<u>The angle based on the diameter is always right</u>
Then <ABC=90 and ∠BAC=∠ACB=45° ; and ∠BCD=180-45=135 then x=(180-135):2=22,5°
Answer:
1/12, 1/10
Step-by-step explanation:
P(Bead bracelet and red shoes) - 3/3 x 2 x 2
3/12=1/4 for bead bracelet
Red shoes - 1/3
Total probability for P(Bead bracelet and red shoes=1/4 x 1/3=1/12
P(Elastic bracelet and black shoes)
2/3 x 2 x 2
2/12=1/6 for elastic bracelet
Black shoes - 3/5
Total probablility for P(Elastic bracelet and black shoes)=1/6 x 3/5=3/10=1/10
Hope I helped!
Answer:
100
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
x(x - y)²
x = 4
y = 9
Step 2: Substitute and Evaluate
4(4 - 9)²
4(-5)²
4(25)
100
Answer:
3 pennies, 9 nickels, and 6 dimes
Step-by-step explanation:
We have three conditions:
(1) p + n + d = 18
(2) 0.01p + 0.05n + 0.10d = 1.08
(3) d = 2p
Multiply (2) by 100 and rearrange (3) to get a standard array.
(4) p + n + d = 18
(5) p + 5n + 10d = 108
(6) -2p + d = 0
Subtract (4) from (5). This gives
(4) p + n + d = 18
(7) 4n + 9d = 90
(6) -2p + d = 0
Multiply (4) by 2 and add to (6). This gives
(4) p + n + d = 18
(7) 4n + 9d = 90
(8) 2n + 3d = 36
Double (8) and subtract from (7). This gives
(4) p + n + d = 18
(7) 4n + 9d = 90
(9) 3d = 18
Divide (9) by 3. This gives
(10) d = 6
Substitute (10) into (7). This gives
4n + 9(6) = 90
4n + 54 = 90
4n = 36
(11) n = 9
Substitute (10) and (11) into (4). This gives
p + 9 + 6 = 18
p + 15 = 18
p = 3
Sasha has 3 pennies, 9 nickels, and 6 dimes.