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°.
Answer:
p(w) - - - - - - p = 0.5w ; for 0 < w ≤ 8
p(w) - - - - - - p = 4 ; for w < 8 and w ≤ 12
Step-by-step explanation:
Price, p of weight of a toughurt serving :
p(w) - - - - - - p = 0.5w ; for 0 < w ≤ 8
p(w) - - - - - - p = 4 ; for w < 8 and w ≤ 12
Answer:
68/100
Step-by-step explanation:
answer is 68/100