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Olin [163]
2 years ago
10

Match the values based on parallelogram ABCD, shown in the figure. Tiles length of value of value of Pairs 56 arrowBoth 4 arrowB

oth 44 arrowBoth 2 arrowBoth
Mathematics
1 answer:
borishaifa [10]2 years ago
7 0
Given a parallelogram ABCD with the measure of segment BC = (6 - x) units, the measure of segment AD = (x + 2) units.
Angle A measures (100 - y) degrees and angle C measures (12 + y) degrees.

Recall that for a parallelogram, <span>the opposite sides are of equal length and the opposite angles are of equal measure.

From the given parallelogram, segment BC is opposite to segment AD and angle A is opposite to angle C.

Thus, 6 - x = x + 2
2x = 4
x = 2

Therefore, the value of x is 2 and the length of segment BC is 6 - 2 = 4 units.

Similarly, 100 - y = 12 + y
2y = 88
y = 44

Therefore, value of y is 44 and the measure of angle DAB is 100 - 44 = 56 degrees.
</span>
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A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical
Korolek [52]

Answer:

78% probability that a randomly selected online customer does not live within 50 miles of a physical​ store.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Total outcomes:

100 customers

Desired outcomes:

A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical stores. So the number of desired outcomes is 78 customers.

Using this​ estimate, what is the probability that a randomly selected online customer does not live within 50 miles of a physical​ store?

p = \frac{78}{100} = 0.78

78% probability that a randomly selected online customer does not live within 50 miles of a physical​ store.

4 0
2 years ago
A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the oceanis 12.5°. If a point on the ocean fl
Travka [436]

Answer:

The 13.2 meters from that point on the ocean floor to the wreck.

Step-by-step explanation:

As given

A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the ocean is 12.5°.

If a point on the ocean floor is 60 meters.

Now by using the trigonometric identity.

tan\theta = \frac{Perpendicular}{Base}

As shown in the figure given below.

Perpendicular = CB

Base = AC = 60 meters

\theta = 12.5^{\circ}

Put in the identity

tan\ 12.5^{\circ} = \frac{CB}{AC}

tan\ 12.5^{\circ} = \frac{CB}{60}

tan\ 12.5^{\circ} = 0.22

tan\ 12.5^{\circ} = 0.22

0.22= \frac{CB}{60}

CB = 60 × 0.22

CB = 13.2 meters

Therefore the 13.2 meters from that point on the ocean floor to the wreck.







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2 years ago
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\frac{6}{-8} is similar to \frac{-6}{8}

Fraction with numerator -6 and denominator 8 
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Step-by-step explanation:

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levacccp [35]

Answer:

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