To get from home to work, Felix can either take a bike path through the rectangular park or ride his bike along two sides of the
1 answer:
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Answer:
m<B=m<K=100
m<A=m<J=133
m<L=m<C=41
m<M=m<D=86
Step-by-step explanation:
Since , the corresponding angles are congruent.
This implies that:
m<L=41=m<C
m<M=86=m<D
The sum of angles in a quadrilateral is 360 degrees.
m<B+133+41+86=360
m<B+260=360
m<B=360-260
m<B=m<K=100
Answer:
D. <em>a</em> = 11.71 and <em>b</em> = 15.56
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Trigonometry</u>
- All angles in a triangle add up to 180°
<u>Pre-Calculus</u>
- Law of Sines:
Step-by-step explanation:
<u>Step 1: Define</u>
AC = b
CB = a
AB = 7
m∠A = 45°
m∠B = 110°
m∠C = ?
<u>Step 2: Find missing ∠</u>
- Set up equation: m∠C + 45° + 110° = 180°
- Combine like terms: m∠C + 115° = 180°
- Isolate unknown: m∠C = 25°
<u>Step 3: Find measure of </u><em><u>b</u></em>
- Substitute:
- Cross-multiply:
- Isolate <em>b</em>:
- Evaluate:
- Round:
<u>Step 4: Find measure of </u><em><u>a</u></em>
- Substitute:
- Cross-multiply:
- Isolate <em>a</em>:
- Evaluate:
- Round: