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1 year ago

Geometry: complete this proof, ASAP!!!

Mathematics

1 answer:

Tresset [83]1 year ago

3 0

Answer:

By definition, angles A and 1 are corresponding angles and angles B and 1 are consecutive angles. By the corresponding angles postulate, angles A and 1 are congruent, and by the consecutive angles theorem, angles B and 1 are supplementary. By the definition of supplementary angles, measures of angle B and 1 add up to 180 degrees (m<B + m<1 = 180). By definition of congruent angles, angles A and 1 have same measurement (m<A = m<1). By substitution property of equality, measures of angles A and B add up to 180 degrees (m<A + m<B = 180). By definition of supplementary angles, angles A and B are supplementary.

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The temperature at any random location in a kiln used in the manufacture of bricks is normally distributed with a mean of 1000 a

NeX [460]

Answer:

b. 2.28%.

Step-by-step explanation:

Mean temperatue (μ) = 1000°F

Standard Deviation (σ) = 50 °F

For any temperature value, X, the z-score is given by:

$z=\frac{X-\mu}{\sigma}$

For X= 900°F

$z=\frac{900-1000}{50}\\z=-2.0$

A z-score of -2.0 corresponds to the 2.28-th percentile of a normal distribution. Therefore, the probability that X<900 is:

$P(X$

7 0

3 years ago

Solve the problem.When exposed to ethylene gas, green bananas will ripen at an accelerated rate. The number of days for ripening

Alex Ar [27]

The table and the plotted data are in the attachment.

Answer and Step-by-step explanation: A line of best fit is the best approximation of the given data. It is used to show the relation of two variables and it can be determined, more accurately, by the Least Square Method.

To use the method, follow the steps:

1) Calculate the mean of the two variables:

$X = \frac{\Sigma x_{i}}{n}$

$Y=\frac{\Sigma y_{i}}{n}$

2) The Slope of the line is given by:

$m=\frac{\Sigma (x_{i}-X)(y_{i}-Y)}{\Sigma (x_{i}-X)^{2}}$

3) The y-intercept is found by the formula:

$b=Y-mX$

For the ripening of bananas, the least square method gives the line:

y = -0.142x + 5.56

The rate of change of a line equation is its slope, so

Rate of change = -0.14

The rate of change of ripening time with respect to exposure time is -0.14, which means the more expose the fruit is, the less time it needs to ripe.

Download pdf

7 0

2 years ago

stefan plants seeds for 30 carrot plants and 45 beet plants in 5 rows,with the same number of seeds in each row.how many seeds a

lutik1710 [3]

30+45=75

75/5=15

15 seeds in each row!!

Hope i helped:)

5 0

3 years ago

Cards labeled 5, 6, 7, 8, and 9 are in a stack. A card is drawn and not replaced. Then, a second card is drawn at random. Find t

Rom4ik [11]

Answer:

1/10

Step-by-step explanation:

the probability of your first pick was 1/5, if not retured=ned, the probability of you getting an even number next will then be 2/4. (1/5)(2/4)=1/10

6 0

3 years ago

I will mark Brainliest!!

EastWind [94]

Answer:

C.) -5 and 5

Step-by-step explanation:

Plug in -5 & 5 separately for x.

Plug in -5 for in the equation. Remember to follow PEMDAS. First solve for power, then multiplication.

2(-5)² = 50

2(25) = 50

50 = 50 (True).

Plug in 5 into the equation for x. Remember to follow PEMDAS. First solve for power, then multiplication.

2(5)² = 50

2(25) = 50

50 = 50 (True).

7 0

3 years ago