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3 years ago

Which line is parallel to the line 8x + 2y = 12? 19

Mathematics

1 answer:

Katen [24]3 years ago

7 0

Answer:

4x + y =6

Step-by-step explanation:

Line 8x + 2y = 12 is parallel to the line 4x + y = 6.

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Which angles are vertical angles in the figure shown? Select two answers.

sukhopar [10]

Answer:

B and C

Step-by-step explanation:

Vertical angles are formed when you make lines make an x shape (or a turned x shape). The vertical angles are, on a normally positioned x the top and bottom angle, as well as the left and right angle. so every x has 2 vertcial angles unless the x is further split up.

So the part with angles 1. 2. 3 and 4 the top angle is 2, the bottom is 3, the left angle is 1 and the right angle is 4. This means the vertical angle pairs are 1 and 4 as well as 2 and 3.

So in total there are 2 x shapes, so 4 pairs of vertical angles. Here are all the vertical angles.

1 and 4

2 and 3

5 and 8

6 and 7

So from your choices you have 2 and 3 as choice B and 5 and 8 as choice C.

8 0

3 years ago

Triclosan is a compound often added to products such as soaps, lotions, and toothpaste. It is antimicrobial, so for that reason,

miv72 [106K]

Answer:

The appropriate alternative hypothesis is, Hₐ: p₁ - p₂ > 0.

Step-by-step explanation:

In this case it is provided that Triclosan is a compound often added to products such as soaps, lotions, and toothpaste.

Since the compound is antimicrobial its corporate producer maintained that it should help prevent staph infections among people who use products containing the compound.

But a scientist wants to test whether the compound actually is associated with higher incidence of staph infection.

That is he wants to determine whether people with a detectable level of triclosan have higher rates of carrying the staph bacteria than people without triclosan.

Denote:

Group 1: people with a detectable level of triclosan

Group 2: people without a detectable level of triclosan

To test this the hypothesis can be defined as follows:

H₀: The proportion of people with a detectable level of triclosan does not have higher rates of carrying the staph bacteria than people without triclosan, i.e. p₁ - p₂ ≤ 0.

Hₐ: The proportion of people with a detectable level of triclosan have higher rates of carrying the staph bacteria than people without triclosan, i.e. p₁ - p₂ > 0.

Thus, the appropriate alternative hypothesis is, Hₐ: p₁ - p₂ > 0.

6 0

3 years ago

The perimeter of a triangle is 19z-7. One side is 5z-9 and one side is 8z+3. What is the remaining side ?

insens350 [35]

19z-7 - ( 5z-9 + 8z+3)
= 19z - 7 - (13z - 6)
= 19z - 7 - 13z + 6
= 6z - 1

answer
remaining side = 6z - 1

3 0

3 years ago

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Sonja [21]

ΔABC is a 45 - 45 - 90 triangle. The pattern of its sides is as follows:

Each leg = 1 unit (and both legs are that way, since the triangle is isosceles - so two sides are the same)

Hypotenuse = √2 units.

So if we know either leg, we multiply by √2 to get the hypotenuse. In reverse, we divide by √2 if we know the hypotenuse to get the measurement of a leg.

Our problem tells us that the hypotenuse AC is 10 units. We divide 10 by √2 to get the measurement of leg AB. Since it's a 45 -45 - 90 triangle, AB = BC.

$AB = \frac{10}{\sqrt{2}}$