29°
triangles can only have 180°
This is a right triangle, so one angle is 90°, leaving us with 90° left
90°-61°= 29°
Answer:
Octave
Step-by-step explanation:
F to F is an Octave.
Answer:
we are given with two terms: 20 k and 50. In this case, we are asked in the problem to factor the two terms forming the expression. The common factor of 20k and 50 is 10 because the two terms are divisible by it. The answer hence is 10*(2k +5)
Step-by-step explanation:
Answer:
a) growth
b) $500
c) 6% = 0.06
d) 
e) $595.51
Step-by-step explanation:
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<u>Part (a)</u>
Exponential GROWTH, since interest is applied to the account each year.
<u>Part (b)</u>
Initial amount = $500
<u>Part (c)</u>
Growth factor = 6% = 0.06 (in decimal form)
<u>Part (d)</u>
General form of exponential growth function:

where:
- a = initial amount
- r = rate of growth (in decimal form)
- x = time (in years)
Given:


<u>Part (e)</u>
when x = 3

Answer:
Part 1) Triangles ABC, DBG, DEF and BEH are similar
Part 2)
Step-by-step explanation:
Part 1)
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
In this problem Triangles ABC, DBG, DEF and BEH are similar, because its corresponding angles are congruent by AA Similarity Theorem
Part 2)
Remember that
If two triangles are similar, then the ratio of its corresponding sides is equal
therefore