Answer:
58°
Step-by-step explanation:
If m AM=125°, then m∠AOM=125°.
If m∠MAF=75°, then m∠MOF=150° (because central angle MOF subtends on the same arc as inscribed angle MAF).
Thus,
m∠FOA=360°-150°-125°=85°.
If mEF=31°, then m∠EOF=31° (as central angle subtended on the arc EF).
Hence,
m∠EOA=m∠EOF+m∠FOA=31°+85°=116°.
Angle EOA is central angle subtended on arc EA, angle AME is inscribed angle subtended on arc AE, thus
m∠AME=1/2m∠EOA=58°.
13+14=180°
12x-22+9x-29=180
21x-51=180
x=11
m<2=m<14
m<2=70°
Answer:
3 dollars and 9 cents.
Step-by-step explanation:
From the question given above, the following data were obtained:
Total amount = 20 dollars
Amount for gift A = 9 7/10 dollars
Amount for gift B = 6 2/5 dollars
Amount for gift C =?
The amount of money she has left for gift C can be obtained as follow:
A + B + C = 20
9 7/10 + 6 2/5 + C = 20
Change to improper fraction
97/10 + 32/5 + C = 20
(97 + 64)/10 + C = 20
161/10 + C = 20
Collect like terms
C = 20 – 161/10
C = (200 – 161)/10
C = 39/10
Change to mixed fraction
C = 3 9/10 dollars
C = 3.9
C = 3 dollars and 9 cents
Therefore, Kathy had 3 dollars and 9 cent for gift C