The triangles are similar.

Mathematics

2 answers:

erik [133]3 years ago

6 0

5×4=20 , 12×4=48
53÷4 = 13 then
x=13

pishuonlain [190]3 years ago

5 0

Answer : The value of x is, 13

Step-by-step explanation :

As we know that when two object have same shape then they are similar. That means, when two triangles are similar then their ratios of lengths of their corresponding sides are equal.

Let the name of the big triangle be, PQR and small triangle be, XYZ.

Given:

PQR is similar to triangle XYZ. That means,

$\frac{PR}{PQ}=\frac{XZ}{XY}$

$\frac{52}{48}=\frac{x}{12}$

x = 13

Therefore, the value of x is, 13

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Read 2 more answers

To the nearest tenth, what is the y-coordinate for point A? 4.5 4.6 4.7 4.8

fomenos

the complete question is
<span>Point A has an x coordinate of −2 and lies in a circle with a center at (0, 0) and a radius of 5.
To the nearest tenth, what is the y-coordinate for point A?
A: 4.5
B: 4.6
C: 4.7
D: 4.8
see the attached figure

we know that
the equation of the circle is
(x-h)</span>²+(y-k)²=r²
(h,k) is the center---------> (h,k) is the point (0,0)
r=5 units
so
(x-h)²+(y-k)²=r²--------> (x-0)²+(y-0)²=5²------> x²+y²=25

substitute the value of x=-2 in the equation
(-2)²+y²=25------> y²=25-4------> y=(+/-)√21
the y coordinate of point A is positive----> see the picture
therefore
y=√21-----> 4.58-----> y=4.6

the answer is
the y-coordinate for point A is 4.6