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atroni
16 days ago
10

Given angle A, how can you construct an angle whose measure is 1/4 m of angle A?

Mathematics
2 answers:
Inessa [3.9K]16 days ago
8 0

Solution:

Detailed steps:

Given angle A, our objective is to construct an angle whose measure equals one-fourth of angle A.

This means dividing angle A into four equal parts, where each part corresponds to the required angle.

To achieve this, first construct the bisector of angle A, splitting it into two equal angles each measuring half of A. Then bisect one of these halves to create an angle that is one-quarter of A.

The resulting smaller angle is the desired one.

Thus, option A is correct: first bisect angle A, then bisect one of the resulting smaller angles.

lawyer [4K]16 days ago
3 0
Suppose angle A measures 80 degrees. Halving it would yield 40 degrees, and bisecting that angle again produces 20 degrees. This 20 degrees angle is exactly one-quarter of 80 degrees, since 20 times 4 equals 80.
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How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) =
lawyer [4008]

The adjusted equation $g(x)=\frac{1}{x+4}-6$, indicating that the graph has been altered 4 units leftward and 6 units downward.

Clarification:

The parent equation is $f(x)=\frac{1}{x}$.

The transformed equation is $g(x)=\frac{1}{x+4}-6$.

Applying the function transformation rules, it's clear that the parent function $f(x)=\frac{1}{x}$ has been modified into the function $g(x)=\frac{1}{x+4}-6$.

According to the function transformation rules,

$f(x+b)$ indicates shifting the function b units to the left.

Thus, the transformed function reflects a shift 4 units to the left.

Additionally, from the function transformation rules, we understand that,

$f(x)-b$ indicates shifting the function b units downward.

Consequently, the transformed function mirrors a shift of 6 units downward.

In summary, the adjusted equation $g(x)=\frac{1}{x+4}-6$, shows the graph shifted 4 units to the left and 6 units downward.

6 0
13 days ago
Read 2 more answers
Recycled cd’s incorporated, offers a choice of 5 used CD for $24, with each additional CD costing $5. Write a cost function for
AnnZ [3877]

If $24 is the price for the 5 used CDs, then your formula would be "24+5x" where x represents the count of additional CDs you buy.

24+5(6-5)

24+5(1)

24+5

=29


Thus, acquiring 6 CDs would cost $29


I hope that’s accurate, good luck^^

5 0
10 days ago
Square T was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to create square T″.
AnnZ [3877]

Answer: OPTION C.

Step-by-step explanation:

It is essential to consider the following:

Dilation:

  • A transformation where the image retains the same shape as the original but differs in size.
  • Dilation maintains the order of points.
  •  Measurements of angles remain unchanged.

Translation:

  • A transformation that keeps the image identical in size and shape to the original.
  • Translation preserves the ordering of points.
  • The angle measurements do not change.

Consequently, since Square T underwent translation followed by dilation to form Square T'', we conclude that the rationale explaining why they are similar is:

Translations and dilations maintain the order of points; thereby, the corresponding sides of squares T and T″ are proportional.

6 0
3 days ago
Read 2 more answers
What is the greatest common factor of 36, 34, and 22?
zzz [4022]
The factors of 36 include: 1, 2, 3, 4, 6, 9, 12, 18, 36.
For 34, the factors are: 1, 2, 17, 34.
The factors of 22 are: 1, 2, 11, 22.
The greatest common factor (GCF) is 2.
7 0
11 days ago
Explain the steps for dividing decimals. Write three or four sentences.
PIT_PIT [3919]

Response:

Step-by-step explanation:

Shift the decimal points in both the divisor and the dividend.

Transform the divisor (the number you're dividing by) into a whole number by moving its decimal to the furthest right. Simultaneously, adjust the dividend's decimal (the number being divided) the same number of places to the right.

In the quotient (the result), place a decimal point directly over where the decimal point is now located in the dividend.

Proceed with the division as normal, ensuring proper alignment so the decimal point appears correctly.

Align each digit in the quotient directly over the last digit of the dividend utilized in that step.

4 0
7 days ago
Read 2 more answers
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