First you need to find a common denominator. 11/15 = 22/30
3/10= 9/30
9/30+22/30= 1 1/30
Hope this helps!
9514 1404 393
Answer:
- P₂ and x are both supplementary to N₁
- Q₁
- R = 90° -x
- ΔSMP ≅ ΔSMR ∴ PS ≅ SR
Step-by-step explanation:
1. Angles P₂ and N₁ are opposite angles of inscribed quadrilateral PMNQ, so are supplementary. Angles N₁ and N₂ form a linear pair, so are supplementary. Angles supplementary to the same angle (N₁) are congruent, hence P₂ = x ≅ N₂
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2. ΔPMQ is isosceles, so angle Q₁ is also congruent to x.
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3. In ΔPMQ, the sum of angles is 180°, so ...
M₁ +2x = 180°
Dividing by 2 gives ...
M₁/2 +x = 90°
Angle M₁ subtends arc PQ of circle M. Angle R inscribed in circle M subtends the same arc, so ...
R = (M₁/2)
R = 90° -x
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4. From the above, we know that angles N₂ and R are complementary (total 90°), so angle S₂ = 90°. Segment MS will only intersect chord PR at right angles at the midpoint of that chord.
Hence S is the midpoint of PR and PS = SR.
Answer:
n = 0
Step-by-step explanation:
To solve this equation, we would have to get it into the form n = _. That would be our answer.
56n + 36n = 0
Combine like terms. 56n + 36n turns into 92n.
92n = 0
Divide both sides by 92 to get rid of the coefficient of 92 on the left side. On the right side, 0 divided by 92 is still 0.
n = 0
The solution to the equation would be n = 0.
I hope you find this helpful. :)
Since the angles are being bisected, both angles are equal to each other.
33 = 4x + 1
-1 on both sides
32 = 4x
/4 on both sides
x = 8
Answer:
x = 8
