Answer:
a=109° b=71°
Step-by-step explanation:
All the angles in a parallelogram add up to 360. There are a few rules:
The opposite angles are congruent.
Consecutive angles are congruent.
We can apply these rules here.
71 is opposite to b
and a is consecutive to 71 so we can put together these equations.
180=71+a
71=b
we can simplify to get the answers
the end
Answer:
less value
Step-by-step explanation:
To deterimine if value was improved or not, we need to compare the price reduction to the size reduction.
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The reduction in price is ...
((new value)/(old value) -1) × 100%
= (42/50 -1) × 100% = -16%
The size reduction of 20% is more than the price reduction of 16%, so the chocolate bar is <em>less value</em>.
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<em>Additional comment</em>
Compared to the original value, the new price to chocolate ratio is ...
0.84/0.80 = 1.05
Effectively, the price was raised by 5%.
Part A) The area of a parallelogram is base × height.
3 × 2/3 = 6/3 = 2
2 feet squared is the area of the whole parallelogram.
Part B) The diagonal of a parallelogram separates it into two congruent triangles.
The area of each triangle will be:
base × height × 1/2
3 × 2/3 × 1/2 = 6/6 = 1
1 foot squared is the area for each triangle.
