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Mars2501 [29]
3 years ago
5

Which of the following represents the series ?

Mathematics
1 answer:
aleksklad [387]3 years ago
5 0
The denominator in each term of the series is a square number, but neither n-6 nor n^2+1 are squares. So none of (1), (2), and (4) can be correct. The answer must be (3).
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Please Identify the congruent triangles in the figure.
Tpy6a [65]

The missing steps are each right angles and \angle R \cong \angle O.

Solution:

Step 1: Given data:

\overline {P Q} \cong \overline{M N}

\overline{Q R} \cong \overline{N O}

\overline{P R} \cong \overline{M O}

Step 2: In the two polygons,

\angle Q =90^\circ and \angle N =90^\circ

\angle Q \cong \angle N (Each right angle)

Step 3: Given

\angle P \cong \angle M

Step 4: By third angle theorem,

If two angles in one triangle are congruent to the two angles in the other triangle, then the third angles in the triangles also congruent.

\angle R \cong \angle O

Step 5: By the definition of congruent polygons,

If two same shape polygons have all the angles are congruent and all the corresponding sides are congruent then the polygons are congruent.

Hence \Delta P Q R \cong \Delta M N O.

Therefore the missing steps are each right angles and \angle R \cong \angle O.

5 0
3 years ago
When Shanaje baby-sits her nephews, she charges $8 plus $4 per hour. If
Vlad1618 [11]
4h +8=20
Hours worked times rate paid plus 8 must equal 20
3 0
3 years ago
a bathtub can hold 66 gallons of water 5.5 gallons of water to the bathtub every minute by dog how many minutes it takes to fill
satela [25.4K]

Answer:

12 minutes

Step-by-step explanation:

6 0
3 years ago
Write in algebraic expression 15 less than the product of 2 and r
STALIN [3.7K]

Answer:

2r - 15

Step-by-step explanation:

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Is y = 3x + 5 proportional and why?
ser-zykov [4K]
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8 0
3 years ago
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