Answer:
Btm Left
Step-by-step explanation:
Answer:
Step-by-step explanation:
∠AEC ≅ ∠BED as vertically opposite angles
- m∠AEC = m∠BED = 1/2(mAC + mBD), angles between intersecting chords
<u>Substitute values and solve for x:</u>
- 4x = 1/2(120 + 2x)
- 4x = 60 + x
- 3x = 60
- x = 20
<u>Find the measure of AEC:</u>
<u>AED and AEC form a linear pair hence supplementary:</u>
- m∠AED = 180° - m∠AEC<u> </u>
<u>Find the measure of ∠AED:</u>
- m∠AED = 180° - 80° = 100°
It is the same as commutative, just flipping the position of the numbers. For multiplication, it is the same. 3x2=2x3. But with division, you are dividing the second number from the first, so it matters what number is first and can affect it heavily.
<h3>
Answer: Choice D which is (13-5x)/(2x-8)</h3>
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Explanation:
Fractions in all honesty are quite simply a pain. They complicate things greatly. Luckily we can cancel out some of the fractions here. Note we have inner fractions 3/(x-2) and 4/(x-2), both of which having a denominator of (x-2).
Focus on just the stuff up top which is 3/(x-2) - 5. Multiply both of the terms by the expression (x-2) to get the fraction 3/(x-2) turning into just 3. The 5 becomes 5(x-2) = 5x-10. So we end up with the expression 3 - (5x-10) = 3-5x+10 = 13-15x up top
Similarly, in the denominator we have 2 - (4/(x-2)) which becomes 2(x-2) - 4 = 2x-4-4 = 2x-8 when we multiply everything by (x-2) to cancel out that inner fraction.
So that's how we end up with (13-5x) all over (2x-8) as our final answer.
