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°
1) 2x+3 = 5
-3 -3
2x =2
x=1
2) -x + 8 = 5
-8 -8
-x = -3
X=3
Answer:
63 sandwiches
Step-by-step explanation:
Pete and his friend Danny volunteered to bring sandwiches for lunch at a homeless shelter
They brought 7 loaves of bread
Each loaves have 18 slices
They used 2 slices each to make the sandwich
The first step is to calculate the total number of slices
Sinces 7 loaves of bread are used and each of them contain 18 slices then, the total number of slices can be calculated as follows
= 7 ×18
= 126 slices
Therefore since 2 slices of bread is used to make one sandwich then, the number of sandwiches that was made can be calculated as follows
= 126/2
= 63
Hence 63 sandwiches were made for the shelter
My key can’t perform this but I can solve it on a sheet...
So here I really hopes this helps
Answer:
3
Step-by-step explanation:
Since it's at the same time of the day, the ratio between the height of the person and the shadow they cast will stay the same. So the man's height to shadow ratio is 6:8 = 3:4. The son's height to shadow ratio would be the same so x:4 = 3:4 therefore his height is 3 feet.
