Answer:
<A = 133degrees
Step-by-step explanation:
Find the diagram attached
Using the theorem that "the sum of opposite angle of a cyclic quadilateral is 180 degrees, hence;
m<A + m<C = 180
4x+5 + x + 15 = 180
4x+x+5+15 = 180
5x+20 = 180
5x = 180 - 20
5x = 160
x = 160/5
x = 32degrees
Get the measure of angle A
<A = 4x+5
<A = 4(32)+5
<A = 128+5
<A = 133degrees
The student's error was in first step where he added -0.72 instead of 0.72
Step-by-step explanation:
Given equation;
z + (-0.72) = -2.5
When solving for z, eliminate the other numbers from one side.
Step 1: z + (−0.72) + (−0.72) = −2.5 + (−0.72)
In this step, the student should have added 0.72 because -0.72 was already present in the equation and to eliminate it, he should have add same number with opposite sign.
According to this Step, -0.72 and -0.72 would have been added, because according to mathematics, two numbers with minus sign are added and the sign remains same.
The student's error was in first step where he added -0.72 instead of 0.72
Keywords: addition, subtraction
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The negative reciprocal of the slope of the other line.