The reference angle of an angle is obtained by subtracting the angle with 360n where n is an integer until the resulting angle is below 360. In this case, 780 - 360 is equal to 420. this is still more than 360, hence 420 - 360 is equal to 60. the answer thus is 60 degrees.
The number is x
4x+40=100-x
add x to both sides
5x+40=100
minus 40 both sides
5x=60
divide both sides by 5
x=12
the number is 12
A) 10. You divide 5/4 to get 1.25 and multiply that by 8 to get 10.
Answer:
Roughly 6.2 days will have below freezing according to Ms. Perkins
Step-by-step explanation:
20% of days in march Ms Perkins predicts will be below freezing.
March in the year 2019 has 31 days
20% is the same as .20
.20 * 31 = 6.2
Answer:
m<R=44.9,m<S=56.9,m<T=44.9,m<U= 32.9.
Step-by-step explanation:
When two chords are equal then the measure of the arcs are equal.
Chord RU= Chord UT
Or , m arc RU= m arc UT,
3z-4=x+2z+7 Or z=x+11
Chord RS=Chord ST ,
m arc RS=m arc ST=3x+5
Sum of m arc in a circle =360 degrees.
Or ,
3x+5+3x+5+3z-4+x+2z+7=360
7x+5z+13=360
Substituting z=x+11
7x+5(x+11)+13=360
7x+5x+55+13=360
12x+68=360
12x=292,x=24.3
z=x+11=11+24.3=34.3
m arc RU=marc UT= 3z-4=3(24.3)-4=69
m arc RS =marc ST= 3x+5=3(24..3)+5=77.9
m<R= (marc UT+ m arc ST)÷2
m<R=(69+77.9)÷2=73.45
m<S= (m arc RU+m arc UT)÷2
m<S= (69+69)÷2=69
m<T=(m arc RU+m arc RS)÷2=73.45
m<U=(m arc RS+m arc m arc ST)÷2=77.9
