Oranges 1/2 × 3 = 1/2 × 3/1 = 3/2 = 1 1/2
Apple's. 3/5 × 3 = 3/5 × 3/1 = 9/5= 1 4/5
Blueberries. 1/4 × 3 = 1/4 × 3/1= 3/4
Peaches 2/3 × 3 = 2/3 × 3/1 = 6/3 = 2
Answer:
a = 6, b = 22.5
Step-by-step explanation:
One triangle is 2.5 times bigger than the other.
9*2.5=22.5 which means b = 22.5
15/2.5=6 which means a = 6
Answer:
32 students
Explanation:
We are given that:
Students in the class can either speak French, German or both
15 students know French
17 students know German
Now, the maximum number in the class can be calculated by assuming that no student can speak both languages.
This means that the number of students will be the summation of those who know French only (15) and those who know German only (17)
In this case:
the maximum number of students = 15 + 17 = 32 students
Hope this helps :)
Answer:
The tax is $1.88
Step-by-step explanation:
7.5% = 0.075 (divide by 100)
0.075 * $25 = 1.875 or $1.88
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
