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Mila [183]
3 years ago
5

Just need help with #6

Mathematics
1 answer:
Anarel [89]3 years ago
3 0

Answer:

Step-by-step explanation:

a) The rate of change is referred to as slope

Slope = change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

From the graph,

y2 = 160 = final value of y

y 1 = 260 = initial value of y

x2 = 10 = final value of x

x1 = 5 = initial value of x.

Slope = (160 - 260)/10 - 5)=-100/5

Slope = -20

b) initial height of the biker above the Canyon was 360 feets. It is reducing as the time is increasing.

c) it took the hiker 18 minutes to reach the Canyon floor.

d) After 9 minutes, the hiker was 180 feets above the Canyon floor

e) it took 7 minutes for the hiker to reach 220 feets above the Canyon floor.

f) The domain is the set of all possible values of the independent variable and the independent variable is time.

The time between which the hiker was at the maximum height and the minimum height lies between 18 minutes and 0 minutes.

The domain is 0 lesser than or equal to t lesser than or equal to 18.

The range is the set of all possible values of the dependent variable and the dependent variable is height of the hiker above the Canyon. The maximum height of the hiker was 360 feet and the minimum height of the hiker was 0 feet. Let the height be h.

The range is 0 lesser than or equal to h lesser than or equal to 360

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All the transformation performed on a pentagon does not affect on its size or its length
It is not stretched or shrunk
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        The original and transformed images are congruent

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3 years ago
In quadrilateral LMNO, LO ∥ MN.
wlad13 [49]

The additional information which would be sufficient to conclude that LMNO is a parallelogram is; ML ∥ NO, LO ≅ MN, and ML ≅ LO.

<h3>What information renders LMNO a parallelogram?</h3>

The condition for a quadrilateral to be a parallelogram is that; the opposite pairs must be parallel and consequently opposite pairs are congruent as they have equal length measures.

On this note, it can be concluded that the additional information which would be sufficient are; ML ∥ NO, LO ≅ MN, and ML ≅ LO.

Read more on parallelogram;

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6 0
1 year ago
m∠1 is 4 times m∠2. ∠1 and ∠2 are complementary. ∠1 and ∠3 are vertical angles. ∠3 and ∠4 are supplementary. What are the measur
kherson [118]

Answer:

Step-by-step explanation:

Let's write a system of equations. I'm going to call them w, x, y, and z.

w = 4x (because m∠1 is 4 times m∠2)

w + x = 90 (bc ∠1 and ∠2 are complementary, meaning they add up to 90)

w = y (bc ∠1 and ∠3 are vertical angles, meaning they are equal)

y + z = 180 (bc ∠3 and ∠4 are supplementary, meaning they add up to 180)

When we substitute w=4x into the second equation, we get 5x=90 → m∠2 = 18°. Since w=4x, m∠1 = 18*4 = 72°. Since w=y, m∠3 = 18°. Finally, because y+z=180, m∠4 = 180-18 = 162°. Hope this helps!

3 0
3 years ago
Timmy is building a new website. Right after he starts, he has 2 visitors. He expects his visitors to increase according to a mo
Alex73 [517]

Answer:

He gets 42 visitors 4 weeks after starting to build his website.

He gets 10 new visitors per week.

Step-by-step explanation:

Equation for the number of visitors:

The equation for the number of visitors Timmy's new website receives after t weeks is:

v(t) = 10t + b

In which b is the number of visitors rightly after he starts.

Timmy is building a new website. Right after he starts, he has 2 visitors.

This means that b = 2, so:

v(t) = 10t + 2

How many visitors does he get 4 weeks after starting to build his website?

This is v(4). So

v(4) = 10(4) + 2 = 40 + 2 = 42

He gets 42 visitors 4 weeks after starting to build his website.

How any new visitors does he get per week?

After 0 weeks:

v(0) = 10(0) + 2 = 0 + 2 = 2

After 1 week:

v(1) = 10(1) + 2 = 10 + 2 = 12

2 weeks:

After 2 week:

v(2) = 10(2) + 2 = 20 + 2 = 22

22 - 12 = 12 - 2 = 10

He gets 10 new visitors per week.

5 0
3 years ago
A square has a rotational symmetry of how many degrees?
anyanavicka [17]
Answer: C
all shapes must equal 360 degrees
90 x the 4 angles of the square equals 360 degrees
4 0
3 years ago
Read 2 more answers
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