You've already correctly labeled everything you need.
-- Ignore the lines YZ and YT .
-- That leaves you with the right triangle XYW .
-- Its legs are 8 and (12+3) = 15 .
-- XY is its hypotenuse.
I'm SURE you can finish it off from here.
Answer:
(11r + 8t)(11r - 8t)
Step-by-step explanation:
difference of two squares
Answer:
Step-by-step explanation:
Make x as subject.
Multiply both sides by x.
Subtract both sides by x.
Factor out x.
Divide both sides by y-1.
Switch variables.
Answer:
B. Yes, by the AA Similarity Postulate
Step-by-step explanation:
This triangles are both similar based on the AA Similarity Postulate. We know that all angles are equal because...
m∠ABE = m∠CBD = 42° (because they are veridical/opposite angels)
m∠AEB = 180° - m∠ABE - m∠EAB = 180° - 42° - 53° = 85°
Then from here we know that
m∠BDC = 180° - 85° - m∠CBD
m∠BDC = 95° - 42°
m∠BDC = 53°
From here we see that they are similar because of the AA Similarity Postulate, since
m∠ABE = m∠CBD = 42°
m∠BDC = m∠EAB = 53°
m∠AEB = m∠BCD = 85°
Answer:
Associative property of addition: Changing the grouping of addends does not change the sum. For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis.
Step-by-step explanation:
