Parallel lines have the same slope.
Answer:
- X'(5, 2)
- Y'(0, 1)
- Z'(-1, -4)
Step-by-step explanation:
The translation increases each x-coordinate by 3, moving the point 3 units to the right. It decreases each y-coordinate by 1, moving the point 1 unit down.
(x, y) ⇒ (x+3, y-1)
X(2, 3) ⇒ X'(5, 2)
Y(-3, 2) ⇒ Y'(0, 1)
Z(-4, -3) ⇒ Z'(-1, -4)
The red arrows show the translation of each point in the graph.
Circumference = 2Pi(r) = 6Pi
angle of arc s = 360 - 106 = 254 degree
Arc length = 6Pi ( 254 ) / 360 = 4.2Pi
Pi = 3.14
Here's a diagram showing how to combine angles LDA (in red) and angle ADE (in blue). Hopefully it becomes a bit clearer why these two angles add up to line segment LE. Erase the shared segment DA if it helps show LE better.
See attached image below.
The mean score (rounded to 2 DP) in the Math's test for class B is 86.86.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Class A has 15 pupils and class B has 29 pupils. The mean score for class A is 55. Hence:
Mean score of A = (sum of all scores) / 15
55 = (sum of all scores) / 15
sum of all scores in A = 825
The mean score for both classes is 76. Hence:
[(sum of all scores in A) + (sum of all scores in B)]/(total number of pupils) = mean score of both classes
[825 + (sum of all scores in B)]/(15 + 29) = 76
sum of all scores in B = 2519
Mean score of B = (2519) / 29 = 86.86
The mean score (rounded to 2 DP) in the Math's test for class B is 86.86.
Find out more on equation at: brainly.com/question/13763238
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