Answer:
Step-by-step explanation:
1). m∠AEC = m∠AEB + m∠BEC
= 21° + 37°
= 58°
2). m∠BED = m∠BEC + m∠CED
= 37° + 44°
= 81°
3). m∠IKF = m∠IKH + m∠HKG + m∠GKF
= m∠IKH + m∠HKG + m∠IKH [Since, ∠IKH ≅ ∠GKF]
= 2∠IKH + m∠HKG
103° = 2∠IKH + 41°
2(∠IKH) = 103 - 41
m(∠IKH) = 31°
4). m∠AED = m∠AEB + m∠BEC + m∠CED
= 21° + 37° + 44°
= 102°
5). m∠JKG = 108°
m∠JKG = m∠JKI + m∠IKH + m∠HKG
108° = m∠JKI + 31° + 41°
m∠JKI = 108° - 72°
m∠JKI = 36°
6). m∠HKF = m∠GKF + m∠HKG
= m∠IKH + m∠HKG [Since, m∠GKF = m∠IKH]
= 31° + 41°
= 72°
7). m∠NQO = m∠MQN = 64°
8). m∠JKF = m∠JKI + m∠IKF
= 36° + 103°
= 139°
8). m∠MQO = 2(m∠NQO)
= 2(64)°
= 128°
9). m∠LQO = 156°
m∠LQM = m∠LQO - m∠MQO
= 156° - 128°
= 28°
10. m∠NQP = m∠NQO + m∠OQP
= 64° + m∠LQM [Since ∠OQP ≅ ∠LQM]
= 64° + 28°
= 92°
Answer:
B the 2 lb bread for 1.75
Step-by-step explanation:
The dollar per ounce for bread is $0.058 .
The dollar per ounce of bread is $0.055 .
b is the best buy .
Step-by-step explanation:
First part
As given
Bread, 1 lb. loaf for 96¢ would .
As
1 dollar = 100 cent
Now convert 96¢ into dollars .
= $0.96
As 1 pound = 16 ounce
Thus
Bread 16 ounce loaf for $0.96 .
Therefore the dollar per ounce for bread is $0.058 .
Second part
Bread, 2 lb. loaf for $1.75
As 1 pound = 16 ounce
2 pound = 2 × 16 ounce
= 32 ounce
Dollar per ounce = $ 0.055
Therefore dollar per ounce of bread is $0.055 .
Third part
As dollar per ounce for Bread, 2 lb. loaf for $1.75 is less as compared to Bread 1 lb. loaf for 96¢ .
Therefore b is the best buy .
Answer:
3c^3+2c^2
Step-by-step explanation:
Answer:
243 = 3⁵
Step-by-step explanation:
Firstly we will find the factors of 243. On calculating it see that the factors of 243 are 3 x 3 x 3 x 3 x 3.
or
243 = 9 x 9 x 3
We need to write 243 as the product of primes.
The number that divides itself or 1 are prime numbers.
3 is the only prime number here such that,
243 = 3⁵
Hence, this is the required solution.
