Answer:
Less than: 1/4, 1/8, 1/16,...
Greater than: 5/8, 3/4, 1,...
Hope this helps :)
4. The Jar Has More Coins. This is because to go from 10% to 8% the number of coins besides penny's has to increase
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Answer:
39 / 10
Step-by-step explanation:
3.9
= 3.9 x 10 / 10
= 39 / 10
Answer:
d.
Step-by-step explanation:
Let's examine each statement:
Option A: m<CUD = m<VUM (CORRECT)
Rationale: vertical angles are congruent to each other.
Option B: m<AUV + m<DUA = 180 (CORRECT)
Rationale: angles on a straight line
Option C: m<MUC - m<MUD = m<CUD (CORRECT)
Rationale:
m<MUC = m<MUD + m<CUD
Subtract m<MUD from each side
m<MUC - m<MUD = m<CUD
Option D is FALSE
Rationale:
m<PUD + m <VUP = 180° (angles on a straight line)
m<PUM + m<CUA ≠ 180°
Therefore,
m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.
The given expression is a difference of squares, so we have
16 (<em>a</em> + <em>b</em>)² - 49 (<em>a</em> - <em>b</em>)² = 4² (<em>a</em> + <em>b</em>)² - 7² (<em>a</em> - <em>b</em>)²
… = (4 (<em>a</em> + <em>b</em>))² - (7 (<em>a</em> - <em>b</em>))²
… = (4 (<em>a</em> + <em>b</em>) - 7 (<em>a</em> - <em>b</em>)) (4 (<em>a</em> + <em>b</em>) + 7 (<em>a</em> - <em>b</em>))
… = (4<em>a</em> + 4<em>b</em> - 7<em>a</em> + 7<em>b</em>) (4<em>a</em> + 4<em>b</em> + 7<em>a</em> - 7<em>b</em>)
… = (-3<em>a</em> + 11<em>b</em>) (11<em>a</em> - 3<em>b</em>)
