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°
Answer:
36+9x=99
x=7
Step-by-step explanation:
36+9x=99
Subtract 99 and 36:
63
9x=63
Divide:
x=7
1/2 ; you must look at rise over run. It goes up by one, runs over 2. 1/2 is a half
Answer:
0.15
Step-by-step explanation:
3divided by 2
