Given that the triangles are similar.
When triangles are similar, all three pairs of corresponding sides are in the same ratio.
Similarly in the given triangles, the ratio of the corresponding sides are equal.


Cross multiplying, we get



Dividing both sides of the equation by -4.
So, we get
x = 7.
2x + 9 = -65
2x = -65 - 9
2x = -74
x = -74/2
x = -37
So, your final answer is -37
Hope this helps!
Answer:
9sqrt(3) in.
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
If the short leg measures 1, then the hypotenuse measures 2.
The length of the hypotenuse is twice the length of the short leg.
The length of the long leg is sqrt(3) times the length of the short leg.
If the hypotenuse measures 18 in., then the short leg measures 9 in.
Then the long leg measures 9sqrt(3) in.
Answer:
option D
Step-by-step explanation:
we have a right triangle
we know
c^2=a^2+b^2
c=hypotenuse
c=52 cm
a=48 cm
b= 20 cm
we substitute in the equation c^2=a^a+b^2
so we have
52^2=48^2+20^2
52= sqrt(48^2+20^2)
52= sqrt(2304+400)
52= sqrt(2704)
52cm=52cm
so c=52 cm
so the option D is the correct answer