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oksano4ka [1.4K]
2 years ago
6

Two of the statements are true; one is a lie.

Mathematics
2 answers:
Afina-wow [57]2 years ago
8 0

Answer: Choice B

angle BAF and angle BAC are adjacent

=============================================================

Explanation:

Let's go through each of the answer choices.

  • Choice A is true since angles BAF and CAF form a right angle (90 degree angle). So we can rule this out.
  • Choice B is false. This is the answer. Adjacent angles must share a common ray or side, which does happen with the two angles in question (both share ray AB); however, note that angle BAF is completely inside angle BAC. We cannot have this overlap, or any overlap at all, when it comes to adjacent angles.
  • Choice C is true. The two angles combine or glue together to form a straight angle, which is 180 degrees. We can rule this answer choice out.
olya-2409 [2.1K]2 years ago
7 0

Answer:

Angle BAF and angle BAC is incorrect.

They overlap: adjacent angles do not overlap.

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What is a formula for the nth term of a given sequence
IceJOKER [234]

Answer:

a_n=-12-4(n-1)

Step-by-step explanation:

The given sequence is

-12,-16,-20...

The first term of this sequence is a_1=-12.

The common difference is

d=-16--12

d=-16+12=-4

The nth term of this arithmetic sequence is;

a_n=a_1+d(n-1)

We substitute the values for the first term and the common difference to obtain;

a_n=-12-4(n-1)

5 0
3 years ago
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Design a Roller Coaster Portfolio
scoray [572]

1) The domain is [0,300]. The range is [0,250]

2) The slope for the initial climb is 3.57. The equation of the line is y=3.57 x

3) The rate of change of the second hill is -1.4

4) The rate of change of the third hill is -2.1

5) The blue hill is steeper

6) It is not a function

Step-by-step explanation:

1)

The domain of a function is the set of values of x (the input) for which the function itself is defined.

Instead, the range of a function is the set of values of y (the output) that the function can take.

To find the domain, we have to look at the x-axis and see for which values of x the function is defined. By looking at the graph, we see that the function is defined between

x = 0 and x = 300

So, the domain is [0,300].

To find the range, we have to look at the y-axis and see for which values of y the function has an output. By looking at the graph, we see that the function has values of y between

y = 0 and x = 250

So, the range is [0,250].

2)

The slope of a function in a certain range is given by

m=\frac{\Delta y}{\Delta x}

where

\Delta y is the change in the y-coordinate

\Delta x is the change in the x-coordinate

For the initial climb (pink line), we have:

\Delta y = 250 - 0 = 250\\\Delta x = 70 - 0 = 70

Therefore, the slope in this part is

m=\frac{250}{70}=3.57

We can now write the equation of the line in the form

y = mx + b

where b is the y-intercept: since it is zero, the line has simply the form

y=mx \rightarrow y = 3.57 x

3)

Again, to calculate the slope of the hill, we use:

m=\frac{\Delta y}{\Delta x}

where

\Delta y is the change in the y-coordinate

\Delta x is the change in the x-coordinate

For the green hill, we have:

\Delta y = 60-200 = -140

\Delta x = 300-200 = 100

So the rate of change is

m=\frac{-140}{100}=-1.4

4)

As before, the rate of change of the hill is

m=\frac{\Delta y}{\Delta x}

For the blue hill, we have:

\Delta y = 30-230 = -300

\Delta x = 200-60 = 140

So the rate of change is

m=\frac{-300}{140}=-2.1

5)

To know which hill is steeper, we need to compare the magnitude of their rate of change.

In fact, both hills have rate of change negative - because we are going down along the slope. Therefore, we have to consider the magnitude of their slope.

For the green hill:

|m| = 1.4

For the blue hill:

|m|=2.1

We see that the blue hill has a greater slope (in magnitude): therefore, the blue hill is steeper.

6)

A function is defined as a mapping (operation between two sets of variables) in which to one value of x (the input) corresponds one and only one value of y (the output).

This means that a function cannot have multiple values of y for the same x (the input).

By looking at the graph, we see that this function does not respect this criterium: in fact, we see that certain values of x give multiple values of the output, y (for instance, at x=300 the function has two values). So, this is not a function.

Learn more about functions:

brainly.com/question/3511750

brainly.com/question/8243712

brainly.com/question/8307968

#LearnwithBrainly

5 0
3 years ago
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To get the value of DK we use proportionality:
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thus plugging the values we get:
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getting the reciprocal of getting both sides we have:

17/14=KD/7
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3 years ago
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