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svetoff [14.1K]
3 years ago
9

What is the measure of DG?

Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0
Problem 1)

Minor arc DG is 110 degrees because we double the inscribed angle (DHG) to get 2*55 = 110


Answer: 110 degrees

=================================================

Problem 2)

Central angle GDC is the same measure as arc GFC. The central angle cuts off this arc.

The arcs GEC and GFC both combine to form a full circle. There are no gaps or overlapping portions.

So they must add to 360 degrees

(arc GEC) + (arc GFC) = 360
(230) + (arc GFC) = 360
(230) + (arc GFC)-230 = 360-230
arc GCF = 130 


Answer: 130 degrees

=================================================

Problem 3)

Similar to problem 1, we have another inscribed angle. ABC is the inscribed angle that cuts off minor arc AC

So by the inscribed angle theorem
arc AC = 2*(inscribed angle ABC)
3x+9 = 2*(3x-1.5)

Solve for x
3x+9 = 2*(3x-1.5)
3x+9 = 6x-3
9+3 = 6x-3x
12 = 3x
3x = 12
3x/3 = 12/3
x = 4

If x = 4, then 
arc AC = 3x+9
arc AC = 3*4+9
arc AC = 21


Answer: 21 degrees

=================================================

Problem 4)

Since we have congruent chords, this means that the subtended arcs are congruent. In this case, the arcs in question are CO and HZ

So arc CO is congruent to arc HZ


Answer is choice D

=================================================

Problem 5)

We have a right triangle due to Thale's theorem

The angles 75 degrees and x degrees are complementary angles. They must add to 90

x+75 = 90
x+75-75 = 90-75
x = 15


Answer: Choice D) 15 
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I am having trouble with this question. ​
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Step-by-step explanation:

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Three coins are dropped on a table.
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Answer:

(a) S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

(b) \frac{1}{8}

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(e) 1 - \frac{1}{2} = \frac{1}{2}

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The table below represents a linear function f(x) and the equation represents a function g(x):
Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}

g(x) = 3x - 2

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}

This gives:

m = \frac{f(0) - f(1)}{0 - 1}

m = \frac{f(0) - f(1)}{- 1}

Substitute values for f(0) and f(1)

m = \frac{-1 - 7}{- 1}

m = \frac{-8}{- 1}

m = 8

The slope of g(x) can be gotten using the following comparison

g(x) = mx + b

m \to slope

So:

g(x) = 3x -2

m = 3

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Solving (b): Compare the y intercept

y intercept is when x = 0

From the table of f(x)

f(0) = -1

From the equation of g(x)

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<em></em>f(0) > g(0)<em></em>

6 0
3 years ago
Workland has a population of 10,000, of whom 7,000 work 8 hours a day to produce a total of 224,000 final goods. Laborland has a
kenny6666 [7]

Answer:

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Step-by-step explanation:

Consider the provided information.

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Productivity = Output / Input

For Workland productivity is:

\frac{224,000}{7,000 \times 8}=\frac{224,000}{56,000}= 4

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For Laborland, productivity is:

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For Workland,

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for Laborland,

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Thus, Workland has a higher real GDP per person.

7 0
3 years ago
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