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:
- See below and the attachment
Step-by-step explanation:
<em>Refer to attached graph.</em>
<em>It i</em>ncludes the points and a best fit line produced by a graphing calculator.
- 17. The scatter plot is attached
- 18. There is a positive slope. Number of field goal attempts increase as minutes played increase.
- 19. The point is plotted: 2500 minutes gives about 880 field goal attempts.
<span>cylindrical vase
r=radius </span>cylinder=radius cone
h= height cylinder=height cone
Volume cylindrical vase (V1)= 63 cm³=pi*r² *h
cone
Volume cone (V2)=pi*r² *h
if radius cylinder=radius cone and height cylinder=height cone
then V1=V2
therefore
V2= 63 cm³
the answer is The volume of cone is 63 cm³
Answer:
12¾
Step-by-step explanation:
x - ¾ = 12
x = 12 + ¾
c = 12¾ or 12.75
