Answer:
The value of x is 144°
Step-by-step explanation:
<em>Let us revise some facts about the circle</em>
- The measure of the circle is 360°
- The length of the circle is 2πr (circumference)
- If the length of an arc is a/b of the circumference (its length = a/b ×2πr), then the measure of the arc is also a/b of its measure (its measure = a/b × 360°)
- The measure of any central angle equals the measure of its subtended arc
<em>In the given question</em>
∵ A is the center of the circle
∴ Angle x is a central angle subtended by arc BC
∴ The value of x = the measure of arc BC
∵ The length of the arc BC is 2/5 of the circumference of the circle
∴ The measure of arc BC is 2/5 of the measure of the circle
∵ The measure of the circle = 360°
∴ x = 2/5 × 360°
∴ x = 144°
The value of x is 144°
Answer:
y=-5x-7
Step-by-step explanation:
hope that helps!
Answer:
60
Step-by-step explanation:
Central Angle = Intercepted Arc
The central angle is 60 so the intercepted arc is 60
Answer:
The m∠5 (measure of angle 5) is 135°.
Step-by-step explanation:
The m∠1 is equal to 135°. Since ∠1 and ∠5 are alternate exterior angles, they will be congruent.
Answer:
.753
Step-by-step explanation:
Let Ps = probability both marbles are the same color.
Let Pd = probability both marbles are a different color.
Pd = 1 -Ps
Let Pb = probability both marbles are blue
Let Pr = probability both marbles are red.
Let Pg = probability both marbles are green
Pb= 2/9 * 1/9 = 2/81
Pr= 4/9 * 3/9 = 12/81
Pg=.3/9 * 2/9= 6/81
Ps = Pb + Pr +Pg= 20/81
Pd =1-Ps= 61/81 = .753
Is this correct?