<span>To solve this we have to set up our inequality expressions with the given information:
5 * (x + 27) >= 6 * (x + 26). Now that we know the expression we can solve for x to determine the solution set. We have to rearrange and simplify the equation as follows: 5x + 135 >= 6x + 156. Now we get the x terms on one side and the integers on the other so we can solve for x: -21 >= x . The solution set would be that the number is less than or equal to -21.</span>
Answer:
It could be to: collect data from a sample of every twentieth student who arrives at school one day
Answer:
Q1
<1=80°
<2=40°
<3=25°
Q2
<JKM=30.5°
Step-by-step explanation:
Q1
Angles at the centre of a circle standing on an arc measure, such as the way <1 stands on an arc measure of 80°, are equal to that arc measure:
<1=80°
An angle on the curve of a circle standing on an arc, such as <2, is half of an angle standing on the same arc at the centre, such as <1:
<2=0.5(<1)=0.5(80)=40°
The measure of a secant-secant angle, like <3, is one-half the difference of the measures of the intercepted arcs, in this case 30° and 80°.
<3=0.5(80-30)=0.5(50)=25°
Q2
Angles at the centre of a circle standing on an arc measure, are equal to that arc measure. So imagine an angle standing at the centre, sitting on the measure mML - it would equal 187°.
However since an angle on the curve of a circle standing on the same arc as an angle at the centre is half the angle at the centre, we can say that:
<MKL=(0.5)187=93.5
The angles along a straight line add to 180, so
<JKM+93.5+56=180
<JKM=180-149.5=30.5
The answer is the first one A
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