9514 1404 393
Answer:
- arc BC = 60°
- m∠ADC = 60°
- m∠AEB = 105°
- m∠ADP = 45°
- m∠P = 60°
Step-by-step explanation:
The sum of arcs of a circle is 360°. The given conditions tell us arc BC ≅ arc AB, so the four arcs of the circle have ratios ...
CB : BA : AD : DC = 2 : 2 : 3 : 5
The sum of ratio units is 2+2+3+5 = 12, so each one stands for 360°/12 = 30°. Then the arc lengths are ...
arc BC = arc BA = 60° . . . . 2 ratio units each
arc AD = 90° . . . . . . . . . . . . 3 ratio units
arc DC = 150° . . . . . . . . . . . .5 ratio units
The inscribed angles are half the measure of the intercepted arcs:
∠ADC = (1/2) arc AC = 1/2(120°) = 60°
∠ADP = 1/2 arc AD = 1/2(90°) = 45°
The angles at E are half the sum of the measures of the intercepted arcs.
∠AEB = (arc AB + arc CD)/2 = (60° +150°)/2 = 105°
Angle P is half the difference of the intercepted arcs.
∠P = (arc BD -arc AD)/2 = (210° -90°)/2 = 120°/2 = 60°
__
In summary, ...
arc BC = 60°
m∠ADC = 60°
m∠AEB = 105°
m∠ADP = 45°
m∠P = 60°
Answer:
10) C or D
11) C
12) B
Step-by-step explanation:
Answer:
6/11
Step-by-step explanation:
2/11 x 3/11
The elf ate 5/8 of the 10 muffins you had to figure out how many were eaten,
1. you have to multiply 5/8 by 10
5/8 · 10 = 6.25
2. now to figure out how many are left, subtract 6.25 from 10
10 - 6.25 = 3.75
9 x _ = 162 (ABCD) 162 divided by 9 = 18
9 x 18 = 162
6 x 18 = 108ft2
Due to the length being identical, if you work out the width and see what it can be timsed by to get the Area what you times the width with is your Length and as the length is the same, you times 6 by 18 which gives to the area of 108 ft2
