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3 years ago

What is b? I need help answering this question.

Mathematics

1 answer:

Vsevolod [243]3 years ago

8 0

Hi!

The line that the 36 degree angle rests on is a straight angle, meaning that it measures 180 degrees. This straight angle is split up into two separate angles. Since we already know one of the angle measures we can do some simple subtraction to get the angle measurement for angle b.

180-36=144

So angle b measures 144 degrees.

Hope this helps :)

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X+2y=12. what does x equal

PilotLPTM [1.2K]

Answer:

x = -2y + 12

Step-by-step explanation:

Let's solve for x.

x + 2y = 12

Step 1: Add -2y to both sides.

x + 2y + −2y = 12 + −2y

x = −2y + 12

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3 years ago

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Express the given expanded numeral as a Hindu-Arabic numeral. (8x102) +(4x10)(2x1)

Marysya12 [62]

Answer:

The Hindu-Arabic numeral form of the given expanded numeral is 842.

Step-by-step explanation:

The given expanded numeral is

$(8\times 10^2)+(4\times 10)+(2\times 1)$

We need to express the given expanded numeral as a Hindu-Arabic numeral.

According to Hindu-Arabic numeral the given expanded numeral is written as

$(8\times 10^2)+(4\times 10)+(2\times 1)=(8\times 100)+(4\times 10)+(2\times 1)$

On simplification we get,

$(8\times 10^2)+(4\times 10)+(2\times 1)=(800)+(40)+(2)$

$(8\times 10^2)+(4\times 10)+(2\times 1)=842$

Therefore the Hindu-Arabic numeral form of the given expanded numeral is 842.

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3 years ago

The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal with a mean of 16.12 OZ and a

elena-14-01-66 [18.8K]

Answer: 90.82%

Step-by-step explanation:

Given : The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal .

Mean : $\mu=16.12\text{ OZ}$

Standard deviation: $\sigma=0.09\text{ OZ}$

Let X be the random variable that represents the amount of soda in bottles.

Formula for z-score : $z=\dfrac{x-\mu}{\sigma}$

Z-score for 16 oz: $z=\dfrac{16-16.12}{0.09}=-1.33$

Using the standard normal z-distribution table , the probability that the soda bottles that contain more than the 16 OZ is given by :_

$P(x>60)=P(z>-1.33)=1-P(x\leq-1.33)=1-0.0917591=0.9082409\approx0.9082\approx90.82\%$

Hence, the percentage of the soda bottles that contain more than the 16 OZ advertised is 90.82% .

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3 years ago

Determine which statements are true in reals3. (Selectall that apply.)

Serggg [28]

Answer:

(a)Two lines parallel to a third line are parallel.

(f) Two lines perpendicular to a plane are parallel.

(h) Two planes perpendicular to a line are parallel.

(i) Two planes either intersect or are parallel.

(k) A plane and a line either intersect or are parallel

Step-by-step explanation:

(b) Two lines perpendicular to a third line are parallel. -- No. The y-, and z-axes are perpendicular to the x-axis, but are not parallel.

(d) Two planes perpendicular to a third plane are parallel. -- No. The x-y and y-z coordinate planes are both perpendicular to the x-z coordinate plane, but are at right angles to each other.

(e) Two lines parallel to a plane are parallel. -- No. Two intersecting lines in the plane z=0 are both parallel to the plane z=1, but are not parallel to each other.

(g) Two planes parallel to a line are parallel. -- No. Both the x-z plane and the y-z plane are parallel to the line (x, y, z) = (1, 1, z), but those coordinate planes are perpendicular to each other.

(j) Two lines either intersect or are parallel. -- No. The lines may be skew, running different directions in parallel panes.

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3 years ago