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Damm [24]
3 years ago
15

How to determine which triangle is similar

Mathematics
1 answer:
Veronika [31]3 years ago
5 0

Answer:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

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In a research laboratory, a scientist measures the mass of a 1-carat diamond and finds it to be 200 milligrams, measured to the
vlada-n [284]

Answer:

D=3.5\ gr/cm^3

Step-by-step explanation:

<u>Density</u>

The density of an object of mass m and volume V is given by

\displaystyle D=\frac{m}{V}

It can be expressed in common units like gr/lt, Kg/m^3, gr/cm^3 or any other combination of proper mass [M] by volume [V] units.

The data provided in the question is

m=200\ mg = 0.2\ gr

V=0.057\ cm^3

Thus, the measured density is

\displaystyle D=\frac{0.2\ gr}{0.057 \ cm^3}

\boxed{D=3.5\ gr/cm^3}

We have expressed the result with 1 decimal place because the mass was measured to the nearest hundred milligrams (or one-tenth grams). Any further decimal is senseless because that precision comes from calculations, not from measurements.

6 0
3 years ago
5 - Numbers from 1 to 50 are written on a piece of paper and dropped into a box. A paper is chosen at random
zlopas [31]

Answer:

1 out of a 50% chance

Step-by-step explanation:

hope it helps

7 0
3 years ago
What is 0.055 as a fraction in simplest form?
alina1380 [7]
11/200 would be the answer yeah i know fractions :D
3 0
4 years ago
Solve for x: x^2-2x=15
Lyrx [107]

Answer:

<h2>x = 5 , x = -3</h2>

Step-by-step explanation:

x^2 - 2x = 15

x^2 - 2x - 15 = 15 - 15          (Subtract 15 from both sides.)

x^2 - 2x -15 = 0                   (Simplify.)

<em />

<em>Set up & solve for a quadratic formula</em>

<h3><em>* I will solve for your first x</em></h3>

2 + root 64 / 2x 1   =   2 + root 64 / 2

root 64 = 8

= 2 + 8 / 2

= 10 / 2

= 5

<em>To solve for the second, follow the same pattern/formula for the first that I used to get 5.</em>

5 0
3 years ago
The opposite of the opposite of 17, or -(-17), is equivalent to which of the following?
kenny6666 [7]

Answer:

17

Step-by-step explanation:

-(-17)=-1*-1*17=1*17=17

6 0
4 years ago
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