Answer:
∠1 ≅ ∠2 ⇒ proved down
Step-by-step explanation:
#12
In the given figure
∵ LJ // WK
∵ LP is a transversal
∵ ∠1 and ∠KWP are corresponding angles
∵ The corresponding angles are equal in measures
∴ m∠1 = m∠KWP
∴ ∠1 ≅ ∠KWP ⇒ (1)
∵ WK // AP
∵ WP is a transversal
∵ ∠KWP and ∠WPA are interior alternate angles
∵ The interior alternate angles are equal in measures
∴ m∠KWP = m∠WPA
∴ ∠KWP ≅ ∠WPA ⇒ (2)
→ From (1) and (2)
∵ ∠1 and ∠WPA are congruent to ∠KWP
∴ ∠1 and ∠WPA are congruent
∴ ∠1 ≅ ∠WPA ⇒ (3)
∵ WP // AG
∵ AP is a transversal
∵ ∠WPA and ∠2 are interior alternate angles
∵ The interior alternate angles are equal in measures
∴ m∠WPA = m∠2
∴ ∠WPA ≅ ∠2 ⇒ (4)
→ From (3) and (4)
∵ ∠1 and ∠2 are congruent to ∠WPA
∴ ∠1 and ∠2 are congruent
∴ ∠1 ≅ ∠2 ⇒ proved
Answer:
Step-by-step explanation:
a(1) = -7 (given)
a(2) = a(1) + 4 = -7 + 4 = -3
a(3) = a(2) + 4 = -3 + 4 = 1
a(4) = a(3) + 4 = 1 + 4 = 5
and so on.
We can round numbers to estimate.
337 is approximately 340.
103 is approximately 100.
340 - 100 = 240
John needs to save around $240 more in order to be able to afford the bike.
Hope this helps!
Answer:
Step-by-step explanation:
Factors of 20 = 1 2 4 5 10 20
Factors of 55 = 1 5 11 55
Factors of 90 = 1 2 3 5 6 9 10 15 18 30 45 90
Hcf = 5
