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Inessa [10]
3 years ago
13

An equilateral triangle is dilated by a scale factor of 3. If a side of the original triangle is 6, what is the measure of a sid

e of the new triangle?

Mathematics
2 answers:
Damm [24]3 years ago
7 0

Answer:

18

Step-by-step explanation:

Let the side of the triangle be a and that of the new one be a'.

a'/a = 3/1      Insert the value of a

a'/6 = 3        Multiply each side by 6

  a' = 18

The measure of a side of the new triangle is 18.

Slav-nsk [51]3 years ago
5 0

Answer: 18 units.

Step-by-step explanation:

  • When a segment 'm' is dilated by a scale factor 'k' , then the measure of new dilated segment will be 'km'  [i.e. New side length =scale factor is multiplied to the original side-length].

Given : An equilateral triangle is dilated by a scale factor of 3.

[Note an equilateral triangle has all its side-lengths are equal.]

Side-length of the original triangle = 6 units

Then, the measure of a side of the new triangle = Scale factor x Original side-length

= 3 x 6 = 18 units

Hence, the measure of a side of the new triangle = 18 units.

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The triangles are congruent by SSS or HL. Triangle A B C is reflected across B C to form triangle A prime B C. Triangle A prime
Finger [1]

Answer:

  reflection, then rotation, then translation

Step-by-step explanation:

Read the problem statement. It tells you the sequence:

Triangle A B C is <em>reflected</em> across B C to form triangle A prime B C. Triangle A prime B C is <em>then rotated</em> about point A to form A prime B prime C prime. Triangle A prime B prime C prime is <em>then shifted to the right</em> to form A double-prime B double-prime C double-prime.

The transformations are ...

  reflection, then rotation, then translation

8 0
3 years ago
Read 2 more answers
Please answer this correctly
MrMuchimi

Answer:

11 pt

Step-by-step explanation:

There are 2 pints in one quart. This means that there are 10 pints in 5 quarts, plus 1 would be 11.

3 0
3 years ago
How many times does the quadratic function below intersect the x-axis?<br> y = 2x2 +7x+6
sattari [20]

Answer:

once

Step-by-step explanation:

since the equation is liner, with x simply to the first power, it will only cross the x axis once. x^2 would cross the x axis twice, x^3 would cross it three times, and so on

6 0
3 years ago
Pilates is a popular set of exercises for the treatment of individuals with lower back pain. The method has six basic principles
Bas_tet [7]

Answer:

a) We reject H₀     We find difference between the mean of the two groups

b) we accept H₀ : There is no statistical difference  ( in the scale of pain) when the difference in samples means is 1

Step-by-step explanation:

Group 1: Only with educational material

Sample size     n₁  =  42

Sample mean   x₁  =  3,2

Sample standard deviation  s₁  =  2,3

Group 2: With exercises with the treatment of individuals

Sample size    n₂   =  42

Sample mean    x₂  = 5,2  

Sample standard deviation   s₂  = 2,3

Test Hypothesis

Null Hypothesis                     H₀           x₂  -  x₁  = 0  or    x₁  =  x₂

Alternative Hypothesis         Hₐ           x₂  -  x ₁ > 0  or    x₂  >  x₁

Significance level  α  = 0,01

Sample sizes are n₁  =  n₂  >  30

We use z-test

for α  = 0,01     z(c)  ≈  2,32

To calculate z(s)

z(s)  =  (  x₂  -  x₁ ) / √ (2,3)²/42  + (2,3)²/42

z(s)  = ( 5,2  -  3,2 )/ √0,2519

z(s)  =  2 / 0,5

z(s) = 4

Comparing  z(s)  and z(c)

z(s) > z(c)

z(s) is in the rejection region. We reject H₀ the true average pain level for the control condition exceeds that for the treatment condition.

b) Does the true average pain level for the control condition exceed that for the treatment condition by more than 1.

In this case

z( s) =  x₂ - x₁ / 0,5

z(s) =  1 /0,5

z(s) = 2

Comparing z(s) and z(c)  now

z(s) < z(c)        2 < 2,32

And z(s) is in the acceptance region ( for the same significance level) and we should accept H₀  equivalent to say that the two groups statistical have the same mean

5 0
3 years ago
Still in class please need this fast
ivanzaharov [21]

Answer:

12 km

Step-by-step explanation:

C is 5 km

4+3+5=12

pls brainliest

7 0
2 years ago
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