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Ne4ueva [31]
3 years ago
12

Given a circle with a diameter of which equation expresses it as the ratio of the circumference of a circle to its diameter?

Mathematics
1 answer:
laiz [17]3 years ago
3 0

Answer:

B. π = 8C/5

Step-by-step explanation:

Given the following data;

Diameter = ⅝

To find the ratio;

Mathematically, the circumference of a circle is given by the formula;

C = πD

Where;

C is the circumference of a circle.

D is the diameter of a circle.

Substituting the value of D, we have;

C = π * ⅝

Cross-multiplying, we have;

8C = 5π

π = 8C/5

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PLS HELP Question 3
nikdorinn [45]

The theorems that matches each respective description are:

  • Vertical Angles Theorem - 1
  • Triangle Sum Theorem - 2
  • Corresponding Angles Postulate - 5
  • Same-Side Interior Angles Theorem - 8
  • Isosceles Triangle Theorem - 3
  • Alternate Exterior Angles Theorem - 7
  • Triangle Midsegment Theorem - 4
  • Alternate Interior Angles Theorem - 6

<h3>What is the Vertical Angles Theorem?</h3>
  • This theorem states that a pair of vertical angles that are formed will always be congruent.
  • Number 1 description matches this theorem.

<h3>What is the Triangle Sum Theorem?</h3>
  • This states that all three interior angles of a triangle equals 180 degrees.
  • Number 2 description matches this theorem.

<h3>What is the Corresponding Angles Postulate?</h3>
  • This states that the corresponding angles formed, when a transversal cuts two parallel lines, are congruent.
  • Number 5 description matches this theorem.

<h3>What is the Same-Side Interior Angles Theorem?</h3>
  • This states that the same-side interior angles formed, when a transversal cuts two parallel lines, are congruent.
  • Number 8 description matches this theorem.

<h3>What is the Isosceles Triangle Theorem?</h3>
  • This states that the the two equal sides of an isosceles triangle are directly opposite the two congruent angles of the triangle.
  • Number 3 description matches this theorem.

<h3>What is the Alternate Exterior Angles Theorem?</h3>
  • This states that the alternate exterior angles formed, when a transversal cuts two parallel lines, are congruent.
  • Number 7 description matches this theorem.

<h3>What is the Triangle Midsegment Theorem?</h3>
  • This states that the midsegment of a triangle is always half the length of the third side it is parallel to.
  • Number 4 description matches this theorem.

<h3>What is the Alternate Interior Angles Theorem?</h3>
  • This states that the alternate interior angles formed, when a transversal cuts two parallel lines, are congruent.
  • Number 6 description matches this theorem.

Learn more about Angles Theorem on:

brainly.com/question/24756010

7 0
3 years ago
What is the explicit formula of -1,-3,-9,-27
TEA [102]

Answer:

(-1)* (3)^(n-1)

Step-by-step explanation:

common ratio is 3 and the first term is -1

the explicit formula is a * r^ ( n-1)

i.e., (-1) * 3^(n-1)

3 0
4 years ago
If 32^2c= 8^c+7, what is the value of c
Leona [35]

\bf 32^{2c}=8^{c+7}~~ \begin{cases} 32=2\cdot 2\cdot 2\cdot 2\cdot 2\\ \qquad 2^5\\ 8=2\cdot 2\cdot 2\\ \qquad 2^3 \end{cases}\implies (2^5)^{2c}=(2^3)^{c+7} \\\\\\ 2^{5(2c)}=2^{3(c+7)}\implies \stackrel{\textit{if the bases are the same, then so are the exponents}}{5(2c)=3(c+7)\implies 10c=3c+21} \\\\\\ 7c=21\implies c=\cfrac{21}{7}\implies c=3

3 0
3 years ago
Read 2 more answers
Keisha earns $5.50 per hour for yard work.She also charges a $2.00 fee for supplies
Wewaii [24]

Answer/Step-by-step explanation:

Earns per hour: $5.50

1 time fee : $2

Total = $35

( h - hours)

Equation :

5.50h + 2 = 35

First step is to suntract 2 from each side:

5.50h + 2 - 2 = 35 - 2

Simplify

5.50h = 33

Divide each side by 5.50 to seprate h from the numbers:

5.50h/5.50 = 33/ 5.50

H = 6

ANSWER: 6 hours

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In ΔWXY, x = 1.2 inches, y = 3.1 inches and ∠W=131°. Find ∠X, to the nearest 10th of an degree.
Oxana [17]

Answer:

13.1

Step-by-step explanation:.

6 0
3 years ago
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