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Black_prince [1.1K]
3 years ago
9

what is the smallest number of degrees needed to rotate a regular Pentagon around its center onto itself?

Mathematics
1 answer:
Alex3 years ago
4 0
One rotation has 360 degrees. Since regular Pentagon has 5 sides and each of them takes 360/5=72 degrees when looked from center, if we rotate regular Pentagon by 72 degrees we will get same shape as we started from.

Therefore answer is 72 degrees.
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the table shows a relative frequency distribution for the size of farms in the united states. find the probability that a random
Alina [70]

Step-by-step explanation:

The probability that a farm has 500 or more acres is:

P = 0.076 + 0.047 + 0.035

P = 0.158

5 0
3 years ago
Minimum point of the quadratic x^2+6x-2
WITCHER [35]

Answer:

(-3,-11)

Step-by-step explanation:

Compare the given quadratic equation with the general quadratic equation.

a=1, b=6 and c=-2

x=-\dfrac{(6)}{2(1)}\\=-3

Subsitute -3 for x in given quadratic equation.

y=(-3)^2+6(-3)-2\\=9-18-2\\=-11

The minimum point is (-3,-11).

3 0
2 years ago
Part 2. State what additional information is required in order to know that the triangles are congruent by ASA.​
Helga [31]
<h3>Answer: Choice D. \angle SQR \cong \angle XQR</h3>

The red angle markers show those two angles are congruent. That's one "A" of "ASA". The S refers to a congruent pair of sides. We don't have any tickmarks to indicate congruent pairs; however, we do know that QR = QR is a shared side that overlaps (reflexive theorem). So this is the "S" in "ASA".

The thing missing is the angle Q of the top triangle, and also of the bottom triangle as well. If we know those two angles are congruent, then we have enough info to use ASA. More specifically, if we know that \angle SQR \cong \angle XQR, then we can use ASA.

One thing to notice is that the other answer choices involve side lengths and not angles. This implies that if A, B or C were one of the answers, then we would have something like SAS or SSS. But instead we want ASA. So we can immediately rule choices A,B, and C out.

7 0
3 years ago
1. The sum of first n terms of an arithmetic sequence is 3n²+4n
valentina_108 [34]

Answer:

<h3>           a.  a₁=7,     b.  a_n=7n+1,    c.  a₂₀=141</h3>

Step-by-step explanation:

a.

 a_1=S_1=3\cdot1^2+4\cdot1=3+4=7

b.

   a_1+a_2=S_2\\\\a_1+a_1+d=3\cdot2^2+4\cdot2\\\\7+7+d=3\cdot4+8\\\\14+d=12+8\\\\d=6\\\\\\a_n=a_1+d(n-1)\\\\a_n=7+6(n-1)\\\\a_n=7+6n-6\\\\\underline{a_n=7n+1}

c.

 a_{20}=7\cdot20+1=141

5 0
3 years ago
Pls help me I will make you as brain plsss
juin [17]

Answer: y=-2

Step-by-step explanation: y=-2 is a horizontal line containing the points (2,-2) and (0,-2).

8 0
3 years ago
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