Answer:
x = 3
y = 2
Step-by-step explanation:
When 2 triangles are congruent, they will have exact same 3 sides length and exact same 3 angles measure.
So we can say:
-2x + 6y = 6
and
-7x + 8y = -5
Let's multiply first equation by 7 and 2nd equation by -2, to get:
7 [-2x + 6y = 6] = -14x +42y = 42
and
-2 [-7x + 8y = -5] = 14x - 16y = 10
Now adding these 2 new equations and solving for y:
-14x +42y = 42
14x - 16y = 10
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26y = 52
y = 52/26
y = 2
Now we put y = 2 into 1st equation (or any other) and solve for x:
-2x + 6y = 6
-2x + 6(2) = 6
-2x + 12 = 6
6 = 2x
x = 6/2
x = 3
Area of a circle = pi x r^2
200.96 = pi x r^2
200.96 = 3.14 x r^2
r^2 = 64
r = 8 inches
Hope this helps!! :)
15.5 15.5 x 2 = 31. hope this helps
Answer:
no
Step-by-step explanation:
In ∆XYZ, we can write the ratios of the sides from shortest to longest as ...
y : z : x = 1 : 1.5 : 2 = 2 : 3 : 4
In ∆QSR, we can write the ratios of the side lengths from shortest to longest as ...
r : s : q = 0.5 : 1 : 1.5 = 1 : 2 : 3
Based on side lengths only, the triangles cannot be similar.
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<em>Additional note</em>
Even if shortest-to-longest side ratios were the same, the triangle naming is incorrect for them to be similar.
