The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
Answer:
y=1.6x-5
Step-by-step explanation:
<h2>
Answer:</h2>
<u><em> 17 + z -(-9)</em></u>
<u><em>+17 +17</em></u>
<u><em>(34) + (26)</em></u>
<u><em> z=60</em></u>
<h2>
Step-by-step explanation:</h2>
<em><u>You need to solve for Z so we need to get z by itself so take 17 and add it to both sides because whatever is on the left side of the equal sign is always what you need to add 17+ 17 then 17+(-9) you get your answers then add those two up then you get z=60.</u></em>
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(4.2*105)+(5.3*10^5)
441 + 530000
530441
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If your problem is (4.2*10^5)+(5.3*10^5), it would be
420000 + 530000
950000
1/5÷4
multiply by reciprocal
1/5×1/4
1/20
