There are 8 students on the minibus.Five of the students are boys. What fraction of the students are boys
2 answers:
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m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°
Solution:
Line intersect at a point W.
Given .
<em>Vertical angle theorem:</em>
<em>If two lines intersect at a point then vertically opposite angles are congruent.</em>
<u>To find the measure of all the angles:</u>
∠AWB and ∠DWC are vertically opposite angles.
Therefore, ∠AWB = ∠DWC
⇒ ∠AWB = 138°
Sum of all the angles in a straight line = 180°
⇒ ∠AWD + ∠DWC = 180°
⇒ ∠AWD + 138° = 180°
⇒ ∠AWD = 180° – 138°
⇒ ∠AWD = 42°
Since ∠AWD and ∠BWC are vertically opposite angles.
Therefore, ∠AWD = ∠BWC
⇒ ∠BWC = 42°
Hence the measure of the angles are
m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°.
<h3>Given :-</h3>
- Pranav ran 20.3 km more than Branda
- Pravin ran 38.6 km
To find :
- No. of kilometers did Brenda run.
- No. of kilometers ran by Brenda be x.
Equation formed:-
Total distance covered by Pravan = More distance covered by Pravan + distance covered by Brenda.
Therefore:-
Write the equation
When we transfer 20.3 to left side the positive sign (+) will change into negative sign (–)
Arrange the equation because x is always represented at left side.
After subtracting 38.6 with 20.3 we will get result as 18.3 .
