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sergejj [24]
3 years ago
14

What is the first step when constructing an angle bisector using only a compass and a straightedge

Mathematics
2 answers:
kirza4 [7]3 years ago
5 0

Answer:

Place the compass on the vertex of the angle, and draw an arc across both legs of the angle.

Step-by-step explanation:

To draw an angle bisector, using only a compass and a straightedge, we first need to - Place the compass on the vertex of the angle, and draw an arc across both legs of the angle.

So, this is the first step to draw an angle bisector.

zloy xaker [14]3 years ago
3 0

Step 1 is, "draw arcs through both legs of the angle, centered at the vertex of the angle."

_____

The arcs crossing the two legs have the same radius. One arc crossing both legs can be used, if you like.

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The Highway Safety Department wants to study the driving habits of individuals. A sample of 40 cars traveling on a particular st
Ipatiy [6.2K]

Answer:

We need a sample size of at least 101

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What sample size is needed to estimate the true average speed to within 2 mph at 99% confidence?

We need a sample of at least n.

n is found when M = 2. So

M = z*\frac{\sigma}{\sqrt{n}}

2 = 2.575*\frac{7.8}{\sqrt{n}}

2\sqrt{n} = 2.575*7.8

\sqrt{n} = \frac{2.575*7.8}{2}

(\sqrt{n})^{2} = (\frac{2.575*7.8}{2})^{2}

n = 100.85

Rounding up

We need a sample size of at least 101

8 0
3 years ago
Read 2 more answers
-8(1+8n)-8(6-4n)=-24
Naily [24]

-8(1 + 8n) - 8(6 - 4n) = -24

-8 - 64n - 48 + 32n = -24

-32n - 56 = -24

-32n = 32

n = -1

3 0
3 years ago
The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis
andreyandreev [35.5K]

Answer:

a. Let the variable be x for the fundraising activities and M as the revenue for foundation.

b. M =0.60x

c. $43.2

d. $1416.67

Step-by-step explanation:

Given that:

The World Issues club donates 60% of the total of their fundraising activities.

Answer a.

Let us choose the variable x to represent the money earned during fundraising activities and M for the revenue generated for foundation.

Answer b.

Foundation will receive 60% of the total of the fundraising activities.

Equation to determine the money that will be received by foundation:

M = 60\%\ of\ x\\OR\\M = 0.6x

Answer c.

Given that x = $72, M = ?

Putting the value of x in the equation above:

M = 0.6 \times 72\\\Rightarrow \$43.2

Answer d.

Given that M = $850, x = ?

Putting the value of M in the equation above to find x:

850= 0.6 \times x\\\Rightarrow x = \dfrac{850}{0.6}\\\Rightarrow x = \$ 1416.67

So, the answers are:

a. Let the variable be x for the fundraising activities and M as the revenue for foundation.

b. M =0.60x

c. $43.2

d. $1416.67

5 0
3 years ago
If (x^2−1)/(x+1) = 3x + 5, then x + 3 =<br> (A) -3<br> (B) -2<br> (C) 0<br> (D) 2<br> (E) 4
sineoko [7]
The answer is C) 0
Because math
4 0
2 years ago
What is (X^3 - 4x^2 + 4x - 1) / (x-1)?
professor190 [17]

Answer:

x^{2} -3x+1

Step-by-step explanation:

\frac{x^{3}-4x^{2} +4x-1}{x-1}=\frac{(x-1)(x^{2}-3x+1 )}{x-1}=x^{2}-3x+1

8 0
3 years ago
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