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kirill [66]
2 years ago
14

ABCD is a quadrilateral inscribed in a circle, as shown below: Circle O is shown with a quadrilateral ABCD inscribed inside it.

Angle A is labeled x plus 16. Angle B is labeled x degrees. Angle C is labeled 6x minus 4. Angle D is labeled 2x plus 16. What equation can be used to solve for angle C? (x + 16) + (x) = 180 (x + 16) + (6x − 4) = 180 (x + 16) − (2x + 16) = 180 (x + 16) + (x) = 90
Mathematics
1 answer:
kogti [31]2 years ago
5 0

Answer:

B. (x + 16) + (6x − 4) = 180

Step-by-step explanation:

The Cyclic Quadrilateral Theorem states that for a quadrilateral in a circle, the opposite angles will equal 180 degrees. So therefore you can conclude:

∠A + ∠C = 180° which would be (x + 16) + (6x - 4) = 180°

∠B + ∠D =180° which would be x + (2x - 16) = 180°

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The perimeter of a rectangle is 80x. The base is two times the height. In terms of x, what are the dimensions of the rectangle?
kirza4 [7]
By definition we have that the perimeter of a rectangle is given by:
 P = 2b + 2h
 Where,
 b: base
 h: height
 Also, as a data of the problem we have:
 base is two times the height:
 b = 2h
 Substituting we have:
 P = 2 (2h) + 2h
 Clearing h:
 6h = P
 h = P / 6
 h = (80x) / 6
 h = (40/3) x
 The base will be
 b = 2h
 b = (80/3) x
 Answer:
 the dimensions of the rectangle are
 b = (80/3) x
 h = (40/3) x
 b. h = 13.3x; b = 26.6x
5 0
1 year ago
Read 2 more answers
Explain what you can tell just by comparing the symbols in a picture graph
IceJOKER [234]

The <em>correct answer</em> is:

What objects we're comparing.

Explanation:

In a picture graph, symbols are used to represent the data being displayed. For example, if we took a survey on the types of foods people preferred at a cookout, we could use a picture of a hamburger, a picture of a hot dot and a picture of a chicken leg.

We cannot tell anything about the amounts in the graphs just by comparing the symbols.

5 0
2 years ago
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64-144a+108a^2-27a^3​
solmaris [256]

the answer for this question is 64-144a+108a^2-27a^3

3 0
2 years ago
Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty perso
Step2247 [10]

Answer:

the probability is 0.1143

Step-by-step explanation:

here are the details from the question you asked

number of people = 6

nuber of weapons = 6

number of rooms = 9

after narrowing it down to

3 people,3 weapons, and 6 rooms

= ⁶C₃ * ⁶C₃ *⁹C₆ / ²¹C₁₂

= 20 * 20 * 84 / 293930

= 33600/293930

= 0.1143

<u>The probability of making a random guess of the person who is guilty, weapon and location from this choices that have been narrowed down and the guess being correct is 0.1143</u>

7 0
2 years ago
How much profit was generated by the sales of gold label and black label combined?
blsea [12.9K]

The<u> profit</u> genereted  by the <u>sales of gold label and black label combined</u> is <u>the sum</u> of the profits generated by the sales of gold label and of the profits generated by the sales of black label.

1. From the table

\begin{array}{ccc}&\text{Number of bottles sold}&\text{Average profit (per bottle)}\\\text{Gold label}&1,000&\$2.75\end{array}

you can find the profits generated by the sales of gold label:

1,000\cdot \$2.75=\$2,750.

2. From the table

\begin{array}{ccc}&\text{Number of bottles sold}&\text{Average profit (per bottle)}\\\text{Black label}&2,000&\$1.50\end{array}

you can find the profits generated by the sales of black label:

2,000\cdot \$1.50=\$3,000.

In total

\$2,750+\$3,000=\$5,750.

Answer: correct option 5

8 0
2 years ago
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