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fgiga [73]
3 years ago
14

△PQR has two known interior angles of 34°, and 80°. △RST has two known interior angles of 24°, and 90°. What can be determined a

bout whether △PQR and △RST are similar? All interior angles must be given to determine similarity. The triangles are not similar. Similarity cannot be determined from the given information. The triangles are similar.
Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
3 0
In order for two triangles to be similar, there must be 2 pairs of congruent angles. Since two angles of triangle PQR have different measures from two angles of triangle RST, it is impossible to have two pairs of congruent angles, so the triangles cannot be similar.

The answer is in bold type below.

<span>All interior angles must be given to determine similarity.
The triangles are not similar.
Similarity cannot be determined from the given information.
The triangles are similar. </span>
Wittaler [7]3 years ago
3 0

The Triangles are not similar Hope this helped

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Given the data set (18,14, 12, 14, 11, 11, 19, 20, 16, 11), which statements are correct?
Anuta_ua [19.1K]

The correct statement is that the <u>range of the data is 9</u>

<h3>Range of a data</h3>

The formula for calculating the range of data is expressed as:

Range = Highest value - Lowest value

From the given data

  • Highest value = 20
  • Lowest value = 11

Substituting into the formula

Range = 20 - 11

Range = 9

Hence the correct statement is that the <u>range of the data is 9</u>

Learn more on range here: brainly.com/question/2264373

6 0
2 years ago
25.
bulgar [2K]

Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem, we have that:

  • The angle is of 45º.
  • The vertical distance is the height of h.
  • The horizontal distance is of 3m.

Hence:

tan(45º) = h/3.

1 = h/3.

h = 3 m.

If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:

\tan{\theta} = \frac{2}{3}

\theta = \arctan{\left(\frac{2}{3}\right)}

\theta = 33.69^\circ

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

8 0
2 years ago
Kittens weigh about 100 grams when born and gain 7 to 15 grams per day.If a kitten weighed 100 grams at birth and gained 8 grams
natka813 [3]
100 + 8d = 300; d = 25; The kitten will triple its weight in 25 days
8 0
3 years ago
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The cost of 3 markers and 2 pencils is $1.80. The cost of 4 markers and 6 pencils is $2.90. What is the cost of each item? Inclu
RideAnS [48]
Let M = marker cost
Let P = pencil cost

3 markers and 2 pencils cost 1.80 ==> 3M + 2P = 1.80

4 markers and 6 pencils cost 2.90 ==> 4M + 6P = 2.90

Multiply the first equation by (-3) and add it to the second equation

-9M - 6P = -5.40
4M + 6P = 2.90

-5M = -2.50
M = 0.50

Plug this value for M into the 1st equation and solve for P

3*(0.50) + 2P = 1.80
1.50 + 2P = 1.80
2P = 0.30
P = 0.15

So a marker costs 50 cents and a pencil costs 15 cents
7 0
2 years ago
The polynomial factor to X^3 + 2x^2-3x
dangina [55]

Answer:

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Step-by-step explanation:

Factor out the common terms, and get: x(x^2+2x-3)

Factor (x^2+2x-3), and get: (x-1)(x+3)

<em>Hope this helps!!</em>

4 0
3 years ago
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