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Aleksandr [31]
3 years ago
9

The Map of a biking trail is drawn on a coordinate grid

Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0
It is 19. Hope this helps!!
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In Exercises 10–14, use the diagram to determine whether you can assume the<br> statement.
lukranit [14]

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).

7 0
3 years ago
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.3 years, and standard deviation of
Zolol [24]

Answer:

probability of lasting longer = 1.7%

Step-by-step explanation:

We are given:

x' = 14 years

μ = 12.3 years

s = 0.8 years

Thus, let's use the formula for the Z-score value which is;

z = (x' - μ)/s

Thus;

z = (14 - 12.3)/0.8

z = 2.125

From the z-distribution table attached, the p-value is ;

P(x' > 2.125) = 1 - 0.983 = 0.017 = 1.7%

Thus,probability of lasting longer = 1.7%

5 0
3 years ago
simplify (x − 2)(x + 9) using the table method, and identify the resulting expression in standard form.
NeX [460]

Answer:

this should be right if not comment and I'll relook it.

FOIL Method.

You will get the same answer x^2+ 7x- 18

5 0
4 years ago
Read 2 more answers
Simplify open parentheses x to the 2 third power close parentheses to the 4 fifths power.
MissTica
X to the 8/15 power. When you have a power raised to another power, you multiply the exponents.
3 0
3 years ago
Read 2 more answers
Please help due tomorrow
mel-nik [20]

Answer: x= 2.5, y = 10

Step-by-step explanation:

<u><em>I'm going to assume that these photocopies are proportional in relations to each other.</em></u>

If they're proportional, you can set up two proportions:

1) \frac{x}{5} =\frac{3}{6} \\\\2) \frac{5}{y} =\frac{3}{6}

And cross-multiply:

1) 6x = 5*3 \\\\2) 3y = 5*6

Then solved for x and y:

1) 6x = 15\\x=\frac{15}{6} =\frac{5}{2} =2.5 \\\\2) 3y = 30\\y=\frac{30}{3} =10

5 0
3 years ago
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