Answer:
Make the picture clearer and bigger
Step-by-step explanation:
Answer: Choice A) AA postulate; 18
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Work Shown:
The triangles are similar to each other due to the AA (angle angle) postulate. The top angles are overlapping or shared angles. So that's the first pair. The second pair of angles is either bottom pair of angles, from the fact that corresponding angles are congruent. This is only true if the lines are parallel.
Due to the similar triangles, we can set up the proportion and solve for x
8/(8+4) = 12/x
8/12 = 12/x
8*x = 12*12 ... cross multiply
8x = 144
x = 144/8
x = 18
1.) 52:97.5
2.) 1:1.875
Hope this helps!
Numbers are 416, 417 and 418
<u>Step-by-step explanation:</u>
Step 1:
Let the numbers be x, x + 1 and x + 2. Given that their sum is 1251.
⇒ x + x + 1 + x + 2 = 1251
⇒ 3x + 3 = 1251
⇒ 3x = 1248
⇒ x = 416
Step 2:
Find the other numbers.
⇒ x + 1 = 417 and x + 2 = 418
