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Evgen [1.6K]
3 years ago
8

In Exercises 10–14, use the diagram to determine whether you can assume the statement.

Mathematics
1 answer:
lukranit [14]3 years ago
7 0

Answer:

  it depends on what he means

Step-by-step explanation:

The friend needs to clarify the meaning of "if three lines intersect each other." If Line A intersects lines B and C, there will be two points of intersection, one at line B and one at line C.

If those lines are all in the same plane, and B and C are not parallel, so that line B intersects line C, then there will be a total of three points of intersection.

If the point of intersection of B and C is also the point where line A intersects them, then there will be only one point of intersection.

__

So, if the meaning is "if there are three non-parallel lines in the same plane, and each intersects the other two", then the Line Intersection Postulate guarantees there will be 1 or 3 points of intersection.

If the meaning is "if there are three lines not necessarily in the same plane, and one intersects the other two (but those two don't intersect each other)", then there may be 1 or 2 points of intersection (allowing that all lines may intersect at the same point).

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A jet flies 405 miles in 5 hours. At this rate. how far could the jet fly in 15 hours? PLS
Marizza181 [45]

Answer: 1215 miles

Step-by-step explanation:

405 miles in 5 hours is 81 mph so you multiply that mph by the amount of hours you want (15)  so 81 x 15 = 1215

3 0
3 years ago
Pls help. Abcdefjnshshsjnwishejjsjwhaunrshwjhd<br><br><br><br><br> Jauahshwj
Lubov Fominskaja [6]

x = 72

Step-by-step explanation:

x + (2x - 36) = 180

3x - 36 = 180

3x = 180 + 36

3x = 216

x = 216/3

x = 72

6 0
2 years ago
What is the 72nd term of -27, -11, 5
FinnZ [79.3K]

Answer:

1109

Step-by-step explanation:

The first term is -27, and the common difference is 16.

The nth term is:

a = a₁ + d (n − 1)

a = -27 + 16 (n − 1)

a = -27 + 16n − 16

a = 16n − 43

The 72nd term is:

a = 16(72) − 43

a = 1109

5 0
3 years ago
Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> 500(1.075)120x = 100.000
Volgvan

Answer:

The solution is:

x = 0.61

Step-by-step explanation:

The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So

500(1.075)^{120x} = 100000

(1.075)^{120x} = \frac{100000}{500}

(1.075)^{120x} = 200

To find x, we have to apply log to both sides of the equality.

We also have that:

\log{a^{x}} = x\log{a}

So

\log{(1.075)^{120x}} = \log{200}

120x\log{1.075} = 2.30

120x*0.03 = 2.30

3.77x = 2.30

x = \frac{2.30}{3.77}

x = 0.61

4 0
3 years ago
Find three consecutive integers such that the product of the first and third is 5 greater than 5 times the second.
ivolga24 [154]

Answer:

Step-by-step explanation:

3 consecutive integers....

1st integer = x

2nd integer = x + 1

3rd integer = x + 2

the product of 1st and 3rd is 5 greater then 5 times the 2nd...

x(x+2) = 5(x + 1) + 5

x^2 + 2x = 5x + 5 + 5

x^2 + 2x = 5x + 10

x^2 + 2x - 5x - 10 = 0

x^2 - 3x - 10 = 0

(x - 5)(x + 2) = 0

x - 5 = 0             x + 2 = 0

x = 5                   x = -2

so it will be : 5,6,and 7     or -2,-1, and 0

6 0
3 years ago
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