Answer :- Yes the two triangles are similar because there are two pairs of congruent corresponding angles.
Explanation:-
In Δ ABC
∠A=30° , ∠C=65 °
By angle sum property of triangle
∠A + ∠B + ∠C= 180°
⇒∠B= 180°-∠A-∠C=180°-30°-65°=85°
⇒∠B=85°
Now in ΔABC and ΔDEF
∠A=∠D=30° and ∠B=∠E=85°
⇒ there are two pairs of congruent corresponding angles.
So by AA-similarity criteria
ΔABC ≈ ΔDEF
Answer:
-1/2
Step-by-step explanation:
7<sqrt55<8 i hope that helps
Answer:
infinitely many solutions
Step-by-step explanation:
When a quantity grows (gets bigger), then we can compute its PERCENT INCREASE:
[beautiful math coming... please be patient] <span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span></span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span></span></span>
Some people write this formula with <span><span>100%</span><span>100%</span></span>
at the end,
to emphasize that since it is percent increase, it should be reported as a percent.
So, here's an alternate way to give the formula:
<span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span>⋅100%</span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span>⋅100%</span></span>
Recall that <span><span>100%=100⋅<span>1100</span>=1</span><span>100%=100⋅<span>1100</span>=1</span></span>
.
So, <span><span>100%</span><span>100%</span></span>
is just the number <span>11</span>
!
Multiplying by <span>11</span>
doesn't change anything except the name of the number!
Hope this helps
