1.5 = x

10 = x

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X+2(x+3(x+4(x+5)))=153

Allushta [10]

Answer:

$x=1$

Step-by-step explanation:

Here first open the inner parentheses and use the distributive property,

$4(x+5)=4x+20\\\\(x+4(x+5))=(x+4x+20)=(5x+20)\\\\3(x+4(x+5))=3(5x+20)=15x+60\\\\(x+3(x+4(x+5)))=(x+15x+60)=16x+60\\\\2(x+3(x+4(x+5)))=2(16x+60)=32x+120\\\\x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\\Hence\ x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\Rightarrow 33x+120=153\\\\33x=153-120\\\\33x=33\\\\x=1$