A fitness club offers two membership plans.

Three transformations will be performed on triangle ABC. Which set of transformations will always produce a congruent triangle?

Airida [17]

Answer: C (Rotation, Translation and Reflection )

Step-by-step explanation:

A congruence transformation is the type that won't change the shape of the triangle.

They are the reflections(flips), rotations(turns) and translations(slides).

3 0

3 years ago

Read 2 more answers

if we add 150 to the minuend of a subtraction and we remove 220 from the subtrahend. How much does the difference vay?

Alex17521 [72]

Answer:

Step-by-step explanation:

(m+150) - (s-200) = m-s + 350

The difference increases by 350

7 0

3 years ago

Evaluate the line integral ∫cx4zds, where c is the line segment from (0,6,5) to (8,4,1).

valentina_108 [34]

Parameterize the path $\mathcal C$ by

$\mathbf r(t)=\langle0,6,5\rangle(1-t)+\langle8,4,1\rangle t=\langle8t,6-2t,5-4t\rangle$

with $0\le t\le1$ . Then

$\displaystyle\int_{\mathcal C}x^4z\,\mathrm dS=\int_{t=0}^{t=1}(8t)^4(5-4t)\sqrt{8^2+(-2)^2+(-4)^2}\,\mathrm dt=8192\sqrt{21}-16384\sqrt{\frac73}$

8 0

4 years ago

If ab = 5 centimeters, bc= 200 centimeters, what is the length of line segment ac

cluponka [151]

If you're trying to find the length of line AC, all you have to do is add the length of AB to the length of BC:
AC=AB+BC 
AC=5cm+√200cm 
AC~5cm+14.14cm 
AC=19.14cm

3 0

4 years ago

1. The probability of telesales representative making a sale on a customer call is 0.15.

Mumz [18]

Answer:

1c

$n = 33$

1d

$n = 19$

Step-by-step explanation:

From the question we are told that

The probability of telesales representative making a sale on a customer call is $p = 0.15$

The mean is $\mu = 5$

Generally the distribution of sales call made by a telesales representative follows a binomial distribution

i.e

$X \~ \ \ \ B(n , p)$

and the probability distribution function for binomial distribution is

$P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}$

Here C stands for combination hence we are going to be making use of the combination function in our calculators

Generally the mean is mathematically represented as

$\mu = n* p$

=> $5= n * 0.15$

=> $n = 33$

Generally the least number of calls that need to be made by a representative for the probability of at least 1 sale to exceed 0.95 is mathematically represented as

$P( X \ge 1) = 1 - P( X < 1 ) > 0.95$