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3 years ago

Given the overlapping triangles shown at the right. Notice the parallel segments. Find x. 6 х 9 MathBils.com 20

Mathematics

1 answer:

Nat2105 [25]3 years ago

4 0

Using the principle of parallel lines, the value of x in the given triangle is calculated to be 8

The smaller triangle can be expressed as :

Side / base = 6/x ----(1)

The larger triangle can be expressed as :

Side / base
Side = 6+9 = 15
15/20 - - - - - (2)

Equating (1) and (2) :

6/x = 15 / 20

15x = 20 × 6

15x = 120

x = 120 / 15

x = 8

Therefore, the value of x in the triangle is 8.

Learn more : brainly.com/question/25326255

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Answer:

Length $=25$ inches

Width $= 15$ inches

Step-by-step explanation:

Let $l$ = length of rectangle, $w$ = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

$lw = 375$

$2l+2w=80$

So:

$l+w = 80\div2$

$=40$

$l=40-w$

Now, we can use substitution to find the value of $w$ :

$lw = 375$

$(40-w)w = 375$

$40w-w^2 = 375$

$375+w^2-40w = 0$ (Quadratic equation)

$(w-15)(w-25) = 0$

∴ $w = 15, 25$

We can use substitution again to find the value of $l$

$lw = 375$

$l=375\div w$

$=25,15$

∵ Length usually refers to the longer side of a rectangle, ∴ length $=25$ inches and width $=15$ inches.

Hope this helps :)

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Given the overlapping triangles shown at the right. Notice the parallel segments. Find x. 6 х 9 MathBils.com 20​

Given the overlapping triangles shown at the right. Notice the parallel segments. Find x. 6 х 9 MathBils.com 20