Charlotte and Edgar's ages add up to 22. Charlotte is one year
1 answer:
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Answer:
1.
- Degree: 2
- Number of terms: 3
2.
- Degree: 3
- Number of terms: 2
3.
- Degree: 4
- Number of terms: 2
Step-by-step explanation:
For this exercise you need to remember the multiplication of signs:
1. Given:
Apply the Distributive property:
Add the like terms:
You can idenfity that:
- Degree: 2
- Number of terms: 3
2. Given:
Add the like terms:
You can idenfity that:
- Degree: 3
- Number of terms: 2
3. Given:
Apply Distributive property:
Add the like terms:
You can idenfity that:
- Degree: 4
- Number of terms: 2
Answer:
148°
Step-by-step explanation:
The measure of the intercepted arc QN is twice the measure of inscribed angle QNT.
arc QN = 2(74°) = 148°
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<em>Comment on the question and answer</em>
Your description "on the circle between points Q and N" is ambiguous. You used the same description for both points P and R. The interpretation we used is shown in the attachment. If point P is on the long arc NQ, then the measure of arc QPN will be the difference between 148° and 360°, hence 212°. You need to choose the answer that matches the diagram you have.
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We call angle QNT an "inscribed angle" because it is a degenerate case of an inscribed angle. The usual case has the vertex of the angle separate from the ends of the arc it intercepts. In the case of a tangent meeting a chord, the vertex is coincident with one of the ends of the intercepted arc. The relation between angle measure and arc measure remains the same: 1 : 2.
