Answer:
m<AOB = 50°
Step-by-step explanation:
<ACB = 25° is an inscribed angle of the circle.
<AOB is a central angle of the circle.
Thus, based on the inscribed angle theorem which states that an inscribed angle is ½ the measure of the central angle, therefore:
m<ACB = ½(m<AOB)
Substitute
25° = ½(m<AOB)
Multiply both sides by 2
2*25 = m<AOB
m<AOB = 50°
THEOREM:
- Angle sum property —: The sum of interior angles of a triangle is 180°.
ANSWER:
Let the missing angle be x.
By angle sum property,
- ∠x + 20° + 80° = 180°
- ∠x + 100 = 180°
- ∠x = 180° – 100°
- ∠x = 80°
So, <u>Correct choice</u> - [C] 80°.
Qualify for free shipping. Earthen red clay costs $0.75
per pound, and porcelain white clay costs $1.10
per pound.
To summarize the situation, the artist writes the inequality:
0.75r+1.1w≥100
, where r
is the number of pounds of earthen red clay, and w
is the number of pounds of porcelain white clay.
Which graph's shaded region shows the possible combinations of earthen red clay and porcelain white clay the artist can buy to qualify for free shipping?
Cindy: 4mph
Taylin: 4m/30 min : 8 mph
Judy:5.5m/45min : 7mph
Answer:
10 units
Step-by-step explanation:
the longest length is from (11, 1) to (3, 7) and can be clearly shown when graphed
now to find the length you must use the pythagorean theorem
the distance between 11 and 3 is 8 and the distance between 1 and 7 is 6 so
8^2 + 6^2 = c^2
64 + 36 = c^2
100 = c^2
c = 10
that is your answer