Answer:
The measure of angle DPA is 39°
Step-by-step explanation:
step 1
Find the value of x we know that arc AB+arc BC+arc CD+arc DA=360°
substitute the values
(5x+10)°+(x+1)°+3x°+(3x+25)°=360°
Solve for x
(12x+36)°=360°
12x=360°-36°
x=324°/12=27°
step 2 Find the measure of angle DPA
we know that The measurement of the external angle is the semi-difference of the arcs which comprises
m∠DPA=(1/2)[arc DA-arc BC]
arc DA=3(27)+25=106°
arc BC=27+1=28°
substitute the values
m∠DPA=(1/2)[106°-28°]=39°
Polygon FGHIJ is the result of the rotation of ABCDE.
A = F ⇒ 117°
B = G ⇒ 90°
C = H ⇒ 127°
D = I ⇒ 90°
E = J ⇒ 117°
The measure of angle BCD remains the same because the rotation involves the whole polygon. Thus, it is still 127°
The answer to this question would be: No, they can't
Greatest common factor biggest possible value is the number value itself. There is no factor that bigger than the number.
But the least common multiple smallest possible value is the number. There is no multiple that smaller than the number.
So it is not possible to have GCF bigger than LCM.
Answer:
2100 second
Step-by-step explanation:
4:30 pm to minutes
4 × 60 + 30 = 240 + 30
= 270 minutes
5:05 to minutes
5 × 60 + 5 = 300 + 5
= 305
4:30 to 5:05
305 - 270
= 35 minutes
35 minutes to second
35 × 60
= 2100 second
Answer:
No, because the cone has a smaller volume than the ice cream
Step-by-step explanation:
V=4
3πr3=4
3·π·33≈113.09734
Volume of scoop: 113.1 cm^2
V=πr2h
3=π·2.52·10
3≈65.44985
Volume of cone: 65.45 cm^2
65.45 < 113.1
