Answer:
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
Step-by-step explanation:
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The volume of the rectangular prism can be found with the formula
v= length × width × height
V = 10×10×30 = 3000
the volume of the triangular prism can be found with
v = 1/2(base×width×height)
v=1/2×30×9×10 = 1/2×2700
v = 1350
Now add the two volumes together for the total volume...
3000+1350 = 4,350 in^3
-7(k+9)=9(k-5)-14k
-7k-63=(9k-45)-14k
-7k-63=-5k-45
-7k=-5k+18
-2k=18
k=-9
Answer:
804.2 meters³
Step-by-step explanation:
To find the volume of a cylinder, you multiply the height by the area of the base (which is πr²), so the equation is <em>V = hπr²</em>.
We can plug in out givens: <em>V = 16*π*4²</em>. Simplifying this gives us <em>V = 256 π meters³</em> which is approximately 804.2 meters³.
