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3 years ago

BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Mathematics

1 answer:

MariettaO [177]3 years ago

5 0

6 and 8 are vertical angles

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Lake City has a population of 3600 and is expected to grow by a factor of 1.3 every 10 years. Which is the best estimate of Lake

beks73 [17]

Answer would be C
1.3* 10281.96= about 13400

3 0

3 years ago

Find the altitude of triangle whose vertex is a(1,-2) and the equation of the base is X+y=3.

Sophie [7]

Answer:

$2\sqrt {2}$

Step-by-step explanation:

<u>Distance From a Point to a Line</u>

Given a line with an equation :

ax + by + c = 0

And the point $(x_0,y_0)$

The distance from the line to the point is given by

$\displaystyle d=\frac {|ax_{0}+by_{0}+c|}{\sqrt {a^{2}+b^{2}}}$

The triangle has a vertex at (1,-2) and the base lies on the equation

x + y = 3

Rearranging:

x + y - 3 = 0

The altitude of the triangle is the distance from the point to the line.

The values to use in the formula of the distance are: a=1, b=1, c=-3, xo=1, yo=-2:

$\displaystyle d=\frac {|1*1+1*(-2)-3|}{\sqrt {1^{2}+1^{2}}}$

$\displaystyle d=\frac {|1-2-3|}{\sqrt {2}}$

$\displaystyle d=\frac {4}{\sqrt {2}}$

Rationalizing:

$\displaystyle d=\frac {4}{\sqrt {2}}\cdot\frac{\sqrt {2}}{\sqrt {2}}$

$\displaystyle d=2\sqrt {2}$

The altitude of the triangle is $\mathbf{4\sqrt {2}}$

6 0

3 years ago

For what value of x is line m parallel to line n?

harina [27]

The answer is that x = 20.
Lines m and n are parallel and angles on equivalent sides of a traversal of parallel lines are equal, therefore and as it is acute angle ( an angle that is less than 90°), So

3x + 5 = 65°

3x = 65 – 5

3x = 60

x= 20

6 0

3 years ago

Read 2 more answers

Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 43 day

Sunny_sXe [5.5K]

Answer: 0.0688

Step-by-step explanation:

Given : Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 43 days and a standard deviation of 10.1 days.

i.e. $\mu=43$ and $\sigma= 10.1$