Answer:
B 6 if thats wrong its probably a
Step-by-step explanation:
We are finding the least common multiple
the least common multiple of 2and3 is 6
The option that describes h(x) is B. The function h(x) is increasing on the interval (5, ∞).
<h3>What is a function?</h3>
In mathematics, a function simply means a relation between the inputs and the outputs.
In this case, the information given is that h(x) is 2 times the square root x minus 5. The square root of the negative number cannot be taken, therefore, the domain of the function is restricted.
Since the domain is restricted, the function is increasing. Therefore, the function h(x) is increasing on the interval (5, ∞).
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Answer:
hai
like you see, there are 2 line on the triangle.
68° is looking in front of one line, so the other line's front have to be 68°
now we found 2 corner of triangle.
a triangle's sum of interior angles equal to 180°
68°+68° = 136°.
now i have to remove 136 from 180 to find our x
180°-136° = 44°
x = 44°
good luck(:
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.
