An isometric reflection is a reflection over a point or line. A dilation is not isometric transformation
2x + 3x + 5x = 180
10x = 180
x = 18
2x = 36, 3x = 54, 5x = 90
They add up to 180 (definition of sum of angles of a triangle.)
Answer:
XZ ≈ 14.4 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos29° =
=
= 
Multiply both sides by XZ
XZ × cos29° = 12.6 ( divide both sides by cos29° )
XZ =
≈ 14. 4 ( to 3 sig. figs )
Answer:
The exact values of the tangent, secant and cosine of angle theta are, respectively:



Step-by-step explanation:
The components of the unit vector are
and
. Since
, then
and
. By Trigonometry, tangent and secant can be calculated by the following expressions:


Now, the exact values of the tangent, secant and cosine of angle theta are, respectively:



Answer:
<em>The probability that the second ball is red is 71%</em>
Step-by-step explanation:
<u>Probabilities</u>
We know there are 5 red balls and 2 green balls. Let's analyze what can happen when two balls are drawn in sequence (no reposition).
The first ball can be red (R) or green (G). The probability that it's red is computed by

The probability is's green is computed by

If we have drawn a red ball, there are only 4 of them out of 6 in the urn, so the probability to draw a second red ball is

If we have drawn a green ball, there are still 5 red balls out of 6 in the urn, so the probability to draw a red ball now is

The total probability of the second ball being red is

The probability that the second ball is red is 71%