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Schach [20]
3 years ago
13

The steps below describe the construction of a line AG that is parallel to segment PQ and passes through a point A outside of PQ

:
Step
Step 2
PBD
Step 3
Which statement describes the next step?
The width of the compass is adjusted to DE, and an arc is drawn from Point E.
The width of the compass is adjusted to DE, and an arc is drawn from Point A
The width of the compass is adjusted to DE, and an arc is drawn from Point F
The width of the compass is adjusted to DE, and an arc is drawn from Point D.

Mathematics
2 answers:
luda_lava [24]3 years ago
8 0

Answer:

C

Step-by-step explanation:

In the step 4, the width of the compass is adjusted to DE, and an arc is drawn from Point F. The intersection between the arc passing through F and the  arc drawn in step 4, creates the new point G. Drawing a line that pass through A and G construct line AG that is parallel to segment PQ and passes through a point A outside of PQ.

Alenkasestr [34]3 years ago
7 0

Answer:

The width of the compass is adjusted to DE, and an arc is drawn from Point F

Step-by-step explanation:

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Choose the symbol that correctly compares the fractions below. 1/6 ? 4/5
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Answer:

The value of 1/6 is less than the value of4\5.

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3 years ago
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Evaluate the line integral for x^2yds where c is the top hal fo the circle x62 _y^2 = 9
natulia [17]
Parameterize C by

\mathbf r(t)=\langle x(t),y(t)\rangle=\langle3\cos t,3\sin t\rangle

where 0\le t\le\pi. Then the line integral is

\displaystyle\int_Cx^2y\,\mathrm dS=\int_{t=0}^{t=\pi}x(t)^2y(t)\left\|\frac{\mathrm d\mathbf r(t)}{\mathrm dt}\right\|\,\mathrm dt
=\displaystyle\int_{t=0}^{t=\pi}(3\cos t)^2(3\sin t)\sqrt{(-3\sin t)^2+(3\cos t)^2}\,\mathrm dt
=\displaystyle3^4\int_{t=0}^{t=\pi}\cos^2t\sin t\,\mathrm dt

Take u=\cos t, then

=\displaystyle-3^4\int_{u=1}^{u=-1}u^2\,\mathrm du
=\displaystyle3^4\int_{u=-1}^{u=1}u^2\,\mathrm du
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6 0
3 years ago
Solve this equation for x 0.95 = log x
Lelechka [254]

Answer:

8.91

Step-by-step explanation:

Given:  0.95 = log x,

we can conclude that:

    0.95            log x

10             =  10

                                                          0.95

which in turn is equivalent to x = 10            whose value is  8.91

5 0
3 years ago
(1 point) Suppose we will flip a fair coin 100 times. (a) What does 35 heads correspond to on the standard scale? (enter exact a
vlada-n [284]

Answer:

(a) 35 heads correspond to -3 on the standard scale.

(b) z = 2.4 corresponds to 62 heads on the number of heads scale.

Step-by-step explanation:

(a) If we flip a fair coin once, probability of getting head = 0.5

If we flip a fair coin 100 times, mean number of heads = 100(0.5) = 50

If there are N draws with a P probability of success, the standard deviation (SD) is given as:

SD = \sqrt{(N)(P)(1 - P)}

Here, the probability of getting a head (P) is 0.5 while the number of draws (N) is 100. So,

SD = \sqrt{(100)(0.5)(1-0.5)}

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Hence, 35 heads correspond to -3 on the standard scale.

(b) The standard scale value is 2.4 and we need to find the number of heads.

(X - 50) / 5 = 2.4

X - 50 = 12

X = 62

Hence, z = 2.4 on the standard scale corresponds to 62 on the number of heads scale.

4 0
4 years ago
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