The associative property of addition is shown in equations where the order in which the evaluation is made does not change the result, providing the numbers remain in the same order. Option B demonstrates this.
All angles in a triangle add up to 180
180 = 9 + 15 + 2x - 1 + 3x
180 = 24 - 1 + 2x + 3x
180 = 23 + 5x
180 - 23 = 5x
157 = 5x
Divide both sides by 5
X = 31.4 or 157/5
Since the measures of the two angles are in the ratio 8:1, this means the bigger angle's is 8x and the smaller angle is x. Since they are complementary, they add to 90°, so you create the equation 8x+x=90°. This can be simplified to 9x=90°. Then, you divide 90 by 9 to get 10. This means x=10. Next, you replace x with 10 to find the measure of the bigger angle. 8x10=80, so the larger angle is 80°.
Answer:
∠ 5 = 49°, ∠ 6 = 131°
Step-by-step explanation:
∠ 5 and 49° are corresponding angles and are congruent, then
∠ 5 = 49°
∠ 5 and ∠ 6 are adjacent angles and are supplementary, sum to 180° , that is
∠ 6 + ∠ 5 = 180°
∠ 6 + 49° = 180° ( subtract 49° from both sides )
∠ 6 = 131°
Answer:
To find the mean , median and mode of the students.
Step-by-step explanation:
The students choose from the three definitions of average to find the mean, median or mode of the students’ height in the school.
Students develop a strategy, collect and record data, and analyse data to answer this question.
The key concepts are
Consolidating the terms mean, median and mode.
The students should find the median of the height for the school if they have collected the median result of each grade.
