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Mathematics

1 answer:

skad [1K]2 years ago

7 0

Since the lines have the same slopes, hence they are parallel lines

<h3>How to determine the relationship between lines</h3>

We can determine the relations by knowing the slopes of the line

For the line with coordinates (9, –5) and (5, –2)

Slope = -2+5/5-9
Slope = -3/4

For the line with coordinates (–4, –2) and (–8, 1)

Slope = 1+2/-8+4
Slope = -3/4

Since the lines have the same slopes, hence they are parallel lines

Learn more on parallel lines here: brainly.com/question/16742265

#SPJ1

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the three inside angles (A, B and C) of the right-angled triangle are in the ratio 7 to 18 to 11 the smallest angle is 35° burge

Degger [83]

Answer:

35 degrees, 60 degrees, and 55 degrees

Step-by-step explanation:

I'm not sure what you're trying to ask for the answer, but I'm assuming it's the degrees.

Think about it: A right triangle automatically has a 90 degree angle, and it already gave one of the degrees as 35 degrees. Adding those up, it equals 125 degrees. 180 (sum of degrees in a triangle) -125=55 degrees.

Therefore, the triangle's degrees are 35, 55, and 60 degrees.

hope this helped!~

3 0

3 years ago

a countrys population in 1992 was 72 million in 1998 it was 76 million estimate the population in 2012 using the exponential gro

crimeas [40]

Hi there
First find the rate of growth between
1992 and 1998
The formula is
P=Ae^rt
P the population in 1998. (76 million)
A the population in 1992 (72 million)
E constant
R rate of growth?
T time 1,998−1,992=6 years
We need to solve for r
R=[log (p/A)÷log (e)]÷t
R=(log(76÷72)÷log(e))÷6
R=0.009

Now find the population in 2012
P=Ae^rt
P ?
A 72 million
R 0.009
T 2,012−1,992=20 years
So
P=72×e^(0.009×20)
P=86.2 round your answer to get
P=86 million

Good luck!

5 0

3 years ago

Find the volume of the cone shown, if r=8 cm and AC=AB=17 cm

Papessa [141]

Answer:

1005.3 cm³

Step-by-step explanation:

The radius of the cone (r) is 8 cm and the slant height is AC = AB = 17 cm.

Therefore, the height of the cone (h) will be given by $\sqrt{17^{2} - 8^{2}} = \sqrt{225} = 15$ cm.