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:
P(n,4)÷P(n,2)
= (n-2)(n-3)
20 = 4 × 5 (two consecutive numbers)
(n-2)(n-3)=5×4
n-2=5
n=7
Answer:
The actual area of land is 80 mi² .
Step-by-step explanation:
Given that we have to find the actual area so first we have to square the ratio(scale factor) :
1 in : 5 mi
(1 in)² : (5 mi)²
1 in² : 25 mi²
Next, the actual area will be :
1 in² = 25 mi²
(1 × 3.2) in² = (25 × 3.2) mi²
3.2 in² = 80 mi²
SOLUTION:
16% of 44 = 44 × 16% OR 44 × 16 / 100 OR 44 × 0.16
16% of 44 = 7.04
16% of 44 = 7.0 ( rounded to the nearest tenth )
Hope this helps! :)
Have a lovely day! <3
Answer:
B-28+19m
Explanation:
